Partitioning is the act of splitting an object or value down into smaller parts.

The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

A partial product is any of the multiplication results we get leading up to an overall multiplication result.

Use knowledge of the distributive law to calculate products beyond known times tables

Maths

 In this unit pupils will use knowledge of the distributive law to calculate products beyond known times tables facts and relate this to partitioning one of the factors. In the future unit pupils will explain the relationship between multiplying a number by 10 and multiples of 10. 

In the prior unit pupils explained how each part of a multiplication and division equation related to a story. They partitioned one of the factors in a multiplication equation in different ways using representations. In this unit pupils will use knowledge of the distributive law to calculate products beyond known times tables facts and relate this to partitioning one of the factors.

Apply the distributive law to multiplication

Which of the following expressions is equivalent to 8 × 16?

What is the missing number in the array shown?

Use the grid model to help solve 7 × 16 by finding two partial products and combining them. 7 × 16 = {{ }}

Solve 18 × 8 = {{ }} using the distributive law.

Solve 6 × 19 = {{ }} using the distributive law.

Which of the expressions below is not equal to 18 × 11?

Which factor has been partitioned using the distributive law in the second expression below? 5 × 11 = 5 × 10 + 5 × 1

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?

Which of the following expressions is the array representing?

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