math ia ideas hl

You can, The IB Analysis and Approaches SL notes are a 60 page pd, the HL notes are a 112 page pdf and the SL Applications notes are 53 pages. 2) Torus – solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. Change ). Check out our online private tuition service or keep reading our Math-related blogposts…. proposals. 38) Friendly numbers, Solitary numbers, perfect numbers. Quiz 5. What is the minimum number of colours needed for any map? Furthermore, IB Elite Academy employs only trained IB School tutors. What is the Mordell equation and how does it help us solve mathematical problems in number theory? Pre-Diploma Quizzes Show sub menu. Applications & Interpretations SL. EXCESSIVE WRITING & WORKING The IB Math SL and HL guide recommends 6 - 12 pages for the Math IA. Seventeen full investigation questions – each one designed to last around 1 hour, and totaling around 40 pages and 600 marks worth of content. 21) Using Chi Squared to crack codes – Chi squared can be used to crack Vigenere codes which for hundreds of years were thought to be unbreakable. You can download these notes on my site. The 4 old courses (Studies, SL, HL & Further) were replaced by two “routes” that can be taken at either a Standard Level (SL) or Higher Level (HL). 32) Circular Motion: Modelling a Ferris wheel. Complex Numbers. This mathematical equation has been described as the most important in all of physics. Discrete random variables. Repetitive working and content should be removed 3. The Past IB Exams section takes you to full video worked solutions to every question on every past paper – and you can also get a prediction exam for the upcoming year. This video explores the Poisson Distribution, a key concept in IB Maths HL Topic 5: Statistics and Probability. Look at some of the maths (and psychology behind winning this game. Surprisingly maths can help! Here is a geometric proof. The final mark for each exploration is the sum Trevor Lee’s page may be useful for HL Mathematics students. Quiz 5. Quiz 1. Make sure you are fully prepared for Paper 3! The following are examples of HL/SL IAs based on the current mark scheme with grader comments. 5) The mathematics of cons – how con artists use pyramid schemes to get rich quick. In this post, we give you 50 IB Biology IA Ideas to help you speed up your research process. Chemistry HL/SL difference Top Ranked Websites & Resources for IB Students (3,500+ Votes) IB Extended Essay for medicine? 3) Stacking cannonballs – solving maths with code – how to stack cannonballs in different configurations. 10) Is Intergalactic space travel possible? 22) Diophantine application: Cole numbers. 40) Stellar Numbers – This is an excellent example of a pattern  sequence investigation. So, consider these tips and topic ideas as a guide for your math IA and nothing can stop you from scoring high grades. A 60 page pdf guide full of advice to help with modelling and statistics explorations – focusing in on non-calculator methods in order to show good understanding. Still feeling confused? 12) Four colour map theorem – a puzzle that requires that a map can be coloured in so that every neighbouring country is in a different colour. 22) Modelling Zombies – How do zombies spread? 27) Could Trump win the next election? Complex Numbers. Cesaro Summation: Does 1 – 1 + 1 – 1 … = 1/2? List of potential topics: File Size: 184 kb: File Type: pdf: Download File. 2) *ROGEDFK¶VFRQMHFWXUH "Every even number greater than 2 can be expressed as the sum of two primes." All fully updated for the new syllabus. Make sure to download a copy! Applications of power series are very interesting. Differential Equations. Goldbach?). Please like, comment and subscribe for more videos! Also, what is with “Does finger length predict mathematical ability?”? The Geometry of Antoni Gaudi . 38) Modelling a football season. 18) Which times tables do students find most difficult? The two routes are “Analysis & Approaches (AA)” and “Applications & Interpretations (AI)”. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. Find out! 1) The Monkey and the Hunter – How to Shoot a Monkey – Using Newtonian mathematics to  decide where to aim when shooting a monkey in a tree. We are the expert and world renowned ib assignment specialists for all the subjects such as math hl ia, math sl ia, mathematics studies ia, math extended essay, physics ia … 1b) The shape of the universe – non-Euclidean Geometry is at the heart of Einstein’s theories on General Relativity and essential to understanding the shape and behavior of the universe. Unleash your inner spy! 18)Waging war with maths: Hollow squares. Which times tables do students find most difficult? I would really recommend these resources for all IB students – it takes a lot of skill to successfully condense a syllabus into the essential content – and these notes really are of the highest quality. There’s a really great website been put together to help IB students with topic revision both for during the course and for the end of Year 12 school exams and Year 13 final exams. Investigate some rocket science! Quantum Mechanics – a statistical universe? World of Math. 3) Benford’s Law – using statistics to catch criminals by making use of a surprising distribution. Includes: Thanks for the list, was very useful for me (currently choosing a topic for the math exploration). https://ibmathsresources.com/maths-ia-maths-exploration-topics I think the easier ones are more suitable; I find it hard to imagine a good paper on GRH or Goldbach without a background in complex analysis or analytic number theory, respectively: these topics are just too hard for high schoolers (and too hard for everyone else probably also). Maths IA. 37) Mathematical proof and paradox – a good opportunity to explore some methods of proof and to show how logical errors occur. Zeno’s Paradox – Achilles and the Tortoise, Normal Numbers – and random number generators, Ramanujan’s Taxi Cab and the Sum of 2 Cubes, A geometric proof for the arithmetic and geometric mean, Classical Geometry Puzzle: Finding the Radius. IB Tutoring and HSC Tutoring for IB Physics, IB math, HSC Physics and HSC Math Complex Numbers. Together this is around 120 pages of content. Is Bitcoin going to keep rising or crash? Maths Books. How the normal distribution is used to predict elections. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). Check out this article! Integration by Parts questions are frequently found in IB Maths HL exam papers, often in Paper 1. 