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

Explain how groups of five and ten are related

Explain the relationship between multiples of five and ten

Use knowledge of the relationships between the 5 and 10 times tables to solve problems

Explain how a factor of zero or one affects the product

Represent multiplication equations in different ways

Use knowledge of the 2, 5 and 10 times tables to solve problems

Use knowledge of the 2, 5 and 10 times tables to solve problems in a range of contexts

Explain what each factor represents in a multiplication story when one of the factors is one

Explain how a multiplication equation with 2 as a factor is related to doubling

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.

In this unit pupils will represent the 5-times table in different ways. They will explain the relationship between adjacent multiples of 5 and how 5- and 10-times tables 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.

Explain what each factor represents in a multiplication story

Lesson outcome