Mathematicians aren't usually satisfied with looking at a few examples and spotting patterns. That is just the start! They will form conjectures based on their noticings and they will want to know whether their conjectures are always true. The tasks in this feature give you the chance to identify patterns, make conjectures and then create mathematical arguments that will be convincing to mathematicians!
You may also like to take a look at our Shape Your Proof feature which gives you tasks for a similar purpose but in the context of number.
Even and odd
This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?
Two numbers under the microscope
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
Next-door numbers
Strike it out
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Take three numbers
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Neighbourly addition
Unravelling sequences
An easy way to multiply by 10?
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
Three neighbours
Take three consecutive numbers and add them together. What do you notice?