Year 11 - Maths
Calculating journeys from linear speed-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 deduce that the area under a speed-time graph gives the distance travelled and deduce how this may be calculated.
Key Notes
- Distance travelled is calculated by multiplying speed and time.
- This is represented on a speed-time graph by the area bound by the graph and the x axis.
- Calculating this area gives the total distance travelled.
Vocabulary To Learn
- Compound shape: A compound shape is a shape created using two or more basic shapes.
Common Mistakes To Avoid
- Calculating area by counting squares rather than looking at the scales.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Distance travelled is calculated by multiplying speed and time. This is represented on a speed-time graph by the area bound by the graph and the x axis.
2. Use this key word in a maths sentence and explain it clearly. 'Compound shape'
A compound shape is a shape created using two or more basic shapes. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Calculating area by counting squares rather than looking at the scales. Correction: Remind pupils that often on speed-time graphs the scales on the axes will be different. Check the scales before calculating distance. Check the final answer is realistic in context.
More Lessons In This Unit
- Advanced problem solving with real-life graphs Study Guide
- Calculating the rate of change Study Guide
- Checking and securing understanding of drawing distance-time graphs 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.