Myths about teaching can hold you back
- 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.
- 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.
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.
To help you plan your year 5 maths lesson on: Explain the relationship between repeated addition of unit fractions and multiplication of fractions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Explain the relationship between repeated addition of unit fractions and multiplication of fractions, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Multiply a proper fraction by a whole number unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Tick the expressions that represent repeated addition.
Q2.Tick the equation that represents the image.

Q3.Tick the equations that could represent this expression: 5 + 5 + 5
Q4.Tick the equations that could represent this expression: 3 × 4
Q5.Tick the unit fractions.
Q6.Tick the unit fraction this image represents.

Assessment exit quiz
6 Questions
Q1.3 + 3 + 3 + 3 can be written as:
Q2.Tick the expression that this image represents.

Q3.The image can be expressed as 3 × 4 The 3 represents:

Q4.Tick the unit fraction this image represents.

Q5.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 × $$ \frac{1}{5} $$ -
$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$
Q6.Tick the images that represent this expression $$ \frac{1}{5} $$ × 3



