Year 10 - Maths
Area of compound shapes
2D and 3D shape: compound shapes
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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 find the area of compound shapes involving circles in different ways.
Key Notes
- There are multiple ways to find the area of compound shapes.
- The most efficient method may depend on the features of the shape.
- A method is to break the shape into shapes you can find the area of.
- A method is to complete the shape.
- A method is to rearrange the shape.
Vocabulary To Learn
- Compound shape: A compound shape is a shape created using two or more basic shapes.
- Composite shape: A composite shape is an alternative for a compound 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
- Due to the many thought processes involved with these questions, pupils may end up choosing the incorrect value as the radius for a sector.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
There are multiple ways to find the area of compound shapes. The most efficient method may depend on the features of the shape.
2. Use this key word in a maths sentence and explain it clearly. 'Compound shape'
A compound shape is a shape created using two or more basic shapes. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Due to the many thought processes involved with these questions, pupils may end up choosing the incorrect value as the radius for a sector. Correction: Encourage the use of words in their working e.g. "Diameter of shape A = 4 cm" or "Width of parallelogram = 6 mm" so when the numbers are needed again it is clear what each one is. If needed remind pupils of key word definitions such as radius.
More Lessons In This Unit
- Area of a sector 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
- Perimeter and area in a contextual setting 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.