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"assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 11 ], "measurement_codes": [ 13 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Psychologie & Kognition", "title": "Modellierung der Vergessenskurve nach Ebbinghaus durch exponentiellen Zerfall" }, "en": { "category": "Psychology & cognition", "title": "Modelling the Ebbinghaus forgetting curve with exponential decay" } }, { "no": 39, "source_index": 249, "id": "topic-249-modelling-smoking-risk-with-life-expectancy-data", "category_key": "probability-risk", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 12 ], "measurement_codes": [ 0 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Wahrscheinlichkeit & Risiko", "title": "Untersuchung des Risikos von Raucherverhalten durch Lebenserwartungsmodelle" }, "en": { "category": "Probability & risk", "title": "Modelling smoking risk with life-expectancy data" } }, { "no": 40, "source_index": 257, "id": "topic-257-modelling-coffee-brewing-through-extraction-rates-and-temperature", "category_key": "culinary-mathematics", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 3, 13, 16 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Kulinarische Mathematik", "title": "Modellierung des Kaffeekochens: Extraktionsraten und Temperaturen" }, "en": { "category": "Culinary mathematics", "title": "Modelling coffee brewing through extraction rates and temperature" } }, { "no": 41, "source_index": 265, "id": "topic-265-insulating-performance-of-cup-materials-time-taken-to-approach-room-te", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 3, 4, 1, 6 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Isolationswirkung von Bechermaterialien: Zeit bis zur Raumtemperatur" }, "en": { "category": "Thermodynamics", "title": "Insulating performance of cup materials: time taken to approach room temperature" } }, { "no": 42, "source_index": 285, "id": "topic-285-determining-the-density-of-different-woods-from-mass-and-volume", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 1, 13, 14 ], "safety_code": 3, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Dichte-Bestimmung verschiedener Holzsorten durch Masse und Volumenmessung" }, "en": { "category": "Material properties", "title": "Determining the density of different woods from mass and volume" } }, { "no": 43, "source_index": 305, "id": "topic-305-solar-cell-power-at-different-light-angles-and-distances", "category_key": "electricity", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 5, 1, 10, 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Elektrizität", "title": "Leistung einer Solarzelle bei verschiedenen Lichtwinkeln (0° – 90°) und Abständen" }, "en": { "category": "Electricity", "title": "Solar-cell power at different light angles and distances" } }, { "no": 44, "source_index": 325, "id": "topic-325-electrolysis-of-water-electrode-mass-change-versus-applied-voltage", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 5, 16, 21 ], "safety_code": 2, "source_course_label": "AA HL", "de": { "category": "Kombinierte Experimente", "title": "Elektrolyse von Wasser: Masseänderung an Elektroden vs. angelegte Spannung" }, "en": { "category": "Combined experiments", "title": "Electrolysis of water: electrode mass change versus applied voltage" } }, { "no": 45, "source_index": 345, "id": "topic-345-which-teapot-material-retains-heat-longest-cast-iron-glass-or-porcelai", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 3, 4, 1, 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Teekannen-Test: Welches Material (Gusseisen, Glas, Porzellan) hält Temperatur am längsten?" }, "en": { "category": "Kitchen & everyday life", "title": "Which teapot material retains heat longest: cast iron, glass or porcelain?" } }, { "no": 46, "source_index": 355, "id": "topic-355-rainwater-precipitation-amount-temperature-and-electrical-conductivity", "category_key": "environment", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 2, 3, 5, 1 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Umwelt", "title": "Regenwasser: Masse Niederschlag, Temperatur und elektrische Leitfähigkeit" }, "en": { "category": "Environment", "title": "Rainwater: precipitation amount, temperature and electrical conductivity" } }, { "no": 47, "source_index": 365, "id": "topic-365-skin-surface-temperature-recovery-after-a-safe-cold-water-exposure", "category_key": "physiology", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 4, 1, 3, 19 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Physiologie", "title": "Hauttemperatur verschiedener Körperregionen nach Kaltwasseranwendung (IR-Mapping)" }, "en": { "category": "Physiology", "title": "Skin-surface temperature recovery after a safe cold-water exposure" } }, { "no": 48, "source_index": 370, "id": "topic-370-heat-distribution-around-skateboard-or-longboard-axles-after-riding", "category_key": "materials", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 4, 3, 8, 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Materialien", "title": "Wärmeverteilung auf einem Skateboard/Longboard nach Fahrt (Reibung an Achsen)" }, "en": { "category": "Materials", "title": "Heat distribution around skateboard or longboard axles after riding" } }, { "no": 49, "source_index": 2, "id": "topic-002-modelling-population-growth-logistic-versus-exponential-models", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 11 ], "measurement_codes": [ 13 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Modellierung von Populationswachstum: Logistisch vs. Exponentiell" }, "en": { "category": "Algebra & number theory", "title": "Modelling population growth: logistic versus exponential models" } }, { "no": 50, "source_index": 22, "id": "topic-022-newton-s-law-of-cooling-modelling-with-differential-equations", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 3, 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Analysis & Calculus", "title": "Newtons Abkühlungsgesetz: Modellierung mit Differentialgleichungen" }, "en": { "category": "Analysis & calculus", "title": "Newton's law of cooling: modelling with differential equations" } }, { "no": 51, "source_index": 43, "id": "topic-043-the-birthday-paradox-simulation-versus-theoretical-probability", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 5 ], "measurement_codes": [ 13, 14 ], "safety_code": 3, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Geburtstagsparadoxon: Simulation vs. theoretische Wahrscheinlichkeit" }, "en": { "category": "Statistics & probability", "title": "The birthday paradox: simulation versus theoretical probability" } }, { "no": 52, "source_index": 64, "id": "topic-064-predator-prey-dynamics-the-lotka-volterra-equations", "category_key": "mathematical-modelling", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Mathematische Modellierung", "title": "Räuber-Beute-Dynamik: Lotka-Volterra-Gleichungen" }, "en": { "category": "Mathematical modelling", "title": "Predator-prey dynamics: the Lotka-Volterra equations" } }, { "no": 53, "source_index": 84, "id": "topic-084-the-seven-bridges-of-k-nigsberg-and-graph-theory", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, HL", "de": { "category": "Geometrie & Topologie", "title": "Königsberger Brückenproblem und Graphentheorie" }, "en": { "category": "Geometry & topology", "title": "The Seven Bridges of Königsberg and graph theory" } }, { "no": 54, "source_index": 103, "id": "topic-103-mortgage-repayment-how-much-can-an-extra-payment-save", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 5 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Hypothekenrückzahlung: Wie viel spart eine Extrazahlung?" }, "en": { "category": "Financial mathematics", "title": "Mortgage repayment: how much can an extra payment save?" } }, { "no": 55, "source_index": 120, "id": "topic-120-boolean-algebra-and-logic-gates-de-morgan-s-laws", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Boolesche Algebra und Logikgatter: De Morgansche Gesetze" }, "en": { "category": "Logic, set theory & proof", "title": "Boolean algebra and logic gates: De Morgan's laws" } }, { "no": 56, "source_index": 135, "id": "topic-135-analysing-sorting-algorithms-running-time-and-comparisons", "category_key": "discrete-mathematics-computer-science", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 7, 12 ], "measurement_codes": [ 6, 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Analyse von Sortieralgorithmen (Laufzeit, Vergleiche)" }, "en": { "category": "Discrete mathematics & computer science", "title": "Analysing sorting algorithms: running time and comparisons" } }, { "no": 57, "source_index": 145, "id": "topic-145-optimising-how-to-pack-a-suitcase-or-backpack", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Optimierung des Packens eines Koffers/Rucksacks" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Optimising how to pack a suitcase or backpack" } }, { "no": 58, "source_index": 160, "id": "topic-160-optimal-blackjack-hand-strategy-using-probability", "category_key": "game-theory-decision-making", "assessment_code": 3, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7, 8 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Spieltheorie & Entscheidungsfindung", "title": "Optimale Blattstrategie im Blackjack durch Wahrscheinlichkeitsrechnung" }, "en": { "category": "Game theory & decision-making", "title": "Optimal blackjack hand strategy using probability" } }, { "no": 59, "source_index": 179, "id": "topic-179-modelling-seasonal-water-levels-in-local-lakes", "category_key": "environmental-mathematics-sustainability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Modellierung des Wasserspiegels in lokalen Seen über die Jahreszeiten" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Modelling seasonal water levels in local lakes" } }, { "no": 60, "source_index": 189, "id": "topic-189-modelling-force-distribution-while-climbing-on-different-wall-angles", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 13, 15 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Modellierung der Kraftverteilung beim Klettern an verschiedenen Wänden" }, "en": { "category": "Sports biomechanics & movement", "title": "Modelling force distribution while climbing on different wall angles" } }, { "no": 61, "source_index": 199, "id": "topic-199-analysing-sentiment-trends-on-social-media-over-time", "category_key": "data-science-introductory-algorithms", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 6 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Datenwissenschaft & Einfache Algorithmen", "title": "Analyse von Sentiment-Trends in sozialen Medien über Zeit" }, "en": { "category": "Data science & introductory algorithms", "title": "Analysing sentiment trends on social media over time" } }, { "no": 62, "source_index": 209, "id": "topic-209-sensitivity-to-initial-conditions-and-the-butterfly-effect", "category_key": "chaos-dynamical-systems", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Chaos & Dynamische Systeme", "title": "Analyse der Sensitivität gegenüber Anfangsbedingungen (Schmetterlingseffekt)" }, "en": { "category": "Chaos & dynamical systems", "title": "Sensitivity to initial conditions and the butterfly effect" } }, { "no": 63, "source_index": 216, "id": "topic-216-modelling-dissonance-with-interval-frequency-ratios", "category_key": "music-acoustics-waves", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8, 11 ], "measurement_codes": [ 9, 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Musik, Akustik & Wellen", "title": "Modellierung der Dissonanz durch Intervall-Frequenzverhältnisse" }, "en": { "category": "Music, acoustics & waves", "title": "Modelling dissonance with interval-frequency ratios" } }, { "no": 64, "source_index": 225, "id": "topic-225-mathematical-analysis-of-escher-tessellations-and-symmetry-groups", "category_key": "art-design-architecture", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 8 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kunst, Design & Architektur", "title": "Mathematische Analyse von Eschers Tessellationen und Symmetriegruppen" }, "en": { "category": "Art, design & architecture", "title": "Mathematical analysis of Escher tessellations and symmetry groups" } }, { "no": 65, "source_index": 234, "id": "topic-234-light-curves-of-variable-stars", "category_key": "astronomy-spaceflight", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 10, 17 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Astronomie & Raumfahrt", "title": "Untersuchung der Helligkeitskurven von Variablen Sternen" }, "en": { "category": "Astronomy & spaceflight", "title": "Light curves of variable stars" } }, { "no": 66, "source_index": 242, "id": "topic-242-analysing-mathematical-patterns-in-sleep-and-rem-cycles", "category_key": "psychology-cognition", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 6 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Psychologie & Kognition", "title": "Analyse der mathematischen Muster in Träumen (REM-Zyklen)" }, "en": { "category": "Psychology & cognition", "title": "Analysing mathematical patterns in sleep and REM cycles" } }, { "no": 67, "source_index": 250, "id": "topic-250-modelling-the-failure-probability-of-technical-devices", "category_key": "probability-risk", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11, 12 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Wahrscheinlichkeit & Risiko", "title": "Modellierung der Ausfallwahrscheinlichkeit technischer Geräte (Zuverlässigkeit)" }, "en": { "category": "Probability & risk", "title": "Modelling the failure probability of technical devices" } }, { "no": 68, "source_index": 258, "id": "topic-258-the-geometry-of-pasta-shapes-and-their-cooking-times", "category_key": "culinary-mathematics", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 6 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kulinarische Mathematik", "title": "Untersuchung der geometrischen Formen von Nudeln und deren Kochzeit" }, "en": { "category": "Culinary mathematics", "title": "The geometry of pasta shapes and their cooking times" } }, { "no": 69, "source_index": 266, "id": "topic-266-heating-surfaces-of-different-colours-in-sunlight-black-white-red-and-", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 3, 4, 1 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Erwärmung von Oberflächen verschiedener Farben im Sonnenlicht (schwarz, weiß, rot, silber)" }, "en": { "category": "Thermodynamics", "title": "Heating surfaces of different colours in sunlight: black, white, red and silver" } }, { "no": 70, "source_index": 286, "id": "topic-286-water-content-of-fruits-and-vegetables-measured-by-oven-drying", "category_key": "material-properties", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 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"topic-326-specific-heat-capacity-of-different-liquids-under-equal-energy-input", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Spezifische Wärmekapazität verschiedener Flüssigkeiten (gleiche Energiezufuhr, ΔT messen)" }, "en": { "category": "Combined experiments", "title": "Specific heat capacity of different liquids under equal energy input" } }, { "no": 73, "source_index": 346, "id": "topic-346-ice-cream-melting-rate-mass-loss-and-surface-temperature-across-differ", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 4, 1, 3 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Eiscreme-Schmelzrate: Masseverlust und Oberflächentemperatur verschiedener Sorten/Fettgehalte" }, "en": { "category": "Kitchen & everyday life", "title": "Ice-cream melting rate: mass loss and surface temperature across different formulations" } }, { "no": 74, "source_index": 356, "id": "topic-356-compost-mass-loss-and-core-temperature-over-four-weeks", "category_key": "environment", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 2, 3, 6 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umwelt", "title": "Kompost: Masseverlust und Kerntemperatur über 4 Wochen" }, "en": { "category": "Environment", "title": "Compost: mass loss and core