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

Solve problems involving ratio

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

Use multiplication and division to calculate unknown values in ratio problems

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 3 adults and 2 children. If there are 45 people in total, how many teams are taking part?

A quiz team is made up of 3 adults and 2 children. If there are 45 people in total. Which equation represents the number of teams there are taking part?

The problem below can be solved using this equation $$45 \div 5 = 9$$. What does the 45 represent in this equation?

The problem below can be solved using this equation $$45 \div 5 = 9$$. What does the 5 represent in this equation?

The problem below can be solved using this equation $$45 \div 5 = 9$$. What does the 9 represent in this equation?

One team is 3 adults and 2 children. If there are 45 people in total, how many teams are taking part? 

For every 2 marbles Alex has, Aisha has 3 marbles. What is the missing value in this table?

Which equation will you need to calculate the missing value?

The number of times the marbles have been shared out

The total number of marbles in the basic ratio

The circled value in the image can be represented by the equation $$5 \times 6 = 30$$. What does the 5 in the equation represent?

The circled value in the image can be represented by the equation $$5 \times 6 = 30$$. What does the 6 in the equation represent?

Solve problems involving ratio

Lesson outcome