Starter quiz
- What is the missing number in the equation below? 7 × ______ = 35
- '5' ✓
- What is the missing number in the equation below? ______ × 4 = 44
- '11' ✓
- What is the missing number in the equation below? 9 × ______ = 27
- '3' ✓
- Tick the two equations that show that multiplication is commutative.
- 3 × 10 = 30 ✓
- 45 = 9 × 5
- 8 × 5 = 40
- 30 = 3 × 10 ✓
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- There are 6 jars of 400 marbles. Match the objects with group size or number of groups.
- 6 jars⇔number of groups marbles ✓
- 400 marbles⇔group size ✓
- The product of a multiplication will always be the __________ of the related division fact.
- dividend ✓
- divisor
- quotient
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Exit quiz
Tick the equations that are represented by this part-part-whole model.- 4 + 1 = 5 ✓
- 5 × 1 = 5
- 5 − 1 = 4 ✓
- 5 − 4 = 1 ✓
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Tick the equations that are represented by this part-part-whole model.- 4 + 1 = 5
- 4 × 8 + 1 × 8 = 5 × 8 ✓
- 5 × 8 = 5 × 8 − 1 × 8 ✓
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Tick the equations that are represented by this stacked number line.- 4 × 4 + 5 × 4 = 1 × 4
- 4 × 4 + 1 × 4 = 5 × 4 ✓
- 4 × 4 = 5 × 4 − 1 × 8 ✓
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Tick the equations that are represented by this part-part-whole model.- 3 + 2 + 5 = 10
- 5 − 2 = 3 ✓
- 3 + 2 = 5 ✓
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Tick the equations, showing the distributive law, that are represented by this part-part-whole model.- 3 × 5 + 2 × 5 = 5 × 5 ✓
- 5 × 5 − 2 × 5 = 3 × 5 ✓
- 3 + 2 = 5
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Tick the equations, showing the distributive law, that are represented by this stacked number line.- 5 × 8 − 2 × 8 = 7 × 8
- 7 × 8 − 2 × 8 = 5 × 8 ✓
- 5 × 8 + 2 × 8 = 7 × 8 ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- We can easily calculate multiples of a number by adding on or subtracting that number from an adjacent multiple.
- Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
- A factor can be partitioned to solve multiplication problems efficiently.
Common misconception
Counters are being used for unitisation in this lesson but sometimes pupils can struggle to understand that counters can be worth different amounts without a proportional change in size.
Count up and down in different amounts using the counters so that children understand they represent a unit that can have different values in different examples.
Keywords
Multiples - The product of a number and an integer.
Partition - The act of splitting an object or value down into smaller parts.
Distributive law - The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Adjacent - Next to each other. In this lesson, it’s used to refer to multiples that are next to one another.
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