Year 10 - Maths
Advanced problem solving with linear graphs
Linear graphs
Study Hub
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 pupils consider equations that produce parallel or perpendicular graphs and how their equations relate to each other.
Lesson Summary
You will learn to use your knowledge of linear graphs to solve problems.
Key Notes
- Knowledge of the geometric properties of shapes can be used here.
- Knowledge of ratio can be used here.
Vocabulary To Learn
- Tangent (of a circle): The tangent (of a circle) is a line that intersects the circle exactly once.
Common Mistakes To Avoid
- P is a point such that AP : PB is in the ratio of 1 : 3 means that point P is a third of the distance of AB from A.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Knowledge of the geometric properties of shapes can be used here. Knowledge of ratio can be used here.
2. Use this key word in a maths sentence and explain it clearly. 'Tangent (of a circle)'
The tangent (of a circle) is a line that intersects the circle exactly once. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: P is a point such that AP : PB is in the ratio of 1 : 3 means that point P is a third of the distance of AB from A. Correction: There are 4 equal parts in total, meaning that point P is a quarter of the distance of AB from A.
More Lessons In This Unit
- 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 and perpendicular lines on coordinate axes 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
Browse all guides in the Year 10 Maths guide library.