Year 10 - Maths
Graphs showing inverse proportion
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 recognise inverse proportion graphically and can interpret graphs that illustrate inverse proportion.
Key Notes
- Inverse proportion can be recognised graphically.
- The equation of an inverse proportion graph is of the form y = k/x
- An alternative way of writing the equation is y α 1/x
Vocabulary To Learn
- Inverse proportion: Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the reciprocal of the other.
Common Mistakes To Avoid
- Solutions for context-based problem can be listed as coordinate pairs with units e.g. 6 workers, 60 hours.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Inverse proportion can be recognised graphically. The equation of an inverse proportion graph is of the form y = k/x.
2. Use this key word in a maths sentence and explain it clearly. 'Inverse proportion'
Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the reciprocal of the other. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Solutions for context-based problem can be listed as coordinate pairs with units e.g. 6 workers, 60 hours. Correction: Solutions should always be fully interpreted in relation to the context e.g. It would take 6 workers 60 hours to paint the building.
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
- 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.