Starter quiz
What’s the missing factor in the equation in the diagram?- '4' ✓
- Use the equation 255 ÷ 17 = 15 to work out the missing product. 15 × 17 = ______
- '255' ✓
- What’s the missing number in this equation? 45 × 20 = 15 × ______
- '60' ✓
- 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 =
- 96 × 10 = ✓
- 160 × 6 =
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- 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
- 220 × 2 = 440 ✓
- 110 × 8 = 880
- 220 × 4 = 880
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- Use scaling to help you find the product: 16 × 25 = ______
- '400' ✓
Exit quiz
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.- '50' ✓
Use the complete equation to work out the missing product in the equation beneath.- '231' ✓
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.- '24' ✓
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.- '60' ✓
Which pairs of factors could be used to complete this equation?- 36 × 10
- 36 × 20 ✓
- 18 × 40 ✓
- 18 × 50
-
What is the missing factor in this equation? It is a 2-digit number.- '24' ✓
Worksheet
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Presentation
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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.
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'
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.
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