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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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Sharing costs equitably: travelling to school
This is a problem solving lesson, designed to help you assess how well students are able to:
- Solve a real world modelling problem
- Apply proportional reasoning
The problem is set in the context of a journey to school. Here are the features of the problem:
- Each day...
Using proportional reasoning
This lesson develops the concept of classifying relationships between two quantities. In particular, students will:
- Describe a ratio relationship between two quantities
- Compare ratios expressed in different ways
- Use proportional reasoning to solve a real-world problem
An...
Classifying proportional and non-proportional situations
This lesson develops the concept of identifying when two quantities vary in direct proportion to each other. Students enhance their ability to:
- Distinguish between direct proportion and other functional relationships
- Solve proportionality problems using efficient methods
The...
Comparing strategies for proportion problems
This lesson develops the concept of direct proportion and its application to problems. The works addresses the following problems that students might have:
- Use of inappropriate additive strategies in scaling problems.
- Inefficient strategies such as not using a single multiplier for solving...
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 |
