{
  "schema_version": 2,
  "updated": "2026-09-21",
  "count": 50,
  "total_records": 50,
  "examples": [
    {
      "id": "ib-ee-math-example-a-catenary",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "legacy"
      ],
      "levels": [],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "official_ib",
      "source_name": "International Baccalaureate",
      "access": "free_no_account",
      "url": "https://ibpublishing.ibo.org/extendedessay/apps/dpapp/sample.html?chapter=21&doc=d_0_eeyyy_gui_1602_1_e&part=1&sample-index=1",
      "original_title": "The use of hyperbolic cosine function in catenary bridge structure",
      "has_examiner_commentary": true,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Offizielles älteres Mathematics-EE-Beispiel über Kettenlinien, hyperbolische Funktionen und eine reale Brückenkonstruktion. Arbeit, Reflexion und Prüferkommentar sind zusammen einsehbar.",
        "learning": "Gut geeignet, um zu prüfen, wie ein reales Bauwerk in ein mathematisches Modell übersetzt und anschließend kritisch bewertet wird.",
        "caution": "",
        "topics": [
          "Hyperbelfunktionen",
          "Kettenlinie",
          "Modellierung"
        ]
      },
      "en": {
        "summary": "Official legacy Mathematics EE example on catenaries, hyperbolic functions and a real bridge structure. The essay, reflections and examiner commentary can be viewed together.",
        "learning": "Useful for studying how a real structure is translated into a mathematical model and then evaluated critically.",
        "caution": "",
        "topics": [
          "Hyperbolic functions",
          "Catenary",
          "Modelling"
        ]
      },
      "link_status": "ok",
      "active": true,
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "ib-ee-math-example-b-line-stitching",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "legacy"
      ],
      "levels": [],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "official_ib",
      "source_name": "International Baccalaureate",
      "access": "free_no_account",
      "url": "https://ibpublishing.ibo.org/extendedessay/apps/dpapp/sample.html?chapter=21&doc=d_0_eeyyy_gui_1602_1_e&part=1&sample-index=2",
      "original_title": "Line Stitching and Area: How to find the area underneath a polygon",
      "has_examiner_commentary": true,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Offizielles älteres Mathematics-EE-Beispiel zu Liniensegmenten, Polygonen und Flächenberechnung mit vollständigem Prüferkommentar.",
        "learning": "Zeigt, wie eine visuelle Konstruktion schrittweise in eine allgemeine mathematische Argumentation überführt werden kann.",
        "caution": "",
        "topics": [
          "Geometrie",
          "Flächen",
          "Folgen"
        ]
      },
      "en": {
        "summary": "Official legacy Mathematics EE example on line segments, polygons and area, with full examiner commentary.",
        "learning": "Shows how a visual construction can be developed step by step into a general mathematical argument.",
        "caution": "",
        "topics": [
          "Geometry",
          "Area",
          "Sequences"
        ]
      },
      "link_status": "ok",
      "active": true,
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "ib-ee-math-example-c-electoral-system",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "legacy"
      ],
      "levels": [],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "official_ib",
      "source_name": "International Baccalaureate",
      "access": "free_no_account",
      "url": "https://ibpublishing.ibo.org/extendedessay/apps/dpapp/sample.html?chapter=21&doc=d_0_eeyyy_gui_1602_1_e&part=1&sample-index=3",
      "original_title": "An Iterative Electoral System",
      "has_examiner_commentary": true,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Offizielles älteres Mathematics-EE-Beispiel zu einem iterativen Wahlsystem. Der Prüferkommentar macht auch erkennbare Grenzen der mathematischen Tiefe sichtbar.",
        "learning": "Besonders nützlich, um nicht nur Stärken, sondern auch die Folgen einer zu schwachen mathematischen Entwicklung zu analysieren.",
        "caution": "",
        "topics": [
          "Wahlsysteme",
          "Iteration",
          "diskrete Mathematik"
        ]
      },
      "en": {
        "summary": "Official legacy Mathematics EE example on an iterative electoral system. The examiner commentary also makes limitations in mathematical depth visible.",
        "learning": "Especially useful for analysing not only strengths but also the consequences of insufficient mathematical development.",
        "caution": "",
        "topics": [
          "Voting systems",
          "Iteration",
          "Discrete mathematics"
        ]
      },
      "link_status": "ok",
      "active": true,
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "ib-ee-math-example-d-musical-consonance",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "legacy"
      ],
      "levels": [],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "official_ib",
      "source_name": "International Baccalaureate",
      "access": "free_no_account",
      "url": "https://ibpublishing.ibo.org/extendedessay/apps/dpapp/sample.html?chapter=21&doc=d_0_eeyyy_gui_1602_1_e&part=1&sample-index=4",
      "original_title": "The Mathematics of Musical Consonance",
      "has_examiner_commentary": true,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Offizielles älteres Mathematics-EE-Beispiel zur Verbindung von Frequenzverhältnissen, musikalischen Intervallen und Konsonanz.",
        "learning": "Zeigt, wie ein persönlicher Musikbezug mathematisch eingegrenzt und mit klar definierten Größen untersucht werden kann.",
        "caution": "",
        "topics": [
          "Musik",
          "Frequenzverhältnisse",
          "Konsonanz"
        ]
      },
      "en": {
        "summary": "Official legacy Mathematics EE example connecting frequency ratios, musical intervals and consonance.",
        "learning": "Shows how a personal interest in music can be narrowed mathematically and investigated using clearly defined quantities.",
        "caution": "",
        "topics": [
          "Music",
          "Frequency ratios",
          "Consonance"
        ]
      },
      "link_status": "ok",
      "active": true,
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "github-ansh-cryptography-ee",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "math"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf",
        "repository"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "GitHub · ansh",
      "access": "free_no_account",
      "url": "https://github.com/ansh/Mathematics-Extended-Essay/blob/master/Math_EE.pdf",
      "original_title": "Mathematics Extended Essay: Modern Cryptography",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Vollständiger, vom Autor veröffentlichter Mathematics EE über moderne Kryptografie, insbesondere RSA und elliptische Kurven. Das Repository enthält zusätzlich Arbeitsdateien.",
        "learning": "Hilfreich für den Umgang mit Definitionen, Algorithmen, Programmcode und einem technisch anspruchsvollen roten Faden.",
        "caution": "Die Note ist eine Angabe des Autors im Repository und keine von PreLearning unabhängig bestätigte IB-Bewertung.",
        "topics": [
          "Kryptografie",
          "RSA",
          "elliptische Kurven"
        ]
      },
      "en": {
        "summary": "Complete author-published Mathematics EE on modern cryptography, especially RSA and elliptic curves. The repository also contains working files.",
        "learning": "Helpful for studying definitions, algorithms, program code and a technically demanding line of reasoning.",
        "caution": "The grade is stated by the author in the repository and has not been independently verified by PreLearning.",
        "topics": [
          "Cryptography",
          "RSA",
          "Elliptic curves"
        ]
      },
      "session": "May 2019",
      "score": {
        "label": "A · 33/34",
        "provenance": "author_stated"
      },
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "github-xujustinj-ulam-spiral-ee",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "math"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf",
        "repository"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "GitHub · xujustinj",
      "access": "free_no_account",
      "url": "https://github.com/xujustinj/Extended-Essay/blob/master/03-01-19%20Version%20%28Revision%29.pdf",
