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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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Shelves
This task is designed to assess how well students understand proportional reasoning and how it relates to graphs.
The task is set in the context of making shelves by using planks of wood supported by three bricks at each end. Students investigate both the materials and costs involved for making different...
Comparing value for money: baseball jerseys
This is a problem solving lesson, designed to help you assess how well students are able to:
- Interpret a situation and represent the variables mathematically
- Interpret and evaluate the data generated and identify the break-even point
The problem is set in the context of the cost...
Sale
This task is designed to assess how well students understand value for money and relating this to a graph.
A graph is presented with six points. The graph plots price against weight for different bags of sugar. Students answer various questions relating the weight and price of bags. They must then determine...
T-shirt sale
This task is designed to assess how well students understand percentage calculations and special offers.
The task shows three T-shirts with different prices. A special offer states that all three may be purchased together for a discounted price. There are various tasks to complete, including calculating the...
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| 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 |
