A factor is a number which exactly divides another whole number.

Multiplication is commutative. This means the order of the factors can be changed without changing the calculation or product.

Explain what each factor represents in a multiplication story

Maths

In this unit pupils will represent the 5x in different ways. They will explain the relationship between adjacent multiples of 5 and how 5x and 10x are related. In the future unit pupils will learn how a multiplication equation with 2 as a factor relates to doubling and how a division equation with 2 as a divisor relates to halving. They will explain the relationship between factors and products.

In the prior unit pupils represented the 2x 10x table in different ways using 2x 10x table to solve problems. They explained the relationship between adjacent multiples of 2/10 and that factor pairs can be written in any order. In this unit pupils will represent the 5x in different ways. They will explain the relationship between adjacent multiples of 5 and how 5x and 10x are related.

Representing counting in 5s as the 5 times table and link to the 10 times tables

Which word completes the sentence? The order of the factors can be changed and the product remains the same. This is known as __________.

Complete the equation so that it represents the 10 pence and 1 pence coins. 1 × 10 p = {{ }} ×  1 p.

How many fingers are there in each group? 
Select the expression which matches the images.

Look at the 5 pence and 1 pence coins and complete the expression.  {{ }} × 5 p = 5 × ___ p.

Complete the multiplication equation needed to solve this problem.
If one packet of sweets costs 10 p, how much do 10  packets of sweets cost?   {{ }} p × 10 packets = 100 p.

If one packet of sweets costs 5 p, how much do 7 packets of sweets cost? {{ }} p. 

Which word completes the sentence? The order of the factors can be changed and the __________ remains the same. This is known as commutativity.

Match the expressions to the correct product.

Look at the tally chart. How many snails did Laura see?

Laura sees 60 worms, how would you record this on this pictogram?

Laura sees 80 worms, how would she record this in the pictogram? Laura would need to draw {{ }} circles.

Aisha has recorded the amount of minibeasts she saw in her back garden in this pictogram. Aisha saw {{ }} worms.

This lesson will be removed by end of Summer Term 2025.

Explain what each factor represents in a multiplication story

Lesson outcome

This lesson will be removed by end of Summer Term 2025.