      "original_title": "A Geometric Explanation for Prime-rich Lines on the Ulam Spiral",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Vom Autor veröffentlichter Mathematics EE zur Ulam-Spirale und zu primzahlreichen Linien. Das Repository enthält eine eingereichte und eine überarbeitete Fassung sowie Java-Code.",
        "learning": "Interessant für die Verbindung von Zahlentheorie, geometrischer Darstellung, computergestützter Erkundung und Überarbeitung.",
        "caution": "Die Note ist eine Selbstauskunft des Autors. Die überarbeitete Fassung ist nicht zwingend identisch mit der eingereichten Arbeit.",
        "topics": [
          "Ulam-Spirale",
          "Primzahlen",
          "Programmierung"
        ]
      },
      "en": {
        "summary": "Author-published Mathematics EE on the Ulam spiral and prime-rich lines. The repository contains submitted and revised versions plus Java code.",
        "learning": "Useful for connecting number theory, geometric representation, computational exploration and revision.",
        "caution": "The grade is self-reported by the author. The revised version is not necessarily identical to the submitted essay.",
        "topics": [
          "Ulam spiral",
          "Prime numbers",
          "Programming"
        ]
      },
      "score": {
        "label": "A",
        "provenance": "author_stated"
      },
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "github-km64-snake-eyes-ia",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf",
        "repository"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "GitHub · km-64",
      "access": "free_no_account",
      "url": "https://github.com/km-64/IB-Math-IA/blob/master/internal-assessment.pdf",
      "original_title": "Investigating Optimal Strategies in the Dice Game “Snake Eyes”",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Vollständige Mathematics AA HL IA zu optimalen Strategien in einem Würfelspiel. Erwartungswerte, Wahrscheinlichkeiten, Simulationen und verzerrte Würfel werden kombiniert.",
        "learning": "Zeigt, wie ein Spiel zunächst theoretisch untersucht und anschließend mit selbst geschriebenen Simulationen überprüft werden kann.",
        "caution": "Das Repository nennt eine abschließende Kursnote 7, aber keine verifizierte Punktzahl dieser IA. Deshalb wird hier keine IA-Note ausgewiesen.",
        "topics": [
          "Wahrscheinlichkeit",
          "Erwartungswert",
          "Simulation"
        ]
      },
      "en": {
        "summary": "Complete Mathematics AA HL IA on optimal strategies in a dice game, combining expected values, probability, simulations and biased dice.",
        "learning": "Shows how a game can first be analysed theoretically and then checked with student-written simulations.",
        "caution": "The repository mentions a final course grade of 7 but no verified score for this IA, so no IA grade is displayed here.",
        "topics": [
          "Probability",
          "Expected value",
          "Simulation"
        ]
      },
      "session": "May 2023",
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "github-rayhanadev-stock-markov-ia",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf",
        "repository"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "GitHub · rayhanadev",
      "access": "free_no_account",
      "url": "https://github.com/rayhanadev/math-ia/blob/main/main.pdf",
      "original_title": "Predicting Future Changes in a Publicly Traded Stock Using Historical Data and Methods from Probability",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Vom Autor veröffentlichte Mathematics AA HL IA, die historische Kursbewegungen mit Markov-Ketten und bedingten Wahrscheinlichkeiten modelliert.",
        "learning": "Nützlich, um den Unterschied zwischen einem mathematischen Modell, einer empirischen Anpassung und echter Vorhersagekraft zu diskutieren.",
        "caution": "Der Autor weist selbst darauf hin, dass das Verfahren keine verlässliche Anlagestrategie ist. Die Arbeit dient nicht als Finanzberatung.",
        "topics": [
          "Markov-Ketten",
          "Aktienkurse",
          "Wahrscheinlichkeit"
        ]
      },
      "en": {
        "summary": "Author-published Mathematics AA HL IA modelling historical stock-price movements with Markov chains and conditional probabilities.",
        "learning": "Useful for discussing the difference between a mathematical model, empirical fitting and genuine predictive power.",
        "caution": "The author explicitly notes that the method is not a reliable investment strategy. The work is not financial advice.",
        "topics": [
          "Markov chains",
          "Stock prices",
          "Probability"
        ]
      },
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "github-tynanpurdy-tessellation-ia",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "math"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf",
        "repository"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "GitHub · tynanpurdy",
      "access": "free_no_account",
      "url": "https://github.com/tynanpurdy/tessellation/blob/master/latex/tynan-math-ia.pdf",
      "original_title": "The Mathematical Generation and Representation of Tessellated Patterns",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "unknown",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Vollständige, öffentlich geteilte IA über die mathematische Erzeugung und Darstellung von Parkettierungen; das Repository enthält außerdem Quell- und Bewertungsdateien.",
        "learning": "Gut geeignet, um visuelle Mathematik, Transformationen, Symmetrie und nachvollziehbare digitale Konstruktionen zu vergleichen.",
        "caution": "",
        "topics": [
          "Parkettierungen",
          "Symmetrie",
          "Transformationen"
        ]
      },
      "en": {
        "summary": "Complete publicly shared IA on the mathematical generation and representation of tessellations; the repository also contains source and rubric files.",
        "learning": "Useful for comparing visual mathematics, transformations, symmetry and reproducible digital constructions.",
        "caution": "",
        "topics": [
          "Tessellations",
          "Symmetry",
          "Transformations"
        ]
      },
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "github-mpardalos-rsa-ee",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "math"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "repository"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "GitHub · mpardalos",
      "access": "free_no_account",
      "url": "https://github.com/mpardalos/Extended-Essay",
      "original_title": "Extended Essay on RSA and Secure Communication",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "unknown",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Öffentliches Repository zu einem Mathematics EE über RSA, sichere Kommunikation und die zugrunde liegende Zahlentheorie.",
        "learning": "Hilfreich als Vergleich dafür, wie ein ähnlicher Kryptografie-Bereich anders fokussiert und technisch dokumentiert werden kann.",
        "caution": "Eine verifizierte Bewertung ist nicht angegeben; der Eintrag dient als Arbeits- und Strukturbeispiel.",
        "topics": [
          "RSA",
          "modulare Arithmetik",
          "IT-Sicherheit"
        ]
      },
      "en": {
        "summary": "Public repository for a Mathematics EE on RSA, secure communication and the underlying number theory.",
        "learning": "Helpful for comparing how a similar cryptography area can be focused and documented differently.",
        "caution": "No verified grade is stated; this entry is included as an example of work and structure.",
        "topics": [
          "RSA",
          "Modular arithmetic",
          "Information security"
        ]
      },
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-eulers-number",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorations.pdf",
      "original_title": "What makes Euler’s number special?",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Schulisch veröffentlichte HL-Exploration über die Zahl e, Exponentialfunktionen, Transzendenz und die Euler-Identität.",
        "learning": "Zeigt, wie ein sehr breites mathematisches Objekt über ausgewählte Eigenschaften strukturiert werden kann.",
        "caution": "",
        "topics": [
          "Eulersche Zahl",
          "Exponentialfunktion",
          "Euler-Identität"
        ]
      },
      "en": {
        "summary": "School-hosted HL exploration on the number e, exponential functions, transcendence and Euler’s identity.",
        "learning": "Shows how a broad mathematical object can be structured through selected properties.",