temperature over four weeks" } }, { "no": 75, "source_index": 366, "id": "topic-366-sweat-related-body-mass-change-during-exercise-under-different-ambient", "category_key": "physiology", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 2, 3, 13, 19 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Physiologie", "title": "Masse Schweißverlust während 30 Minuten Sport bei verschiedenen Temperaturen" }, "en": { "category": "Physiology", "title": "Sweat-related body-mass change during exercise under different ambient conditions" } }, { "no": 76, "source_index": 371, "id": "topic-371-moisture-absorption-by-three-dimensional-printing-filaments", "category_key": "materials", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 6, 13, 18 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Materialien", "title": "Masseänderung von 3D-Druck-Filamenten beim Absorieren von Feuchtigkeit" }, "en": { "category": "Materials", "title": "Moisture absorption by three-dimensional printing filaments" } }, { "no": 77, "source_index": 3, "id": "topic-003-rsa-encryption-and-prime-number-theory", "category_key": "algebra-number-theory", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Algebra & Zahlentheorie", "title": "RSA-Verschlüsselung und Primzahltheorie" }, "en": { "category": "Algebra & number theory", "title": "RSA encryption and prime number theory" } }, { "no": 78, "source_index": 23, "id": "topic-023-calculating-work-done-by-a-variable-force-in-sport", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Analysis & Calculus", "title": "Berechnung der Arbeit einer variablen Kraft im Sport" }, "en": { "category": "Analysis & calculus", "title": "Calculating work done by a variable force in sport" } }, { "no": 79, "source_index": 44, "id": "topic-044-regression-carbon-dioxide-emissions-and-global-temperatures", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 9 ], "measurement_codes": [ 3, 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Regression: CO2-Emissionen und globale Temperaturen" }, "en": { "category": "Statistics & probability", "title": "Regression: carbon dioxide emissions and global temperatures" } }, { "no": 80, "source_index": 65, "id": "topic-065-the-trajectory-of-a-basketball-or-tennis-shot", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], 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"financial-mathematics", "assessment_code": 1, "course_code": 4, "courses": [ "ai" ], "levels": [ "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL", "de": { "category": "Finanzmathematik", "title": "Wahre Kosten von Mindestzahlungen bei Kreditkarten" }, "en": { "category": "Financial mathematics", "title": "The true cost of minimum credit-card payments" } }, { "no": 83, "source_index": 121, "id": "topic-121-cantor-s-infinities-countability-and-the-diagonal-argument", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Cantors Unendlichkeiten: Abzählbarkeit, Diagonalargument" }, "en": { "category": "Logic, set theory & proof", "title": "Cantor's infinities: countability and the diagonal argument" } }, { "no": 84, "source_index": 136, "id": "topic-136-huffman-coding-and-data-compression", "category_key": "discrete-mathematics-computer-science", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 7 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Untersuchung von Huffman-Codierung und Datenkompression" }, "en": { "category": "Discrete mathematics & computer science", "title": "Huffman coding and data compression" } }, { "no": 85, "source_index": 146, "id": "topic-146-room-acoustics-and-reverberation-time", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Untersuchung der Akustik eines Raumes (Nachhallzeit)" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Room acoustics and reverberation time" } }, { "no": 86, "source_index": 161, "id": "topic-161-the-mathematics-of-auction-systems-english-versus-dutch-auctions", "category_key": "game-theory-decision-making", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 7, 8 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Spieltheorie & Entscheidungsfindung", "title": "Die Mathematik von Auktionssystemen (englisch vs. holändisch)" }, "en": { "category": "Game theory & decision-making", "title": "The mathematics of auction systems: English versus Dutch auctions" } }, { "no": 87, "source_index": 169, "id": "topic-169-heart-rate-variability-analysed-with-statistical-methods", "category_key": "biomathematics-medicine", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 8, 19 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Biomathematik & Medizin", "title": "Untersuchung der Herzratenvariabilität mit statistischen Methoden" }, "en": { "category": "Biomathematics & medicine", "title": "Heart-rate variability analysed with statistical methods" } }, { "no": 88, "source_index": 190, "id": "topic-190-optimising-swimming-technique-through-drag-models", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 6, 13 ], "safety_code": 1, "source_course_label": "AA & AI, HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Berechnung des optimalen Schwimmstils durch Strömungswiderstand" }, "en": { "category": "Sports biomechanics & movement", "title": "Optimising swimming technique through drag models" } }, { "no": 89, "source_index": 200, "id": "topic-200-testing-the-predictive-accuracy-of-weather-apps-with-regression", "category_key": "data-science-introductory-algorithms", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Datenwissenschaft & Einfache Algorithmen", "title": "Untersuchung der Vorhersagegüte von Wetter-Apps durch Regression" }, "en": { "category": "Data science & introductory algorithms", "title": "Testing the predictive accuracy of weather apps with regression" } }, { "no": 90, "source_index": 210, "id": "topic-210-julia-sets-and-their-dependence-on-parameters", "category_key": "chaos-dynamical-systems", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Chaos & Dynamische Systeme", "title": "Untersuchung der Julia-Mengen und ihrer Parameterabhängigkeit" }, "en": { "category": "Chaos & dynamical systems", "title": "Julia sets and their dependence on parameters" } }, { "no": 91, "source_index": 217, "id": "topic-217-mathematical-analysis-of-rhythm-patterns-across-music-genres", "category_key": "music-acoustics-waves", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Musik, Akustik & Wellen", "title": "Mathematische Analyse von Rhythmusmustern in verschiedenen Musikgenres" }, "en": { "category": "Music, acoustics & waves", "title": "Mathematical analysis of rhythm patterns across music genres" } }, { "no": 92, "source_index": 226, "id": "topic-226-curves-in-typeface-design-b-zier-curves", "category_key": "art-design-architecture", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kunst, Design & Architektur", "title": "Untersuchung der Kurven in der Schriftgestaltung (Bézier-Kurven)" }, "en": { "category": "Art, design & architecture", "title": "Curves in typeface design: Bézier curves" } }, { "no": 93, "source_index": 235, "id": "topic-235-calculating-stellar-distances-by-parallax", "category_key": "astronomy-spaceflight", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 1, 13, 17 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Astronomie & Raumfahrt", "title": "Berechnung der Entfernung zu Sternen durch Parallaxenmessung" }, "en": { "category": "Astronomy & spaceflight", "title": "Calculating stellar distances by parallax" } }, { "no": 94, "source_index": 243, "id": "topic-243-optimising-break-intervals-in-study-sessions-with-a-pomodoro-model", "category_key": "psychology-cognition", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Psychologie & Kognition", "title": "Berechnung der optimalen Pausenverteilung beim Lernen (Pomodoro-Modell)" }, "en": { "category": "Psychology & cognition", "title": "Optimising break intervals in study sessions with a Pomodoro model" } }, { "no": 95, "source_index": 251, "id": "topic-251-calculating-optimal-diversification-in-an-investment-portfolio", "category_key": "probability-risk", "assessment_code": 3, "course_code": 5, "courses": [ "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, HL", "de": { "category": "Wahrscheinlichkeit & Risiko", "title": "Berechnung der optimalen Diversifikation eines Aktienportfolios" }, "en": { "category": "Probability & risk", "title": "Calculating optimal diversification in an investment portfolio" } }, { "no": 96, "source_index": 259, "id": "topic-259-calculating-optimal-lasagne-layering-with-heat-conduction-models", "category_key": "culinary-mathematics", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 3, 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kulinarische Mathematik", "title": "Berechnung der optimalen Schichtung von Lasagne (Wärmeleitung)" }, "en": { "category": "Culinary mathematics", "title": "Calculating optimal lasagne layering with heat-conduction models" } }, { "no": 97, "source_index": 267, "id": "topic-267-heat-distribution-across-a-laptop-under-cpu-load", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 10 ], "measurement_codes": [ 4, 3, 7 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Wärmeverteilung auf einem Laptop unter CPU-Last (Tastatur, Unterseite, Lüfterauslass)" }, "en": { "category": "Thermodynamics", "title": "Heat distribution across a laptop under CPU load" } }, { "no": 98, "source_index": 287, "id": "topic-287-carbon-dioxide-loss-from-fizzy-drinks-over-48-hours-under-different-st", "category_key": "material-properties", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 6 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "CO₂-Verlust kohlensäurehaltiger Getränke über 48 Stunden (offen vs. verschlossen vs. Kühlschrank)" }, "en": { "category": "Material properties", "title": "Carbon dioxide loss from fizzy drinks over 48 hours under different storage conditions" } }, { "no": 99, "source_index": 307, "id": "topic-307-voltage-drop-along-copper-cables-of-different-lengths-and-cross-sectio", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 5, 13 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Spannungsabfall über Kupferkabel verschiedener Länge (10 – 200 cm) und Querschnitte" }, "en": { "category": "Electricity", "title": "Voltage drop along copper cables of different lengths and cross-sections" } }, { "no": 100, "source_index": 327, "id": "topic-327-solar-cell-voltage-loss-as-temperature-increases", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 4, 5, 1, 3 ], "safety_code": 1, "source_course_label": "AA & AI, HL", "de": { "category": "Kombinierte Experimente", "title": "Solarzellen: Spannungsabfall bei zunehmender Temperatur (Erwärmung durch Lampe)" }, "en": { "category": "Combined experiments", "title": "Solar-cell voltage loss as temperature increases" } }, { "no": 101, "source_index": 347, "id": "topic-347-bread-baking-water-loss-and-core-temperature-over-time", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 2, 3 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Brotbacken: Masseänderung (Wasserverlust) und Kerntemperatur während des Backens" }, "en": { "category": "Kitchen & everyday life", "title": "Bread baking: water loss and core temperature over time" } }, { "no": 102, "source_index": 357, "id": "topic-357-solar-cooker-water-temperature-and-evaporation-mass-at-different-angle", "category_key": "environment", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 2, 3, 1, 10 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Umwelt", "title": "Solar-Kocher: Wassertemperatur und Masse Verdunstung bei verschiedenen Winkeln" }, "en": { "category": "Environment", "title": "Solar cooker: water temperature and evaporation mass at different angles" } }, { "no": 103, "source_index": 367, "id": "topic-367-hand-surface-temperature-before-and-after-a-low-risk-cognitive-task", "category_key": "physiology", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4 ], "measurement_codes": [ 4, 3, 19 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Physiologie", "title": "Wärmebild von Händen vor und nach Stressaufgabe (Mathe-Rätsel, Präsentation)" }, "en": { "category": "Physiology", "title": "Hand-surface temperature before and after a low-risk cognitive task" } }, { "no": 104, "source_index": 372, "id": "topic-372-thermal-response-of-granite-wood-and-stainless-steel-worktops", "category_key": "materials", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 3, 4, 1 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Materialien", "title": "Temperaturleitfähigkeit verschiedener Küchenarbeitsplatten (Granit, Holz, Edelstahl)" }, "en": { "category": "Materials", "title": "Thermal response of granite, wood and stainless-steel worktops" } }, { "no": 105, "source_index": 4, "id": "topic-004-pascal-s-triangle-patterns-binomial-coefficients-and-combinatorics", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Pascals Dreieck: Muster, Binomialkoeffizienten, Kombinatorik" }, "en": { "category": "Algebra & number theory", "title": "Pascal's triangle: patterns, binomial coefficients and combinatorics" } }, { "no": 106, "source_index": 24, "id": "topic-024-convergence-of-series-the-harmonic-series-basel-problem-and-geometric-", "category_key": "analysis-calculus", 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Monty Hall problem: simulation versus theory" } }, { "no": 108, "source_index": 66, "id": "topic-066-logistic-growth-in-social-media-followers-and-viral-trends", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Logistisches Wachstum: Social-Media-Follower, virale Trends" }, "en": { "category": "Mathematical modelling", "title": "Logistic growth in social-media followers and viral trends" } }, { "no": 109, "source_index": 86, "id": "topic-086-platonic-solids-euler-s-formula-and-why-there-are-exactly-five", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 2 ], "measurement_codes": [ 20 ], "safety_code": 0, 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"title": "Modelling networks with adjacency matrices" } }, { "no": 113, "source_index": 147, "id": "topic-147-modelling-an-optimal-running-pace", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Modellierung der optimalen Laufgeschwindigkeit" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Modelling an optimal running pace" } }, { "no": 114, "source_index": 162, "id": "topic-162-the-prisoner-s-dilemma-in-repeated-games", "category_key": "game-theory-decision-making", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, 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"en": { "category": "Art, design & architecture", "title": "Calculating optimal stage lighting through angle analysis" } }, { "no": 121, "source_index": 236, "id": "topic-236-modelling-a-rocket-trajectory-with-air-resistance", "category_key": "astronomy-spaceflight", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7, 11 ], "measurement_codes": [ 13 ], "safety_code": 1, "source_course_label": "AA HL", "de": { "category": "Astronomie & Raumfahrt", "title": "Modellierung der Raketenbahn unter Berücksichtigung von Luftwiderstand" }, "en": { "category": "Astronomy & spaceflight", "title": "Modelling a rocket trajectory with air resistance" } }, { "no": 122, "source_index": 244, "id": "topic-244-the-stroop-effect-analysed-with-statistical-hypothesis-tests", "category_key": "psychology-cognition", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4 ], 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"Thermodynamik", "title": "Temperaturgradienten in einem Klassenzimmer: Boden – Tischhöhe – Decke über einen Tag" }, "en": { "category": "Thermodynamics", "title": "Temperature gradients in a classroom from floor to desk height and ceiling over a day" } }, { "no": 126, "source_index": 288, "id": "topic-288-absorption-rates-of-toilet-paper-kitchen-roll-and-newspaper", "category_key": "material-properties", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 2, 6 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Absorptionsrate verschiedener Papiersorten (Toilettenpapier, Küchenrolle, Zeitung)" }, "en": { "category": "Material