Year 10 - Maths
Shapes on coordinate grids
2D and 3D shape: compound shapes
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Study Guides
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 perimeter and area of shapes on coordinate grids.
Key Notes
- Shapes on coordinate grids do not often have their measurements clearly written.
- Instead, you are expect to calculate the desired lengths.
- This may involve Pythagoras' theorem, shape properties or equations of lines for example.
Vocabulary To Learn
- Equation of a straight line: An equation of a line is any equation whose graph forms a straight line. These equations can be written in the form y = mx + c.
Common Mistakes To Avoid
- "The graphs of two straight line equations should always intersect at integer points on a coordinate grid."
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Shapes on coordinate grids do not often have their measurements clearly written. Instead, you are expect to calculate the desired lengths.
2. Use this key word in a maths sentence and explain it clearly. 'Equation of a straight line'
An equation of a line is any equation whose graph forms a straight line. These equations can be written in the form y = mx + c. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: "The graphs of two straight line equations should always intersect at integer points on a coordinate grid.". Correction: The location with which the graphs of two straight line equations intersect can be found by simultaneously solving the pair of equations. The graphs of two straight line equations can intersect at either integer or non-integer values.
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
- 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 within shapes Study Guide
Browse all guides in the Year 10 Maths guide library.