An expression contains one or more values, where each value is separated by an operator.

An equation is used to show that one number, calculation or expression is equal to another.

The denominator is the bottom number in a fraction.

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

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

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

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

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

The result of both of these equations will give us a __________ number than what we started with.

Tick the expressions that represent the bar model.

True or false? $$ \frac{1}{4} $$ × 20 = 20 ÷ 4 

Fill in the missing number. $$ \frac{1}{6} $$ × 18 = 18 ÷ {{ }}

Solve the equation:   100 × $$ \frac{1}{5} $$ = {{ }}


When you multiply a unit fraction by a whole number, the product will always be __________ than the whole number.

Tick the operation that can replace ‘of’ in a calculation.

Tick the representation that matches the equation: $$ \frac{1}{3} $$ × b = g   

Tick the equations that match this bar model.

Write in the correct symbol to compare these two expressions (< > =).

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

Lesson outcome