Year 10 - Maths
Checking and securing understanding of perimeter 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 perimeter of rectangles, triangles, parallelograms and trapeziums efficiently.
Key Notes
- The perimeter of any polygon can be found by adding but this may be time consuming.
- By considering the properties of the shape, there may be a more efficient method.
- There is a formula to find the perimeter of rectangle.
- Missing side lengths can be found if the perimeter is known.
Vocabulary To Learn
- Perimeter: The perimeter is the distance around a 2D shape.
- Polygon: A polygon is a flat (2D), closed figure made up of straight line segments.
Common Mistakes To Avoid
- "To find the perimeter, you just add together the numbers that you see."
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The perimeter of any polygon can be found by adding but this may be time consuming. By considering the properties of the shape, there may be a more efficient method.
2. Use this key word in a maths sentence and explain it clearly. 'Perimeter'
The perimeter is the distance around a 2D shape. 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 perimeter, you just add together the numbers that you see.". Correction: The perimeter of a polygon is the sum of the lengths of all the sides of that shape. Not all sides have their lengths explicitly written. This could be due to sides having equal length, and the lengths of some sides shown with hash marks.
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 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 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.