        "caution": "",
        "topics": [
          "Euler’s number",
          "Exponential function",
          "Euler identity"
        ]
      },
      "pages": 14,
      "session": "May 2017",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-taylor-series",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationv.pdf",
      "original_title": "How are Taylor Series Used in Numerically Approximating the Solutions to Trigonometric Functions?",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "HL-Exploration zur numerischen Approximation trigonometrischer Funktionen mit Taylor-Reihen und zur Entwicklung von Fehlern.",
        "learning": "Geeignet, um Herleitung, Approximation, grafischen Vergleich und Fehleranalyse in einer theoretischeren IA zu untersuchen.",
        "caution": "",
        "topics": [
          "Taylor-Reihen",
          "Approximation",
          "Trigonometrie"
        ]
      },
      "en": {
        "summary": "HL exploration on approximating trigonometric functions numerically with Taylor series and studying error.",
        "learning": "Useful for studying derivation, approximation, graphical comparison and error analysis in a more theoretical IA.",
        "caution": "",
        "topics": [
          "Taylor series",
          "Approximation",
          "Trigonometry"
        ]
      },
      "pages": 17,
      "session": "May 2017",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-zipf",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationj.pdf",
      "original_title": "Comparison of Zipf’s Law and Zipf Distribution",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "HL-Exploration, die Zipfs Gesetz mit einer Wahrscheinlichkeitsverteilung vergleicht und empirische Muster mathematisch diskutiert.",
        "learning": "Hilfreich für die Frage, wie Daten, Log-Log-Darstellungen und theoretische Verteilungen miteinander verbunden werden.",
        "caution": "",
        "topics": [
          "Zipfs Gesetz",
          "Verteilungen",
          "Regression"
        ]
      },
      "en": {
        "summary": "HL exploration comparing Zipf’s law with a probability distribution and discussing empirical patterns mathematically.",
        "learning": "Helpful for studying how data, log-log plots and theoretical distributions are connected.",
        "caution": "",
        "topics": [
          "Zipf’s law",
          "Distributions",
          "Regression"
        ]
      },
      "pages": 21,
      "session": "May 2017",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-neural-networks",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationo.pdf",
      "original_title": "Learning in Artificial Neural Networks Using Gradient Descent",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "HL-Exploration über Lernprozesse in neuronalen Netzen mit Gradientenabstieg und einer persönlichen Motivation durch KI.",
        "learning": "Zeigt, wie ein modernes Informatikthema auf eine klar definierte mathematische Methode reduziert werden kann.",
        "caution": "",
        "topics": [
          "Gradientenabstieg",
          "neuronale Netze",
          "Optimierung"
        ]
      },
      "en": {
        "summary": "HL exploration on learning in neural networks using gradient descent, motivated by a personal interest in AI.",
        "learning": "Shows how a modern computing topic can be reduced to a clearly defined mathematical method.",
        "caution": "",
        "topics": [
          "Gradient descent",
          "Neural networks",
          "Optimisation"
        ]
      },
      "pages": 15,
      "session": "May 2017",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-dress-area",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/exploratione.pdf",
      "original_title": "Finding the total area of a fabric of a dress via integration",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "SL-Exploration zur Flächenbestimmung eines Kleides durch Integration, mit einem persönlichen Bezug zu Mode und Nähen.",
        "learning": "Ein gutes Beispiel dafür, wie ein Alltagsobjekt gemessen, mathematisch vereinfacht und die Genauigkeit des Modells reflektiert wird.",
        "caution": "",
        "topics": [
          "Integration",
          "Flächen",
          "Mode"
        ]
      },
      "en": {
        "summary": "SL exploration on finding the fabric area of a dress through integration, with a personal connection to fashion and sewing.",
        "learning": "A useful example of measuring an everyday object, simplifying it mathematically and reflecting on model accuracy.",
        "caution": "",
        "topics": [
          "Integration",
          "Area",
          "Fashion"
        ]
      },
      "pages": 15,
      "session": "May 2017",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-chalice-volume",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationm.pdf",
      "original_title": "Volumes of solids of revolutions: volume of a chalice",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "SL-Exploration über Rotationskörper anhand eines Kelchs; behandelt unter anderem Halbkugel, Parabel, Torus und Gabriel’s Horn.",
        "learning": "Zeigt, wie ein reales Gefäß zerlegt, durch Funktionen angenähert und mit verschiedenen Volumenmethoden untersucht wird.",
        "caution": "",
        "topics": [
          "Rotationskörper",
          "Volumen",
          "Integration"
        ]
      },
      "en": {
        "summary": "SL exploration on solids of revolution using a chalice, including a hemisphere, parabola, torus and Gabriel’s horn.",
        "learning": "Shows how a real vessel can be decomposed, approximated with functions and studied using different volume methods.",
        "caution": "",
        "topics": [
          "Solids of revolution",
          "Volume",
          "Integration"
        ]
      },
      "pages": 13,
      "session": "May 2017",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-web-design",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/mathematics-ia-o.pdf",
      "original_title": "How is Mathematics used in Web Design?",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics AA SL IA über Fibonacci-Proportionen, Goldene Spiralen, den Goldenen Schnitt, die Drittelregel und Sinuswellen im Webdesign.",
        "learning": "Starkes Beispiel für persönlichen Bezug: eigenes Interesse an Webdesign wird in mehrere prüfbare Gestaltungsmuster übersetzt.",
        "caution": "",
        "topics": [
          "Goldener Schnitt",
          "Fibonacci",
          "Webdesign"
        ]
      },
      "en": {
        "summary": "Mathematics AA SL IA on Fibonacci proportions, golden spirals, the golden ratio, the rule of thirds and sine waves in web design.",
        "learning": "Strong example of personal engagement: an interest in web design is translated into several testable design patterns.",
        "caution": "",
        "topics": [
          "Golden ratio",
          "Fibonacci",
          "Web design"
        ]
      },
      "pages": 21,
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-income-inequality",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/math-ia-v.pdf",
      "original_title": "Income inequality: correlation between education and income of men and women in Finland",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics AA SL IA zur Korrelation zwischen Bildung und Einkommen von Männern und Frauen in Finnland.",
        "learning": "Hilfreich für Datenwahl, Korrelation, getrennte Gruppenvergleiche, Interpretation und begrenzte Kausalitätsaussagen.",
        "caution": "",
        "topics": [
          "Korrelation",
          "Einkommen",
          "Bildung"
        ]
      },
      "en": {
        "summary": "Mathematics AA SL IA on the correlation between education and income for men and women in Finland.",
        "learning": "Useful for studying data selection, correlation, group comparisons, interpretation and limits on causal claims.",
        "caution": "",
        "topics": [
          "Correlation",
          "Income",
          "Education"
        ]
      },
      "pages": 19,
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-great-circle",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/ia-mathe.pdf",
      "original_title": "Estimating paths between two points on Earth using small circles, great circles and the spherical law of cosines",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "unknown",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Exploration zur Entfernungsbestimmung auf der Erde mit Kleinkreis, Großkreis und sphärischem Kosinussatz, motiviert durch Reisen und Astronomie.",
