About This Resource
This structured problem solving resource is designed for secondary students to apply Pythagoras’ theorem alongside area and perimeter. The problem is set in a real-life context: calculating the cost of laying a patio. Students need to find area and perimeter and use Pythagoras to complete the task.
The resource is ready to project for whole-class or group work. All problems include complete answers for quick marking and self-assessment.
Topics Covered:
Pythagoras and area.
Curriculum Links
This resource supports the following areas of the National Curriculum for KS3/KS4:
- Geometry: Use Pythagoras’ theorem to find lengths in right-angled triangles
- Area and perimeter: Calculate area and perimeter of 2D shapes in context
- Problem Solving: Solve real-life problems involving Pythagoras, area and perimeter
- Reasoning: Develop mathematical reasoning and multi-step problem solving
How to Use This Resource
Access and Project
Click the access button to open the resource. Project it for your class — no printing required. The resource is ready to use for whole-class or group discussion.
Introduce the Problem
Work through the patio problem with your class. Students will need to use Pythagoras, calculate area and perimeter, and apply their answers to find a cost.
Review and Assess
Use the included answers to check solutions or allow students to self-assess. The problem is designed to reinforce Pythagoras, area and perimeter in a single context.
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