Reasoning, convincing and proving

There are 458 NRICH Mathematical resources connected to Reasoning, convincing and proving

problem

Polynomial interpolation

Age

16 to 18

Challenge level

Can you fit polynomials through these points?

problem

Particularly general

Age

16 to 18

Challenge level

By proving these particular identities, prove the existence of general cases.

article

Take one example

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

problem

What's in a name?

Age

5 to 7

Challenge level

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

problem

So it's times!

Age

7 to 14

Challenge level

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

problem

Advent Calendar 2011 - Secondary

Age

11 to 18

Challenge level

Advent Calendar 2011 - a mathematical activity for each day during the run-up to Christmas.

problem

Calculating with cosines

Age

14 to 18

Challenge level

If I tell you two sides of a right-angled triangle, you can easily work out the third. But what if the angle between the two sides is not a right angle?