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 using known times tables

Maths

In this unit pupils will use knowledge of distributive law to calculate products beyond known times tables facts In the future unit pupils will explain the relationship between multiplying a number by 10 and multiples of 10 They will explain why a zero can be placed after the final digit when multiplying it by 10 and why the final digit zero can be removed from a multiple of 10 when dividing by 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 distributive law to calculate products beyond known times tables facts.

Apply the distributive law to multiplication

Which of the following expressions is equivalent to 7 × 12?

What is the missing number in the array shown?

Use the grid model to help solve 12 × 7 by finding two partial products and combining them. 12 × 7 = {{ }}

Solve 12 × 8 = {{ }} using the distributive law.

Solve 6 × 12 = {{ }} using the distributive law.

Which of the expressions below is not equal to 12 × 11?

Which factor has been partitioned using the distributive law in the second expression: 12 × 3 = 10 × 3 + 2 × 3

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?

Which of the following expressions is the array representing?

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