Hemi's bike trip

Hemi's bike trip

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about interpreting a line graph.
 
Hemi leaves home on his new mountain bike. The graph above shows his trip.
Use the graph to help answer the following questions about each stage of the trip.
 
a)
Stage 1:
  i)
How far did Hemi travel? __________ km
 
  ii)
How long was he travelling for? __________ minutes
 
b)
Stage 2:
  i)
How long did this stage last? __________ minutes
 
  ii)
What do you think Hemi might have been doing in Stage 2?
 
 
 
 
 
c) Stage 3:
  i)
How far did Hemi travel? __________ km
 
  ii)
How did his speed compare with his speed in Stage 1:
 
   
(A)
(B)
(C)
It was slower 
It was the same
It was faster
 
  iii)
Where was Hemi at the end of Stage 3? __________
 
d) i)
How far was the whole trip? __________ km
 
  ii) How long did the whole trip take? __________ minutes
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
graph interpretation, line graphs, distance-time graphs, speed
Description of task: 
Students interpret a graph of a bike trip to answer questions about time and distance.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Patterns and relationships, sets 5-6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

  

Y8 (04/1997)

Y9 (04/1997)
3

i)
ii)

3
10

moderate
moderate

easy
moderate

b)

i)
ii)

5
Not moving forward (e.g., stopping, eating, drinking, etc.).

moderate
difficult

easy
moderate

c)

i)
ii)
iii)

3
A
He was back home.
[Do not accept at the end of his trip.]

difficult
easy
moderate

moderate
easy
moderate

d)

i)
ii)

6
45

difficult
very easy

difficult
very easy

 

Diagnostic and formative information: 
  Student response Likely misconception
a) ii) 45 Time for whole trip, not Stage 1.
b) i)
ii)		 15

  • Same speed
  • On a hill
  • Changes speed
 Time for Stages 1 and 2.
Fails to recognise Hemi has stopped.
d) i) 3
9		 Distance of outwards trip only.
3 × 3 km – assumes each stage is 3 km.