IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
Time dependent gravity exploration In our universe we have a gravitational constant - i.e gravity is not dependent on time. If gravity changed with respect to time then the gravitational force exerted by the Sun on Earth would lessen (or increase) over time with all other factors remaining the same. Interestingly time-dependent gravity was first... Continue Reading →
Is Intergalactic space travel possible? The Andromeda Galaxy is around 2.5 million light years away - a distance so large that even with the speed of light at traveling as 300,000,000m/s it has taken 2.5 million years for that light to arrive. The question is, would it ever be possible for a journey to the... Continue Reading →
https://www.youtube.com/watch?v=na6QspKHt48 Bullet Projectile Motion Experiment This is a classic physics experiment which counter to our intuition. We have a situation where 1 ball is dropped from a point, and another ball is thrown horizontally from that same point. The question is which ball will hit the ground first? (diagram from School for Champions site) Looking... Continue Reading →
This is a classic puzzle which is discussed in some more detail by the excellent Wired article. The puzzle is best represented by the picture below. We have a hunter who whilst in the jungle stumbles across a monkey on a tree branch. However he knows that the monkey, being clever, will drop from the branch... Continue Reading →
https://www.youtube.com/watch?v=5C5_dOEyAfk Galileo: Throwing cannonballs off The Leaning Tower of Pisa This post is inspired by the excellent book by Robert Banks - Towing Icebergs. This book would make a great investment if you want some novel ideas for a maths investigation. Galileo Galilei was an Italian mathematician and astronomer who (reputedly) conducted experiments from the... Continue Reading →