Mountain climbers

Mountain climbers

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about creating a graph of measurement data.

Mount Herbert is 2 000 metres high.

The data in the table below shows the progress, after each hour, of two climbers as they climbed to the top of the mountain.

 

Time (hours)

0

1

2

3

4

5

6

7

Climber 1 distance climbed (metres)

0

500

1150

1400

1600

1800

1950

2000

Climber 2 distance climbed (metres)

0

600

1200

1500

1700

1900

2000

-

Draw an appropriate graph of the data on the axes below:

 

Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
composite graphs, line graphs, time-series, graph construction
Description of task: 
Using data given in a table, students are required to construct a double line graph on the axes provided.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

Scoring:

 

Y8 (11/2002)

1 mark
1 mark
 
 
1 mark
1 mark

2 marks
(for all points plotted with
reasonable accuracy)
or
1 mark
(for 1-2 errors)

A double line graph is drawn.
Appropriate key given, or lines labelled.
NOTE: Remaining marks can be allocated even if line graph has not been drawn.
The x-axis is appropriately scaled using equal intervals.
The y-axis is appropriately scaled using equal intervals.
NOTE: These may be different intervals to those drawn below.

easy
easy
 
 
easy
moderate
 
 
 
difficult
 
 
 
 
 
easy