Starter quiz
- Which factor has been partitioned using the distributive law in the second expression: 12 × 3 = 10 × 3 + 2 × 3
- 18
- 12 ✓
- 3
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- 34 + 13 = ______
- '47' ✓
- 57 + 24 = ______
- '81' ✓
- Which of the following expressions represents the total number of balls if I have 3 tubes of 5 tennis balls and 2 tubes of 5 rounders balls?
- 3 × 3 + 5 × 2
- 3 × 5 + 2 × 5 ✓
- 3 × 3 + 7 × 5
- 5 + 3 + 2 + 5
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Which of the following expressions is the array representing?- 7 × 4 + 7 × 5 ✓
- 7 × 7 + 4 × 5
- 7 + 4 + 7 + 5
- 7 × 4 × 5
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- Double 84 is ___
- 158
- 168 ✓
- 178
- 188
-
Exit quiz
- Which of the following expressions is equivalent to 7 × 12?
- 7 × 10 + 7 × 2 ✓
- 7 × 11 + 7 × 2
- 7 × 12 + 7 × 2
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What is the missing number in the array shown?- '4' ✓
Use the grid model to help solve 12 × 7 by finding two partial products and combining them. 12 × 7 = ______- '84' ✓
- Solve 12 × 8 = ______ using the distributive law.
- '96' ✓
- Solve 6 × 12 = ______ using the distributive law.
- '72' ✓
- Which of the expressions below is not equal to 12 × 11?
- 10 × 11 + 2 × 11
- 12 × 10 + 12
- 10 × 10 + 2 × 1 ✓
- 6 × 11 + 6 × 11
- 11 × 6 + 11 × 6
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- If you know the 2 and 10 times tables you can work out the 12 times table.
- If you know the 10 times table you can work out the 9 times table.
- The distributive law allows you to add or subtract known times tables to work out new times table facts.
Common misconception
Pupils may think that there is only one strategy for finding a solution and struggle to see that there is more than one way of partitioning a factor.
Spend some time discussing how many combinations of partitioned factor you could use with the distributive law and evaluate each combination for efficiency. This would be a worthwhile guided group task.
Keywords
Partition - Partitioning is 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.
Partial product - A partial product is any of the multiplication results we get leading up to an overall multiplication result.
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