Year 10 - Maths
Equations from complex 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 form and solve equations with more complex shapes.
Key Notes
- Sometimes you are given a problem with insufficient information to reach a numerical value.
- Depending on the problem, it may be possible to write more than one equation.
- It is possible these equations can be combined to write a new, more succinct, equation.
Vocabulary To Learn
- Equation: An equation is used to show two expressions that are equal to each other.
- Perimeter: The perimeter is the distance around a 2D shape.
- Area: The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Common Mistakes To Avoid
- Some pupils may have an equivalent algebraic expressions without noticing.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Sometimes you are given a problem with insufficient information to reach a numerical value. Depending on the problem, it may be possible to write more than one equation.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show two expressions that are equal to each other. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Some pupils may have an equivalent algebraic expressions without noticing. Correction: Tell pupils to always check if their expressions can be simplified or factorised before deeming themselves incorrect.
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 perimeter for standard shapes Study Guide
- Checking and securing understanding of scales and conversion 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.