Use knowledge of the distributive law to calculate products using known times tables
I can use knowledge of the distributive law to calculate products using known times tables.
- Year 4
Use knowledge of the distributive law to calculate products using known times tables
I can use knowledge of the distributive law to calculate products using known times tables.
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.
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.
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which factor has been partitioned using the distributive law in the second expression: 12 × 3 = 10 × 3 + 2 × 3
Q2.34 + 13 =
Q3.57 + 24 =
Q4.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?
Q5.Which of the following expressions is the array representing?
Q6.Double 84 is ___
Assessment exit quiz
6 Questions
Q1.Which of the following expressions is equivalent to 7 × 12?
Q2.What is the missing number in the array shown?
Q3.Use the grid model to help solve 12 × 7 by finding two partial products and combining them. 12 × 7 =
