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Year 5

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

I can explain the relationship between repeated addition of unit fractions and multiplication of fractions.

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New

Year 5

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

I can explain the relationship between repeated addition of unit fractions and multiplication of fractions.

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Share activities with pupils

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Lesson details

Key learning points

Multiplication can be represented as repeated addition
Multiplication can be represented as scaling
Use the language of unitising '__ groups of __ is equal to __'

Keywords

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.

Common misconception

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.

It is important that pupils continue to link calculations involving the multiplication of fractions and whole numbers with contexts beyond area. For example, pupils should make connections to both linear and cardinal examples. You may also like to link it to a fraction of a volume too.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.

Tick the expressions that represent repeated addition.

4 + 3 + 2

Correct answer: 3 + 3 + 3

Correct answer: 5 + 5

Correct answer: 4 + 4 + 4 + 4

9 + 9 + 8

Q2.

Tick the equation that represents the image.

Correct answer: 2 + 2 + 2

3 + 2

3 + 3

Q3.

Tick the equations that could represent this expression: 5 + 5 + 5

Correct answer: 5 × 3 =

5 + 3 =

Correct answer: 3 × 5 =

3 + 5 =

Q4.

Tick the equations that could represent this expression: 3 × 4

Correct answer: 3 + 3 + 3 + 3 =

Correct answer: 4 + 4 + 4 =

4 + 3 =

3 + 4 =

Q5.

Tick the unit fractions.

Correct answer: $$ \frac{1}{5} $$

$$ \frac{5}{5} $$

Correct answer: $$ \frac{1}{10} $$

$$ \frac{7}{1} $$

$$ \frac{4}{4} $$

Q6.

Tick the unit fraction this image represents.

$$ \frac{1}{3} $$

Correct answer: $$ \frac{1}{4} $$

$$ \frac{1}{5} $$

$$ \frac{1}{2} $$

$$ \frac{3}{1} $$

Exit quiz

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6 Questions

Q1.

3 + 3 + 3 + 3 can be written as:

Correct answer: 4 × 3

Correct answer: 3 × 4

4 + 3

3 + 4

Q2.

Tick the expression that this image represents.

Correct answer: 3 × 2

3 × 3

Correct answer: 2 × 3

Q3.

The image can be expressed as 3 × 4 The 3 represents:

The number of factors.

Correct answer: The size of the groups.

The number of groups.

Q4.

Tick the unit fraction this image represents.

$$ \frac{1}{6} $$

$$ \frac{1}{7} $$

$$ \frac{1}{8} $$

$$ \frac{1}{9} $$

Correct answer: $$ \frac{1}{10} $$

Q5.

Match the multiplicative expression to the additive expression.

Correct Answer:3 × $$ \frac{1}{3} $$,$$ \frac{1}{3} $$ + $$ \frac{1}{3} $$ + $$ \frac{1}{3} $$

$$ \frac{1}{3} $$ + $$ \frac{1}{3} $$ + $$ \frac{1}{3} $$

Correct Answer:$$ \frac{1}{4} $$ × 2,$$ \frac{1}{4} $$ + $$ \frac{1}{4} $$

$$ \frac{1}{4} $$ + $$ \frac{1}{4} $$

Correct Answer:$$ \frac{1}{5} $$ × 3,$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$

$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$

Correct Answer:2 × $$ \frac{1}{6} $$,$$ \frac{1}{6} $$ + $$ \frac{1}{6} $$

$$ \frac{1}{6} $$ + $$ \frac{1}{6} $$

Correct Answer:3 × $$ \frac{1}{5} $$,$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$

$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$

Q6.

Tick the images that represent this expression $$ \frac{1}{5} $$ × 3

Correct Answer: An image in a quiz