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Learning pack · IGCSE handout

Speed and Travel Graphs

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Distance–time and speed–time graphs tell stories of journeys: gradient and area under the graph carry the meaning.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

Files: 26_speed_and_travel_graphs_handout.pdf · 26_speed_and_travel_graphs_handout_answers.pdf

Full topic summary

Distance–time and speed–time graphs tell stories of journeys: gradient and area under the graph carry the meaning.

Key learning points

  • Distance–time: gradient = speed; horizontal = stationary.
  • Speed–time: gradient = acceleration; area under graph = distance.
  • Average speed = total distance ÷ total time (not the mean of speeds).

Worked example 1 — Average speed

120 km120\,\mathrm{km} in 2.5 h2.5\,\mathrm{h}. Average speed?

Working

48 km/h48\,\mathrm{km/h}

Total distance ÷ total time.

Worked example 2 — Distance-time gradient

Rises 30 km30\,\mathrm{km} in 0.5 h0.5\,\mathrm{h}. Speed?

Working

60 km/h60\,\mathrm{km/h}

Gradient = speed.

Worked example 3 — Area under speed-time

Speed 20 m/s20\,\mathrm{m/s} for 8 s8\,\mathrm{s}. Distance?

Working

160 m160\,\mathrm{m}

Area = distance.

🎬 Topic videos

  • Matt Explains: Binomial Coefficients [featuring: choose function, pascal's triangle]

    Stand-up Maths · 12 min

    Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.

  • Beautiful Visual Explanation of Completing the Square

    Eddie Woo · 4 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Why do all random graphs end up identical?

    Stand-up Maths · 22 min

    Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.

  • Basic Linear Functions - Math Antics

    Math Antics · 13 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Function Notation

    Eddie Woo · 10 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Introduction to Coordinate Geometry (1 of 2: The Cartesian Plane)

    Eddie Woo · 12 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

More Lower Secondary packs

Browse the hub Learning Packs & Summary, or open the compact Speed and Travel Graphs summary.

Speed and Travel Graphs — Learning pack