Myths about teaching can hold you back
- Year 5
Explain when a calculation represents scaling down and when it represents repeated addition
I can explain when a calculation represents scaling down and when it represents repeated addition
- Year 5
Explain when a calculation represents scaling down and when it represents repeated addition
I can explain when a calculation represents scaling down and when it represents repeated addition
Lesson details
Key learning points
- A calculation can represent scaling down or finding a fraction of the whole number.
- A calculation can represent repeated addition or finding lots of the fraction.
- Multiplication is commutative so the product will be the same.
Keywords
Scaling - Scaling is when something is transformed, through either shrinking or enlarging by a scale factor.
Repeated addition - Repeated addition is when the same object or value is added to itself more than once.
Numerator - The numerator is the number on the top of a fraction. It tells us how many parts we have/need.
Denominator - The denominator is the number on the bottom of a fraction. It tells us how many parts the whole has been divided into.
Common misconception
Pupils divide by the denominator and then multiply by the numerator without any conceptual understanding for why this works.
Ensure pupils spend time exploring how dividing and multiplying by either the numerator or denominator works in relation to a scaling or repeated addition strategy. Encourage pupils to reason when they would use one strategy over the other.
To help you plan your year 5 maths lesson on: Explain when a calculation represents scaling down and when it represents repeated addition, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Explain when a calculation represents scaling down and when it represents repeated addition, 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 Find unit and non-unit fractions of whole numbers exploring parts and wholes unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Tick the equations that could represent this expression: 7 + 7 + 7
Q2.Tick the expressions that represent this image.

Q3.Tick the equation that represent this image.

Q4.Tick the statements that are true.

Q5.Write in the missing number for this equation. $$ \frac{3}{5} $$ × 20 =

Q6.Calculate $$ \frac{4}{5} $$ × 20 =
Assessment exit quiz
6 Questions
Q1.Look at the equation. Complete the sentence with an appropriate word: The product will be than the whole number.

Q2.Tick the descriptions that could best match this bar model.
