The dividend is the amount that you want to divide.

A quotient is the result after division has taken place. It is the whole number part.

Explain the effect on the quotient when scaling the dividend and the divisor by 10

Maths

Explain why the product stays the same when one factor is doubled and the other is halved

Explain the effect on the product when scaling the factors up and down by the same amount

Use knowledge of equivalence when scaling factors to solve problems

Explain the effect on the quotient when scaling the dividend and the divisor by the same amount

 In this unit pupils will explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount. In the future unit pupils will describe the relationship between two factors and use a ratio grid to calculate unknown values. 

 In the prior unit pupils explained how to identify a multiple or common multiple to solve problems in a range of contexts. In this unit pupils will explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount.

In this unit pupils will explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount.

Using equivalence to calculate

Match each number in the equation to the correct keyword: 48 ÷ 4 = 12

Look at the diagram. What is the missing divisor?

What is the missing number in this equation? 30 ÷ 5 = 300 ÷ {{ }}

What is the missing number in this equation? 48 ÷ 4 = {{ }} ÷ 40

Look at the bar model. What is the missing quotient? 160 ÷ 40 = {{ }}

Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.

What is the missing factor in this equation? It is a 2-digit number.

Explain the effect on the quotient when scaling the dividend and the divisor by 10

Lesson outcome