Year 8 - Maths
Area of composite shapes
Perimeter, area and volume
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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 pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.
Lesson Summary
You will learn to solve area problems of composite shapes involving whole and/or part circles.
Key Notes
- The area parts of a circle can be found using the area formula and reasoning.
- The area of shapes made from circles and parts of circles can be found.
- The area of composite shapes that include circles can be found.
Vocabulary To Learn
- sector: A sector is the region formed between two radii and their connecting arc.
Common Mistakes To Avoid
- To find the area of a quarter-circle divide the radius by 4 to use as part of the calculation.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The area parts of a circle can be found using the area formula and reasoning. The area of shapes made from circles and parts of circles can be found.
2. Use this key word in a maths sentence and explain it clearly. 'sector'
A sector is the region formed between two radii and their connecting arc. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: To find the area of a quarter-circle divide the radius by 4 to use as part of the calculation. Correction: You must divide the area by 4, not the radius. The radius gets squared when calculating area so the division of r would be applied twice.
More Lessons In This Unit
- Area of a circle Study Guide
- Checking understanding of area Study Guide
- Checking understanding of perimeter Study Guide
- Circumference of a circle Study Guide
- Finding a length in composite shapes Study Guide
- Multiplicative relationships in circles Study Guide
- Perimeter of composite shapes Study Guide
- Problem solving with perimeter, area and volume Study Guide
- Properties of prisms Study Guide
- Surface area of cuboids Study Guide
- Surface area of cylinders Study Guide
- Surface area of prisms Study Guide
- Using the formula for the area of a circle Study Guide
- Volume of cylinders Study Guide
- Volume of prisms Study Guide
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