St Joseph's Catholic Primary School

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?