        "learning": "Zeigt, wie Koordinaten, Kugelgeometrie und verschiedene Näherungen für dieselbe reale Frage verglichen werden.",
        "caution": "",
        "topics": [
          "Kugelgeometrie",
          "Großkreis",
          "Navigation"
        ]
      },
      "en": {
        "summary": "Exploration on estimating distances on Earth using small circles, great circles and the spherical law of cosines, motivated by travel and astronomy.",
        "learning": "Shows how coordinates, spherical geometry and different approximations can be compared for the same real question.",
        "caution": "",
        "topics": [
          "Spherical geometry",
          "Great circle",
          "Navigation"
        ]
      },
      "pages": 19,
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "peda-soccer-age-goals",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/sample-explorations/ia.pdf",
      "original_title": "Relationship between player age and mean goals per game in Finnish women’s soccer leagues",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics SL IA über den Zusammenhang zwischen Alter und durchschnittlichen Toren pro Spiel in finnischen Frauenfußballligen.",
        "learning": "Gut geeignet, um öffentliche Sportdaten, Korrelation, Regression und eine persönliche Verbindung zum Fußball zu analysieren.",
        "caution": "",
        "topics": [
          "Fußball",
          "Korrelation",
          "Regression"
        ]
      },
      "en": {
        "summary": "Mathematics SL IA on the relationship between player age and mean goals per game in Finnish women’s football leagues.",
        "learning": "Useful for analysing public sports data, correlation, regression and a personal connection to football.",
        "caution": "",
        "topics": [
          "Football",
          "Correlation",
          "Regression"
        ]
      },
      "pages": 25,
      "session": "May 2021",
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "weebly-breaking-code",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example01_e_breaking_the_code.pdf",
      "original_title": "Breaking the Code",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Kryptografie von Caesar- und Vigenère-Verfahren bis Enigma und RSA.",
        "learning": "Vergleicht mehrere Verfahren und macht sichtbar, wie schnell eine Arbeit zu breit werden kann.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Kryptografie",
          "RSA",
          "Chiffren"
        ]
      },
      "en": {
        "summary": "Cryptography from Caesar and Vigenère ciphers to Enigma and RSA.",
        "learning": "Compares several methods and shows how quickly an exploration can become too broad.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Cryptography",
          "RSA",
          "Ciphers"
        ]
      },
      "pages": 10,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-euler-totient",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example02_e.pdf",
      "original_title": "Proving Euler’s Totient Theorem",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Kurze beweisorientierte Exploration zum Satz von Euler und zur Phi-Funktion.",
        "learning": "Nützlich für Definitionen, Lemmas, Beweisstruktur und präzise Notation.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Zahlentheorie",
          "Phi-Funktion",
          "Beweis"
        ]
      },
      "en": {
        "summary": "Short proof-oriented exploration of Euler’s theorem and the totient function.",
        "learning": "Useful for definitions, lemmas, proof structure and precise notation.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Number theory",
          "Totient function",
          "Proof"
        ]
      },
      "pages": 7,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-minesweeper",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example03_e.pdf",
      "original_title": "Mathematical Exploration: Minesweeper",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Exploration mathematischer Muster und Wahrscheinlichkeiten im Spiel Minesweeper.",
        "learning": "Zeigt, wie ein Spiel mit eigenen Beispielen und Zuständen mathematisch formalisiert werden kann.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Wahrscheinlichkeit",
          "Spiel",
          "Logik"
        ]
      },
      "en": {
        "summary": "Exploration of mathematical patterns and probabilities in Minesweeper.",
        "learning": "Shows how a game can be formalised mathematically using selected states and examples.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Probability",
          "Game",
          "Logic"
        ]
      },
      "pages": 7,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-musical-chords",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example04_e.pdf",
      "original_title": "Modelling musical chords using sine waves",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Modelliert musikalische Akkorde als Überlagerungen von Sinuswellen.",
        "learning": "Geeignet für Funktionsgraphen, Parameter, Überlagerung und die Verbindung zu selbst gewählter Musik.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Sinusfunktionen",
          "Akkorde",
          "Modellierung"
        ]
      },
      "en": {
        "summary": "Models musical chords as superpositions of sine waves.",
        "learning": "Useful for function graphs, parameters, superposition and a connection to chosen music.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Sine functions",
          "Chords",
          "Modelling"
        ]
      },
      "pages": 10,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-newton-raphson",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example05_e.pdf",
      "original_title": "Newton–Raphson method",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Exploration des Newton-Raphson-Verfahrens zur numerischen Bestimmung von Nullstellen.",
        "learning": "Zeigt iterative Verfahren, Konvergenz und die Bedeutung geeigneter Startwerte.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Newton-Raphson",
          "Iteration",
          "Nullstellen"
        ]
      },
      "en": {
        "summary": "Exploration of the Newton–Raphson method for finding roots numerically.",
        "learning": "Shows iterative methods, convergence and the importance of suitable starting values.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Newton–Raphson",
          "Iteration",
          "Roots"
        ]
      },
      "pages": 8,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-nightingale",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example06_e.pdf",
      "original_title": "The Polar Area Diagrams of Florence Nightingale",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Untersucht die Polarflächendiagramme Florence Nightingales und ihre mathematische Konstruktion.",
        "learning": "Hilfreich für Datenvisualisierung, Flächeninterpretation und die kritische Wirkung grafischer Entscheidungen.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Statistik",
          "Polarflächen",
          "Datenvisualisierung"
        ]
      },
      "en": {
        "summary": "Investigates Florence Nightingale’s polar area diagrams and their mathematical construction.",
        "learning": "Useful for data visualisation, area interpretation and the effect of graphical choices.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Statistics",
          "Polar areas",
          "Data visualisation"
        ]
      },
      "pages": 12,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-rainfall",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example07_e.pdf",
      "original_title": "Modelling Rainfall",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Modelliert Niederschlagsdaten mit Funktionen und statistischen Verfahren.",
        "learning": "Zeigt Datenbereinigung, Modellwahl, Parameteranpassung und die Grenzen langfristiger Prognosen.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Niederschlag",
          "Regression",
          "Modellwahl"
        ]
      },
      "en": {
        "summary": "Models rainfall data using functions and statistical methods.",
        "learning": "Shows data cleaning, model choice, parameter fitting and limits of long-term prediction.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Rainfall",
          "Regression",
          "Model choice"
        ]
      },
      "pages": 14,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-spirals-nature",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example08_e.pdf",
