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Centre for Research in Mathematics Education (CRME)
MARS: proportional reasoning
The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.
This collection features fifteen resources on the topic of proportional reasoning.
The resources feature:
- Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
- Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
- Tasks that provide mathematically rich problems that come with work for students to peer assess.
Resources
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Ratios and proportional relationships
This series of short tasks is designed to assess how well students understand proportional reasoning in practical contexts. The contexts featured include:
- Relating a photograph to its negative
- Water used by a washing machine
- Coffee powder and cups of coffee made
- Stamp...
25% sale
This task is designed to assess how well students understand repeated percentage reduction.
The task begins with reducing the price of a jacket by 25%. The sale price of the jacket reduces by 25% on a further three occasions. A statement is made that ‘four reductions of 25% must mean the jacket is then free...
100 People
This task is designed to assess how well students understand applying proportional reasoning to humanitarian statistics.
In the 1990s researchers calculated that if there were just 100 people in the world
- There would be 20 children
- 25 people would not have food and shelter
- 17...
A million dollars
This task is designed to assess how well students understand proportional reasoning.
The task is centred around burgers costing $3.50 and $1 000 000. Students must calculate various quantities related to the two initial figures. As an example, one question asks;
‘How many years does it take to earn...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 11-14 |
| Published | 2010 to 2019 |
| Published by | 
Submitted by Anna Richardson on
|
| Collections | |
| Direct URL | https://www.stem.org.uk/cxfggt |