properties", "title": "Absorption rates of toilet paper, kitchen roll and newspaper" } }, { "no": 127, "source_index": 308, "id": "topic-308-charging-and-discharging-capacitors-of-different-capacitances", "category_key": "electricity", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 5 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Elektrizität", "title": "Lade- und Entladekurve von Kondensatoren verschiedener Kapazität (100µF – 1000µF)" }, "en": { "category": "Electricity", "title": "Charging and discharging capacitors of different capacitances" } }, { "no": 128, "source_index": 328, "id": "topic-328-evaporation-mass-loss-versus-surface-temperature-in-wind-sun-and-shade", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 4, 1, 3 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Verdunstung: Masseverlust vs. Oberflächentemperatur (Wind, Sonne, Schatten)" }, "en": { "category": "Combined experiments", "title": "Evaporation: mass loss versus surface temperature in wind, sun and shade" } }, { "no": 129, "source_index": 348, "id": "topic-348-yoghurt-fermentation-temperature-profile-and-mass-change", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 2, 3, 16 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Joghurt-Gärung: Masse konstant? Temperaturverlauf im Joghurtbereiter" }, "en": { "category": "Kitchen & everyday life", "title": "Yoghurt fermentation: temperature profile and mass change" } }, { "no": 130, "source_index": 358, "id": "topic-358-heat-loss-from-buildings-using-facade-surface-temperature-measurements", "category_key": "environment", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 2, 6 ], "measurement_codes": [ 4, 1, 3 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umwelt", "title": "Wärmeverlust von Häusern: IR-Oberflächentemperatur verschiedener Fassadenmaterialien" }, "en": { "category": "Environment", "title": "Heat loss from buildings using facade surface-temperature measurements" } }, { "no": 131, "source_index": 368, "id": "topic-368-reaction-time-and-naturally-observed-body-temperature-variation", "category_key": "physiology", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": 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} }, { "no": 133, "source_index": 5, "id": "topic-005-fibonacci-numbers-and-the-limiting-ratio-of-consecutive-terms", "category_key": "algebra-number-theory", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Fibonacci-Zahlen und der Grenzwert aufeinanderfolgender Terme" }, "en": { "category": "Algebra & number theory", "title": "Fibonacci numbers and the limiting ratio of consecutive terms" } }, { "no": 134, "source_index": 25, "id": "topic-025-the-mathematics-of-rainbow-formation-snell-s-law-refraction-and-optimi", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 6, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Analysis & Calculus", "title": "Mathematik der Regenbogenbildung: Snellius, Brechung, Optimierung" }, "en": { "category": "Analysis & calculus", "title": "The mathematics of rainbow formation: Snell's law, refraction and optimisation" } }, { "no": 135, "source_index": 46, "id": "topic-046-statistical-bias-in-media-reporting", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 9, 12 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Statistische Verzerrung in Medienberichterstattung" }, "en": { "category": "Statistics & probability", "title": "Statistical bias in media reporting" } }, { "no": 136, "source_index": 67, "id": "topic-067-traffic-flow-at-roundabouts-or-traffic-lights", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], 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"id": "topic-106-an-introduction-to-the-black-scholes-model-for-option-pricing", "category_key": "financial-mathematics", "assessment_code": 2, "course_code": 5, "courses": [ "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI HL", "de": { "category": "Finanzmathematik", "title": "Black-Scholes-Modell für Optionspreise (einführend)" }, "en": { "category": "Financial mathematics", "title": "An introduction to the Black-Scholes model for option pricing" } }, { "no": 139, "source_index": 123, "id": "topic-123-truth-tables-and-their-minimisation", "category_key": "logic-set-theory-proof", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 2, 7 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Untersuchung von Wahrheitstabellen und deren Minimierung" }, "en": { "category": "Logic, set theory & proof", "title": "Truth tables and their minimisation" } }, { "no": 140, "source_index": 138, "id": "topic-138-heuristics-for-the-travelling-salesperson-problem", "category_key": "discrete-mathematics-computer-science", "assessment_code": 2, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 8 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Untersuchung der Traveling-Salesman-Problem-Heuristiken" }, "en": { "category": "Discrete mathematics & computer science", "title": "Heuristics for the travelling salesperson problem" } }, { "no": 141, "source_index": 148, "id": "topic-148-analysing-the-efficiency-of-water-pumps", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 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"id": "topic-171-mathematical-analysis-of-mosquito-population-spread", "category_key": "biomathematics-medicine", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 12 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Biomathematik & Medizin", "title": "Mathematische Analyse der Ausbreitung von Mückenpopulationen" }, "en": { "category": "Biomathematics & medicine", "title": "Mathematical analysis of mosquito-population spread" } }, { "no": 144, "source_index": 181, "id": "topic-181-calculating-optimal-home-insulation-using-heat-conduction", "category_key": "environmental-mathematics-sustainability", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 3, 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Berechnung der optimalen Dämmung für ein Haus (Wärmeleitung)" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Calculating optimal home insulation using heat conduction" } }, { "no": 145, "source_index": 191, "id": "topic-191-optimising-launch-angles-in-archery", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 1 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Untersuchung der Winkeloptimierung beim Bogenschießen" }, "en": { "category": "Sports biomechanics & movement", "title": "Optimising launch angles in archery" } }, { "no": 146, "source_index": 212, "id": "topic-212-modelling-population-fluctuations-with-discrete-dynamical-systems", "category_key": "chaos-dynamical-systems", "assessment_code": 1, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Chaos & Dynamische Systeme", "title": "Modellierung von Populationsschwankungen mit diskreten dynamischen Systemen" }, "en": { "category": "Chaos & dynamical systems", "title": "Modelling population fluctuations with discrete dynamical systems" } }, { "no": 147, "source_index": 219, "id": "topic-219-sound-propagation-through-different-materials", "category_key": "music-acoustics-waves", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Musik, Akustik & Wellen", "title": "Untersuchung der Ausbreitung von Schall in verschiedenen Materialien" }, "en": { "category": "Music, acoustics & waves", "title": "Sound propagation through different materials" } }, { "no": 148, "source_index": 228, "id": "topic-228-modelling-wave-patterns-in-textile-design", "category_key": "art-design-architecture", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Kunst, Design & Architektur", "title": "Modellierung von Wellenmustern in der Textilgestaltung" }, "en": { "category": "Art, design & architecture", "title": "Modelling wave patterns in textile design" } }, { "no": 149, "source_index": 237, "id": "topic-237-mathematical-patterns-in-planetary-resonances", "category_key": "astronomy-spaceflight", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 9 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": 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"ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Wahrscheinlichkeit & Risiko", "title": "Untersuchung der Wahrscheinlichkeit von Naturkatastrophen an einem Ort" }, "en": { "category": "Probability & risk", "title": "The probability of natural disasters at a particular location" } }, { "no": 152, "source_index": 261, "id": "topic-261-modelling-fermentation-in-bread-and-yoghurt-with-exponential-growth", "category_key": "culinary-mathematics", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Kulinarische Mathematik", "title": "Modellierung des Gärvorgangs bei Brot und Joghurt (exponentielles Wachstum)" }, "en": { "category": "Culinary mathematics", "title": "Modelling fermentation in bread and yoghurt with exponential growth" } }, { "no": 153, "source_index": 269, "id": "topic-269-cooling-curves-of-aluminium-copper-and-iron-from-the-same-starting-tem", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 3 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Thermodynamik", "title": "Abkühlkurven verschiedener Metalle (Aluminium, Kupfer, Eisen) von gleicher Starttemperatur" }, "en": { "category": "Thermodynamics", "title": "Cooling curves of aluminium, copper and iron from the same starting temperature" } }, { "no": 154, "source_index": 289, "id": "topic-289-osmosis-mass-change-of-potato-slices-in-salt-solutions-from-0-to-20", "category_key": "material-properties", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], 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"id": "topic-329-freezing-point-depression-dissolved-salt-or-sugar-mass-versus-minimum-", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3, 13, 16 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Gefrierpunktserniedrigung: Masse Salz/Zucker vs. erreichte Minimaltemperatur" }, "en": { "category": "Combined experiments", "title": "Freezing-point depression: dissolved salt or sugar mass versus minimum temperature" } }, { "no": 157, "source_index": 349, "id": "topic-349-water-and-mass-loss-from-cheese-or-cured-food-during-refrigerated-stor", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 2, 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Wurst/Käse: Wasserverlust und Gewichtsverlust im Kühlschrank über eine Woche" }, "en": { "category": "Kitchen & everyday life", "title": "Water and mass loss from cheese or cured food during refrigerated storage" } }, { "no": 158, "source_index": 359, "id": "topic-359-algal-growth-biomass-and-aquarium-water-temperature-over-time", "category_key": "environment", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3, 6, 13 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Umwelt", "title": "Algenwachstum: Biomasse (Masse) und Wassertemperatur im Aquarium über Zeit" }, "en": { "category": "Environment", "title": "Algal growth: biomass and aquarium-water temperature over time" } }, { "no": 159, "source_index": 6, "id": "topic-006-number-systems-and-modular-arithmetic-in-computer-science", "category_key": "algebra-number-theory", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 7 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Zahlensysteme und modulare Arithmetik in der Informatik" }, "en": { "category": "Algebra & number theory", "title": "Number systems and modular arithmetic in computer science" } }, { "no": 160, "source_index": 26, "id": "topic-026-modelling-roller-coaster-curves-with-cubic-and-quintic-functions", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Achterbahnkurven modellieren mit kubischen/quintischen Funktionen" }, "en": { "category": "Analysis & calculus", "title": "Modelling roller-coaster curves with cubic and quintic functions" } }, { "no": 161, "source_index": 47, "id": "topic-047-correlation-between-study-time-and-predicted-ib-grades", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 4, "courses": [ "ai" ], "levels": [ "sl" ], "personal_engagement_codes": [ 1, 10 ], "measurement_codes": [ 14 ], "safety_code": 3, "source_course_label": "AI, SL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Korrelation: Lernstunden und vorhergesagte IB-Noten" }, "en": { "category": "Statistics & probability", "title": "Correlation between study time and predicted IB grades" } }, { "no": 162, "source_index": 68, "id": "topic-068-the-mathematics-of-music-frequency-ratios-and-overtones", "category_key": "mathematical-modelling", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Mathematik der Musik: Frequenzverhältnisse, Obertöne" }, "en": { "category": "Mathematical modelling", "title": "The mathematics of music: frequency ratios and overtones" } }, { "no": 163, "source_index": 88, "id": "topic-088-non-euclidean-geometry-angle-sums-on-a-sphere-and-a-hyperbolic-surface", "category_key": "geometry-topology", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 1 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Geometrie & Topologie", "title": "Nicht-euklidische Geometrie: Winkelsumme auf Kugel/Hyperboloid" }, "en": { "category": "Geometry & topology", "title": "Non-Euclidean geometry: angle sums on a sphere and a hyperbolic surface" } }, { "no": 164, "source_index": 107, "id": "topic-107-returns-across-different-types-of-investment", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 9 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Untersuchung der Rendite verschiedener Anlageformen" }, "en": { "category": "Financial mathematics", "title": "Returns across different types of investment" } }, { "no": 165, "source_index": 124, "id": "topic-124-different-proofs-that-there-are-infinitely-many-primes", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Beweis der Unendlichkeit der Primzahlen (verschiedene Beweise)" }, "en": { "category": "Logic, set theory & proof", "title": "Different proofs that there are infinitely many primes" } }, { "no": 166, "source_index": 139, "id": "topic-139-hash-functions-and-collisions", "category_key": "discrete-mathematics-computer-science", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Analyse von Hash-Funktionen und Kollisionen" }, "en": { "category": "Discrete mathematics & computer science", "title": "Hash functions and collisions" } }, { "no": 167, "source_index": 149, "id": "topic-149-the-mathematics-of-photography-exposure-and-aperture", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 8 ], "measurement_codes": [ 7, 10 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Untersuchung der Mathematik hinter Fotografie (Belichtung, Blende)" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "The mathematics of photography: exposure and aperture" } }, { "no": 168, "source_index": 164, "id": "topic-164-the-mathematics-behind-bidding-strategies-in-the-price-is-right", "category_key": "game-theory-decision-making", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 7, 8 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Spieltheorie & Entscheidungsfindung", "title": "Die Mathematik hinter „Price is Right“-Bietstrategien" }, "en": { "category": "Game theory & decision-making", "title": "The mathematics behind bidding strategies in The Price Is Right" } }, { "no": 169, "source_index": 172, "id": "topic-172-bmi-and-its-statistical-validity-across-different-populations", "category_key": "biomathematics-medicine", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 12 ], "measurement_codes": [ 13, 14 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Biomathematik & Medizin", "title": "Berechnung des BMI und dessen statistische Aussagekraft in verschiedenen Populationen" }, "en": { "category": "Biomathematics & medicine", "title": "BMI and its statistical validity across different populations" } }, { "no": 170, "source_index": 182, "id": "topic-182-correlation-between-air-quality-and-asthma-incidence", "category_key": "environmental-mathematics-sustainability", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6, 9, 10 ], "measurement_codes": [ 12 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Untersuchung der Korrelation zwischen Luftqualität und Asthmafällen" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Correlation