      "original_title": "Spirals in Nature",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Untersucht Spiralen und Proportionen in ausgewählten Naturformen.",
        "learning": "Nützlich, um zwischen anschaulicher Beobachtung, Messung und tatsächlich belegtem mathematischem Muster zu unterscheiden.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Spiralen",
          "Natur",
          "Proportionen"
        ]
      },
      "en": {
        "summary": "Investigates spirals and proportions in selected natural forms.",
        "learning": "Useful for distinguishing visual observation, measurement and genuinely supported mathematical patterns.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Spirals",
          "Nature",
          "Proportions"
        ]
      },
      "pages": 8,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "weebly-hanoi",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example09_e.pdf",
      "original_title": "Tower of Hanoi",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Exploration des Türme-von-Hanoi-Problems mit Rekursion, Folgen und Verallgemeinerung.",
        "learning": "Gut geeignet für Musterentdeckung, rekursive Beziehungen und einen Beweis der allgemeinen Formel.",
        "caution": "Historischer Drittanbieter-Mirror. Zugehörige Annotationen und Bewertungsdateien liegen auf der Sammlungsseite; aktuelle Kriterien können abweichen.",
        "topics": [
          "Rekursion",
          "Folgen",
          "Beweis"
        ]
      },
      "en": {
        "summary": "Exploration of the Tower of Hanoi problem using recursion, sequences and generalisation.",
        "learning": "Useful for pattern discovery, recurrence relations and proving a general formula.",
        "caution": "Historical third-party mirror. Related annotations and assessment files are on the collection page; current criteria may differ.",
        "topics": [
          "Recursion",
          "Sequences",
          "Proof"
        ]
      },
      "pages": 11,
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "application/pdf"
    },
    {
      "id": "academia-pot-integrals",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "html",
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Academia.edu",
      "access": "free_preview_account_download",
      "url": "https://www.academia.edu/50996896/IB_Mathematics_Analysis_and_Approaches_HL_Internal_Assessment_2021_Calculating_2D_Area_Volume_and_3D_Surface_Area_of_Pot_Using_Integrals",
      "original_title": "Calculating 2D Area, Volume and 3D Surface Area of Pot Using Integrals",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics AA HL IA über die Vermessung eines Tongefäßes und die Bestimmung von Fläche, Volumen und Oberfläche mit Integralen.",
        "learning": "Starker persönlicher Bezug zu Tongefäßen und kulturellem Hintergrund; gut für Riemann-Summen, Rotationskörper und Modellgrenzen.",
        "caution": "Die Webvorschau ist frei sichtbar; für PDF-Download oder bestimmte Funktionen kann eine Anmeldung verlangt werden.",
        "topics": [
          "Integration",
          "Rotationskörper",
          "Tongefäß"
        ]
      },
      "en": {
        "summary": "Mathematics AA HL IA on measuring a clay pot and finding its area, volume and surface area using integration.",
        "learning": "Strong personal connection to clay pots and cultural background; useful for Riemann sums, solids of revolution and model limitations.",
        "caution": "The web preview is publicly visible; an account may be required for PDF download or some features.",
        "topics": [
          "Integration",
          "Solids of revolution",
          "Clay pot"
        ]
      },
      "pages": 23,
      "session": "2021",
      "link_status": "ok"
    },
    {
      "id": "academia-dog-barks-fourier",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "aa"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "html",
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Academia.edu",
      "access": "free_preview_account_download",
      "url": "https://www.academia.edu/56076753/IB_Mathematics_Extended_Essay_Decoding_Dogs_Barks_with_Fourier_Analysis_Grade_Received_B",
      "original_title": "Decoding Dogs’ Barks with Fourier Analysis",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics AA HL EE über die Fourier-Analyse selbst aufgenommener Hundebellen und die mathematische Beschreibung ihrer Frequenzanteile.",
        "learning": "Sehr anschauliches Beispiel für eigene Daten, persönlichen Bezug, Signalverarbeitung und die Verbindung von Theorie und Audioanalyse.",
        "caution": "Die Note wird im Seitentitel der Plattform genannt und ist nicht als offizielle IB-Veröffentlichung verifiziert. Download kann Anmeldung erfordern.",
        "topics": [
          "Fourier-Analyse",
          "Audio",
          "Hunde"
        ]
      },
      "en": {
        "summary": "Mathematics AA HL EE using Fourier analysis on personally recorded dog barks to describe their frequency components.",
        "learning": "A vivid example of own data, personal engagement, signal processing and connecting theory with audio analysis.",
        "caution": "The grade is stated in the platform page title and is not verified as an official IB publication. Download may require sign-in.",
        "topics": [
          "Fourier analysis",
          "Audio",
          "Dogs"
        ]
      },
      "pages": 36,
      "score": {
        "label": "B",
        "provenance": "platform_stated"
      },
      "link_status": "ok"
    },
    {
      "id": "academia-3d-animation",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "html",
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Academia.edu",
      "access": "free_preview_account_download",
      "url": "https://www.academia.edu/56075534/IB_Mathematics_AA_HL_Internal_Assessment_Mathematical_Algorithms_Behind_3D_Animations_Grade_Received_7",
      "original_title": "Mathematical Algorithms Behind 3D Animations",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics AA HL IA über Catmull-Clark-Subdivision und mathematische Algorithmen hinter glatten 3D-Modellen.",
        "learning": "Der persönliche Bezug zu Film und Animation führt zu einer klaren Untersuchung eines konkreten Algorithmus statt eines allgemeinen Überblicks.",
        "caution": "Die Note wird von der Plattform beziehungsweise im Seitentitel angegeben; sie ist keine von PreLearning bestätigte offizielle Bewertung. Download kann Anmeldung erfordern.",
        "topics": [
          "3D-Animation",
          "Subdivision",
          "Algorithmen"
        ]
      },
      "en": {
        "summary": "Mathematics AA HL IA on Catmull–Clark subdivision and mathematical algorithms behind smooth 3D models.",
        "learning": "A personal connection to film and animation leads to a focused investigation of one algorithm rather than a broad survey.",
        "caution": "The grade is stated by the platform or in the page title; it is not an official grade independently verified by PreLearning. Download may require sign-in.",
        "topics": [
          "3D animation",
          "Subdivision",
          "Algorithms"
        ]
      },
      "pages": 20,
      "score": {
        "label": "7",
        "provenance": "platform_stated"
      },
      "link_status": "ok"
    },
    {
      "id": "nailib-cricket-height",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "ai"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ia-sample/ib-math-ai-sl/64b629435dd8ae375cf6bbd7",
      "original_title": "Relationship between a batsman’s height and strike rate in cricket",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Math AI SL IA über den statistischen Zusammenhang zwischen Körpergröße und Strike Rate von Cricket-Schlagmännern.",
        "learning": "Gut geeignet, um Datenquellen, Streudiagramme, Korrelation und die Grenzen einer zweivariaten Untersuchung zu prüfen.",
        "caution": "Der Anbieter bezeichnet die Beispiele als kostenlos und ohne Registrierung zugänglich; Funktionen und Zugangsbedingungen können sich ändern.",
        "topics": [
          "Cricket",
          "Korrelation",
          "Statistik"
        ]
      },
      "en": {
        "summary": "Math AI SL IA on the statistical relationship between batsmen’s height and cricket strike rate.",
        "learning": "Useful for studying data sources, scatter plots, correlation and the limits of a bivariate investigation.",
        "caution": "The provider describes the examples as free and accessible without registration; features and access conditions may change.",
