Mathematicians love to solve problems. However, they are not satisfied by finding one solution, or even more than one solution to a challenge, they like to dig deeper and try to find a 'proof'. You can think of a proof as a mathematical argument which has a watertight chain of reasoning.
Rather than trying to jump straight into proof, here we have gathered together some tasks which each give you chance to try something out by picking your own example. Then you can try a different example, and another, and another ... Each time, try to transfer your thinking from the examples you've already tried to the new one. This is the beginning of the journey to proof!
Rather than trying to jump straight into proof, here we have gathered together some tasks which each give you chance to try something out by picking your own example. Then you can try a different example, and another, and another ... Each time, try to transfer your thinking from the examples you've already tried to the new one. This is the beginning of the journey to proof!
problem
Favourite
Two-digit targets
Age
5 to 7
Challenge level
You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
problem
Favourite
Dotty Six
Age
5 to 11
Challenge level
Dotty Six is a simple dice game that you can adapt in many ways.
problem
Favourite
Round the Two Dice
Age
5 to 7
Challenge level
This activity focuses on rounding to the nearest 10.
problem
Favourite
Secret Number
Age
5 to 7
Challenge level
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
list
Convince me! - Lower Primary Students
Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!