between air quality and asthma incidence" } }, { "no": 171, "source_index": 192, "id": "topic-192-mathematical-analysis-of-the-magnus-effect-in-a-football-free-kick", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 7 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Mathematische Analyse des Magnus-Effekts beim Fußball-Freistoß" }, "en": { "category": "Sports biomechanics & movement", "title": "Mathematical analysis of the Magnus effect in a football free kick" } }, { "no": 172, "source_index": 202, "id": "topic-202-modelling-netflix-style-recommendations-with-simple-distance-measures", "category_key": "data-science-introductory-algorithms", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 8 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Datenwissenschaft & Einfache Algorithmen", "title": "Modellierung von Netflix-Empfehlungen durch einfache Distanzmaße" }, "en": { "category": "Data science & introductory algorithms", "title": "Modelling Netflix-style recommendations with simple distance measures" } }, { "no": 173, "source_index": 220, "id": "topic-220-modelling-vibrato-frequency-and-its-perception", "category_key": "music-acoustics-waves", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11, 12 ], "measurement_codes": [ 9, 13, 14 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Musik, Akustik & Wellen", "title": "Modellierung der Vibrato-Frequenz und ihrer Wahrnehmung" }, "en": { "category": "Music, acoustics & waves", "title": "Modelling vibrato frequency and its perception" } }, { "no": 174, "source_index": 229, "id": "topic-229-analysing-proportions-in-fashion-clothing-sizes-and-golden-ratio-claim", "category_key": "art-design-architecture", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8, 9 ], "measurement_codes": [ 1 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Kunst, Design & Architektur", "title": "Analyse der Proportionen in der Modewelt (Kleidergrößen, Golden Ratio)" }, "en": { "category": "Art, design & architecture", "title": "Analysing proportions in fashion: clothing sizes and golden-ratio claims" } }, { "no": 175, "source_index": 238, "id": "topic-238-calculating-optimal-launch-windows-with-hohmann-transfers", "category_key": "astronomy-spaceflight", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Astronomie & Raumfahrt", "title": "Berechnung der optimalen Startfenster für Raumfahrtmissionen (Hohmann-Transfer)" }, "en": { "category": "Astronomy & spaceflight", "title": "Calculating optimal launch windows with Hohmann transfers" } }, { "no": 176, "source_index": 246, "id": "topic-246-correlation-between-music-genre-and-mathematical-performance", "category_key": "psychology-cognition", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 8 ], "measurement_codes": [ 9, 14 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Psychologie & Kognition", "title": "Analyse der Korrelation zwischen Musikgenre und mathematischer Leistung" }, "en": { "category": "Psychology & cognition", "title": "Correlation between music genre and mathematical performance" } }, { "no": 177, "source_index": 254, "id": "topic-254-modelling-cafeteria-queues-with-a-poisson-process", "category_key": "probability-risk", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Wahrscheinlichkeit & Risiko", "title": "Modellierung der Warteschlangen an der Cafeteria durch Poisson-Verteilung" }, "en": { "category": "Probability & risk", "title": "Modelling cafeteria queues with a Poisson process" } }, { "no": 178, "source_index": 262, "id": "topic-262-calculating-an-optimal-chocolate-melting-temperature", "category_key": "culinary-mathematics", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 3, 13 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Kulinarische Mathematik", "title": "Berechnung der optimalen Schokoladen-Schmelztemperatur" }, "en": { "category": "Culinary mathematics", "title": "Calculating an optimal chocolate-melting temperature" } }, { "no": 179, "source_index": 270, "id": "topic-270-heat-storage-in-sand-clay-and-humus-under-equal-energy-input", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 3, 4, 1 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Wärmespeicherung von Bodenproben (Sand, Lehm, Humus) bei gleicher Energiezufuhr" }, "en": { "category": "Thermodynamics", "title": "Heat storage in sand, clay and humus under equal energy input" } }, { "no": 180, "source_index": 290, "id": "topic-290-corrosion-of-iron-nails-in-water-salt-water-cola-and-vinegar", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 2, 6, 13 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Korrosion von Eisennägeln in verschiedenen Medien (Wasser, Salzwasser, Cola, Essig)" }, "en": { "category": "Material properties", "title": "Corrosion of iron nails in water, salt water, cola and vinegar" } }, { "no": 181, "source_index": 310, "id": "topic-310-voltage-from-homemade-galvanic-cells-using-lemons-potatoes-cola-and-ap", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 5 ], "safety_code": 2, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Spannung selbstgebauter galvanischer Zellen: Zitrone, Kartoffel, Cola, Apfel" }, "en": { "category": "Electricity", "title": "Voltage from homemade galvanic cells using lemons, potatoes, cola and apples" } }, { "no": 182, "source_index": 330, "id": "topic-330-conductivity-versus-salt-concentration-in-aqueous-solutions", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 5, 11, 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Leitfähigkeit vs. Salzkonzentration: Masse NaCl aufgelöst, Spannung gemessen" }, "en": { "category": "Combined experiments", "title": "Conductivity versus salt concentration in aqueous solutions" } }, { "no": 183, "source_index": 350, "id": "topic-350-packaging-fruit-mass-loss-under-cling-film-vacuum-storage-and-wax-wrap", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 12 ], "measurement_codes": [ 2, 6 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Verpackungstest: Masseverlust von Obst in Frischhaltefolie vs. Vakuum vs. Wachstuch" }, "en": { "category": "Kitchen & everyday life", "title": "Packaging fruit: mass loss under cling film, vacuum storage and wax wrap" } }, { "no": 184, "source_index": 360, "id": "topic-360-paving-stones-versus-grass-daytime-surface-temperature-and-night-time-", "category_key": "environment", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 3, 4, 1, 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umwelt", "title": "Pflastersteine vs. Rasen: Oberflächentemperatur am Tag (IR) und Abkühlung nachts (Kontakt)" }, "en": { "category": "Environment", "title": "Paving stones versus grass: daytime surface temperature and night-time cooling" } }, { "no": 185, "source_index": 7, "id": "topic-007-magic-squares-algebraic-construction-methods", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Magische Quadrate: Algebraische Konstruktionsmethoden" }, "en": { "category": "Algebra & number theory", "title": "Magic squares: algebraic construction methods" } }, { "no": 186, "source_index": 27, "id": "topic-027-riemann-sums-and-numerical-integration", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 2, 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"topic-069-modelling-the-spread-of-rumours-in-a-school-community", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Mathematische Modellierung", "title": "Verbreitung von Gerüchten in der Schulgemeinschaft" }, "en": { "category": "Mathematical modelling", "title": "Modelling the spread of rumours in a school community" } }, { "no": 189, "source_index": 89, "id": "topic-089-the-golden-spiral-in-selected-natural-forms", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 6 ], "measurement_codes": [ 7 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung der Goldenen Spirale in der Natur" }, "en": { "category": "Geometry & topology", "title": "The golden spiral in selected natural forms" } }, { "no": 190, "source_index": 108, "id": "topic-108-calculating-the-effective-annual-percentage-rate-on-consumer-loans", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 4, "courses": [ "ai" ], "levels": [ "sl" ], "personal_engagement_codes": [ 5 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL", "de": { "category": "Finanzmathematik", "title": "Berechnung des effektiven Jahreszinses bei Konsumkrediten" }, "en": { "category": "Financial mathematics", "title": "Calculating the effective annual percentage rate on consumer loans" } }, { "no": 191, "source_index": 125, "id": "topic-125-paradoxes-in-set-theory", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Untersuchung von Paradoxa in der Mengenlehre" }, "en": { "category": "Logic, set theory & proof", "title": "Paradoxes in set theory" } }, { "no": 192, "source_index": 140, "id": "topic-140-binary-trees-and-their-properties", "category_key": "discrete-mathematics-computer-science", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Untersuchung von Binärbäumen und deren Eigenschaften" }, "en": { "category": "Discrete mathematics & computer science", "title": "Binary trees and their properties" } }, { "no": 193, "source_index": 150, "id": "topic-150-modelling-optimal-lighting-in-a-room", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 10, 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Modellierung der optimalen Beleuchtung in einem Raum" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Modelling optimal lighting in a room" } }, { "no": 194, "source_index": 165, "id": "topic-165-zero-sum-games-in-classic-board-games", "category_key": "game-theory-decision-making", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Spieltheorie & Entscheidungsfindung", "title": "Untersuchung von Zero-Sum-Games in klassischen Brettspielen" }, "en": { "category": "Game theory & decision-making", "title": "Zero-sum games in classic board games" } }, { "no": 195, "source_index": 173, "id": "topic-173-correlation-between-sleep-duration-and-cognitive-performance", "category_key": "biomathematics-medicine", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 10 ], "measurement_codes": [ 19 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Biomathematik & Medizin", "title": "Untersuchung der Korrelation zwischen Schlafdauer und kognitiver Leistung" }, "en": { "category": "Biomathematics & medicine", "title": "Correlation between sleep duration and cognitive performance" } }, { "no": 196, "source_index": 183, "id": "topic-183-modelling-plastic-degradation-in-oceans-with-exponential-decay", "category_key": "environmental-mathematics-sustainability", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6, 9, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Modellierung des Plastikabbaus in Ozeanen durch exponentielle Zerfallsmodelle" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Modelling plastic degradation in oceans with exponential decay" } }, { "no": 197, "source_index": 193, "id": "topic-193-modelling-an-optimal-stride-pattern-for-the-100-metre-sprint", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 8, 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Modellierung der optimalen Schrittfolge beim 100-Meter-Lauf" }, "en": { "category": "Sports biomechanics & movement", "title": "Modelling an optimal stride pattern for the 100-metre sprint" } }, { "no": 198, "source_index": 203, "id": "topic-203-cluster-formation-in-friendship-networks", "category_key": "data-science-introductory-algorithms", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4 ], "measurement_codes": [ 14 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Datenwissenschaft & Einfache Algorithmen", "title": "Untersuchung der Clusterbildung in Freundschaftsnetzwerken" }, "en": { "category": "Data science & introductory algorithms", "title": "Cluster formation in friendship networks" } }, { "no": 199, "source_index": 213, "id": "topic-213-arnold-tongues-in-the-circle-map", "category_key": "chaos-dynamical-systems", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 8, 10 ], "measurement_codes": [ 9, 14 ], "safety_code": 3, "source_course_label": "AA HL", "de": { "category": "Chaos & Dynamische Systeme", "title": "Untersuchung der Arnold-Zungen in der Kreisabbildung" }, "en": { "category": "Chaos & dynamical systems", "title": "Arnold tongues in the circle map" } }, { "no": 200, "source_index": 230, "id": "topic-230-the-mathematics-of-three-dimensional-printing-structures-and-infill-pa", "category_key": "art-design-architecture", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kunst, Design & Architektur", "title": "Untersuchung der Mathematik von 3D-Druck-Strukturen (Infill-Patterns)" }, "en": { "category": "Art, design & architecture", "title": "The mathematics of three-dimensional printing structures and infill patterns" } }, { "no": 201, "source_index": 239, "id": "topic-239-the-distribution-of-asteroids-in-the-solar-system", "category_key": "astronomy-spaceflight", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 17 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Astronomie & Raumfahrt", "title": "Untersuchung der Verteilung von Asteroiden im Sonnensystem" }, "en": { "category": "Astronomy & spaceflight", "title": "The distribution of asteroids in the Solar System" } }, { "no": 202, "source_index": 247, "id": "topic-247-calculating-an-optimal-group-size-for-effective-learning", "category_key": "psychology-cognition", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 11 ], "measurement_codes": [ 13 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Psychologie & Kognition", "title": "Berechnung der optimalen Gruppengröße für effektives Lernen" }, "en": { "category": "Psychology & cognition", "title": "Calculating an optimal group size for effective learning" } }, { "no": 203, "source_index": 255, "id": "topic-255-calculating-the-risk-of-base-rate-errors-in-everyday-decisions", "category_key": "probability-risk", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 13, 19 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Wahrscheinlichkeit & Risiko", "title": "Berechnung des Risikos von Häufigkeitsirrtümern im Alltag" }, "en": { "category": "Probability & risk", "title": "Calculating the risk of base-rate errors in everyday decisions" } }, { "no": 204, "source_index": 263, "id": "topic-263-the-mathematics-of-laminated-dough-folds", "category_key": "culinary-mathematics", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kulinarische Mathematik", "title": "Untersuchung der Mathematik von Teig-Faltungen (Laminierte Strukturen)" }, "en": { "category": "Culinary mathematics", "title": "The mathematics of laminated dough folds" } }, { "no": 205, "source_index": 271, "id": "topic-271-melting-rate-of-ice-shapes-volume-surface-area-and-form", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3, 1 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Thermodynamik", "title": "Kühlgeschwindigkeit von Eiswürfeln: Volumen, Oberfläche und Form (Würfel vs. Kugel vs. Scheibe)" }, "en": { "category": "Thermodynamics", "title": "Melting rate of ice shapes: volume, surface area and form" } }, { "no": 206, "source_index": 291, "id": "topic-291-fermentation-carbon-dioxide-loss-from-yeast-sugar-solutions-of-differe", "category_key": "material-properties", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 16 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Gärvorgang: CO₂-Verlust bei Hefe-Zucker-Lösungen verschiedener Konzentration" }, "en": { "category": "Material properties", "title": "Fermentation: carbon dioxide loss from yeast-sugar solutions of different concentrations" } }, { "no": 207, "source_index": 311, "id": "topic-311-photovoltaic-power-loss-under-partial-shading-in-series-and-parallel-c", "category_key": "electricity", "assessment_code": 1, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 5, 7, 10, 13 ], "safety_code": 1, "source_course_label": "AA & AI, HL", "de": { "category": "Elektrizität", "title": "Photovoltaik: Leistungsabfall bei Teilschattierung (Serien- vs. Parallelschaltung)" }, "en": { "category": "Electricity", "title": "Photovoltaic power loss