IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
The Shoelace Algorithm to find areas of polygons This is a nice algorithm, formally known as Gauss's Area formula, which allows you to work out the area of any polygon as long as you know the Cartesian coordinates of the vertices. The case can be shown to work for all triangles, and then can be... Continue Reading →
A geometric proof for the Arithmetic and Geometric Mean There is more than one way to define the mean of a number. The arithmetic mean is the mean we learn at secondary school - for 2 numbers a and b it is: (a + b) /2. The geometric mean on the other hand is defined... Continue Reading →
Circular inversions II There are some other interesting properties of circular inversions. One of which is that they preserve the "angle" between intersecting circles. Firstly, how can circles have an angle between them? Well, we draw 2 tangents to both the circles at the point of intersection, and then measure the angle between the 2... Continue Reading →
Visualising Algebra Through Geometry This picture above is a fantastic example of how we can use geometry to visualise an algebraic expression. It's taken from Brilliant - which is a fantastic new forum for sharing maths puzzles. This particular puzzle was created and uploaded by Arron Kau. The question is, which of the following mathematical... Continue Reading →