Orienteering course

Orienteering course

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
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Further Resources
This task is about using vectors to show movement.
man running
Harold is doing an orienteering course.
X marks the place where he starts each new section of the course.
 
a)
First Harold runs 2 kilometres east then 5 kilometres north.

Write the vector which best describes his movement. vector

 
b)
Then he runs 3 kilometres west and 2 kilometres north.
Write the vector which best describes Harold's movement. vector
 
c)
Next Harold runs 1 kilometre east and 4 kilometres south.
Write the vector which best describes his movement. vector
 
d) Finally, he runs 4 kilometres west and 2 kilometres south.

Write the vector which best describes Harold's movement. vector

Task administration: 
This task is completed with pencil and paper only.
Level:
5
Keywords: 
Description of task: 
Students use vectors to describe the movements made by a boy doing an orienteering course.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 
Y11 (10/2001)
a)
 
 
b)
 
 
c)
 
 
d)
4 correct – easy
2-3 correct – easy
Diagnostic and formative information: 
  

Common error

Likely reason
a)
 
 
b)
 
 
c)
 
 
d)
Reverses x and y.