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

Starter quiz

Tick the expressions that represent repeated addition.
- 4 + 3 + 2
- 3 + 3 + 3 ✓
- 5 + 5 ✓
- 4 + 4 + 4 + 4 ✓
- 9 + 9 + 8
Tick the equation that represents the image.
- 2 + 2 + 2 ✓
- 3 + 2
- 3 + 3
Tick the equations that could represent this expression: 5 + 5 + 5
- 5 × 3 = ✓
- 5 + 3 =
- 3 × 5 = ✓
- 3 + 5 =
Tick the equations that could represent this expression: 3 × 4
- 3 + 3 + 3 + 3 = ✓
- 4 + 4 + 4 = ✓
- 4 + 3 =
- 3 + 4 =
Tick the unit fractions.
- $\frac{1}{5}$ ✓
- $\frac{5}{5}$
- $\frac{1}{10}$ ✓
- $\frac{7}{1}$
- $\frac{4}{4}$
$Tick the unit fraction this image represents.$

Tick the unit fraction this image represents.
- $\frac{1}{3}$
- $\frac{1}{4}$ ✓
- $\frac{1}{5}$
- $\frac{1}{2}$
- $\frac{3}{1}$

3 + 3 + 3 + 3 can be written as:
- 4 × 3 ✓
- 3 × 4 ✓
- 4 + 3
- 3 + 4
Tick the expression that this image represents.
- 3 × 2 ✓
- 3 × 3
- 2 × 3 ✓
The image can be expressed as 3 × 4 The 3 represents:
- The number of factors.
- The size of the groups. ✓
- The number of groups.
$Tick the unit fraction this image represents.$

Tick the unit fraction this image represents.
- $\frac{1}{6}$
- $\frac{1}{7}$
- $\frac{1}{8}$
- $\frac{1}{9}$
- $\frac{1}{10}$ ✓
Match the multiplicative expression to the additive expression.
- 3 × $\frac{1}{3}$
  
  ⇔
  
  $\frac{1}{3}$ + $\frac{1}{3}$ + $\frac{1}{3}$ ✓
- $\frac{1}{4}$ × 2
  
  ⇔
  
  $\frac{1}{4}$ + $\frac{1}{4}$ ✓
- $\frac{1}{5}$ × 3
  
  ⇔
  
  $\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$ ✓
- 2 × $\frac{1}{6}$
  
  ⇔
  
  $\frac{1}{6}$ + $\frac{1}{6}$ ✓
- 3 × $\frac{1}{5}$
  
  ⇔
  
  $\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$ ✓
Tick the images that represent this expression $\frac{1}{5}$ × 3

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Pupils consider the whole number to represent an area as well as the fraction.

Take time to discuss what each of the numbers in the expressions represent and link this to the context it is set in.

Repeated addition - Repeated addition is the process of adding the same equal group to itself multiple times.
Unit fraction - A unit fraction is a fraction where the numerator is 1
Represent - To represent something is to show it in a different way.