Starter quiz
What is the missing factor in the equation in the diagram?- '16' ✓
- What is the missing number in this equation? 14 × 5 = ______ × 10
- '7' ✓
- What is the missing number in this equation? 15 × 28 = 30 × ______
- '14' ✓
- Which expressions are equal to 16 × 42?
- 8 × 21
- 8 × 84 ✓
- 16 × 84
- 32 × 21 ✓
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- Use scaling to help you find the product: 5 × 62 = ______
- '310' ✓
- Use scaling to help you find the product: 250 × 16 = ______
- '4,000' ✓
Exit quiz
What is the missing factor in the equation in the diagram?- '18' ✓
- What is the missing number in this equation? 10 × 25 = ______ × 5
- '50' ✓
- What is the missing number in this equation? 20 × 12 = 80 × ______
- '3' ✓
- Andeep scales the equation 22 × 40 = ______ to make it easier to answer. Which of these equations is the most sensible and efficient choice?
- 110 × 8 =
- 88 × 10 = ✓
- 44 × 20 =
- 11 × 80 =
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- Laura is trying to find the product of 35 × 20 and writes some possible equations. Which is correct and will help her find the product?
- 350 × 10 = 3,500
- 70 × 20 = 1,400
- 7 × 100 = 700 ✓
- 5 × 120 = 600
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- Use scaling to help you find the product: 250 × 32 = ______
- '8,000' ✓
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.
- Arrays can represent the product staying the same when one factor is scaled up and the other down by the same amount.
- Scaling one factor up and the other down by the same amount maintains equivalence.
Common misconception
Pupils may not select efficient ways of scaling numbers to calculate the product.
Discuss possible solutions, encouraging pupils to think about whether they can use known facts (e.g. times tables, multiples of 10) to calculate products after scaling.
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 of two or more numbers multiplied together.
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