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Learning objective

1. Utilize and understand graphs in real-world contexts, including estimating and interpreting the gradient of a tangent at a specific point, as well as working with travel and conversion graphs. 2. Create graphs based on provided data. 3. Use the concept of rate of change in basic kinematics, focusing on distance-time and speed-time graphs, including acceleration and deceleration. 4. Determine the distance traveled by calculating the area under a speed-time graph, considering only linear segments of the graph.

Read the explanation, check the common trap, then practise with flashcards and questions.

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended Algebra and graphsSupplement content

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Quick explanation

1. Utilize and understand graphs in real-world contexts, including estimating and interpreting the gradient of a tangent at a specific point, as well as working with travel and conversion graphs. 2. Create graphs based on provided data. 3. Use the concept of rate of change in basic kinematics, focusing on distance-time and speed-time graphs, including acceleration and deceleration. 4. Determine the distance traveled by calculating the area under a speed-time graph, considering only linear segments of the graph

  • This point belongs to Graphs in practical situations, especially Graphs in practical situations outcomes.
  • You need to be able to 1. Utilize and understand graphs in real-world contexts, including estimating and interpreting the gradient of a tangent at a specific point, as well as working with travel and conversion graphs. 2. Create graphs based on provided data. 3. Use the concept of rate of change in basic kinematics, focusing on distance-time and speed-time graphs, including acceleration and deceleration. 4. Determine the distance traveled by calculating the area under a speed-time graph, considering only linear segments of the graph.
  • The key ideas to know are Calculate, Determine, and Plot.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDeterminePlotShow

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This objective helps connect Graphs in practical situations outcomes to exam-style questions, flashcards, and revision notes for Graphs in practical situations.

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Paper 2 structured question: Graphs in practical situations

Paper 2Core or Extended Mathematics3 marks

Diagram Description

Distance-Time Graph

The graph shows distance (in km) on the vertical axis and time (in hours) on the horizontal axis. The curve starts at the origin (0,0), rises steeply at first, then the slope decreases gradually.

Time (hours)Distance (km)
00
160
2100
3120
  1. a

    Calculate Estimate the speed of the car at t = 2 hours by finding the gradient of the tangent to the curve at that point.

    Aim for approximately 3 distinct marking points.

    [3]
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