BIG IDEA: Ratio and Proportion
Burning question:
Two matchsticks have the same length as three bottle tops.
How many bottle tops will have the same length as 50 matchsticks?
Simplify
8:24
8÷8=1
24 ÷ 8 = 3
1:3
• What ratio? What is proportion? When do we need to use ratio and proportion?
• How can I represent ratio and proportion?
• How can I record ratio using the correct notation?
• How can I simplify ratios?
• How can I use ratios to share amounts?
• How can I use ratio to solve problems?
• How can I use proportion to solve problems?
Can I answer the burning question?
In my learning I will:
Use the correct vocabulary when explaining my reasoning.
Make sensible estimates
Apply my learning to different scenarios and contexts, throughout the journey.
8:3
A price is shared in the ratio 3:2 between Tom and Jay. How much does each boy get?
Find the number of shares
3+2=5
Find the value of each share
£200 ÷ 5 = £40
Work out how much each gets
3 x £40 = £120 (Tom)
2 x £40 = £80 (Jay)