To represent something is to show it in a different way.

A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

A numerator is the top number in a fraction. It shows how many parts we have.

Unitising means treating groups that contain or represent the same number of things as units or ones.

Multiply a proper fraction by a whole number where the product is within a whole

Maths

Explain the relationship between repeated addition of unit fractions and multiplication of fractions

Explain the relationship between repeated addition of fractions and multiplication of fractions

Multiply a proper fraction by a whole number where the product is greater than a whole

Solve problems involving multiplying proper fractions by whole numbers

In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number. In the future unit pupils will multiply an improper fraction and a mixed number by a whole number.

In the prior unit pupils added mixed numbers. They subtracted a proper fraction from a mixed number and subtracted a mixed number from a mixed number. In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number.

In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number.

Multiply a proper fraction by a whole number

The name for the number on the top of a fraction is the ____________.

When you multiply a fraction by a whole number, the denominator __________.

Which images match the equation   $$ \frac{3}{9} $$ × 2 = $$ \frac{6}{9} $$

$$ \frac{4}{20} $$ × 4 = $$ \frac{8}{20} $$

$$ \frac{4}{20} $$  × 4 = $$ \frac{16}{80} $$

$$ \frac{4}{20} $$  × 4 = $$ \frac{16}{20} $$

4 × $$ \frac{4}{20} $$ = $$ \frac{16}{20} $$

 $$ \frac{16}{20} $$ = 4 × $$ \frac{4}{20} $$

$$ \frac{10}{3} $$ × 3 = $$ \frac{30}{3} $$

$$ \frac{3}{10} $$  × 3 = $$ \frac{9}{10} $$

$$ \frac{9}{10} $$  = $$ \frac{3}{10} $$ × 3

$$ \frac{9}{10} $$ = 3 × $$ \frac{3}{10} $$

The name for the number on the bottom of a fraction is the ____________.

Tick the expressions that represent this image.

Which image represents this expression?    4 × $$ \frac{2}{12} $$ 

Which image matches the expression   $$ \frac{2}{7} $$ × 3

Multiply a proper fraction by a whole number where the product is within a whole

Lesson outcome