Back to Exercise: Reading, Plotting, and Interpreting Distance-Time Graphs

Exercises: Reading, Plotting and Interpreting Distance-Time Graphs

Use a data table and a graph together where given. Always calculate speed using the change in distance over the change in time for a section, not just the section's endpoint values.

Grade 6·22 problems·~30 min·Uganda NCDC Primary 6 Mathematics·lesson·dts-06

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Recall / Warm-Up

When plotting a point for '2 hours, 30 km' on a distance-time graph, which order do you use?

Plot (30, 2) — distance first, then time.

Plot (2, 30) — time first, then distance.

It does not matter which order you plot them in.

$Blank distance-time graph axes with distance on the vertical axis and time on the horizontal axis$

When drawing a distance-time graph, which axis should distance be placed on?

The horizontal axis, since it is drawn first.

The vertical axis.

Distance can go on either axis, as long as you are consistent.

A journey covers 40 km in 2 hours at a constant speed. If the graph is a straight line from (0,0) to (2,40), what would the distance be at 1 hour?

Fluency Practice

$A distance-time graph rising to 20 km by hour 2, flat until hour 3, then rising to 35 km by hour 4$

Using the graph, what is the distance at 2 hours?

Using the same graph (rising to 20 km by hour 2, flat until hour 3, then rising to 35 km by hour 4), what happened between 2 and 3 hours?

The cyclist rested — the graph is flat, so distance stayed at 20 km.

The cyclist travelled fastest during this section, since it looks different from the rest of the graph.

The cyclist travelled backward.

Using the same graph (rising to 20 km by hour 2, flat until hour 3, then rising to 35 km by hour 4), find the speed during the first section (0 to 2 hours), in km/hr.

Using the same graph, find the speed during the last section (3 to 4 hours), in km/hr.

Using the same graph, what is the total distance covered by the end of the journey?

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