        "topics": [
          "Cricket",
          "Correlation",
          "Statistics"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "nailib-sat-income",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "ai"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ia-sample/ib-math-ai-sl/64b75730579bc83f7df2d4f3",
      "original_title": "Relationship between SAT scores and family income",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Math AI SL IA zum Zusammenhang zwischen SAT-Ergebnissen und Familieneinkommen anhand öffentlicher Daten.",
        "learning": "Hilfreich für soziale Kontextualisierung, Korrelation, mögliche Störvariablen und vorsichtige Interpretation.",
        "caution": "Anbieterangabe: kostenlos ohne Registrierung. Zugangsbedingungen können sich ändern.",
        "topics": [
          "Bildung",
          "Einkommen",
          "Korrelation"
        ]
      },
      "en": {
        "summary": "Math AI SL IA on the relationship between SAT scores and family income using public data.",
        "learning": "Helpful for social context, correlation, possible confounding variables and careful interpretation.",
        "caution": "Provider claim: free without registration. Access conditions may change.",
        "topics": [
          "Education",
          "Income",
          "Correlation"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "nailib-pyramid-golden-ratio",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ia-sample/ib-math-aa-sl/649281e0e9d4026cd46698c2",
      "original_title": "The golden ratio in the Great Pyramid of Giza",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Math AA SL IA über mögliche Verhältnisse in den Abmessungen der Großen Pyramide und deren Vergleich mit dem Goldenen Schnitt.",
        "learning": "Nützlich, um Messunsicherheit, Quellenunterschiede und die Gefahr nachträglicher Mustererkennung kritisch zu betrachten.",
        "caution": "Anbieterangabe: kostenlos ohne Registrierung. Historische Maßangaben sollten aus belastbaren Quellen geprüft werden.",
        "topics": [
          "Goldener Schnitt",
          "Pyramide",
          "Geometrie"
        ]
      },
      "en": {
        "summary": "Math AA SL IA on possible ratios in the Great Pyramid’s dimensions and their comparison with the golden ratio.",
        "learning": "Useful for critically considering measurement uncertainty, source differences and retrospective pattern matching.",
        "caution": "Provider claim: free without registration. Historical measurements should be checked against reliable sources.",
        "topics": [
          "Golden ratio",
          "Pyramid",
          "Geometry"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "nailib-chess-engines-ee",
      "kind": "work",
      "assessment": "ee",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ee-sample/ib-math-aa-sl/665acd86cb06de49d3d38730",
      "original_title": "Mathematics behind chess engines: game theory, vectors and algorithms",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Mathematics EE über mathematische Ideen hinter Schachprogrammen, unter anderem Spielbäume, Vektoren und Algorithmen.",
        "learning": "Zeigt Chancen und Risiken interdisziplinärer Themen: Informatik darf die eigentliche mathematische Argumentation nicht verdrängen.",
        "caution": "Anbieterangabe: kostenlos ohne Registrierung. Kurs- und Bewertungsangaben stammen von der Plattform.",
        "topics": [
          "Schach",
          "Algorithmen",
          "Spieltheorie"
        ]
      },
      "en": {
        "summary": "Mathematics EE on mathematical ideas behind chess engines, including game trees, vectors and algorithms.",
        "learning": "Shows the opportunities and risks of interdisciplinary topics: computing must not replace the mathematical argument.",
        "caution": "Provider claim: free without registration. Course and assessment labels are supplied by the platform.",
        "topics": [
          "Chess",
          "Algorithms",
          "Game theory"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "nailib-knights-tour",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ia-sample/ib-math-aa-hl/66595ea9bb636705cbdfbed4",
      "original_title": "Closed knight’s tours on 3 × 2k chess boards",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Math AA HL IA zu geschlossenen Springerwegen auf 3 × 2k-Schachbrettern und deren diskreter Struktur.",
        "learning": "Interessant für Muster, Graphentheorie, Fallunterscheidungen und mögliche Verallgemeinerungen.",
        "caution": "Anbieterangabe: kostenlos ohne Registrierung. Die mathematische Beweislast sollte besonders kritisch geprüft werden.",
        "topics": [
          "Springerproblem",
          "Graphentheorie",
          "Kombinatorik"
        ]
      },
      "en": {
        "summary": "Math AA HL IA on closed knight’s tours on 3 × 2k chessboards and their discrete structure.",
        "learning": "Useful for patterns, graph theory, case analysis and possible generalisations.",
        "caution": "Provider claim: free without registration. The mathematical proof burden should be examined particularly carefully.",
        "topics": [
          "Knight’s tour",
          "Graph theory",
          "Combinatorics"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "nailib-chernobyl-decay",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "ai"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ia-sample/ib-math-ai-hl/66409cb4a750bbe796462461",
      "original_title": "Modelling radioactive decay after Chernobyl",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Math AI HL IA zur Modellierung radioaktiven Zerfalls im Kontext von Tschernobyl mit exponentiellen Modellen und realen Daten.",
        "learning": "Geeignet für Halbwertszeit, Parameteranpassung, Datenqualität und die Grenzen eines vereinfachten Zerfallsmodells.",
        "caution": "Anbieterangabe: kostenlos ohne Registrierung. Naturwissenschaftliche Aussagen müssen aus zuverlässigen Primärquellen belegt werden.",
        "topics": [
          "Radioaktiver Zerfall",
          "Exponentialfunktion",
          "Datenmodell"
        ]
      },
      "en": {
        "summary": "Math AI HL IA modelling radioactive decay in the context of Chernobyl with exponential models and real data.",
        "learning": "Useful for half-life, parameter fitting, data quality and limitations of a simplified decay model.",
        "caution": "Provider claim: free without registration. Scientific claims should be supported by reliable primary sources.",
        "topics": [
          "Radioactive decay",
          "Exponential function",
          "Data model"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-official-ib-assessed",
      "kind": "collection",
      "assessment": "both",
      "courses": [
        "math"
      ],
      "levels": [],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "official_ib",
      "source_name": "International Baccalaureate",
      "access": "free_no_account",
      "url": "https://ibpublishing.ibo.org/extendedessay/apps/dpapp/assessment.html?chapter=1&doc=d_0_eeyyy_gui_1602_1_e&part=1",
      "original_title": "Official IB Mathematics EE assessed student work",
      "has_examiner_commentary": true,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Offizielle IB-Übersicht mit authentischen, bewerteten Extended-Essay-Beispielen und Prüferkommentaren; Mathematics kann in der Fachnavigation ausgewählt werden.",
        "learning": "Erste Wahl für die Analyse offizieller Bewertungskommentare und historischer Standards.",
        "caution": "",
        "topics": [
          "offizielle Beispiele",
          "Prüferkommentar"
        ]
      },
      "en": {
        "summary": "Official IB overview of authentic assessed Extended Essay work with examiner commentary; Mathematics can be selected in the subject navigation.",
        "learning": "The first place to study official assessment commentary and legacy standards.",
        "caution": "",
        "topics": [
          "official examples",
          "examiner commentary"
        ]
      },
      "link_status": "ok",
      "active": true,
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-peda-maths",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "legacy",
        "aa"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf",
        "html"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Joensuun lyseon lukio · Peda.net",
      "access": "free_no_account",
      "url": "https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics",
