Module 4  Proportion  
Module Content  Lesson Resources  Lesson Plans  Exam Questions  Probing Questions 
NRICH: Cereal
Mix 
NRICH: Fractions
Jigsaw NRICH: Peaches Today, Peaches... NRICH: Matching FDP NRICH: Fraction Card Game 4 NRICH: Andy’s Marbles NRICH: Would you Rather? NRICH: Mathland Election NRICH: A Change in Code NRICH: An Unhappy End 
NRICH: John's
Train Is on Time NRICH: Up and Across NRICH: Buses NRICH: Far horizon NRICH: Swings and Roundabouts NRICH: Cubestick NRICH: Three by One NRICH: Nicely Similar NRICH: Two Ladders 
Extras 
Links in Proportional Reasoning  Watch this Video 

All of these topics can be taught using one technique as
they all involve scaling numbers up and down. This approach
requires pupils to summarise the question, identify and
interpret the key pieces of information and pair up the
given values and then to perform a single division and
multiplication each time.
This method should be introduced by using some simple examples such as 1 book costs £4 leading to

These are 4 examples of completed questions using the previous grid
Proportion Problems Compare the prices of various liquids – milk, petrol etc… 

Introducing the link between Fractions, Decimals and Percentages Artwork and FDP – Click here 

Unitary Method
Find a calculation that starts with 300 and ends with 50 by
only moving horizontally or vertically.

This then leads onto the following method which shows the functions to say calculate the price of 11 cakes given the price of 8


Speed Camera MathsSpeed Cameras are so last century: discerning law enforcement agencies favour the Average Speed Camera!
These motorway delights timestamp when you go through
certain checkpoints and calculate your speed between them.
No complicated laser guns required, just number plate
recognition and a little distance/time calculation For lesson ideas  Click here
Which lemonade is stronger?
200ml lemon juice and 300ml of water or

Ratio
The Golden Ratio
Ratios with Multilink Using multilink provides pupils with an opportunity to manipulate the cubes to develop a deeper understanding of the concept of ratio


Percentages [Thanks to Jo @mathsjam http://www.resourceaholic.com/] Percentage of an amount  ever wondered why?  JustMaths Percentage Change Chain  Michael Sharman on TES Key Stage 3 percentages activities from Teachit Maths Compound percentages activities from Teachit Maths Percentages Inquiry  Inquiry Maths Percentages Revision  rogradymaths.blogspot.co.uk 


Ratio and Proportion Ratio and Proportion match cards  Mr Barton Simplifying ratio bingo/match cards, student sheet, notes, slides  Nuffield Foundation Ratio code breaker  Teachit Maths Simplifying ratio hidden message  jhofmannmaths on TES Making shortbread  Teachit Maths Proportion bursts  Teachit Maths The language of ratio  Teachit Maths Direct or inverse proportion?  Teachit Maths Proportion matching cards  source unknown (apologies to author) Ratio and Proportion workout  Teachit Maths Breakfast shift  reallife inverse proportion lesson  Nyima Drayang on TES 


Speed [Thanks to Jo @mathsjam http://www.resourceaholic.com/] Speed activity  The Chalk Face
Interpreting DistanceTime Graphs  Maths
Assessment Project (activities at the back)

Are these bars in proportion and how can you convince someone?


Enlargement Length, Area and Volume Scale Factors Great starter activity – Click here
