You may also like

Rationals Between

What fractions can you find between the square roots of 56 and 58?

Equal Equilateral Triangles

Using the interactivity, can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?

An Introduction to Irrational Numbers

The Square Hole

Stage: 4 Challenge Level:

Can you think of a reason why the yellow and purple triangles are equal in area ?

If the side length of the yellow triangle is taken as the unit for length, what length is the third side of the purple isosceles triangles ?

Continued fractions. Equilateral triangles. Properties of numbers. Rational and irrational numbers. Quadratic equations. Powers & roots. Tessellations. Proof by contradiction. Generalising. Mathematical reasoning & proof.