      "original_title": "Peda.net IB Mathematics exploration collection",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "mixed",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Öffentliche Schulbibliothek mit mehreren HL- und SL-Explorationen sowie einigen neueren AA-Arbeiten.",
        "learning": "Sehr gut zum direkten Vergleich von Umfang, Themenwahl, persönlichem Bezug und mathematischer Tiefe.",
        "caution": "",
        "topics": [
          "Schulbibliothek",
          "IA-Sammlung"
        ]
      },
      "en": {
        "summary": "Public school library with multiple HL and SL explorations plus some newer AA work.",
        "learning": "Useful for directly comparing length, topic choice, personal engagement and mathematical depth.",
        "caution": "",
        "topics": [
          "School library",
          "IA collection"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-weebly-ia",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "pdf",
        "docx"
      ],
      "document_language": "en",
      "source_tier": "teacher_mirror",
      "source_name": "IB DP Mathematics SL · Weebly",
      "access": "free_no_account",
      "url": "https://kimkimsl.weebly.com/internal-assessment.html",
      "original_title": "Nine sample IAs with annotations and assessment files",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Historische Sammlung mit neun Beispielarbeiten sowie jeweils getrennten Annotationen und Bewertungsdateien; zusätzlich weitere Einzelbeispiele.",
        "learning": "Besonders nützlich, weil Originalarbeit, Annotation und Bewertung nebeneinander gelesen werden können.",
        "caution": "Drittanbieter-Mirror einer älteren Regelversion. Bewertung und Kriterien nicht ungeprüft auf aktuelle AA/AI-Arbeiten übertragen.",
        "topics": [
          "Annotationen",
          "Bewertungen",
          "neun Beispiele"
        ]
      },
      "en": {
        "summary": "Historical collection of nine sample papers with separate annotations and assessment files, plus further individual examples.",
        "learning": "Especially useful because the original work, annotations and assessment can be read side by side.",
        "caution": "Third-party mirror of a legacy curriculum. Do not transfer its assessment and criteria uncritically to current AA/AI work.",
        "topics": [
          "Annotations",
          "Assessments",
          "nine examples"
        ]
      },
      "link_status": "ok",
      "http_status": 206,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-clastify-aa",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Clastify",
      "access": "account_premium",
      "url": "https://www.clastify.com/ia/math-aa",
      "original_title": "Clastify Mathematics AA IA examples",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Filterbare Sammlung von Mathematics-AA-IA-Titeln und Metadaten; öffentliche Vorschau, vollständiger Zugriff kann Konto oder Premium erfordern.",
        "learning": "Gut zum schnellen Vergleich vieler Forschungsfragen, Kursstufen und angegebener Bewertungen.",
        "caution": "Die Plattform ist kommerziell. Angaben und Bewertungen stammen von Clastify; vollständige Dokumente sind nicht generell kostenlos.",
        "topics": [
          "AA",
          "filterbare Sammlung"
        ]
      },
      "en": {
        "summary": "Filterable collection of Mathematics AA IA titles and metadata; public preview, while full access may require an account or Premium.",
        "learning": "Useful for quickly comparing many research questions, levels and stated grades.",
        "caution": "This is a commercial platform. Labels and grades are supplied by Clastify; full documents are not generally free.",
        "topics": [
          "AA",
          "filterable collection"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-clastify-ai",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "ai"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Clastify",
      "access": "account_premium",
      "url": "https://www.clastify.com/ia/math-ai",
      "original_title": "Clastify Mathematics AI IA examples",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Filterbare Sammlung von Mathematics-AI-IA-Beispielen mit sichtbaren Titeln und Basisdaten; voller Zugriff kann Premium voraussetzen.",
        "learning": "Hilfreich für Themen mit Statistik, Modellierung und Technologieeinsatz in AI SL und HL.",
        "caution": "Kommerzielle Plattform; Zugang und Preise können sich ändern.",
        "topics": [
          "AI",
          "Statistik",
          "Modellierung"
        ]
      },
      "en": {
        "summary": "Filterable collection of Mathematics AI IA examples with visible titles and basic metadata; full access may require Premium.",
        "learning": "Helpful for topics involving statistics, modelling and technology in AI SL and HL.",
        "caution": "Commercial platform; access and pricing may change.",
        "topics": [
          "AI",
          "Statistics",
          "Modelling"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-clastify-ee",
      "kind": "collection",
      "assessment": "ee",
      "courses": [
        "math",
        "aa",
        "ai"
      ],
      "levels": [],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Clastify",
      "access": "account_premium",
      "url": "https://www.clastify.com/ee/maths",
      "original_title": "Clastify Mathematics Extended Essay examples",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "mixed",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Sammlung von Mathematics-EE-Titeln, Themen und Bewertungen; Vorschauen sind sichtbar, vollständiger Zugriff kann Premium erfordern.",
        "learning": "Nützlich zur Einschätzung der Bandbreite real eingereichter Forschungsfragen, aber nicht als offizielle IB-Sammlung zu behandeln.",
        "caution": "Kommerzielle Drittanbieterplattform; Noten und Authentizität sind nicht von PreLearning oder dem IB bestätigt.",
        "topics": [
          "EE-Sammlung",
          "Forschungsfragen"
        ]
      },
      "en": {
        "summary": "Collection of Mathematics EE titles, topics and grades; previews are visible, while full access may require Premium.",
        "learning": "Useful for estimating the range of submitted research questions, but it is not an official IB collection.",
        "caution": "Commercial third-party platform; grades and authenticity are not verified by PreLearning or the IB.",
        "topics": [
          "EE collection",
          "Research questions"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-revisiondojo-aa",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "aa"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "RevisionDojo",
      "access": "account_premium",
      "url": "https://www.revisiondojo.com/coursework-exemplars/maths-aa-ia",
      "original_title": "RevisionDojo Maths AA IA examples",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Themenseite mit Mathematics-AA-IA-Beispielen, Kriterienhinweisen und weiterführenden Lernfunktionen.",
        "learning": "Hilfreich, um Beispielthemen mit einer kriteriumsbezogenen Erklärung zu verbinden.",
        "caution": "Anmeldung ist vorgesehen; die Seite verlinkt Preispläne. Umfang kostenloser und kostenpflichtiger Funktionen kann sich ändern.",
        "topics": [
          "AA",
          "Kriterienhinweise"
        ]
      },
      "en": {
        "summary": "Subject page with Mathematics AA IA examples, criterion guidance and further study features.",
        "learning": "Useful for connecting example topics with criterion-based explanations.",
        "caution": "The platform offers sign-up and pricing plans. The balance of free and paid features may change.",
        "topics": [
          "AA",
          "criterion guidance"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-revisiondojo-ai",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "ai"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "RevisionDojo",
      "access": "account_premium",
      "url": "https://www.revisiondojo.com/coursework-exemplars/maths-ai-ia",
      "original_title": "RevisionDojo Maths AI IA examples",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Themenseite mit Mathematics-AI-IA-Beispielen und begleitenden Erklärungen zu Aufbau und Kriterien.",
        "learning": "Hilfreich für die Verbindung von Datenanalyse, Modellierung und erwarteter schriftlicher Darstellung.",
        "caution": "Anmeldung und kostenpflichtige Pläne sind vorhanden; Zugangsbedingungen können variieren.",
        "topics": [
          "AI",
          "Datenanalyse",
          "Kriterien"
