Graphs

Turning numbers into pictures: plotting straight-line graphs, reading travel graphs (distance-time and speed-time), and finding gradients - a skill used everywhere from kombi timetables to phone data usage charts.

  • Straight-line graphs and gradient
  • Travel graphs
  • Speed-time graphs

Lessons for Graphs

Straight-Line Graphs and Gradient

The equation y = mx + cm is the gradient (steepness - like how steep a hill is on your …

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Travel (Distance-Time) Graphs

Reading the story of a journeyA distance-time graph is like a diary of a kombi's trip: the steeper the line, …

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Speed-Time Graphs

A different storyHere the line's steepness shows acceleration (speeding up or slowing down), not speed itself. Think of it like …

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Exercises for Graphs

Gradient and equations

Find the gradient of the line through (2,5) and (6,13).A line has gradient 3 and y-intercept -2. Write its equation.Find …

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Distance-time graph problems

A car travels 90 km in 1.5 hours at constant speed. Find its speed.A cyclist's graph shows 20 km covered …

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Speed-time graph problems

A car accelerates from 0 to 15 m/s in 5 seconds. Find its acceleration.Using the area-under-graph rule, find the distance …

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