Reasoning, convincing and proving

problem
Star polygons

Age

11 to 14

Challenge level

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
problem
Same length

Age

11 to 16

Challenge level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
problem
Subtraction surprise

Age

7 to 14

Challenge level

Try out some calculations. Are you surprised by the results?
problem
Mega quadratic equations

Age

14 to 18

Challenge level

What do you get when you raise a quadratic to the power of a quadratic?
list
Reasoning, convincing and proving - short problems

Age

11 to 16

A collection of short Stage 3 and 4 problems requiring Reasoning, Convincing and Proving.
list
Proving

Age

7 to 11

These tasks provide opportunities for learners to get better at proving, whether through proof by exhaustion, proof by logical argument, proof by counter example or generic proof.