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

Describe the relationship between two factors in a ratio context

Maths

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

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

Which of these statements describe this image?

Write a sentence using 'For every' to describe this pattern

What does the number 12 in this equation $$3 \times 4 = 12$$ represent in relation to this image?

The number of shapes in the basic pattern

What does 3 in this equation $$3 \times 4 = 12$$ represent in relation to this image?

The number of times the pattern is repeated

What does 4 in this equation $$3 \times 4 = 12$$ represent in relation to this image?

You could make this repeating pattern with 44 shapes in total

If you repeated the pattern 8 times you would use 30 shapes in total

Look at the pattern and tick all the statements that are true

What number is one third times the size of 21?

Which of these numbers are divisible by 6?

Describe the relationship between two factors in a ratio context

Lesson outcome