510 topic ideas for the Mathematics IA and Extended Essay – page 21.
25 topics per page for faster mobile loading; search and filters cover all 510 ideas.
Topic ideas 501 to 510 of 510.
Every title is followed by two sentences explaining the investigation and possible use of differential calculus, integral calculus, statistics or probability. When used, search and filters automatically cover the complete catalogue.
| No. | Topic idea | A | C | P | M | S |
|---|---|---|---|---|---|---|
| 501 | Smartphone data & technologyCharging power and the smartphone charging-time curve from 0 to 100 per cent The investigation explores how “Charging power and the smartphone charging-time curve from 0 to 100 per cent” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 502 | Smartphone data & technologyCharge cycles and measurable decline in battery capacity The investigation explores how “Charge cycles and measurable decline in battery capacity” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 503 | Smartphone data & technologySmartphone price and actual service life across models The investigation explores how “Smartphone price and actual service life across models” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 504 | Smartphone data & technologySmartphone sales as a function of price and feature set The investigation explores how “Smartphone sales as a function of price and feature set” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 505 | Smartphone data & technologyDaily phone-use duration and sleep duration in an anonymised survey The investigation explores how “Daily phone-use duration and sleep duration in an anonymised survey” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 506 | Smartphone data & technologyDistribution of usage time across app categories The investigation explores how “Distribution of usage time across app categories” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 507 | Smartphone data & technologyScreen time, processor load and battery temperature The investigation explores how “Screen time, processor load and battery temperature” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 508 | Smartphone data & technologySmartphone GPS accuracy in urban, wooded and open environments The investigation explores how “Smartphone GPS accuracy in urban, wooded and open environments” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 509 | Smartphone data & technologySmartphone camera resolution, file size and processing time The investigation explores how “Smartphone camera resolution, file size and processing time” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
| 510 | Smartphone data & technologyDevice age and launch time of selected apps The investigation explores how “Device age and launch time of selected apps” can be described and compared quantitatively using original measurements or suitable open data. Statistics and probability can test relationships, variation and uncertainty, while differential calculus and integral calculus can extend trend models through rates of change or cumulative effects. Differential calculus · Integral calculus · Statistics · Probability |
3 | 9 | 1571112 | 56781314 | 0 |
No topic ideas match this combination.
What A, C, P, M and S mean.
The table stays narrow on a phone by replacing long descriptions with numeric codes. Entries may contain several P and M codes.
AAssessment type
- 1
- Internal Assessment (IA)
- 2
- Mathematics Extended Essay (EE)
- 3
- Potentially suitable for an IA or EE, depending on focus and mathematical depth
CCourse and level
- 1
- Mathematics AA SL
- 2
- Mathematics AA HL
- 3
- Mathematics AA at SL or HL
- 4
- Mathematics AI SL
- 5
- Mathematics AI HL
- 6
- Mathematics AI at SL or HL
- 7
- Mathematics AA or AI at SL
- 8
- Mathematics AA or AI at HL
- 9
- Mathematics AA or AI at SL or HL
PWays to demonstrate independent direction and personal engagement
- 1
- Own data, measurements, observations or experiment
- 2
- Own photographs, drawings, constructions or models
- 3
- Own sport, video, GPS or tracker context
- 4
- Own school or class survey or observation
- 5
- Own everyday, household, consumer or financial data
- 6
- Local context: environment, buildings, traffic, climate or nature
- 7
- Own programming, simulation or algorithm
- 8
- Personal interest: music, art, games, design or another hobby
- 9
- Public data selected, prepared and analysed independently
- 10
- Own conjecture, proof idea, generalisation or theoretical comparison
- 11
- Own modelling decision, construction, optimisation or adaptation
- 12
- Critical comparison of assumptions, errors, limitations or ethical issues
MMeasuring instruments, tools or data access
- 0
- No specialist physical instrument; a calculator, CAS, spreadsheet or open data may be sufficient
- 1
- Ruler, tape measure, calliper or protractor
- 2
- Balance or precision scale
- 3
- Contact thermometer or temperature data logger
- 4
- Infrared thermometer or thermal camera
- 5
- Multimeter or another electrical measuring instrument
- 6
- Stopwatch or timer
- 7
- Camera or smartphone for photographic and video analysis
- 8
- GPS device or fitness tracker
- 9
- Microphone, sound-level meter or audio-analysis software
- 10
- Light meter, light sensor or solar sensor
- 11
- Conductivity, pH or salinity meter
- 12
- Weather instruments, such as an anemometer or rain gauge
- 13
- Computer, spreadsheet, CAS, GeoGebra, Desmos or Python
- 14
- Survey form, data sheet or observation record
- 15
- Force sensor or spring balance
- 16
- Laboratory glassware, measuring cylinder or pipette
- 17
- Telescope, binoculars or a suitable camera
- 18
- Humidity or material-moisture sensor
- 19
- Non-invasive physiology sensor, such as heart-rate or reaction-time measurement
- 20
- Physical model, 3D printer or material samples
- 21
- Specialist school laboratory equipment
SSafety and data protection
- 0
- Likely to be low risk within normal school practice
- 1
- Supervision recommended, for example for heat, electricity, sport or traffic observation
- 2
- Carry out only in a school laboratory or with qualified supervision
- 3
- Sensitive personal or health data: consent, anonymisation and preferably secondary data; no medical self-intervention
Turn an idea into an independent investigation.
Guidance on focus, independent direction, safety and data use is provided on the first page of the topic list.