A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole

For every allows you to talk about the relative sizes of the values e.g. for every 2 squares there is 1 triangle

Use multiplication and division to calculate unknown values in ratio problems

Maths

Describe the relationship between two factors in a ratio context

Representing ratio in different ways

Explain how to represent ratio and to calculate unknown values

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

A quiz team is made up of 2 adults and 3 children. How many quiz teams does this image represent?

How many children are represented in this image?

How many adults are represented in this image?

How many people in total are represented in this image?

The number of people doing the quiz altogether

What does the 5 in this equation represent in the image? $$5 \times 4 = 20$$

What does the 4 in this equation represent in the image? $$5 \times 4 = 20$$

Which phrases describe the quiz team in this image

Each quiz team is made up of 3 adults and 4 children. If there are 35 people taking part, which equation represents how many of them are adults?

 Each quiz team is made up of 3 adults and 4 children. If there are 5 teams taking part, how many children will there be in total?

Use multiplication and division to calculate unknown values in ratio problems

Lesson outcome