Year 10 - Maths
Perimeter and area in a contextual setting
2D and 3D shape: compound shapes
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, knowledge of circles and polygons is drawn upon to find the arc length and area of a circle sector and areas of complex compound shapes.
Lesson Summary
You will learn to apply your knowledge of perimeter and area in order to solve various contextual scenarios.
Key Notes
- Knowledge of perimeter and area is useful for any space management contexts.
- Knowledge of perimeter and area is useful when costing a project.
- For each context, you need to decide whether perimeter or area is relevant.
Vocabulary To Learn
- Perimeter: The perimeter is the distance around a 2D shape.
- Area: The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Common Mistakes To Avoid
- Pupils may struggle to select the correct process of perimeter or area.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Knowledge of perimeter and area is useful for any space management contexts. Knowledge of perimeter and area is useful when costing a project.
2. Use this key word in a maths sentence and explain it clearly. 'Perimeter'
The perimeter is the distance around a 2D shape. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may struggle to select the correct process of perimeter or area. Correction: Pupils should consider whether a space is to be covered in which case it is most likely area.
More Lessons In This Unit
- Area of a sector Study Guide
- Area of compound shapes Study Guide
- Calculating arc length Study Guide
- Checking and securing understanding of area for compound shapes Study Guide
- Checking and securing understanding of area for standard shapes Study Guide
- Checking and securing understanding of circles Study Guide
- Checking and securing understanding of converting between metric and imperial measures Study Guide
- Checking and securing understanding of perimeter for compound shapes Study Guide
- Checking and securing understanding of perimeter for standard shapes Study Guide
- Checking and securing understanding of scales and conversion Study Guide
- Equations from complex shapes Study Guide
- Problem solving with 2D shapes Study Guide
- Problem solving with complex 2D shapes Study Guide
- Shapes on coordinate grids Study Guide
- Shapes within shapes Study Guide
Browse all guides in the Year 10 Maths guide library.