Year 9 - Maths
Modelling with graphs
Graphical representations
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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 draw, interpret and utilise linear graphs to solve problems. This knowledge is further extended to look at intersecting graphs.
Lesson Summary
You will learn to model real-life situations graphically.
Key Notes
- Distance-time graphs tell you how far you have travelled over a period of time.
- By reading the graph, you can tell if there is mistake with it.
- You can sketch a graph based on the information you have been given.
- Important given values should be marked on your sketch.
Vocabulary To Learn
- Rate of change: The rate of change is how quickly one variable changes in relation to another.
- Gradient: The gradient is a measure of how steep a line is, calculated by finding the rate of change in the $$y$$-direction with respect to the positive $$x$$-direction.
Common Mistakes To Avoid
- The line on a distance time graph can go in any direction.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Distance-time graphs tell you how far you have travelled over a period of time. By reading the graph, you can tell if there is mistake with it.
2. Use this key word in a maths sentence and explain it clearly. 'Rate of change'
The rate of change is how quickly one variable changes in relation to another. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The line on a distance time graph can go in any direction. Correction: The line may be horizontal, time changing without a change in distance, but it can not be vertical. That would be a change in distance without a change in time. Additionally, our line cannot go backwards; time is always moving forwards.
More Lessons In This Unit
- Checking and securing understanding of non-linear sequences Study Guide
- Efficiently drawing linear graphs Study Guide
- Equations and their graphs Study Guide
- Exploring the shapes of graphs using technology Study Guide
- Extending thinking about sequences Study Guide
- Graphically solving two linear graphs that intersect Study Guide
- Problem solving with graphical representations Study Guide
- Reading from graphs Study Guide
Browse all guides in the Year 9 Maths guide library.