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MARS: geometry: congruence and similarity
This collection features four resources on the topic of congruence and similarity.
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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Identifying similar triangles
This lesson develops the concept of identifying similar triangles. In particular students will:
- Use facts about the angle sum and exterior angles of triangles to calculate missing angles
- Apply angle theorems to parallel lines cut by a transversal
- Interpret geometrical diagrams using...
Hopewell geometry
This task is designed to assess how well students understand similar triangles, using Pythagoras’ theorem, and using trigonometry to find angles.
The Hopewell people were Native Americans whose constructed earthworks using right triangles. The task shows eight right triangles.
The first tasks are to...