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Centre for Research in Mathematics Education (CRME)
MARS: geometry: Pythagoras’ theorem
This collection features ten resources on the topic of properties of Pythagoras’ theorem.
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.
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.
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Geometry
There a series of short tasks designed to assess how well students understand a range of geometric concepts, including Pythagoras’ theorem.
- Other topics covered comprise:
- Circumference of a circle
- Area of a rectangle
- Angle measure
- Angles at a point
This...
Jane’s tv
This task is designed to assess how well students are able to apply Pythagoras’ theorem.
T.V. screens are measured by their diagonal. The task asks students to give advice about what size T.V. to buy subject to a list of conditions.
This task is from the Mathematics Assessment Resource Service, a...
Discovering the Pythagorean theorem
This lesson develops the concept of Pythagoras’ theorem. In particular students will:
- Use the area of right triangles to deduce the areas of other shapes
- Use dissection methods for finding areas
- Organise an investigation to systematically collect data
- Deduce a generalizable...
Discovering the shortest route across a school yard
This is a problem solving lesson, designed to help you assess how well students are able to:
- Select appropriate mathematics to solve a problem
- Compare and evaluate different methods for solving a problem and make generalizations about the appropriateness of different approaches
- ...
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/cxfg88 |
