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Algebra · Graphs of functions

Chapter 1 · 3

The idea

Real-life graphs (conversion, cost and travel graphs)

Read real-life graphs both ways: change units with a conversion graph (and scale a reading beyond its edge only when the line starts at zero), read a fixed charge and a cost per hour off a cost graph, compare two tariffs where their lines cross, and turn a travel graph into a story: stops, speeds in km/h, the journey home, drawing the next part, and two journeys on one graph.

A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.

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Algebra · Graphs of functions

Real-life graphs (conversion, cost and travel graphs)

Read real-life graphs both ways: change units with a conversion graph (and scale a reading beyond its edge only when the line starts at zero), read a fixed charge and a cost per hour off a cost graph, compare two tariffs where their lines cross, and turn a travel graph into a story: stops, speeds in km/h, the journey home, drawing the next part, and two journeys on one graph.

Why it works

Reading a graph across and back

Kofi is going to hire a bike and ride to Lake Windle. Three graphs answer everything he wants to know: how far, how much, and when he will be back. The first one changes miles into kilometres.24681012141618202224246810121416182022242628303234363840MilesKilometresThe signpost says the lake is 1010 miles away, but his phone counts kilometres. Start at 1010 on the miles axis, go straight up to the line, then straight across: 1616 km. To go the other way, start on the kilometres axis instead. Before you read anything, check what one small square is worth. Here it is 11 mile across and 11 km up.

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The rest of the explanation, plus 4 worked examples you step through move by move.

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