under partial shading in series and parallel circuits" } }, { "no": 208, "source_index": 331, "id": "topic-331-heat-capacity-of-coins-made-from-different-alloys", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 3, 16 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Wärmekapazität von Münzen verschiedener Legierungen (Masse, ΔT in Wasserbad)" }, "en": { "category": "Combined experiments", "title": "Heat capacity of coins made from different alloys" } }, { "no": 209, "source_index": 351, "id": "topic-351-surface-temperature-patterns-after-different-forms-of-exercise", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": 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"topic-008-the-collatz-conjecture-convergence-behaviour-for-different-starting-va", "category_key": "algebra-number-theory", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 7, 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Collatz-Vermutung: Konvergenzverhalten für Startwerte" }, "en": { "category": "Algebra & number theory", "title": "The Collatz conjecture: convergence behaviour for different starting values" } }, { "no": 212, "source_index": 28, "id": "topic-028-parameter-changes-in-the-logistic-function", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 9, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Analysis & Calculus", "title": "Parameteränderungen in der logistischen Funktion" }, "en": { "category": "Analysis & calculus", "title": "Parameter changes in the logistic function" } }, { "no": 213, "source_index": 49, "id": "topic-049-bayes-theorem-and-the-reliability-of-medical-tests", "category_key": "statistics-probability", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10, 12 ], "measurement_codes": [ 0 ], "safety_code": 3, "source_course_label": "AA HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Bayes-Theorem: Zuverlässigkeit medizinischer Tests" }, "en": { "category": "Statistics & probability", "title": "Bayes' theorem and the reliability of medical tests" } }, { "no": 214, "source_index": 70, "id": "topic-070-modelling-the-spread-of-wildfires", "category_key": "mathematical-modelling", "assessment_code": 2, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 6, 7, 9 ], "measurement_codes": [ 13 ], 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logic" } }, { "no": 218, "source_index": 141, "id": "topic-141-modelling-game-strategies-with-game-trees", "category_key": "discrete-mathematics-computer-science", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Modellierung von Spielstrategien mit Spielbäumen" }, "en": { "category": "Discrete mathematics & computer science", "title": "Modelling game strategies with game trees" } }, { "no": 219, "source_index": 151, "id": "topic-151-the-mathematics-of-perfume-evaporation-and-diffusion", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 16 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Untersuchung der Mathematik von Parfüms (Verdunstung, Diffusion)" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "The mathematics of perfume: evaporation and diffusion" } }, { "no": 220, "source_index": 166, "id": "topic-166-modelling-negotiation-strategies-with-cooperative-game-theory", "category_key": "game-theory-decision-making", "assessment_code": 3, "course_code": 5, "courses": [ "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 8, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, HL", "de": { "category": "Spieltheorie & Entscheidungsfindung", "title": "Modellierung von Verhandlungsstrategien mit kooperativer Spieltheorie" }, "en": { "category": "Game theory & decision-making", "title": "Modelling negotiation strategies with cooperative game theory" } }, { "no": 221, "source_index": 174, "id": "topic-174-modelling-the-spread-of-antibiotic-resistance-in-bacterial-populations", "category_key": "biomathematics-medicine", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 7, 11 ], "measurement_codes": [ 13 ], "safety_code": 3, "source_course_label": "AA HL", "de": { "category": "Biomathematik & Medizin", "title": "Modellierung der Ausbreitung von Antibiotikaresistenzen in Bakterienpopulationen" }, "en": { "category": "Biomathematics & medicine", "title": "Modelling the spread of antibiotic resistance in bacterial populations" } }, { "no": 222, "source_index": 184, "id": "topic-184-optimising-solar-panel-orientation-for-maximum-energy-yield", "category_key": "environmental-mathematics-sustainability", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 11 ], "measurement_codes": [ 10 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Optimierung der Solarpanel-Ausrichtung für maximale Energiegewinnung" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Optimising solar-panel orientation for maximum energy yield" } }, { "no": 223, "source_index": 194, "id": "topic-194-calculating-stability-in-different-yoga-poses-using-centre-of-mass", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 3 ], "measurement_codes": [ 1, 7, 13, 15 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Berechnung der Stabilität bei verschiedenen Yoga-Posen (Schwerpunkt)" }, "en": { "category": "Sports biomechanics & movement", "title": "Calculating stability in different yoga poses using centre of mass" } }, { "no": 224, "source_index": 204, "id": "topic-204-time-series-analysis-forecasting-share-prices-with-moving-averages", "category_key": "data-science-introductory-algorithms", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Datenwissenschaft & Einfache Algorithmen", "title": "Analyse von Zeitreihen: Vorhersage von Aktienkursen mit gleitenden Durchschnitten" }, "en": { "category": "Data science & introductory algorithms", "title": "Time-series analysis: forecasting share prices with moving averages" } }, { "no": 225, "source_index": 221, "id": "topic-221-analysing-the-mathematical-structure-of-canons-and-fugues", "category_key": "music-acoustics-waves", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Musik, Akustik & Wellen", "title": "Analyse der mathematischen Struktur von Kanons und Fugen" }, "en": { "category": "Music, acoustics & waves", "title": "Analysing the mathematical structure of canons and fugues" } }, { "no": 226, "source_index": 272, "id": "topic-272-thermal-conductivity-of-metal-rods-measured-by-the-time-taken-for-wax-", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 3, 6, 13 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Thermodynamik", "title": "Wärmeleitfähigkeit von Metallstäben: Zeit bis Wachs an der entfernten Seite schmilzt" }, "en": { "category": "Thermodynamics", "title": "Thermal conductivity of metal rods measured by the time taken for wax to melt" } }, { "no": 227, "source_index": 292, "id": "topic-292-sublimation-of-dry-ice-mass-loss-over-time-at-constant-conditions", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3, 6, 21 ], "safety_code": 2, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Sublimation von Trockeneis: Masseverlust bei konstanter Temperatur über Zeit" }, "en": { "category": "Material properties", "title": "Sublimation of dry ice: mass loss over time at constant conditions" } }, { "no": 228, "source_index": 312, "id": "topic-312-thermoelectric-voltage-as-a-function-of-temperature-difference-using-a", "category_key": "electricity", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 3, 5, 13 ], "safety_code": 1, "source_course_label": "AA HL", "de": { "category": "Elektrizität", "title": "Thermoelektrischer Effekt: Spannung als Funktion der Temperaturdifferenz (Peltier-Element)" }, "en": { "category": "Electricity", "title": "Thermoelectric voltage as a function of temperature difference using a Peltier element" } }, { "no": 229, "source_index": 332, "id": "topic-332-thermocouple-voltage-as-a-function-of-hot-to-cold-water-bath-temperatu", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 3, 5, 13, 16 ], "safety_code": 1, "source_course_label": "AA HL", "de": { "category": "Kombinierte Experimente", "title": "Thermoelement: Spannung als Funktion der Temperaturdifferenz (heißes vs. kaltes Wasserbad)" }, "en": { "category": "Combined experiments", "title": "Thermocouple voltage as a function of hot-to-cold water-bath temperature difference" } }, { "no": 230, "source_index": 352, "id": "topic-352-hand-surface-temperature-recovery-after-a-safe-cold-water-exposure", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 4, 1, 3, 6 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Küche & Alltag", "title": "Wärmebild einer Hand nach Eisbad: Wiedererwärmung über Zeit mit IR-Thermometer" }, "en": { "category": "Kitchen & everyday life", "title": "Hand surface-temperature recovery after a safe cold-water exposure" } }, { "no": 231, "source_index": 362, "id": "topic-362-water-mass-loss-from-plastic-and-glass-containers-over-time", "category_key": "environment", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 16 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Umwelt", "title": "Plastikflaschen vs. Glas: Wasserverdunstung/Masseverlust durch das Material hindurch" }, "en": { "category": "Environment", "title": "Water mass loss from plastic and glass containers over time" } }, { "no": 232, "source_index": 9, "id": "topic-009-perfect-numbers-and-their-rarity", "category_key": "algebra-number-theory", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Untersuchung perfekter Zahlen und ihre Seltenheit" }, "en": { "category": "Algebra & number theory", "title": "Perfect numbers and their rarity" } }, { "no": 233, "source_index": 29, "id": "topic-029-optimising-the-flight-path-of-a-paper-aeroplane", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 1, 7 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Optimierung der Flugbahn eines Papierfliegers" }, "en": { "category": "Analysis & calculus", "title": "Optimising the flight path of a paper aeroplane" } }, { "no": 234, "source_index": 50, "id": "topic-050-grade-distributions-across-different-school-subjects", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Verteilung von Noten in verschiedenen Fächern" }, "en": { "category": "Statistics & probability", "title": "Grade distributions across different school subjects" } }, { "no": 235, "source_index": 71, "id": "topic-071-optimising-seating-arrangements-in-a-classroom", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 11 ], "measurement_codes": [ 14 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Optimierung der Sitzplatzverteilung in einem Klassenzimmer" }, "en": { "category": "Mathematical modelling", "title": "Optimising seating arrangements in a classroom" } }, { "no": 236, "source_index": 91, "id": "topic-091-symmetry-in-islamic-art", "category_key": "geometry-topology", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 8 ], "measurement_codes": [ 7 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung von Symmetrien in islamischer Kunst" }, "en": { "category": "Geometry & topology", "title": "Symmetry in Islamic art" } }, { "no": 237, "source_index": 110, "id": "topic-110-insurance-models-and-premium-calculations", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 5 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Untersuchung von Versicherungsmodellen und Prämienberechnung" }, "en": { "category": "Financial mathematics", "title": "Insurance models and premium calculations" } }, { "no": 238, "source_index": 127, "id": "topic-127-an-introduction-to-g-del-s-incompleteness-theorems", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Untersuchung der Gödelschen Unvollständigkeitssätze (einführend)" }, "en": { "category": "Logic, set theory & proof", "title": "An introduction to Gödel's incompleteness theorems" } }, { "no": 239, "source_index": 142, "id": "topic-142-error-detecting-codes-and-hamming-distance", "category_key": "discrete-mathematics-computer-science", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 3, 8 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Untersuchung von Fehlererkennenden Codes (Hamming-Distanz)" }, "en": { "category": "Discrete mathematics & computer science", "title": "Error-detecting codes and Hamming distance" } }, { "no": 240, "source_index": 152, "id": "topic-152-analysing-the-stability-of-towers-built-from-blocks", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 15, 20 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Analyse der Stabilität von Türmen aus Bauklötzen" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Analysing the stability of towers built from blocks" } }, { "no": 241, "source_index": 175, "id": "topic-175-the-geometry-and-optimisation-of-leaf-vein-networks", "category_key": "biomathematics-medicine", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Biomathematik & Medizin", "title": "Analyse der Geometrie von Blattadern und deren Optimierung" }, "en": { "category": "Biomathematics & medicine", "title": "The geometry and optimisation of leaf-vein networks" } }, { "no": 242, "source_index": 185, "id": "topic-185-mathematical-analysis-of-wind-energy-potential-at-a-location", "category_key": "environmental-mathematics-sustainability", "assessment_code": 3, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 12 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Mathematische Analyse von Windenergiepotenzial an einem Standort" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Mathematical analysis of wind-energy potential at a location" } }, { "no": 243, "source_index": 195, "id": "topic-195-mathematical-patterns-in-dance-choreography", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], 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value decomposition" } }, { "no": 245, "source_index": 222, "id": "topic-222-calculating-the-resonant-frequencies-of-glasses-in-a-glass-harmonica", "category_key": "music-acoustics-waves", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 9, 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Musik, Akustik & Wellen", "title": "Berechnung der Resonanzfrequenzen von Gläsern (Glasarmonika)" }, "en": { "category": "Music, acoustics & waves", "title": "Calculating the resonant frequencies of glasses in a glass harmonica" } }, { "no": 246, "source_index": 231, "id": "topic-231-calculating-tension-in-tent-structures-based-on-hyperbolic-paraboloids", "category_key": "art-design-architecture", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 5, 13, 20 ], "safety_code": 1, "source_course_label": "AA HL", "de": { "category": "Kunst, Design & Architektur", "title": "Berechnung der Spannung in Zeltkonstruktionen (Hyperbolische Paraboloide)" }, "en": { "category": "Art, design & architecture", "title": "Calculating tension in tent structures based on hyperbolic paraboloids" } }, { "no": 247, "source_index": 273, "id": "topic-273-temperature-change-while-baking-a-muffin-core-versus-surface-temperatu", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 3 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Temperaturverlauf beim Backen eines Muffins: Kerntemperatur vs. Außentemperatur" }, "en": { "category": "Thermodynamics", "title": "Temperature change while baking a muffin: core versus surface temperature" } }, { "no": 248, "source_index": 293, "id": "topic-293-hygroscopicity-of-salts-and-sugars-mass-gain-from-moisture-in-air", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 6, 13, 18 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Hygroskopizität verschiedener Salze und Zuckerarten: Massezunahme an Luft" }, "en": { "category": "Material properties", "title": "Hygroscopicity of salts and sugars: mass gain from moisture in air" } }, { "no": 249, "source_index": 313, "id": "topic-313-temperature-dependent-resistance-of-an-incandescent-lamp", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 3, 5 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Temperaturabhängiger Widerstand einer Glühlampe" }, "en": { "category": "Electricity", "title": "Temperature-dependent resistance of an incandescent lamp" } }, { "no": 250, "source_index": 333, "id": "topic-333-calorimetry-determining-the-specific-heat-capacity-of-a-metal", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 