The denominator is the bottom number of a fraction. It tells you how many equal parts the whole has been divided into.

The numerator is the top number of a fraction. It tells you how many parts we have, or are needed.

Find a non-unit fraction of a quantity using mental and written calculation strategies

Maths

Find a unit fraction of a quantity using representations

Explain how finding a fraction of a quantity relates to multiplying by a unit fraction

Explain how dividing by a whole number relates to multiplying by a unit fraction

Use knowledge of multiplying a whole number by a unit fraction to solve problems

Multiply a whole number by a proper fraction

Explain when a calculation represents scaling down and when it represents repeated addition

Find the whole when the size of a unit fraction is known

Find a unit fraction when the size of a non-unit fraction is known

Find the whole when the size of a non-unit fraction is known

In this unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes. In the future unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

In the prior unit pupils multiplied an improper fraction and a mixed number by a whole number. In this unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

In this unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

Find unit and non-unit fractions of whole numbers exploring parts and wholes

Tick the equations that represent this image.

Divide the whole by the numerator and multiply that by the denominator.

Multiply the whole by the denominator and then divide that by the numerator.

Divide the whole by the denominator and then multiply that by the numerator.

To find a fraction of an amount, you can:

The whole is 909   Find the value of five ninths of the whole.

There are 36 bags of sweets to be handed out after school to the class for Laura’s birthday. Five sixths of the bags are handed out. How many bags does she have left?

The whole has been divided into how many equal parts?

Tick the bar model that represents this equation 35 × $$ \frac{1}{7} $$ = 5

Solve the equation:   650 × $$ \frac{1}{5} $$ = {{ }}

Tick the equations that represent this problem. 
There are 32 children in the class. One-eighth of the children had packed lunch for their lunch.

There are 220 grams of chopped tomatoes in a tin. 
A recipe requires one quarter of a tin of chopped tomatoes. How many grams of chopped tomatoes is this? {{ }} g

Find a non-unit fraction of a quantity using mental and written calculation strategies

Lesson outcome