New

New

Year 11

•

Foundation

# Checking and securing understanding of drawing distance-time graphs

I can draw a distance-time graph to model a journey.

New

New

Year 11

•

Foundation

# Checking and securing understanding of drawing distance-time graphs

I can draw a distance-time graph to model a journey.

## Lesson details

### Key learning points

- You can sketch a graph based on the information you have been given.
- Important given values should be marked on your sketch.
- On a distance-time graph, a horizontal line means no distance was travelled for that time.
- A slanted line means that the distance from the start is changing over time.

### Common misconception

Leaving out key information when sketching graphs.

Although sketches do not need to be to scale they do need to contain all key information. Getting pupils to write these on as coordinate pairs is the clearest way. Sketches still have to be useful for the purpose of a model.

### Keywords

Displacement - Displacement is the distance from the starting point when measured in a straight line.

Some classes may not be ready to look at negative displacement. This only makes up the final part of the second learning cycle. Question 2) in task B can be edited easily by reflecting the final 2 line segments in the $$x$$ axis. The rest of the task should still be accessible to all.

Teacher tip

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

Download starter quiz

### 6 Questions

Q1.

What number is the arrow pointing to on this number line?

Correct Answer: 125

125

Q2.

What number is the arrow pointing to on this number line?

Correct Answer: 136

136

Q3.

The coordinates of the point shown on the axes are (2, ).

Correct Answer: 220

220

Q4.

The coordinates of the point shown on the axes are ( , 100).

Correct Answer: 4.8

4.8

Q5.

Which graph shows a journey where speed is constant throughout?

Correct Answer: An image in a quiz

Q6.

How do we represent an object stopping for part of a journey on a distance-time graph?

A diagonal line with positive gradient

A diagonal line with negative gradient

A curve

Correct answer: A horizontal line

A horizontal line

A vertical line

## Exit quiz

Download exit quiz

### 6 Questions

Q1.

Izzy travelled 12 km in half an hour. Then stopped for 15 minutes. Then travelled another 8 km in 25 minutes. If using these axes what would be the best scale for time?

Steps of 2 minutes

Steps of 5 minutes

Correct answer: Steps of 10 minutes

Steps of 10 minutes

Steps of 20 minutes

Steps of 30 minutes

Q2.

Izzy travelled 12 km in half an hour. Then stopped for 15 minutes. Then travelled another 8 km in 25 minutes. What would be the problem with using steps of 2 km on these axes?

Correct answer: The journey would not fit on the graph.

The journey would not fit on the graph.

The graph would be really small and not make use of the space.

The coordinates would be between gridlines and difficult to plot.

Q3.

Izzy travelled 12 km in half an hour. Then stopped for 15 minutes. Then travelled another 8 km in 25 minutes. What might be the difficulty with using steps of 5 km on these axes?

The journey would not fit on the graph.

The graph would be really small and not make use of the space.

Correct answer: The coordinates would be between gridlines and difficult to plot.

The coordinates would be between gridlines and difficult to plot.

Q4.

When might you use a displacement-time graph instead of a distance-time graph?

When all the travel is in the same direction.

When you want to know how long the journey has taken in total.

When you want to know how far the journey was in total.

Correct answer: When you want to know when the object has changed direction.

When you want to know when the object has changed direction.

Q5.

On this displacement-time graph what does the line segment marked a) represent?

Object is stationary.

Moving away from a fixed start point at a constant speed.

Correct answer: Moving back towards a fixed start point at a constant speed.

Moving back towards a fixed start point at a constant speed.

Object's speed is increasing.

Object's speed is decreasing.

Q6.

On this displacement-time graph what does the line segment marked b) represent?

Moving away from a fixed start point in the opposite direction.

Correct answer: Moving towards a fixed start point from the opposite direction.

Moving towards a fixed start point from the opposite direction.

Travelling upwards from a position below ground.

An impossible journey as distance cannot be negative.