# Reasoning

Reasoning is fundamental to knowing and doing mathematics but when do we reason and what does reasoning 'look like'? The article below helps to answer those questions and draws together tasks which offer opportunities for learners to reason for different purposes and in different ways.

### Mathematical Reasoning - Moving Beyond 'because ...'

##### Stage: 1 and 2

In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.

##### Stage: 1 Challenge Level:

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

### Hundred Square

##### Stage: 1 Challenge Level:

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

### That Number Square!

##### Stage: 1 and 2 Challenge Level:

How quickly can you put back the numbers on the hundred square? What's the smartest way to do it?

### Coded Hundred Square

##### Stage: 2 Challenge Level:

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

### Maze 100

##### Stage: 2 Challenge Level:

Can you go through this maze so that the numbers you pass add to exactly 100?

### Amy's Dominoes

##### Stage: 2 Challenge Level:

Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?