New
New
Year 6
Use knowledge of equivalence when scaling factors to solve problems
I can solve problems using equivalence by scaling factors.
New
New
Year 6
Use knowledge of equivalence when scaling factors to solve problems
I can solve problems using equivalence by scaling factors.
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Lesson details
Key learning points
- When one factor is scaled and the other is scaled down by the same amount, the product remains the same.
- Scaling one factor up and the other down by the same amount maintains equivalence.
- Factorising means describing a product using factors that multiply together.
Keywords
Equivalent - Equivalent means having the same value.
Factor - A factor is a number which exactly divides another whole number.
Product - The product is the result when two or more numbers are multiplied together.
Common misconception
Pupils may struggle to know what to add if just one of the factors changes.
Refer to 'lots of' when discussing calculations. For example, if pupils know that 3 × 84 = 252, then 3 × 85 must be 3 more. 3 × 84 is '84 lots of 3' and 3 × 85 is '85 lots of 3'
Pupils need to have a reasonable grasp of scaling numbers by 3, 4, 5 and 10 before this lesson. Encourage pupils to think about tests of divisibility, using their times tables. In Cycle B, encourage them to use different solutions to generate other answers.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on
Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions (Collection 2).Lesson video
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Starter quiz
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6 Questions
Q1.
What’s the missing factor in the equation in the diagram?
Q2.
Use the equation 255 ÷ 17 = 15 to work out the missing product. 15 × 17 =
Q3.
What’s the missing number in this equation? 45 × 20 = 15 ×
Q4.
Andeep scales the equation 32 × 30 = ___ to make it easier to answer. Which of these equations is the most sensible and efficient choice?
16 × 60 =
64 × 15 =
160 × 6 =
Q5.
Laura is trying to find the product of 55 × 8 and writes some possible equations. Which is correct and will help Laura find the product?
110 × 2 = 220
110 × 8 = 880
220 × 4 = 880
Q6.
Use scaling to help you find the product: 16 × 25 =
Exit quiz
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6 Questions
Q1.
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Q2.
Use the complete equation to work out the missing product in the equation beneath.
Q3.
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Q4.
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Q5.
Which pairs of factors could be used to complete this equation?
36 × 10
18 × 50
Q6.
What is the missing factor in this equation? It is a 2-digit number.
