Year 8 · Maths · Multiplicative change · Lesson 2

Conversion graphs

Learn to read and draw conversion graphs for money, distances and lengths, read them in both directions, convert values beyond the graph, and spot direct proportion.

36-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

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What your child will learn

Read a conversion graph in both directions
Work out what one small square on an axis is worth
Convert values that are off the graph using proportion
Draw a conversion graph from one fact
Recognise direct proportion as a straight line through zero

The method

Check what one small square is worth on each axis.
Start on the axis of the unit you have.
Go straight to the line, then straight across or down.
Read the value and write the units.

Key words: conversion graph, axis, scale, direct proportion, exchange rate.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Use the graph to change £10 into euros.

Step 1: What is one small square worth?
Step 2: Start at £10 on the bottom.
Step 3: Across to €12.

Answer: €12

Question 2

Use the graph to change £45 into euros.

Step 1: What is one small square worth?
Step 2: Start at £45 on the bottom.
Step 3: Across to €54.

Answer: €54

Question 3

Use the graph to change €36 into pounds.

Step 1: What is one small square worth?
Step 2: Start at €36 on the side.
Step 3: Down to £30.

Answer: £30