A scale is used to show how the distances on a map or plan relate to distances in real life

Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor

A double number line is used to show the relationship between two values, in this case, the distances on the plan and those in real life

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

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

Solve problems involving ratio

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

How far is it from the mountains to the treasure? For every 1 square side on the map there are 4km on the island.

Which equation represents the distance from the mountains to the treasure? For every 1 square side on the map there are 4km on the island.

How far is it from the mountains to the palm tree? For every 1 square side on the map there are 4km on the island.

Which equation represents the distance from the mountains to the palm tree? For every 1 square side on the map there are 4km on the island.

For every 1 cm on the map there is 1 km on the island

For every 1 cm on the may there are 3 km on the island

For every 4 km on the island there is 1 cm on the map

What scale is represented by this double number line?

What is the missing number a on the double number line?

This is a list of factors for a whole number less than 50: {1, 2, 3, 4, 6, 8, 9, 12, 18, ?}.  The number itself is missing from the list. What is the number?

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

Lesson outcome