A multiple is the product of a number and an integer.

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.

Explain which is the most efficient factor to partition to solve a multiplication problem

Maths

In this unit pupils will explain how each part of a multiplication and division equation relates to a story. They will partition one of the factors in a multiplication equation in different ways using representations. In the future unit pupils will use knowledge of distributive law to calculate products beyond known times tables facts.

In the prior unit pupils represented counting in sevens as the 7x table explaining the relationship between adjacent multiples of 7 and knowledge of the 7x table to solve problems. In this unit pupils will explain how each part of a multiplication and division equation relates to a story. They will partition one of the factors in a multiplication equation in different ways using representations

Understand and represent multiplicative structures

Which of these equations represents this image?

Which number would fill in all gaps in this equation? (It is the same number for each gap.)
{{ }} × 6 + 4 × 6 = 7 × ___ + 7 × ___ = 42

Tick the expressions that have a value of 45

Tick the expressions that have a value of 54

There are 6 squads of 16 players in a rounders competition. How many players are there in total? Use the distributive rule to calculate your answer.

What is the missing number in the equation below? 8 × {{ }} = 24

What is the missing number in the equation below? 7 × {{ }} = 56

What is the missing number in the equation below? {{ }} × 12 = 72

Tick the two equations that show that multiplication is commutative.

There are 500 potatoes shared amongst 24 crates.
Match the objects with group size or number of groups.

Tick all the equations, showing the distributive law, that are represented by this stacked number line. 

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