Year 11 - Maths
Checking and securing understanding of reading from context-based graphs
Real-life 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 expand upon knowledge developed in the linear graphs unit. Pupils are introduced to rates of change and the gradient of the tangent as a way of estimating the gradient of a curve.
Lesson Summary
You will learn to interpret graphs that model real-life situations graphically.
Key Notes
- Distance-time graphs can tell you about a journey.
- By reading the graph, you can tell if there is mistake with it.
Vocabulary To Learn
- Rate of change: The rate of change is how one variable changes with respect to another. If the change is constant, there is a linear relationship between the variables.
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 can tell you about a journey. 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 one variable changes with respect to another. If the change is constant, there is a linear relationship between the variables. 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 cannot 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
- Advanced problem solving with real-life graphs Study Guide
- Calculating journeys from linear speed-time graphs Study Guide
- Calculating the rate of change Study Guide
- Checking and securing understanding of drawing distance-time graphs Study Guide
- Distance-time graphs Study Guide
- Efficiently estimating journeys from non-linear graphs Study Guide
- Estimating journeys from non-linear graphs Study Guide
- Estimating the gradient of a curve Study Guide
- Finding the equation of a radius of a circle Study Guide
- Finding the equation of the tangent to a circle Study Guide
- Improving the estimate of the gradient of a curve Study Guide
- Interpreting and drawing more real-life graphs Study Guide
- Interpreting and drawing real-life graphs Study Guide
- Non-linear distance-time graphs Study Guide
- Problem solving with real-life graphs Study Guide
- Speed-time graphs Study Guide
Browse all guides in the Year 11 Maths guide library.