IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
Ladybirds vs Aphids At t=0 we have a ladybird on the edge of a leaf at point A(0,10) in cm, and an aphid at point B(0,10). The ladybird is in pursuit of the aphid. In each time interval of 1 second the ladybird travels 1cm by heading towards the aphid following the shortest straight-line path. ... Continue Reading →
Modelling more Chaos This post was inspired by Rachel Thomas' Nrich article on the same topic. I'll carry on the investigation suggested in the article. We're going to explore chaotic behavior - where small changes to initial conditions lead to widely different outcomes. Chaotic behavior is what makes modelling (say) weather patterns so complex. f(x)... Continue Reading →
Modelling Chaos This post was inspired by Rachel Thomas' Nrich article on the same topic. I'll carry on the investigation suggested in the article. We're going to explore chaotic behavior - where small changes to initial conditions lead to widely different outcomes. Chaotic behavior is what makes modelling (say) weather patterns so complex. Let's start... Continue Reading →
Making Music With Sine Waves Sine and cosine waves are incredibly important for understanding all sorts of waves in physics. Musical notes can be thought of in terms of sine curves where we have the basic formula: y = sin(bt) where t is measured in seconds. b is then connected to the period of the... Continue Reading →
Modelling for Zombies Some mathematicians at the University of Ottawa have just released a paper looking at the mathematics behind a zombie apocalypse. What are the best strategies for avoiding being eaten? How quickly would zombies spread through the population? This may seem a little silly as zombies aren't real - but actually the mathematics... Continue Reading →
Simulations -Traffic Jams and Asteroid Impacts You can study the mathematics behind traffic flow using this simulator. Why do traffic jams form? How does the speed limit or traffic lights or the number of lorries on the road affect road conditions? You can run a number of different simulations - looking at ring road traffic,... Continue Reading →