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.

Next to each other. In this lesson, it’s used to refer to multiples that are next to one another.

Partition one of the factors in a multiplication equation using representations

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

Tick the equations that are represented by this part-part-whole model.

Tick the equations that are represented by this stacked number line.

Tick the equations, showing the distributive law, that are represented by this part-part-whole model.

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

What is the missing number in the equation below? 7 × {{ }} = 35

What is the missing number in the equation below? {{ }} × 4 = 44 

What is the missing number in the equation below? 9 × {{ }} = 27

Tick the two equations that show that multiplication is commutative.

There are 6 jars of 400 marbles.
Match the objects with group size or number of groups.

The product of a multiplication will always be the __________ of the related division fact.

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