Splitting an object or value down into smaller parts.

Any of the multiplication results we get leading up to an overall multiplication result.

Multiply a 3-digit by a 1-digit number using partitioning

Maths

In this unit pupils will learn to multiply a 3-digit number by a single-digit number using expanded and short multiplication.  In the future unit pupils will learn why the product stays the same when one factor is doubled and the other is halved and explain the effect on the product when scaling the factors by the same amount.

In the prior unit pupils multiplied a 2-digit number by a single-digit number using partitioning and representations and used expanded multiplication and short multiplication. In this unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication.

Multiplication by partitioning leading to short multiplication (3 by 1-digit)

A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.

A way of recording using columns to set out and calculate a multiplication.

Numbers we can multiply together to get another number.

Multiply a 3-digit by a 1-digit number with no regroups

The process of unitising and exchanging between place values is known as regrouping.

Multiply a 3-digit by a 1-digit number with one or two regroups

Multiply a 3-digit by a 1-digit number with multiple regroups

To find a value that is close enough to the right answer, usually with some thought or calculation involved.

Multiplication by partitioning leading to short multiplication (3 by 1-digit)

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These lessons will be removed by end of Summer Term 2025.