Use knowledge of the distributive law to calculate products beyond known times tables
I can use knowledge of the distributive law to calculate products beyond known times tables efficiently.
Use knowledge of the distributive law to calculate products beyond known times tables
I can use knowledge of the distributive law to calculate products beyond known times tables efficiently.
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Lesson details
Key learning points
- If you know the 3 and 10 times tables you can work out the 13 times table.
- If you know the 10 times table you can work out the 20 times table.
- If you know the 5 and 8 times tables you can work out the 16 times table.
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 below? 5 × 11 = 5 × 10 + 5 × 1
Q2.50 + 77 =
Q3.57 + 65 =
Q4.Which of the following expressions represents the total number of pencils if I have 6 pots of 5 pencils and 6 pots of 8 pencils?
Q5.Which of the following expressions is the array representing?
Q6.Double 81 is
Assessment exit quiz
6 Questions
Q1.Which of the following expressions is equivalent to 8 × 16?
Q2.What is the missing number in the array shown?
Q3.Use the grid model to help solve 7 × 16 by finding two partial products and combining them. 7 × 16 =
