An operation is commutative if the values it is operating on can be written in either order without changing the calculation.

A set of two factors, which, when multiplied together, give a particular product.

Represent multiplication equations in different ways

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

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

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

Look at the array below, how many groups of 2 are there? Select the expression which represents this.

The order of the factors can be changed and the product remains the same. This is known as __________.

Look at the equation: 5 × 6 = 30 Select the statements that are true for this equation.

Look at the arrays. Select the correct expressions that describe the groupings.

Look at the array to help you fill in the gap: 5 × 2 = {{ }} × 5

Aisha and Laura have some coins. Aisha has 20 p altogether. If Aisha has two 10 pence coins and Laura has the same 10 coins, what coins must Laura have? Laura will have 10 {{ }} pence coins. 

Look at the expressions 4 × 0 and 4 × 1   These have been shown with cupcakes. Which has the greater amount of cupcakes?

Look at the equation 2 × 6 = 12 Select the statements that are true.

Match the expression to the correct product.

Using what you know about 1 as a factor what is 15 × 1 = {{ }}

In this puzzle, the numbers are multiplied as shown in the middle. What is each number being multiplied by?

In this puzzle, the numbers are multiplied as shown in the middle. What is the missing number?

Represent multiplication equations in different ways

Lesson outcome