# IB Mathematics IA and EE example-work library

Canonical HTML: https://www.prelearning.de/en/ib-mathematics-example-work/
Updated: 2026-09-21
Entries: 50

## 1. The use of hyperbolic cosine function in catenary bridge structure
- Kind: work
- Assessment: ee
- Course: legacy
- Level: not stated
- Source: International Baccalaureate (official_ib)
- Access: free_no_account
- Format: html
- 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 value: Useful for studying how a real structure is translated into a mathematical model and then evaluated critically.
- Caution: -
- 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

## 2. Line Stitching and Area: How to find the area underneath a polygon
- Kind: work
- Assessment: ee
- Course: legacy
- Level: not stated
- Source: International Baccalaureate (official_ib)
- Access: free_no_account
- Format: html
- Summary: Official legacy Mathematics EE example on line segments, polygons and area, with full examiner commentary.
- Learning value: Shows how a visual construction can be developed step by step into a general mathematical argument.
- Caution: -
- 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

## 3. An Iterative Electoral System
- Kind: work
- Assessment: ee
- Course: legacy
- Level: not stated
- Source: International Baccalaureate (official_ib)
- Access: free_no_account
- Format: html
- Summary: Official legacy Mathematics EE example on an iterative electoral system. The examiner commentary also makes limitations in mathematical depth visible.
- Learning value: Especially useful for analysing not only strengths but also the consequences of insufficient mathematical development.
- Caution: -
- 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

## 4. The Mathematics of Musical Consonance
- Kind: work
- Assessment: ee
- Course: legacy
- Level: not stated
- Source: International Baccalaureate (official_ib)
- Access: free_no_account
- Format: html
- Summary: Official legacy Mathematics EE example connecting frequency ratios, musical intervals and consonance.
- Learning value: Shows how a personal interest in music can be narrowed mathematically and investigated using clearly defined quantities.
- Caution: -
- 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

## 5. Mathematics Extended Essay: Modern Cryptography
- Kind: work
- Assessment: ee
- Course: math
- Level: hl
- Source: GitHub · ansh (author_published)
- Access: free_no_account
- Format: pdf, repository
- Summary: Complete author-published Mathematics EE on modern cryptography, especially RSA and elliptic curves. The repository also contains working files.
- Learning value: 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.
- URL: https://github.com/ansh/Mathematics-Extended-Essay/blob/master/Math_EE.pdf

## 6. A Geometric Explanation for Prime-rich Lines on the Ulam Spiral
- Kind: work
- Assessment: ee
- Course: math
- Level: hl
- Source: GitHub · xujustinj (author_published)
- Access: free_no_account
- Format: pdf, repository
- Summary: Author-published Mathematics EE on the Ulam spiral and prime-rich lines. The repository contains submitted and revised versions plus Java code.
- Learning value: 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.
- URL: https://github.com/xujustinj/Extended-Essay/blob/master/03-01-19%20Version%20%28Revision%29.pdf

## 7. Investigating Optimal Strategies in the Dice Game “Snake Eyes”
- Kind: work
- Assessment: ia
- Course: aa
- Level: hl
- Source: GitHub · km-64 (author_published)
- Access: free_no_account
- Format: pdf, repository
- Summary: Complete Mathematics AA HL IA on optimal strategies in a dice game, combining expected values, probability, simulations and biased dice.
- Learning value: 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.
- URL: https://github.com/km-64/IB-Math-IA/blob/master/internal-assessment.pdf

## 8. Predicting Future Changes in a Publicly Traded Stock Using Historical Data and Methods from Probability
- Kind: work
- Assessment: ia
- Course: aa
- Level: hl
- Source: GitHub · rayhanadev (author_published)
- Access: free_no_account
- Format: pdf, repository
- Summary: Author-published Mathematics AA HL IA modelling historical stock-price movements with Markov chains and conditional probabilities.
- Learning value: 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.
- URL: https://github.com/rayhanadev/math-ia/blob/main/main.pdf

## 9. The Mathematical Generation and Representation of Tessellated Patterns
- Kind: work
- Assessment: ia
- Course: math
- Level: sl, hl
- Source: GitHub · tynanpurdy (author_published)
- Access: free_no_account
- Format: pdf, repository
- Summary: Complete publicly shared IA on the mathematical generation and representation of tessellations; the repository also contains source and rubric files.
- Learning value: Useful for comparing visual mathematics, transformations, symmetry and reproducible digital constructions.
- Caution: -
- URL: https://github.com/tynanpurdy/tessellation/blob/master/latex/tynan-math-ia.pdf

