Starter quiz
- What is the missing number in the equation below? ______ × 2 = 8
- '4' ✓
- What is the missing number in the equation below? ______ × 3 = 30
- '10' ✓
- What is the missing number in the equation below? ______ × 4 = 24
- '6' ✓
- Tick the two equations that show that multiplication is commutative.
- 9 × 2 = 18 ✓
- 2 × 9 = 18 ✓
- 10 × 2 = 20
- 2 × 11 = 22
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- There are 5 crates of 20 apples. Match the object with group size or number of groups.
- 5 crates⇔number of groups ✓
- 20 apples⇔group size ✓
- There are 5 pots with 6 pencils in each. How many pencils are there altogether? ______ pencils.
- '30' ✓
Exit quiz
- What is the missing number in the equation below? ______ × 9 = 45
- '5' ✓
What is the missing number in this description of the array shown? 2, ______ times is equal to 6- '3' ✓
- True or false? Factors in a multiplication equation can swap positions.
- True ✓
- False
Which sentence best describes this image?- There are 3 pots of 2 pencils. ✓
- There are 2 pots of 3 pencils.
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- Match the expressions that are of equal value.
- 3 × 2⇔2 × 3 ✓
- 3 × 4⇔4 × 3 ✓
- 4 × 5⇔10 × 2 ✓
- 13 × 15⇔15 × 13 ✓
- Which of these pairs of expressions do not have equal value?
- 5 × 4 and 4 × 5
- 10 × 2 and 2 × 10
- 12 × 1 and 2 × 11 ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- Factors can either represent the number of groups or the size of each group.
- Factors are commutative so they can swap positions within a multiplication equation and the product remains the same.
- When looking at multiplication expressions, the factors can be interpreted in two different ways to give two images.
Common misconception
Pupils may struggle to identify whether a factor is representing the group size or the number of groups, particularly when their position in the equation is swapped to show commutativity.
Give children concrete examples to look at, such as jars of marbles, boxes of erasers or pots of pencils and write corresponding multiplication equations, identifying the factor that represents group size and the one that represents number of groups.
Keywords
Factor - A factor is a whole number which divides exactly into another whole number.
Product - A product is the result of two or more numbers being multiplied.
Commutative - In addition and multiplication, numbers may be added or multiplied together in any order. This is called commutativity.
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