        ]
      },
      "en": {
        "summary": "Subject page with Mathematics AI IA examples and supporting explanations of structure and criteria.",
        "learning": "Useful for connecting data analysis and modelling with expected written communication.",
        "caution": "Sign-up and paid plans are available; access conditions may vary.",
        "topics": [
          "AI",
          "Data analysis",
          "Criteria"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-nailib",
      "kind": "collection",
      "assessment": "both",
      "courses": [
        "aa",
        "ai"
      ],
      "levels": [
        "sl",
        "hl"
      ],
      "formats": [
        "html"
      ],
      "document_language": "en",
      "source_tier": "platform",
      "source_name": "Nail IB",
      "access": "free_no_account_provider_claim",
      "url": "https://nailib.com/ia-sample",
      "original_title": "Nail IB Mathematics IA and EE sample library",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "aa_ai_2021",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Große HTML-Sammlung mit Mathematics AA/AI IA- und EE-Beispielen für SL und HL.",
        "learning": "Praktisch, um viele aktuelle Kursbezeichnungen und Themenrichtungen schnell zu durchsuchen.",
        "caution": "Der Anbieter wirbt mit kostenlosem Zugang ohne Registrierung. PreLearning kann zukünftige Änderungen der Plattform nicht garantieren.",
        "topics": [
          "AA",
          "AI",
          "IA und EE"
        ]
      },
      "en": {
        "summary": "Large HTML collection of Mathematics AA/AI IA and EE examples for SL and HL.",
        "learning": "Practical for quickly browsing many current course labels and topic directions.",
        "caution": "The provider advertises free access without registration. PreLearning cannot guarantee future platform changes.",
        "topics": [
          "AA",
          "AI",
          "IA and EE"
        ]
      },
      "link_status": "ok",
      "http_status": 403,
      "detected_content_type": "text/html"
    },
    {
      "id": "science-codex-watch-luminosity-ia",
      "kind": "work",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "hl"
      ],
      "formats": [
        "pdf",
        "html"
      ],
      "document_language": "en",
      "source_tier": "author_published",
      "source_name": "The Science Codex · Ardon Pillay",
      "access": "free_no_account",
      "url": "https://thesciencecodex.wordpress.com/hl-mathematics-ia-1820/",
      "original_title": "Modelling the decrease in luminosity of three watches and comparing value for money",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "score": {
        "label": "18/20",
        "provenance": "author_stated"
      },
      "de": {
        "summary": "Vom Autor veröffentlichte ältere HL-Mathematik-IA zur Abnahme der Leuchtstärke von drei Uhren und zum Vergleich ihres Preis-Leistungs-Verhältnisses. Die Seite verlinkt die vollständige PDF-Arbeit.",
        "learning": "Besonders aufschlussreich, weil der Autor offen erklärt, dass ein Punkt bei mathematischer Verwendung und ein Punkt bei Kommunikation verloren ging. So lassen sich Modellierung, t-Test, Umfang und Prägnanz gemeinsam beurteilen.",
        "caution": "Die Punktzahl 18/20 ist eine Angabe des Autors. Die Arbeit gehört zu einer älteren Mathematik-Regelversion und ist laut Autor deutlich länger als die damals empfohlene Länge.",
        "topics": [
          "Modellierung",
          "Leuchtstärke",
          "t-Test"
        ]
      },
      "en": {
        "summary": "Author-published legacy HL Mathematics IA on the decrease in luminosity of three watches and their value for money. The page links to the complete PDF.",
        "learning": "Especially useful because the author explains that one mark was lost for use of mathematics and one for communication, allowing modelling, a t-test, length and concision to be considered together.",
        "caution": "The 18/20 score is author-stated. The work belongs to a legacy Mathematics curriculum and, according to the author, is substantially longer than the recommended length at the time.",
        "topics": [
          "Modelling",
          "Luminosity",
          "t-test"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    },
    {
      "id": "collection-ferguson-math-studies-ia",
      "kind": "collection",
      "assessment": "ia",
      "courses": [
        "legacy"
      ],
      "levels": [
        "sl"
      ],
      "formats": [
        "html",
        "docx",
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "John A. Ferguson Senior High School · Jeannette Alvarez",
      "access": "free_no_account",
      "url": "https://fergusonhs.org/apps/pages/index.jsp?pREC_ID=620599&termREC_ID=&type=u&uREC_ID=395447",
      "original_title": "IB Math Studies Internal Assessment samples with points and grader comments",
      "has_examiner_commentary": false,
      "has_annotations": true,
      "curriculum_version": "legacy_math_exploration",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Öffentliche Schulseite mit mehreren älteren Math-Studies-IA-Beispielen, vergebenen Punkten, Kommentaren von Bewertenden, einer Rubrik und Beispiel-Einleitungen.",
        "learning": "Hilfreich, um bewusst starke und schwächere Arbeiten nebeneinander zu vergleichen und zu sehen, wie Forschungsbedeutung, Datenerhebung, mathematische Verfahren und vorläufige Schlussfolgerungen geplant wurden.",
        "caution": "Die Materialien stammen aus dem früheren Math-Studies-Kurs. Sie sind nicht mit den aktuellen AA-/AI-Kriterien gleichzusetzen und dienen nur zur historischen Analyse von Aufbau und Rückmeldung.",
        "topics": [
          "Math Studies",
          "Bewertungskommentare",
          "Einleitungen"
        ]
      },
      "en": {
        "summary": "Public school page with several legacy Math Studies IA samples, awarded points, grader comments, a rubric and sample introductions.",
        "learning": "Useful for comparing stronger and weaker work and for seeing how significance, data collection, mathematical processes and preliminary conclusions were planned.",
        "caution": "The materials come from the former Math Studies course. They are not equivalent to current AA/AI criteria and should be used only to analyse structure and feedback historically.",
        "topics": [
          "Math Studies",
          "Grader comments",
          "Introductions"
        ]
      },
      "link_status": "ok"
    },
    {
      "id": "collection-sis-china-math-ee",
      "kind": "collection",
      "assessment": "ee",
      "courses": [
        "math"
      ],
      "levels": [],
      "formats": [
        "html",
        "pdf"
      ],
      "document_language": "en",
      "source_tier": "school_hosted",
      "source_name": "Singapore International School Library · LibGuides",
      "access": "free_no_account",
      "url": "https://sis-cn.libguides.com/c.php?g=723698&p=5424789",
      "original_title": "Mathematics Extended Essay past essays: examples 1–6",
      "has_examiner_commentary": false,
      "has_annotations": false,
      "curriculum_version": "legacy_ee_guide",
      "last_checked": "2026-09-21",
      "de": {
        "summary": "Schulbibliotheksseite mit sechs verlinkten Mathematics-EE-Beispielen innerhalb einer fachübergreifenden Sammlung früherer Extended Essays.",
        "learning": "Nützlich, um mehrere vollständige Mathematics EEs nacheinander zu öffnen und Forschungsfrage, Umfang, mathematische Tiefe und Quellenarbeit direkt zu vergleichen.",
        "caution": "Die Seite ist eine schulische Sammlung und keine offizielle IB-Bewertungsübersicht. Bewertung, Entstehungsjahr und genaue Regelversion sind nicht für jedes Dokument eindeutig ausgewiesen.",
        "topics": [
          "EE-Sammlung",
          "Schulbibliothek",
          "sechs Beispiele"
        ]
      },
      "en": {
        "summary": "School-library page linking six Mathematics EE examples within a wider collection of past Extended Essays.",
        "learning": "Useful for opening several complete Mathematics EEs in sequence and directly comparing research questions, length, mathematical depth and use of sources.",
        "caution": "This is a school collection rather than an official IB assessment page. The grade, year and precise curriculum version are not clearly stated for every document.",
        "topics": [
          "EE collection",
          "School library",
          "six examples"
        ]
      },
      "link_status": "ok",
      "http_status": 200,
      "detected_content_type": "text/html"
    }
  ]
}