## 10. Extended Essay on RSA and Secure Communication
- Kind: work
- Assessment: ee
- Course: math
- Level: hl
- Source: GitHub · mpardalos (author_published)
- Access: free_no_account
- Format: repository
- Summary: Public repository for a Mathematics EE on RSA, secure communication and the underlying number theory.
- Learning value: 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.
- URL: https://github.com/mpardalos/Extended-Essay

## 11. What makes Euler’s number special?
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: School-hosted HL exploration on the number e, exponential functions, transcendence and Euler’s identity.
- Learning value: Shows how a broad mathematical object can be structured through selected properties.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorations.pdf

## 12. How are Taylor Series Used in Numerically Approximating the Solutions to Trigonometric Functions?
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: HL exploration on approximating trigonometric functions numerically with Taylor series and studying error.
- Learning value: Useful for studying derivation, approximation, graphical comparison and error analysis in a more theoretical IA.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationv.pdf

## 13. Comparison of Zipf’s Law and Zipf Distribution
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: HL exploration comparing Zipf’s law with a probability distribution and discussing empirical patterns mathematically.
- Learning value: Helpful for studying how data, log-log plots and theoretical distributions are connected.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationj.pdf

## 14. Learning in Artificial Neural Networks Using Gradient Descent
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: HL exploration on learning in neural networks using gradient descent, motivated by a personal interest in AI.
- Learning value: Shows how a modern computing topic can be reduced to a clearly defined mathematical method.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationo.pdf

## 15. Finding the total area of a fabric of a dress via integration
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: SL exploration on finding the fabric area of a dress through integration, with a personal connection to fashion and sewing.
- Learning value: A useful example of measuring an everyday object, simplifying it mathematically and reflecting on model accuracy.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/exploratione.pdf

## 16. Volumes of solids of revolutions: volume of a chalice
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: SL exploration on solids of revolution using a chalice, including a hemisphere, parabola, torus and Gabriel’s horn.
- Learning value: Shows how a real vessel can be decomposed, approximated with functions and studied using different volume methods.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/explorationm.pdf

## 17. How is Mathematics used in Web Design?
- Kind: work
- Assessment: ia
- Course: aa
- Level: sl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: Mathematics AA SL IA on Fibonacci proportions, golden spirals, the golden ratio, the rule of thirds and sine waves in web design.
- Learning value: Strong example of personal engagement: an interest in web design is translated into several testable design patterns.
- Caution: -
- 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

## 18. Income inequality: correlation between education and income of men and women in Finland
- Kind: work
- Assessment: ia
- Course: aa
- Level: sl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: Mathematics AA SL IA on the correlation between education and income for men and women in Finland.
- Learning value: Useful for studying data selection, correlation, group comparisons, interpretation and limits on causal claims.
- Caution: -
- 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

## 19. Estimating paths between two points on Earth using small circles, great circles and the spherical law of cosines
- Kind: work
- Assessment: ia
- Course: aa
- Level: sl, hl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: Exploration on estimating distances on Earth using small circles, great circles and the spherical law of cosines, motivated by travel and astronomy.
- Learning value: Shows how coordinates, spherical geometry and different approximations can be compared for the same real question.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/exploration/ia-mathe.pdf

## 20. Relationship between player age and mean goals per game in Finnish women’s soccer leagues
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf
- Summary: Mathematics SL IA on the relationship between player age and mean goals per game in Finnish women’s football leagues.
- Learning value: Useful for analysing public sports data, correlation, regression and a personal connection to football.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics/sample-explorations/ia.pdf

## 21. Breaking the Code
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Cryptography from Caesar and Vigenère ciphers to Enigma and RSA.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example01_e_breaking_the_code.pdf

## 22. Proving Euler’s Totient Theorem
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Short proof-oriented exploration of Euler’s theorem and the totient function.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example02_e.pdf

## 23. Mathematical Exploration: Minesweeper
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Exploration of mathematical patterns and probabilities in Minesweeper.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example03_e.pdf

## 24. Modelling musical chords using sine waves
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Models musical chords as superpositions of sine waves.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example04_e.pdf

## 25. Newton–Raphson method
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Exploration of the Newton–Raphson method for finding roots numerically.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example05_e.pdf

## 26. The Polar Area Diagrams of Florence Nightingale
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Investigates Florence Nightingale’s polar area diagrams and their mathematical construction.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example06_e.pdf

## 27. Modelling Rainfall
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Models rainfall data using functions and statistical methods.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example07_e.pdf

## 28. Spirals in Nature
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Investigates spirals and proportions in selected natural forms.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example08_e.pdf

## 29. Tower of Hanoi
- Kind: work
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf
- Summary: Exploration of the Tower of Hanoi problem using recursion, sequences and generalisation.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/uploads/1/3/4/2/1342434/example09_e.pdf

