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 the same amount

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 10

 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: 240 ÷ 60 = 4

What is the missing dividend in the second equation shown here?

What is the missing number in this equation? 220 ÷ 20 = 660 ÷ {{ }}

What is the missing number in this equation? 175 ÷ 25 = {{ }} ÷ 100

Which expressions are equivalent to 480 ÷ 96?

Use scaling to help you calculate 306 ÷ 9 = {{ }}

Match each number in the equation to the correct keyword: 63 ÷ 7 = 9

Look at the diagram. What is the missing divisor?

What is the missing number in this equation? 24 ÷ 6 = 240 ÷ {{ }}

What is the missing number in this equation? 60 ÷ 12 = {{ }} ÷ 120

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

Lesson outcome