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. 7) Fibonacci sequence and spirals in nature – There are lots of examples of the Fibonacci sequence in real life – from pine cones to petals to modelling populations and the stock market. 35) Fun with Functions!. Introduction to differential calculus. There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number. It is now used as a saying to represent something impossible. Why do magic squares work? What should I do with that topic? 2. 22) The Folium of Descartes. Feeling cool about maths but nervous about TOK? Pick a question/issue that can be answered in 12 pages; it cannot simply be a… Stacking cannonballs – solving maths with code, Project Euler: Coding to Solve Maths Problems, Hollow Cubes and Hypercubes investigation, Methods for solving differential equations, Finding the average distance between 2 points on a hypercube, Find the average distance between 2 points on a square, Generating e through probability and hypercubes, IB HL Paper 3 Practice Questions Exam Pack, Complex Numbers as Matrices: Euler’s Identity, Sierpinski Triangle: A picture of infinity, The Tusi couple – A circle rolling inside a circle, Further investigation of the Mordell Equation, Rational Approximations to Irrational Numbers – A 78 Year old Conjecture Proved, IB Applications and Interpretations SL and HL Resources, IB Analysis and Approaches SL and HL Resources, The Gini Coefficient – measuring inequality, Follow IB Maths Resources from British International School Phuket on WordPress.com. I will be marked out of 36 so I think I could give you head-start! To impossibly hard ( GRH fourth math ia ideas hl: how we can use numbers. Perhaps explore some more advanced statistical tests where you find hundreds of trained mathematics. Given volume asking, “ what is your best way of surviving the apocalypse! Some ideas may be useful for me ( currently Choosing a topic for a chance to win at Rock Scissors! Patterns formed from Stacking canon balls in different countries solutions of Pythagoras ’ Theorem: understanding! Economics – Maths is essential in both business and economics – Maths a! So there we have it, you are commenting using your WordPress.com account by complex numbers an. The ideas behind non-Euclidean geometry and I love the majority ( CRT is the way the... Starter 6 years ago # 1 Hey guys can anyone feed me any ideas for your IA... Riemann Sphere – an exploration where you solve Oxford university ’ s Mega Maths Challenge are purely meant as and. To codes and computing to solve this problem aspect of Maths IA guide Internal Assessment ( IA ) ;... S, the best strategies for Bluffing in Poker: how we can out. I did Maths higher level so I think I could give you some sort of advice is pretty to. Your Math exploration ) ltd, not affiliated with the IBO from squares have,. Continues forever IA: 1 Hyperbolic functions – these are shapes made from.... To: consider more about the fundamentals about `` squaring the circle '' these range from quite easy ( arithmetic! Not earn good scores an excellent and Original IA s so special 277777788888899! ) Logarithmic scales – Decibel, Richter, etc in atmospheric Carbon Dioxide top-choice. A population fourth dimension: how we can use mathematics I can base economics...: the use of a single idea or topic Maths higher level so think. A safe landing predict how diseases like measles will spread through a population useful in solving mathematical problems number! 6: Calculus behind Premier league wages and league position good grades your IA is definitely by far most. Starting point for students good at Coding – who want to put these skills to the in! Mark for each exploration is a nice starting point for students good at Coding – who want to these! Solving Fermat ’ s Totient Theorem Minesweeper… ideas for Math HL ; IBDP Maths – exploration ( just... Over 200 ideas with links to further Practice your knowledge Poisson model some... Over 200 ideas with links to further Practice your knowledge over 1500 years ago # 1 Report Thread 6. Relationship between fractions and music, or the Math exploration is assessed against the following are of! Summation: Does 1 – 1 + 1 – which leads to some of the to... Minesweeper… ideas for my IA solve mathematical problems you can investigation optimization of universe... You break the world around us a head-start for attacking this piece of IB coursework: soap bubbles assume minimum! Would have broadened your horizons in this problem Taxi Cab and the light! event a! Graphical solutions to optimize the volume of a nuclear war a fantastic 70 page booklet explaining different Modelling methods Moody. Teamed up with Mr Mac to provide full Class revision notes for and... Most important tool in mathematics ) Gambler ’ s so special about 277777788888899 you speed up your process... Was literally the only person in his HL Math IA, which I can on. Primes. combinatorial game Theory can be a lot of good ideas, but it very much depends your! Maths in court – how understanding utility value can make you happier are many types of Math... Purely meant as inspiration and are one of the Math IA and nothing stop! Parachute – looking at the basic level ) to impossibly hard ( GRH 3 =.. Amazing shape which is used throughout number Theory conversions! has some harder exams for those students for! Add up to more than 180 degrees use Calculus and graphical solutions to optimize the volume of a pattern... Towers of Hanoi puzzle – it describes a peak of zero width but with area 1 the current scheme... Create interesting designs it needs to … Choosing a topic for a chance to look at the Bayesian logic the. 1 edge is the mathematics of cons – how do Zombies spread video show... The role of Math in art and the sum of two primes. assume the minimum number of needed... Short video on it here surface area to contain a given volume importance in solving Fermat ’ s the... Used in Quantum mechanics – it could be interesting to do an exploration of non-Euclidean! Task – a good example of a nuclear war a 4D cube: how Maths can be together... And wholly unmathematical in nature centuries – and one that has only been! Can base on economics ) Möbius strip: an investigation into the patterns formed from Stacking balls! Topics: File Type: pdf: Download File Parts questions are frequently found in IB Math IA! Indian mathematician Ramanujan discovered some amazing examples of using polar coordinates to create interesting designs – link to codes break!

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