3, 16 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Kalorimetrie: Spezifische Wärmekapazität von Metall (Masse Metall, Masse Wasser, ΔT)" }, "en": { "category": "Combined experiments", "title": "Calorimetry: determining the specific heat capacity of a metal" } }, { "no": 251, "source_index": 353, "id": "topic-353-temperature-change-in-a-vacuum-flask-over-24-hours", "category_key": "kitchen-everyday-life", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 3, 6, 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Küche & Alltag", "title": "Temperaturverlauf in einer Thermoskanne über 24 Stunden" }, "en": { "category": "Kitchen & everyday life", "title": "Temperature change in a vacuum flask over 24 hours" } }, { "no": 252, "source_index": 363, "id": "topic-363-water-samples-dissolved-solid-mass-and-electrical-conductivity", "category_key": "environment", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 2, 5, 13 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Umwelt", "title": "Wasserverschmutzung: Masse gelöster Feststoffe und elektrische Leitfähigkeit (Spannung)" }, "en": { "category": "Environment", "title": "Water samples: dissolved-solid mass and electrical conductivity" } }, { "no": 253, "source_index": 10, "id": "topic-010-the-relationship-between-continued-fractions-and-irrational-numbers", "category_key": "algebra-number-theory", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Die Beziehung zwischen Kettenbrüchen und irrationalen Zahlen" }, "en": { "category": "Algebra & number theory", "title": "The relationship between continued fractions and irrational numbers" } }, { "no": 254, "source_index": 30, "id": "topic-030-speed-and-acceleration-while-cycling", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 8 ], "safety_code": 3, "source_course_label": "AA, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Untersuchung der Geschwindigkeit und Beschleunigung beim Fahrradfahren" }, "en": { "category": "Analysis & calculus", "title": "Speed and acceleration while cycling" } }, { "no": 255, "source_index": 51, "id": "topic-051-comparing-mean-median-and-mode-in-salary-data", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 9, 12 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Vergleich von Mittelwert, Median und Modus in Gehaltsdaten" }, "en": { "category": "Statistics & probability", "title": "Comparing mean, median and mode in salary data" } }, { "no": 256, "source_index": 72, "id": "topic-072-modelling-water-supply-in-a-city", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Modellierung der Wasserversorgung in einer Stadt" }, "en": { "category": "Mathematical modelling", "title": "Modelling water supply in a city" } }, { "no": 257, "source_index": 92, "id": "topic-092-modelling-shadows-cast-by-sundials", "category_key": "geometry-topology", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 3 ], "measurement_codes": [ 7, 10, 13, 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Modellierung von Schattenwurf bei Sonnenuhren" }, "en": { "category": "Geometry & topology", "title": "Modelling shadows cast by sundials" } }, { "no": 258, "source_index": 111, "id": "topic-111-comparing-vehicle-leasing-with-purchasing", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 12 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Vergleich von Leasing vs. Kauf bei Fahrzeugen" }, "en": { "category": "Financial mathematics", "title": "Comparing vehicle leasing with purchasing" } }, { "no": 259, "source_index": 128, "id": "topic-128-proof-methods-direct-proof-contraposition-and-contradiction", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Beweisverfahren: Direkter Beweis, Kontraposition, Widerspruch" }, "en": { "category": "Logic, set theory & proof", "title": "Proof methods: direct proof, contraposition and contradiction" } }, { "no": 260, "source_index": 143, "id": "topic-143-recurrence-relations-and-the-tower-of-hanoi", "category_key": "discrete-mathematics-computer-science", "assessment_code": 2, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 7 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Diskrete Mathematik & Informatik", "title": "Analyse von Rekursionsgleichungen (Türme von Hanoi)" }, "en": { "category": "Discrete mathematics & computer science", "title": "Recurrence relations and the Tower of Hanoi" } }, { "no": 261, "source_index": 153, "id": "topic-153-modelling-an-optimal-racket-length-in-sport", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Modellierung der optimalen Schlägerlänge im Sport" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Modelling an optimal racket length in sport" } }, { "no": 262, "source_index": 176, "id": "topic-176-mathematical-modelling-of-visual-acuity-and-corrective-lens-power", "category_key": "biomathematics-medicine", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13, 19 ], "safety_code": 3, "source_course_label": "AA, SL/HL", "de": { "category": "Biomathematik & Medizin", "title": "Mathematische Modellierung der Sehschärfe und Brillenstärkeberechnung" }, "en": { "category": "Biomathematics & medicine", "title": "Mathematical modelling of visual acuity and corrective-lens power" } }, { "no": 263, "source_index": 186, "id": "topic-186-calculating-carbon-dioxide-emissions-per-kilometre-for-different-forms", "category_key": "environmental-mathematics-sustainability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 8, 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Umweltmathematik & Nachhaltigkeit", "title": "Berechnung des CO₂-Ausstoßes verschiedener Verkehrsmittel pro km" }, "en": { "category": "Environmental mathematics & sustainability", "title": "Calculating carbon dioxide emissions per kilometre for different forms of transport" } }, { "no": 264, "source_index": 196, "id": "topic-196-analysing-the-optimal-riding-position-on-a-road-bicycle", "category_key": "sports-biomechanics-movement", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Sportbiomechanik & Bewegung", "title": "Analyse der optimalen Sitzposition auf einem Rennrad" }, "en": { "category": "Sports biomechanics & movement", "title": "Analysing the optimal riding position on a road bicycle" } }, { "no": 265, "source_index": 206, "id": "topic-206-password-strength-patterns-through-combinatorics", "category_key": "data-science-introductory-algorithms", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Datenwissenschaft & Einfache Algorithmen", "title": "Untersuchung der Muster in Passwortstärke durch Kombinatorik" }, "en": { "category": "Data science & introductory algorithms", "title": "Password-strength patterns through combinatorics" } }, { "no": 266, "source_index": 274, "id": "topic-274-heating-of-asphalt-grass-and-water-in-midday-sun", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 3, 4, 1 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Erwärmung von Asphalt, Rasen und Wasser in der Mittagssonne" }, "en": { "category": "Thermodynamics", "title": "Heating of asphalt, grass and water in midday sun" } }, { "no": 267, "source_index": 294, "id": "topic-294-burning-rates-of-candles-with-different-diameters-and-wax-types", "category_key": "material-properties", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 9 ], "measurement_codes": [ 2, 1, 6, 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Brennrate von Kerzen verschiedener Durchmesser und Wachssorten" }, "en": { "category": "Material properties", "title": "Burning rates of candles with different diameters and wax types" } }, { "no": 268, "source_index": 314, "id": "topic-314-voltage-and-capacity-change-of-a-lithium-ion-battery-over-repeated-cha", "category_key": "electricity", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 5, 6, 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Elektrizität", "title": "Spannungsverlauf eines Li-Ion-Akkus über 50 Lade-/Entladezyklen (Alterung)" }, "en": { "category": "Electricity", "title": "Voltage and capacity change of a lithium-ion battery over repeated charge cycles" } }, { "no": 269, "source_index": 334, "id": "topic-334-electroplating-cathode-mass-gain-versus-voltage-and-time", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 5, 13, 21 ], "safety_code": 2, "source_course_label": "AA HL", "de": { "category": "Kombinierte Experimente", "title": "Elektroplattierung: Massezunahme der Kathode vs. angelegte Spannung und Zeit" }, "en": { "category": "Combined experiments", "title": "Electroplating: cathode mass gain versus voltage and time" } }, { "no": 270, "source_index": 11, "id": "topic-011-euler-s-totient-function-and-its-properties", "category_key": "algebra-number-theory", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Untersuchung der Eulerschen Phi-Funktion und ihrer Eigenschaften" }, "en": { "category": "Algebra & number theory", "title": "Euler's totient function and its properties" } }, { "no": 271, "source_index": 31, "id": "topic-031-modelling-breathing-with-sinusoidal-functions", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Modellierung der Atmung mit Sinusfunktionen" }, "en": { "category": "Analysis & calculus", "title": "Modelling breathing with sinusoidal functions" } }, { "no": 272, "source_index": 52, "id": "topic-052-waiting-times-in-the-school-cafeteria", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4 ], "measurement_codes": [ 6 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Wartezeiten an der Schulkantine" }, "en": { "category": "Statistics & probability", "title": "Waiting times in the school cafeteria" } }, { "no": 273, "source_index": 73, "id": "topic-073-the-propagation-of-sound-waves-in-rooms", "category_key": "mathematical-modelling", "assessment_code": 3, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Mathematische Modellierung", "title": "Untersuchung der Ausbreitung von Schallwellen in Räumen" }, "en": { "category": "Mathematical modelling", "title": "The propagation of sound waves in rooms" } }, { "no": 274, "source_index": 93, "id": "topic-093-sphere-packing-density-in-three-dimensions", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 20 ], "safety_code": 0, "source_course_label": "AA, HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung der Packungsdichte von Kugeln in 3D" }, "en": { "category": "Geometry & topology", "title": "Sphere-packing density in three dimensions" } }, { "no": 275, "source_index": 112, "id": "topic-112-calculating-the-break-even-point-for-a-small-business", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Berechnung des Break-Even-Punkts für ein eigenes Geschäft" }, "en": { "category": "Financial mathematics", "title": "Calculating the break-even point for a small business" } }, { "no": 276, "source_index": 129, "id": "topic-129-equivalence-relations-and-partitions", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Untersuchung von Äquivalenzrelationen und Partitionen" }, "en": { "category": "Logic, set theory & proof", "title": "Equivalence relations and partitions" } }, { "no": 277, "source_index": 154, "id": "topic-154-the-mathematics-of-origami-folds", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 8 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Untersuchung der Mathematik von Origami-Faltungen" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "The mathematics of origami folds" } }, { "no": 278, "source_index": 275, "id": "topic-275-heat-loss-through-single-double-and-triple-glazing-in-winter", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 4, 1, 3 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Wärmeverlust verschiedener Fenstertypen (Einfach, Doppel, Dreifachglas) im Winter" }, "en": { "category": "Thermodynamics", "title": "Heat loss through single, double and triple glazing in winter" } }, { "no": 279, "source_index": 295, "id": "topic-295-water-loss-from-cut-flowers-in-different-solutions", "category_key": "material-properties", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 6, 16 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Wasserverlust von Schnittblumen in verschiedenen Lösungen (Wasser, Sprite, Aspirin, Zucker)" }, "en": { "category": "Material properties", "title": "Water loss from cut flowers in different solutions" } }, { "no": 280, "source_index": 315, "id": "topic-315-power-output-of-a-small-wind-turbine-at-simulated-wind-speeds", "category_key": "electricity", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 5, 12 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Elektrizität", "title": "Leistung eines kleinen Windrads bei simulierten Windgeschwindigkeiten (Ventilator)" }, "en": { "category": "Electricity", "title": "Power output of a small wind turbine at simulated wind speeds" } }, { "no": 281, "source_index": 335, "id": "topic-335-corrosion-and-conductivity-metal-mass-loss-versus-electrical-response-", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 5, 13, 16 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Korrosion + Leitfähigkeit: Masseverlust von Metall vs. Spannung in der Lösung" }, "en": { "category": "Combined experiments", "title": "Corrosion and conductivity: metal mass loss versus electrical response of the solution" } }, { "no": 282, "source_index": 12, "id": "topic-012-diophantine-equations-and-their-solvability", "category_key": "algebra-number-theory", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Diophantische Gleichungen und deren Lösbarkeit" }, "en": { "category": "Algebra & number theory", "title": "Diophantine equations and their solvability" } }, { "no": 283, "source_index": 32, "id": "topic-032-calculating-the-volume-of-irregular-objects-by-integration", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2 ], "measurement_codes": [ 1, 13, 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Berechnung des Volumens unregelmäßiger Objekte durch Integration" }, "en": { "category": "Analysis & calculus", "title": "Calculating the volume of irregular objects by integration" } }, { "no": 284, "source_index": 53, "id": "topic-053-analysing-success-rates-in-basketball-or-throwing-tasks", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Analyse der Trefferquote beim Basketball/Werfen" }, "en": { "category": "Statistics & probability", "title": "Analysing success rates in basketball or throwing tasks" } }, { "no": 285, "source_index": 74, "id": "topic-074-modelling-the-growth-of-bacterial-cultures", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13, 21 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Modellierung des Wachstums von Bakterienkulturen" }, "en": { "category": "Mathematical modelling", "title": "Modelling the growth of bacterial cultures" } }, { "no": 286, "source_index": 94, "id": "topic-094-reflection-geometry-in-architecture", "category_key": "geometry-topology", "assessment_code": 1, "course_code": 3, "courses": [ "aa" 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"topic-130-modelling-circuits-with-karnaugh-veitch-maps", "category_key": "logic-set-theory-proof", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 8, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Modellierung von Schaltkreisen mit Karnaugh-Veitch-Diagrammen" }, "en": { "category": "Logic, set theory & proof", "title": "Modelling circuits with Karnaugh-Veitch maps" } }, { "no": 289, "source_index": 155, "id": "topic-155-comparing-the-efficiency-of-stairs-and-lifts", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Analyse der Effizienz von Treppe vs. Aufzug" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Comparing the efficiency of stairs and lifts" } }, { "no": 290, "source_index": 276, "id": "topic-276-surface-temperature-recovery-after-ten-minutes-of-exercise", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 12 ], "measurement_codes": [ 3, 19 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Körpertemperatur-Recovery nach 10 Minuten Sport: Abkühlkurve verschiedener Personen" }, "en": { "category": "Thermodynamics", "title": "Surface-temperature recovery after ten minutes of exercise" } }, { "no": 291, "source_index": 