Year 10 - Maths
Checking and securing understanding of area for standard 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 calculate the area of rectangles, triangles, parallelograms and trapeziums efficiently.
Key Notes
- The formula for the area of a rectangle is bh
- The formula for the area of a parallelogram is bh
- The formula for the area of a triangle is bh ÷ 2
- The formula for the area of a trapezium is ((a+b)h) ÷ 2
Vocabulary To Learn
- Area: The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
- Trapezium: A trapezium is a quadrilateral with exactly one pair of parallel opposite sides. The plural of trapezium can be referred to as trapezia or trapeziums.
Common Mistakes To Avoid
- Pupils might find the area of parallelograms and triangles by multiplying the length of two adjacent edges which are not perpendicular.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The formula for the area of a rectangle is bh. The formula for the area of a parallelogram is bh.
2. Use this key word in a maths sentence and explain it clearly. 'Area'
The area is the size of the surface and states the number of unit squares needed to completely cover that surface. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils might find the area of parallelograms and triangles by multiplying the length of two adjacent edges which are not perpendicular. Correction: Calculating the area of a shape involves multiplying two perpendicular lengths. These may not be horizontal and vertical in the shape's initial orientation.
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 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.