## 30. Calculating 2D Area, Volume and 3D Surface Area of Pot Using Integrals
- Kind: work
- Assessment: ia
- Course: aa
- Level: hl
- Source: Academia.edu (platform)
- Access: free_preview_account_download
- Format: html, pdf
- Summary: Mathematics AA HL IA on measuring a clay pot and finding its area, volume and surface area using integration.
- Learning value: 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.
- 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

## 31. Decoding Dogs’ Barks with Fourier Analysis
- Kind: work
- Assessment: ee
- Course: aa
- Level: hl
- Source: Academia.edu (platform)
- Access: free_preview_account_download
- Format: html, pdf
- Summary: Mathematics AA HL EE using Fourier analysis on personally recorded dog barks to describe their frequency components.
- Learning value: 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.
- URL: https://www.academia.edu/56076753/IB_Mathematics_Extended_Essay_Decoding_Dogs_Barks_with_Fourier_Analysis_Grade_Received_B

## 32. Mathematical Algorithms Behind 3D Animations
- Kind: work
- Assessment: ia
- Course: aa
- Level: hl
- Source: Academia.edu (platform)
- Access: free_preview_account_download
- Format: html, pdf
- Summary: Mathematics AA HL IA on Catmull–Clark subdivision and mathematical algorithms behind smooth 3D models.
- Learning value: 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.
- URL: https://www.academia.edu/56075534/IB_Mathematics_AA_HL_Internal_Assessment_Mathematical_Algorithms_Behind_3D_Animations_Grade_Received_7

## 33. Relationship between a batsman’s height and strike rate in cricket
- Kind: work
- Assessment: ia
- Course: ai
- Level: sl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Math AI SL IA on the statistical relationship between batsmen’s height and cricket strike rate.
- Learning value: 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.
- URL: https://nailib.com/ia-sample/ib-math-ai-sl/64b629435dd8ae375cf6bbd7

## 34. Relationship between SAT scores and family income
- Kind: work
- Assessment: ia
- Course: ai
- Level: sl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Math AI SL IA on the relationship between SAT scores and family income using public data.
- Learning value: Helpful for social context, correlation, possible confounding variables and careful interpretation.
- Caution: Provider claim: free without registration. Access conditions may change.
- URL: https://nailib.com/ia-sample/ib-math-ai-sl/64b75730579bc83f7df2d4f3

## 35. The golden ratio in the Great Pyramid of Giza
- Kind: work
- Assessment: ia
- Course: aa
- Level: sl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Math AA SL IA on possible ratios in the Great Pyramid’s dimensions and their comparison with the golden ratio.
- Learning value: 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.
- URL: https://nailib.com/ia-sample/ib-math-aa-sl/649281e0e9d4026cd46698c2

## 36. Mathematics behind chess engines: game theory, vectors and algorithms
- Kind: work
- Assessment: ee
- Course: aa
- Level: sl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Mathematics EE on mathematical ideas behind chess engines, including game trees, vectors and algorithms.
- Learning value: 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.
- URL: https://nailib.com/ee-sample/ib-math-aa-sl/665acd86cb06de49d3d38730

## 37. Closed knight’s tours on 3 × 2k chess boards
- Kind: work
- Assessment: ia
- Course: aa
- Level: hl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Math AA HL IA on closed knight’s tours on 3 × 2k chessboards and their discrete structure.
- Learning value: 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.
- URL: https://nailib.com/ia-sample/ib-math-aa-hl/66595ea9bb636705cbdfbed4

## 38. Modelling radioactive decay after Chernobyl
- Kind: work
- Assessment: ia
- Course: ai
- Level: hl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Math AI HL IA modelling radioactive decay in the context of Chernobyl with exponential models and real data.
- Learning value: 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.
- URL: https://nailib.com/ia-sample/ib-math-ai-hl/66409cb4a750bbe796462461

## 39. Official IB Mathematics EE assessed student work
- Kind: collection
- Assessment: both
- Course: math
- Level: not stated
- Source: International Baccalaureate (official_ib)
- Access: free_no_account
- Format: html
- Summary: Official IB overview of authentic assessed Extended Essay work with examiner commentary; Mathematics can be selected in the subject navigation.
- Learning value: The first place to study official assessment commentary and legacy standards.
- Caution: -
- URL: https://ibpublishing.ibo.org/extendedessay/apps/dpapp/assessment.html?chapter=1&doc=d_0_eeyyy_gui_1602_1_e&part=1

## 40. Peda.net IB Mathematics exploration collection
- Kind: collection
- Assessment: ia
- Course: legacy, aa
- Level: sl, hl
- Source: Joensuun lyseon lukio · Peda.net (school_hosted)
- Access: free_no_account
- Format: pdf, html
- Summary: Public school library with multiple HL and SL explorations plus some newer AA work.
- Learning value: Useful for directly comparing length, topic choice, personal engagement and mathematical depth.
- Caution: -
- URL: https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/3-ib-mathematics