296, "id": "topic-296-mass-change-caused-by-adsorption-onto-activated-carbon", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], 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"source_index": 336, "id": "topic-336-heat-storage-capacity-of-equal-masses-of-stone-metal-and-wood", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3, 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Wärmespeicherfähigkeit: gleiche Masse verschiedener Materialien, Temperaturverlauf" }, "en": { "category": "Combined experiments", "title": "Heat-storage capacity of equal masses of stone, metal and wood" } }, { "no": 294, "source_index": 13, "id": "topic-013-properties-of-mersenne-primes", "category_key": "algebra-number-theory", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Untersuchung der Eigenschaften von Mersenne-Primzahlen" }, "en": { "category": "Algebra & number theory", "title": "Properties of Mersenne primes" } }, { "no": 295, "source_index": 33, "id": "topic-033-limits-and-l-h-pital-s-rule", "category_key": "analysis-calculus", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Analysis & Calculus", "title": "Untersuchung von Grenzwerten mit der L'Hôpitalschen Regel" }, "en": { "category": "Analysis & calculus", "title": "Limits and L'Hôpital's rule" } }, { "no": 296, "source_index": 54, "id": "topic-054-testing-the-randomness-of-music-shuffle-functions", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 8 ], "measurement_codes": [ 9 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Zufälligkeit von Musik-Shuffle-Funktionen" }, "en": { "category": "Statistics & probability", "title": "Testing the randomness of music shuffle functions" } }, { "no": 297, "source_index": 75, "id": "topic-075-optimising-routes-to-school-or-work", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 4, 11 ], "measurement_codes": [ 8, 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Optimierung der Routenplanung für die Schule/Arbeit" }, "en": { "category": "Mathematical modelling", "title": "Optimising routes to school or work" } }, { "no": 298, "source_index": 95, "id": "topic-095-curves-of-constant-width-and-the-reuleaux-triangle", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung von Kurven konstanter Breite (Reuleaux-Dreieck)" }, "en": { "category": "Geometry & topology", "title": "Curves of constant width and the Reuleaux triangle" } }, { "no": 299, "source_index": 114, "id": "topic-114-modelling-exchange-rate-fluctuations", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Modellierung von Wechselkurs-Schwankungen" }, "en": { "category": "Financial mathematics", "title": "Modelling exchange-rate fluctuations" } }, { "no": 300, "source_index": 131, "id": "topic-131-properties-of-relations-reflexivity-symmetry-and-transitivity", "category_key": "logic-set-theory-proof", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Untersuchung der Eigenschaften von Relationen (reflexiv, symmetrisch, transitiv)" }, "en": { "category": "Logic, set theory & proof", "title": "Properties of relations: reflexivity, symmetry and transitivity" } }, { "no": 301, "source_index": 156, "id": "topic-156-modelling-the-amount-of-coffee-needed-to-maximise-caffeine-extraction", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Modellierung der optimalen Kaffeemenge für maximalen Koffeingehalt" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "Modelling the amount of coffee needed to maximise caffeine extraction" } }, { "no": 302, "source_index": 297, "id": "topic-297-filtration-efficiency-measured-by-suspended-solid-mass-in-different-wa", "category_key": "material-properties", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 11 ], "measurement_codes": [ 2 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Filtrationseffizienz: Schwebstoffmasse in Teichwasser, Leitungswasser, Regenwasser" }, "en": { "category": "Material properties", "title": "Filtration efficiency measured by suspended-solid mass in different water samples" } }, { "no": 303, "source_index": 317, "id": "topic-317-voltage-distribution-in-series-and-parallel-circuits-with-identical-la", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 10, 12 ], "measurement_codes": [ 5 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Spannungsabfall in Reihen- vs. Parallelschaltung identischer Lampen" }, "en": { "category": "Electricity", "title": "Voltage distribution in series and parallel circuits with identical lamps" } }, { "no": 304, "source_index": 337, "id": "topic-337-battery-discharge-across-different-temperatures-using-safe-manufacture", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 3, 5 ], "safety_code": 2, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Batterieentladung bei verschiedenen Temperaturen: Spannung und Masse (Gasbildung?)" }, "en": { "category": "Combined experiments", "title": "Battery discharge across different temperatures using safe manufacturer-approved conditions" } }, { "no": 305, "source_index": 14, "id": "topic-014-the-mathematics-of-isbn-and-iban-check-digits", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 7, "courses": [ "aa", "ai" ], "levels": [ "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL", "de": { "category": "Algebra & Zahlentheorie", "title": "Die Mathematik der ISBN- und IBAN-Prüfziffern" }, "en": { "category": "Algebra & number theory", "title": "The mathematics of ISBN and IBAN check digits" } }, { "no": 306, "source_index": 34, "id": "topic-034-areas-between-curves-and-their-meaning-in-economics", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 1 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Flächen zwischen Kurven und ihre Bedeutung in der Ökonomie" }, "en": { "category": "Analysis & calculus", "title": "Areas between curves and their meaning in economics" } }, { "no": 307, "source_index": 55, "id": "topic-055-comparing-probabilities-in-different-games-of-chance", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Vergleich von Wahrscheinlichkeiten bei verschiedenen Glücksspielen" }, "en": { "category": "Statistics & probability", "title": "Comparing probabilities in different games of chance" } }, { "no": 308, "source_index": 76, "id": "topic-076-modelling-climate-change-with-simple-climate-models", "category_key": "mathematical-modelling", "assessment_code": 3, "course_code": 5, "courses": [ "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 6, 9, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, HL", "de": { "category": "Mathematische Modellierung", "title": "Modellierung des Klimawandels mit einfachen Klimamodellen" }, "en": { "category": "Mathematical modelling", "title": "Modelling climate change with simple climate models" } }, { "no": 309, "source_index": 96, "id": "topic-096-calculating-areas-with-pick-s-theorem", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 10 ], "measurement_codes": [ 1, 13, 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Berechnung von Flächen mittels Pick’s Theorem" }, "en": { "category": "Geometry & topology", "title": "Calculating areas with Pick's theorem" } }, { "no": 310, "source_index": 115, "id": "topic-115-calculating-economic-order-quantity-with-the-eoq-model", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Berechnung der optimalen Bestellmenge (EOQ-Modell)" }, "en": { "category": "Financial mathematics", "title": "Calculating economic order quantity with the EOQ model" } }, { "no": 311, "source_index": 132, "id": "topic-132-a-proof-of-the-fundamental-theorem-of-arithmetic", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Beweis des Fundamentalsatzes der Arithmetik" }, "en": { "category": "Logic, set theory & proof", "title": "A proof of the fundamental theorem of arithmetic" } }, { "no": 312, "source_index": 157, "id": "topic-157-the-mathematics-of-soap-bubbles-and-minimal-surfaces", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 1 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Angewandte Mathematik & Interdisziplinär", "title": "Untersuchung der Mathematik von Seifenblasen (Minimalflächen)" }, "en": { "category": "Applied & interdisciplinary mathematics", "title": "The mathematics of soap bubbles and minimal surfaces" } }, { "no": 313, "source_index": 277, "id": "topic-277-temperature-changes-in-chemical-hot-and-cold-packs", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 3, 4, 1, 13 ], "safety_code": 2, "source_course_label": "AA, SL/HL", "de": { "category": "Thermodynamik", "title": "Temperaturänderung bei chemischen Warm- und Kaltpacks" }, "en": { "category": "Thermodynamics", "title": "Temperature changes in chemical hot and cold packs" } }, { "no": 314, "source_index": 318, "id": "topic-318-surface-resistance-of-wood-metal-plastic-and-water", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 5, 1 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Oberflächenwiderstand verschiedener Materialien (Holz, Metall, Kunststoff, Wasser, Haut)" }, "en": { "category": "Electricity", "title": "Surface resistance of wood, metal, plastic and water" } }, { "no": 315, "source_index": 338, "id": "topic-338-drying-curves-of-wet-clay-or-paper-mass-loss-and-surface-temperature", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 4, 1, 3 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Trocknungskurven: Masseverlust und Oberflächentemperatur von nassem Ton/Papier" }, "en": { "category": "Combined experiments", "title": "Drying curves of wet clay or paper: mass loss and surface temperature" } }, { "no": 316, "source_index": 15, "id": "topic-015-number-sequences-and-their-explicit-formulae", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], 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"topic-056-correlation-between-weather-and-mood", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 10 ], "measurement_codes": [ 12, 14 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Korrelation zwischen Wetter und Stimmung" }, "en": { "category": "Statistics & probability", "title": "Correlation between weather and mood" } }, { "no": 319, "source_index": 77, "id": "topic-077-the-propagation-of-light-through-different-media", "category_key": "mathematical-modelling", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 10 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Untersuchung der Ausbreitung von Licht in verschiedenen Medien" }, "en": { "category": "Mathematical modelling", "title": "The propagation of light through different media" } }, { "no": 320, "source_index": 97, "id": "topic-097-voronoi-diagrams-in-natural-structures", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung von Voronoi-Diagrammen in der Natur" }, "en": { "category": "Geometry & topology", "title": "Voronoi diagrams in natural structures" } }, { "no": 321, "source_index": 116, "id": "topic-116-depreciation-methods-in-accounting", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Untersuchung von Abschreibungsmethoden in der Buchhaltung" }, "en": { "category": "Financial mathematics", "title": "Depreciation methods in accounting" } }, { "no": 322, "source_index": 133, "id": "topic-133-axiom-systems-through-the-example-of-geometry", "category_key": "logic-set-theory-proof", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Logik, Mengenlehre & Beweise", "title": "Untersuchung von Axiomensystemen am Beispiel der Geometrie" }, "en": { "category": "Logic, set theory & proof", "title": "Axiom systems through the example of geometry" } }, { "no": 323, "source_index": 158, "id": "topic-158-analysing-the-distribution-of-stars-in-the-night-sky", "category_key": "applied-interdisciplinary-mathematics", "assessment_code": 3, "course_code": 6, 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radiation from matte black and shiny metal surfaces at the same temperature" } }, { "no": 325, "source_index": 298, "id": "topic-298-comparing-fat-content-in-crisps-by-supervised-solvent-extraction", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 16, 21 ], "safety_code": 2, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Fettgehalt verschiedener Kartoffelchips durch Petrol-Ether-Extraktion (Masse vor/nach)" }, "en": { "category": "Material properties", "title": "Comparing fat content in crisps by supervised solvent extraction" } }, { "no": 326, "source_index": 339, "id": "topic-339-baking-soda-and-vinegar-carbon-dioxide-mass-loss-and-temperature-chang", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], 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"source_index": 36, "id": "topic-036-optimising-a-vehicle-s-fuel-consumption", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Analysis & Calculus", "title": "Optimierung des Treibstoffverbrauchs eines Fahrzeugs" }, "en": { "category": "Analysis & calculus", "title": "Optimising a vehicle's fuel consumption" } }, { "no": 329, "source_index": 57, "id": "topic-057-statistical-analysis-of-election-results-and-forecasts", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 9 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Statistische Analyse von Wahlergebnissen und Prognosen" }, "en": { "category": "Statistics & probability", "title": "Statistical analysis of election results and forecasts" } }, { "no": 330, "source_index": 78, "id": "topic-078-modelling-population-change-in-a-city", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6, 9, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Modellierung der Bevölkerungsentwicklung einer Stadt" }, "en": { "category": "Mathematical modelling", "title": "Modelling population change in a city" } }, { "no": 331, "source_index": 98, "id": "topic-098-geometric-constructions-of-ellipses-and-parabolas", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 0 ], 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"topic-279-temperature-change-inside-a-compost-heap-over-fourteen-days", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 3, 6 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Temperaturverlauf in einem Komposthaufen über 14 Tage" }, "en": { "category": "Thermodynamics", "title": "Temperature change inside a compost heap over fourteen days" } }, { "no": 334, "source_index": 299, "id": "topic-299-salt-content-of-water-samples-measured-by-evaporation-and-residue-mass", "category_key": "material-properties", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 2, 11, 13, 16 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Salzgehalt verschiedener Wasserproben durch vollständige Verdunstung (Rückstandsmasse)" }, "en": { "category": "Material properties", "title": "Salt content of water samples measured by evaporation and residue mass" } }, { "no": 335, "source_index": 319, "id": "topic-319-power-output-of-a-bicycle-dynamo-at-different-rotational-speeds", "category_key": "electricity", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3, 11 ], "measurement_codes": [ 5, 8, 9, 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Elektrizität", "title": "Leistung eines Fahrraddynamos bei verschiedenen Drehzahlen (Geschwindigkeiten)" }, "en": { "category": "Electricity", "title": "Power output of a bicycle dynamo at different rotational speeds" } }, { "no": 336, "source_index": 17, "id": "topic-017-palindromic-numbers-in-different-bases", "category_key": "algebra-number-theory", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 7 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Untersuchung von Palindromzahlen in verschiedenen Basen" }, "en": { "category": "Algebra & number theory", "title": "Palindromic numbers in different bases" } }, { "no": 337, "source_index": 37, "id": "topic-037-curvature-in-bridges-and-arches", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Untersuchung der Krümmung von Brücken und Bögen" }, "en": { "category": "Analysis & calculus", "title": "Curvature in bridges and arches" } }, { "no": 338, "source_index": 58, "id": "topic-058-battery-life-across-different-brands", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 12 ], "measurement_codes": [ 5 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Lebensdauer von Batterien verschiedener Marken" }, "en": { "category": "Statistics & probability", "title": "Battery