Use knowledge of equivalence when scaling factors to solve problems
Lesson details
Learning outcome
I can solve problems using equivalence by scaling factors.
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'
Teacher tip
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.
Licence
Lesson video
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Prior knowledge starter quiz
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?
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?
Q6.Use scaling to help you find the product: 16 × 25 =
Assessment exit quiz
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?
Q6.What is the missing factor in this equation? It is a 2-digit number.
To help you plan your 6 maths lesson on: Use knowledge of equivalence when scaling factors to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Use knowledge of equivalence when scaling factors to solve problems, 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 Using equivalence to calculate unit, dive into the full primary maths curriculum, or learn more about lesson planning.