# Problem Solving at St Joseph's

The Singapore Bar Model

The Singapore Bar Model is a mathematical representation of a word problem which we are encouraging all pupils at St Joseph's to use. It is a representation that reveals the structure of a word problem which helps pupils identify what operation is needed to solve the problem. The bar model is not a claculating tool.

We expect pupils to use this model from Year 1 through to Year 6.

Mathematical understanding involves using representations
• CONCRETE
• PICTORIAL
• ABSTRACT
By the time pupils get to Year 4, we would hope they have moved on to solely using the abstract version of using the bar model.
A Year 1 Problem

There are 5 apples and 6 oranges.How many pieces of fruit altogether?

Year 2 Problem
A Year 3 Problem

Miss Teague travelled 120 miles to get to her holiday cottage. She then travelled a further 42 miles to visit her friend. How far did she travel in total?
A Year 4 Problem

Leanne spends £8. Her friend Jenny spends five times more than her. How much does Jenny spend?
A Year 5 Problem

Adam has a pack of stickers. There are 124 stickers in a pack. If he shares them with his 3 friends - how many stickers will each friend get?
A Year 6 Problem

Shane had £72 that he had been saving for 8 weeks. If he saved the same amount of money each week, how much would he have saved after 21 days?