A variable is a value which can be represented by more than one number within a situation or equation

Explain how to represent ratio and to calculate unknown values

Maths

Describe the relationship between two factors in a ratio context

Representing ratio in different ways

Use multiplication and division to calculate unknown values in ratio problems

Solve problems involving ratio

Explain how and why scaling is used to make and interpret maps

Use knowledge of multiplication and division to solve scaling problems in a range of contexts

Solve problems involving scaling and ratio

Identify and describe the relationship between regular polygons using scale factors

Identify and describe the relationship between irregular polygons using scale factors

In this unit pupils will describe the relationship between 2 factors using a ratio grid to calculate unknown values They will use their knowledge of multiplication and division to solve scaling problems and identify and describe the relationship between two shapes using scale factors and ratios. In the future unit pupils will link fractions to ratio and look at ratio with exchange and conversions.

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

In this unit pupils will describe the relationship between two factors, representing the relationship in different ways. They will build to using a ratio grid to calculate unknown values.

Ratio and proportion

Each quiz team is made up of 3 adults and 2 children. If there are 8 children taking part, how many teams are there?

Each quiz team is made up of 3 adults and 2 children. If there are 15 adults taking part, how many teams are there?

Each quiz team is made up of 3 adults and 2 children. If there are 7 teams, how many adults are taking part?

Each quiz team is made up of 3 adults and 2 children. If there are 25 people taking part, which equation represents how many of them are children?

Each quiz team is made up of 3 adults and 2 children. Which bar model accurately represents 6 quiz teams?

How many variables are there in the quiz team made up of 3 children and 2 adults?

Which of these numbers are multiples of 6?

A recipe uses 2 eggs for every 5 spoons of flour. If you use 12 eggs, how many spoons of flour will you need?

A recipe uses 2 eggs for every 5 spoons of flour. If you use 25 spoons of flour, how many eggs will you need?

A recipe uses 2 eggs for every 5 spoons of flour. If you use 1 egg, how many spoons of flour will you need?

Explain how to represent ratio and to calculate unknown values

Lesson outcome