life across different brands" } }, { "no": 339, "source_index": 79, "id": "topic-079-the-trajectory-of-a-frisbee-or-boomerang", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 3 ], "measurement_codes": [ 7 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Untersuchung der Flugbahn von Frisbees oder Bumerangs" }, "en": { "category": "Mathematical modelling", "title": "The trajectory of a frisbee or boomerang" } }, { "no": 340, "source_index": 99, "id": "topic-099-properties-of-torus-knots", "category_key": "geometry-topology", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung der Eigenschaften von Torusknoten" }, "en": { "category": "Geometry & topology", "title": "Properties of torus knots" } }, { "no": 341, "source_index": 118, "id": "topic-118-modelling-retirement-savings-under-different-scenarios", "category_key": "financial-mathematics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Finanzmathematik", "title": "Modellierung der Altersvorsorge mit verschiedenen Szenarien" }, "en": { "category": "Financial mathematics", "title": "Modelling retirement savings under different scenarios" } }, { "no": 342, "source_index": 280, "id": "topic-280-cooling-molten-wax-or-chocolate-phase-transition-and-solidification", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 3, 4, 13 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Thermodynamik", "title": "Abkühlung von geschmolzenem Wachs/Schokolade: Phasenübergang und Erstarrung" }, "en": { "category": "Thermodynamics", "title": "Cooling molten wax or chocolate: phase transition and solidification" } }, { "no": 343, "source_index": 300, "id": "topic-300-biomass-growth-of-cress-or-sprouts-over-fourteen-days", "category_key": "material-properties", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 2, 6 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Biomasse-Wachstum von Kresse oder Sprossen über 14 Tage" }, "en": { "category": "Material properties", "title": "Biomass growth of cress or sprouts over fourteen days" } }, { "no": 344, "source_index": 320, "id": "topic-320-bioelectric-voltages-in-selected-fruits-vegetables-and-plant-tissues", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 6 ], "measurement_codes": [ 5 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Bioelektrische Spannungen verschiedener Pflanzen (Kartoffel, Zitrone, Blattstiel)" }, "en": { "category": "Electricity", "title": "Bioelectric voltages in selected fruits, vegetables and plant tissues" } }, { "no": 345, "source_index": 340, "id": "topic-340-resistance-change-as-a-resistor-heats-during-current-flow", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 4, 5, 1, 3 ], "safety_code": 1, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Widerstand von Widerständen bei Erwärmung durch Stromfluss (Spannung + IR)" }, "en": { "category": "Combined experiments", "title": "Resistance change as a resistor heats during current flow" } }, { "no": 346, "source_index": 18, "id": "topic-018-the-distribution-and-density-of-prime-numbers", "category_key": "algebra-number-theory", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Die Verteilung der Primzahlen und die Primzahldichte" }, "en": { "category": "Algebra & number theory", "title": "The distribution and density of prime numbers" } }, { "no": 347, "source_index": 38, "id": "topic-038-calculating-the-centroid-of-irregular-regions", "category_key": "analysis-calculus", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 1, 13, 20 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Berechnung des Schwerpunkts unregelmäßiger Flächen" }, "en": { "category": "Analysis & calculus", "title": "Calculating the centroid of irregular regions" } }, { "no": 348, "source_index": 59, "id": "topic-059-waiting-times-on-public-transport", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 6, 8 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Analyse der Wartezeiten bei öffentlichen Verkehrsmitteln" }, "en": { "category": "Statistics & probability", "title": "Waiting times on public transport" } }, { "no": 349, "source_index": 80, "id": "topic-080-modelling-household-water-consumption", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Modellierung des Wasserverbrauchs im Haushalt" }, "en": { "category": "Mathematical modelling", "title": "Modelling household water consumption" } }, { "no": 350, "source_index": 100, "id": "topic-100-great-circle-distances-on-earth", "category_key": "geometry-topology", "assessment_code": 3, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Geometrie & Topologie", "title": "Berechnung von Entfernungen auf der Erdkugel (Großkreise)" }, "en": { "category": "Geometry & topology", "title": "Great-circle distances on Earth" } }, { "no": 351, "source_index": 281, "id": "topic-281-surface-heating-of-smartphone-batteries-during-gaming-streaming-and-st", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 3, 4, 1, 5 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Erwärmung von Smartphone-Akkus bei Gaming, Streaming und Standby" }, "en": { "category": "Thermodynamics", "title": "Surface heating of smartphone batteries during gaming, streaming and standby" } }, { "no": 352, "source_index": 301, "id": "topic-301-density-and-air-fraction-in-different-chocolate-bars-measured-by-water", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 12 ], "measurement_codes": [ 2 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Dichte und Luftanteil verschiedener Schokoladenmarken durch Wasserverdrängung" }, "en": { "category": "Material properties", "title": "Density and air fraction in different chocolate bars measured by water displacement" } }, { "no": 353, "source_index": 321, "id": "topic-321-piezoelectric-voltage-under-different-applied-forces", "category_key": "electricity", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 5, 15 ], "safety_code": 2, "source_course_label": "AA, SL/HL", "de": { "category": "Elektrizität", "title": "Piezoelektrischer Effekt: Spannung bei Druck auf verschiedene Materialien (Quarz, Keramik)" }, "en": { "category": "Electricity", "title": "Piezoelectric voltage under different applied forces" } }, { "no": 354, "source_index": 341, "id": "topic-341-plant-growth-biomass-versus-leaf-surface-temperature", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 10 ], "measurement_codes": [ 2, 4, 3 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Pflanzenwachstum: Biomasse (Masse) vs. Blatttemperatur (Stressindikator)" }, "en": { "category": "Combined experiments", "title": "Plant growth: biomass versus leaf-surface temperature" } }, { "no": 355, "source_index": 19, "id": "topic-019-repeating-patterns-in-decimal-expansions", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 10 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Algebra & Zahlentheorie", "title": "Untersuchung von Wiederholungsmustern in Dezimalbrüchen" }, "en": { "category": "Algebra & number theory", "title": "Repeating patterns in decimal expansions" } }, { "no": 356, "source_index": 39, "id": "topic-039-taylor-series-and-their-convergence", "category_key": "analysis-calculus", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 10, 12 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Analysis & Calculus", "title": "Untersuchung von Taylor-Reihen und ihrer Konvergenz" }, "en": { "category": "Analysis & calculus", "title": "Taylor series and their convergence" } }, { "no": 357, "source_index": 60, "id": "topic-060-the-normal-distribution-of-student-heights-in-a-class", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 4, "courses": [ "ai" ], "levels": [ "sl" ], "personal_engagement_codes": [ 1, 4 ], "measurement_codes": [ 14 ], "safety_code": 3, "source_course_label": "AI, SL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Normalverteilung bei Körpergrößen in der Klasse" }, "en": { "category": "Statistics & probability", "title": "The normal distribution of student heights in a class" } }, { "no": 358, "source_index": 81, "id": "topic-081-light-propagation-in-optical-fibres", "category_key": "mathematical-modelling", "assessment_code": 3, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 10, 13 ], "safety_code": 0, "source_course_label": "AA HL", "de": { "category": "Mathematische Modellierung", "title": "Untersuchung der Ausbreitung von Licht in einer Faseroptik" }, "en": { "category": "Mathematical modelling", "title": "Light propagation in optical fibres" } }, { "no": 359, "source_index": 101, "id": "topic-101-penrose-tilings", "category_key": "geometry-topology", "assessment_code": 2, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 2, 11 ], "measurement_codes": [ 20 ], "safety_code": 0, "source_course_label": "AA, HL", "de": { "category": "Geometrie & Topologie", "title": "Untersuchung von Penrose-Parkettierungen" }, "en": { "category": "Geometry & topology", "title": "Penrose tilings" } }, { "no": 360, "source_index": 282, "id": "topic-282-heat-output-of-led-halogen-and-incandescent-lamps-at-comparable-bright", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11, 12 ], "measurement_codes": [ 4, 1, 3, 10 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Wärmeabgabe verschiedener Lampen-Technologien bei gleicher Helligkeit (LED, Halogen, Glühbirne)" }, "en": { "category": "Thermodynamics", "title": "Heat output of LED, halogen and incandescent lamps at comparable brightness" } }, { "no": 361, "source_index": 302, "id": "topic-302-sugar-solubility-in-water-from-20-c-to-80-c", "category_key": "material-properties", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 3, 13, 16 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Sättigungsmenge von Zucker in Wasser bei Temperaturen von 20°C bis 80°C" }, "en": { "category": "Material properties", "title": "Sugar solubility in water from 20°C to 80°C" } }, { "no": 362, "source_index": 322, "id": "topic-322-thermocouple-voltage-for-different-metal-pairs-and-junction-temperatur", "category_key": "electricity", "assessment_code": 1, "course_code": 2, "courses": [ "aa" ], "levels": [ "hl" ], "personal_engagement_codes": [ 1, 6 ], "measurement_codes": [ 3, 5, 13 ], "safety_code": 2, "source_course_label": "AA HL", "de": { "category": "Elektrizität", "title": "Thermoelement: Spannung bei Erwärmung einer Lötstelle mit verschiedenen Metallpaaren" }, "en": { "category": "Electricity", "title": "Thermocouple voltage for different metal pairs and junction temperatures" } }, { "no": 363, "source_index": 342, "id": "topic-342-comparing-coffee-cups-using-mass-surface-temperature-and-core-temperat", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5, 11 ], "measurement_codes": [ 2, 3, 4, 1 ], "safety_code": 0, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Kaffeetassen-Vergleich: Masse, Wärmeverlust (Oberfläche IR) und Kerntemperatur" }, "en": { "category": "Combined experiments", "title": "Comparing coffee cups using mass, surface temperature and core temperature" } }, { "no": 364, "source_index": 20, "id": "topic-020-the-mathematics-of-barcodes-and-qr-codes", "category_key": "algebra-number-theory", "assessment_code": 1, "course_code": 7, "courses": [ "aa", "ai" ], "levels": [ "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, SL", "de": { "category": "Algebra & Zahlentheorie", "title": "Die Mathematik der Barcodes und QR-Codes" }, "en": { "category": "Algebra & number theory", "title": "The mathematics of barcodes and QR codes" } }, { "no": 365, "source_index": 40, "id": "topic-040-modelling-plant-growth-rates", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 6, 11 ], "measurement_codes": [ 13 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Analysis & Calculus", "title": "Modellierung von Wachstumsraten von Pflanzen" }, "en": { "category": "Analysis & calculus", "title": "Modelling plant growth rates" } }, { "no": 366, "source_index": 61, "id": "topic-061-comparing-box-plots-across-different-school-grading-systems", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 4, 12 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Vergleich von Box-Plots bei verschiedenen Schulnotensystemen" }, "en": { "category": "Statistics & probability", "title": "Comparing box plots across different school grading systems" } }, { "no": 367, "source_index": 82, "id": "topic-082-modelling-the-efficiency-of-solar-energy-systems", "category_key": "mathematical-modelling", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 11 ], "measurement_codes": [ 13 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Mathematische Modellierung", "title": "Modellierung der Effizienz von Solarmodellen" }, "en": { "category": "Mathematical modelling", "title": "Modelling the efficiency of solar-energy systems" } }, { "no": 368, "source_index": 283, "id": "topic-283-a-temperature-map-of-a-hotplate-centre-to-edge-variation", "category_key": "thermodynamics", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 5 ], "measurement_codes": [ 4, 3 ], "safety_code": 1, "source_course_label": "AI, SL/HL", "de": { "category": "Thermodynamik", "title": "Temperaturkarte einer Kochplatte im Betrieb: Unterschiede Mitte vs. Rand" }, "en": { "category": "Thermodynamics", "title": "A temperature map of a hotplate: centre-to-edge variation" } }, { "no": 369, "source_index": 303, "id": "topic-303-drying-rates-of-cotton-polyester-wool-and-microfibre-textiles", "category_key": "material-properties", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1, 12 ], "measurement_codes": [ 2, 6 ], "safety_code": 0, "source_course_label": "AI, SL/HL", "de": { "category": "Stoffeigenschaften", "title": "Trocknungsgeschwindigkeit verschiedener Textilien (Baumwolle, Polyester, Wolle, Mikrofaser)" }, "en": { "category": "Material properties", "title": "Drying rates of cotton, polyester, wool and microfibre textiles" } }, { "no": 370, "source_index": 323, "id": "topic-323-battery-discharge-at-different-ambient-temperatures", "category_key": "electricity", "assessment_code": 1, "course_code": 9, "courses": [ "aa", "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 3, 5 ], "safety_code": 1, "source_course_label": "AA & AI, SL/HL", "de": { "category": "Elektrizität", "title": "Entladung eines Akkus bei verschiedenen Umgebungstemperaturen (0°C, 20°C, 40°C)" }, "en": { "category": "Electricity", "title": "Battery discharge at different ambient temperatures" } }, { "no": 371, "source_index": 343, "id": "topic-343-ice-formation-frost-mass-gain-and-surface-temperature-over-time", "category_key": "combined-experiments", "assessment_code": 1, "course_code": 3, "courses": [ "aa" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 1 ], "measurement_codes": [ 2, 4, 1, 3 ], "safety_code": 0, "source_course_label": "AA, SL/HL", "de": { "category": "Kombinierte Experimente", "title": "Eisbildung: Massezunahme durch Frost und Oberflächentemperatur der Eisschicht" }, "en": { "category": "Combined experiments", "title": "Ice formation: frost mass gain and surface temperature over time" } }, { "no": 372, "source_index": 41, "id": "topic-041-analysing-speed-distributions-in-traffic-flow", "category_key": "analysis-calculus", "assessment_code": 1, "course_code": 8, "courses": [ "aa", "ai" ], "levels": [ "hl" ], "personal_engagement_codes": [ 6 ], "measurement_codes": [ 0 ], "safety_code": 0, "source_course_label": "AA & AI, HL", "de": { "category": "Analysis & Calculus", "title": "Analyse der Geschwindigkeitsverteilung bei Verkehrsströmen" }, "en": { "category": "Analysis & calculus", "title": "Analysing speed distributions in traffic flow" } }, { "no": 373, "source_index": 62, "id": "topic-062-the-probability-of-twin-births", "category_key": "statistics-probability", "assessment_code": 1, "course_code": 6, "courses": [ "ai" ], "levels": [ "hl", "sl" ], "personal_engagement_codes": [ 9 ], "measurement_codes": [ 13 ], "safety_code": 3, "source_course_label": "AI, SL/HL", "de": { "category": "Statistik & Wahrscheinlichkeit", "title": "Untersuchung der Wahrscheinlichkeit von Zwillingsgeburten" }, "en": { "category": "Statistics & probability", "title": "The probability of twin births" } } ] }