Year 10 - Maths
Checking and securing understanding of properties of shapes
Angles
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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 use their knowledge of corresponding, alternate and co-interior angles to reason through and solve more complicated problems.
Lesson Summary
You will learn to identify a shape from its properties and state the properties of a given shape.
Key Notes
- Many shapes have similar properties.
- It is not always clear which shape is being described so more details may be needed.
- Knowing the properties of shapes can help you solve more complex problems.
Vocabulary To Learn
- Parallelogram: A parallelogram is a quadrilateral with two pairs of parallel and equal sides.
- Rhombus: A rhombus is parallelogram where all the sides are the same length.
- Trapezium: A trapezium is a quadrilateral with exactly one pair of parallel sides.
- Equilateral triangle: Equilateral triangles have three equal-sized angles and three edges of equal length. They are regular triangles.
- Isosceles triangle: Isosceles triangles have two angles that are equal. That is also true for its side lengths: two sides are of equal length.
Common Mistakes To Avoid
- Angles facts cannot be used with shapes as shapes have line segments rather than lines.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Many shapes have similar properties. It is not always clear which shape is being described so more details may be needed.
2. Use this key word in a maths sentence and explain it clearly. 'Parallelogram'
A parallelogram is a quadrilateral with two pairs of parallel and equal sides. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Angles facts cannot be used with shapes as shapes have line segments rather than lines. Correction: It is the properties of the lines, such as whether they are parallel, that are important, not their length.
More Lessons In This Unit
- Checking and securing understanding of advanced angle facts Study Guide
- Checking and securing understanding of angle notation and drawing/measuring angles Study Guide
- Checking and securing understanding of basic angle facts Study Guide
- Checking and securing understanding of exterior angles Study Guide
- Checking and securing understanding of interior angles Study Guide
- Checking and securing understanding of polygons Study Guide
- Checking and securing understanding on chains of reasoning with angle facts Study Guide
- Forming equations with angles Study Guide
- Problem solving with angles Study Guide
Browse all guides in the Year 10 Maths guide library.