Year 7 - Maths
Problem solving with perimeter and area
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 use your knowledge of perimeter and area to solve problems.
Key Notes
- Problems in context involving perimeter can be solved.
- Problems in context involving area can be solved.
- The units of measurement should be the same.
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.
- Perimeter: The perimeter is the distance around a 2D shape.
Common Mistakes To Avoid
- Pupils may struggle to determine whether a question is asking about the perimeter or the area.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Problems in context involving perimeter can be solved. Problems in context involving area can be solved.
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 may struggle to determine whether a question is asking about the perimeter or the area. Correction: Encourage pupils to draw a diagram to represent the situation as this can make it clearer as to whether perimeter or area is required.
More Lessons In This Unit
- Area of a trapezium Study Guide
- 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
- 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.