Year 11 - Maths
Checking and securing understanding of drawing distance-time 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 draw a distance-time graph to model a journey.
Key Notes
- You can sketch a graph based on the information you have been given.
- Important given values should be marked on your sketch.
- On a distance-time graph, a horizontal line means no distance was travelled for that time.
- A slanted line means that the distance from the start is changing over time.
Vocabulary To Learn
- Displacement: Displacement is the distance from the starting point when measured in a straight line.
Common Mistakes To Avoid
- Leaving out key information when sketching graphs.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
You can sketch a graph based on the information you have been given. Important given values should be marked on your sketch.
2. Use this key word in a maths sentence and explain it clearly. 'Displacement'
Displacement is the distance from the starting point when measured in a straight line. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Leaving out key information when sketching graphs. Correction: Although sketches do not need to be to scale they do need to contain all key information. Getting pupils to write these on as coordinate pairs is the clearest way. Sketches still have to be useful for the purpose of a model.
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 reading from context-based 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.