## 41. Nine sample IAs with annotations and assessment files
- Kind: collection
- Assessment: ia
- Course: legacy
- Level: sl, hl
- Source: IB DP Mathematics SL · Weebly (teacher_mirror)
- Access: free_no_account
- Format: pdf, docx
- Summary: Historical collection of nine sample papers with separate annotations and assessment files, plus further individual examples.
- Learning value: 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.
- URL: https://kimkimsl.weebly.com/internal-assessment.html

## 42. Clastify Mathematics AA IA examples
- Kind: collection
- Assessment: ia
- Course: aa
- Level: sl, hl
- Source: Clastify (platform)
- Access: account_premium
- Format: html
- Summary: Filterable collection of Mathematics AA IA titles and metadata; public preview, while full access may require an account or Premium.
- Learning value: 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.
- URL: https://www.clastify.com/ia/math-aa

## 43. Clastify Mathematics AI IA examples
- Kind: collection
- Assessment: ia
- Course: ai
- Level: sl, hl
- Source: Clastify (platform)
- Access: account_premium
- Format: html
- Summary: Filterable collection of Mathematics AI IA examples with visible titles and basic metadata; full access may require Premium.
- Learning value: Helpful for topics involving statistics, modelling and technology in AI SL and HL.
- Caution: Commercial platform; access and pricing may change.
- URL: https://www.clastify.com/ia/math-ai

## 44. Clastify Mathematics Extended Essay examples
- Kind: collection
- Assessment: ee
- Course: math, aa, ai
- Level: not stated
- Source: Clastify (platform)
- Access: account_premium
- Format: html
- Summary: Collection of Mathematics EE titles, topics and grades; previews are visible, while full access may require Premium.
- Learning value: 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.
- URL: https://www.clastify.com/ee/maths

## 45. RevisionDojo Maths AA IA examples
- Kind: collection
- Assessment: ia
- Course: aa
- Level: sl, hl
- Source: RevisionDojo (platform)
- Access: account_premium
- Format: html
- Summary: Subject page with Mathematics AA IA examples, criterion guidance and further study features.
- Learning value: 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.
- URL: https://www.revisiondojo.com/coursework-exemplars/maths-aa-ia

## 46. RevisionDojo Maths AI IA examples
- Kind: collection
- Assessment: ia
- Course: ai
- Level: sl, hl
- Source: RevisionDojo (platform)
- Access: account_premium
- Format: html
- Summary: Subject page with Mathematics AI IA examples and supporting explanations of structure and criteria.
- Learning value: Useful for connecting data analysis and modelling with expected written communication.
- Caution: Sign-up and paid plans are available; access conditions may vary.
- URL: https://www.revisiondojo.com/coursework-exemplars/maths-ai-ia

## 47. Nail IB Mathematics IA and EE sample library
- Kind: collection
- Assessment: both
- Course: aa, ai
- Level: sl, hl
- Source: Nail IB (platform)
- Access: free_no_account_provider_claim
- Format: html
- Summary: Large HTML collection of Mathematics AA/AI IA and EE examples for SL and HL.
- Learning value: 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.
- URL: https://nailib.com/ia-sample

## 48. Modelling the decrease in luminosity of three watches and comparing value for money
- Kind: work
- Assessment: ia
- Course: legacy
- Level: hl
- Source: The Science Codex · Ardon Pillay (author_published)
- Access: free_no_account
- Format: pdf, html
- 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 value: 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.
- URL: https://thesciencecodex.wordpress.com/hl-mathematics-ia-1820/

## 49. IB Math Studies Internal Assessment samples with points and grader comments
- Kind: collection
- Assessment: ia
- Course: legacy
- Level: sl
- Source: John A. Ferguson Senior High School · Jeannette Alvarez (school_hosted)
- Access: free_no_account
- Format: html, docx, pdf
- Summary: Public school page with several legacy Math Studies IA samples, awarded points, grader comments, a rubric and sample introductions.
- Learning value: 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.
- URL: https://fergusonhs.org/apps/pages/index.jsp?pREC_ID=620599&termREC_ID=&type=u&uREC_ID=395447

## 50. Mathematics Extended Essay past essays: examples 1–6
- Kind: collection
- Assessment: ee
- Course: math
- Level: not stated
- Source: Singapore International School Library · LibGuides (school_hosted)
- Access: free_no_account
- Format: html, pdf
- Summary: School-library page linking six Mathematics EE examples within a wider collection of past Extended Essays.
- Learning value: 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.
- URL: https://sis-cn.libguides.com/c.php?g=723698&p=5424789