20 Amazing Mathematics IA Ideas to ace your IBDP

One fact about students hating Mathematics is considering it boring, Usually, IB students view Maths as an inappropriate subject so they strive hard to understand all those equations and formulas. Hard as a subject itself, some of the students even find confusing how to pick a good Mathematics IA topic?

But, Blen got you!

We have assembled 20 best Maths IA topics to make things easy for you.

Algebra

  • Pythagorean triples: Find out three numbers that can form a Pythagorean triple.
  • Pascal's Triangle: Discover pattern by using Pascal's triangle array of numbers.

Probability and Number Theory 

  • Chinese Remainder Theorem: Determine the remainder of the division of n by the product of integer values.
  • Birthday problem: Find the probability of how many people share the same birthday if placed in the same room?
  • Monty Hall problem: Explore how Baye’s rule is used in real life as in given problem.
  • Probability: Find out how Oxford and Cambridge are biased towards state-school applicants?

Modelling

  • Traffic flow: How do mathematical applications work in traffic jams?
  • Radioactive decay modelling: How long Chernobyl will take to become safe for a living?
  • Modelling: Can musical notes or dissonance be mathematically modeled?
  • Egg shape modelling: Calculate the surface area and volume of an egg by mathematical applications.
  • Virus spreading: Find out how long will it take for the whole world to wipe out if a deadly virus breaks out?
  • Modelling: How does tea in the cup cool down?

Series and Sequences

  • Prove that the sum of all positive integers is -1/12 through series and sequences.

Integration and Derivation

  • Gini coefficient: Derive Gini coefficient for some countries using integration approach, if explicitly compared their level of economic inequality.

Optimization Strategy

  • Area Optimization: Use strategies to optimize the area of a polygon.
  • Volume Optimization: Find the maximum volume of a cuboid to some constraint.
  • Stacking Balls: Let's assume you want to place balls on cardboard, what is the optimal method to use the space effectively? 
  • Wobbly Tables: Due to uneven grounds mostly tables are wobbly; can you find a way of orienting tables to make them stable?
  • Prisoner's dilemma problem: By using game theory deduce the optimal strategy for the prisoner's dilemma.
  • Tic Tac Toe: Find the optimal strategy used in this game, does your probability of winning boost up by some move?

Disclaimer:
Topics suggested in this article are only for the motivational purpose and to give students some ideas of how they can link some real-world investigations with IB Maths internal assessment to secure a good grade. 

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