Year 7 - Maths
Area of a trapezium
Perimeter and area
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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 investigate how to calculate the area and perimeter of rectilinear shapes, and composite shapes using rectangles and triangles. They will also derive simple area formulae.
Lesson Summary
You will learn to derive and use the formula for the area of a trapezium.
Key Notes
- The area of some trapezia can be found by using compound shapes.
- It is possible to find a relationship between trapizea and parallelograms.
- The relationship between parallelograms and trapezia can be used to deduce the formula for the area of a trapezium.
- The formula can be used to calculate the area of a trapezium.
Vocabulary To Learn
- Trapezium: A trapezium is a quadrilateral with a pair of parallel opposite sides.
- Trapezia/trapeziums: The plural of trapezium can be referred to as trapezia or trapeziums.
Common Mistakes To Avoid
- Pupils may incorrectly identify the base of the triangle in the trapezium.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The area of some trapezia can be found by using compound shapes. It is possible to find a relationship between trapizea and parallelograms.
2. Use this key word in a maths sentence and explain it clearly. 'Trapezium'
A trapezium is a quadrilateral with a pair of parallel opposite sides. 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 incorrectly identify the base of the triangle in the trapezium. Correction: Drawing a trapezium on paper, colouring the sides and cutting it will help them see where the base of the triangle comes from.
More Lessons In This Unit
- Area of a triangle Study Guide
- Area of composite rectilinear shapes Study Guide
- Calculating missing lengths with perimeter of polygons Study Guide
- Calculating missing side lengths from the area of a trapezium Study Guide
- Calculating missing side lengths from the area of composite rectilinear shapes Study Guide
- Checking understanding of perimeter and area Study Guide
- Finding the perimeter of polygons Study Guide
- Perimeter with composite rectilinear shapes Study Guide
- Problem solving with perimeter and area Study Guide
- Securing understanding of perimeter and area Study Guide
- Using the formula for the area of a triangle Study Guide
Browse all guides in the Year 7 Maths guide library.