Year 10 - Maths
Parallel and perpendicular lines on coordinate axes
Linear graphs
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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 consider equations that produce parallel or perpendicular graphs and how their equations relate to each other.
Lesson Summary
You will learn to solve problems involving parallel/perpendicular lines on coordinate axes.
Key Notes
- Parallel lines have the same gradient.
- The product of the gradients of two perpendicular lines is -1
- Your knowledge of the geometrical properties of shapes can be applied here.
Vocabulary To Learn
- Perpendicular: Two lines are perpendicular if they meet at right angles.
- Parallel: Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.
Common Mistakes To Avoid
- Pupils may not appreciate all the steps required to prove what type of shape is shown.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Parallel lines have the same gradient. The product of the gradients of two perpendicular lines is -1.
2. Use this key word in a maths sentence and explain it clearly. 'Perpendicular'
Two lines are perpendicular if they meet at right angles. 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 not appreciate all the steps required to prove what type of shape is shown. Correction: A warm-up for the lesson could be to review properties of shapes. Consider describing a shape, one property at a time. How much information is needed before pupils can be certain they know which shape is being described?
More Lessons In This Unit
- Advanced problem solving with linear graphs Study Guide
- Checking and securing understanding of drawing linear graphs Study Guide
- Checking and securing understanding of drawing vertical and horizontal graphs Study Guide
- Checking and securing understanding of finding the equation of the line from coordinates Study Guide
- Checking and securing understanding of finding the equation of the line from the graph Study Guide
- Checking and understanding graphs showing direct proportion Study Guide
- Graphs showing inverse proportion Study Guide
- Identifying perpendicular linear graphs Study Guide
- Parallel linear graphs Study Guide
- Perpendicular linear graphs Study Guide
- Problem solving with linear graphs Study Guide
- Ratios in line segments on coordinate axes Study Guide
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