Drawing motion

Drawing motion

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about drawing pathways of motion.
a)
Two joggers run side-by-side, always staying exactly 1 m apart. The path of the first jogger has been drawn for you.
Draw the path of the second jogger. Scale 1 cm = 1 m.
 
 
b)
Barriers keep people at a distance of 1 m from a priceless statue. The statue has been drawn for you as a circle.
Draw the path of someone walking around the statue keeping as close to the barrier as they can. Scale 1 cm = 1 m.
 
 
c)
Simon is swimming around a 10 m by 4 m wharf always keeping at a distance of 1 m from the wharf. The wharf has been drawn for you as a rectangle.
Draw the path Simon takes as he swims around the wharf. Scale 1 cm = 1 m.
 
Task administration: 
This task can be completed with pencil and paper.
Levels:
4, 5
Curriculum info: 
Maths, Geometry and Measurement, Position and orientation
Keywords: 
locus, loci, pathway
Description of task: 
This task requires students to demonstrate their understanding of locus by drawing in the paths that people follow in three given situations. An understanding of scale is also required to complete this task successfully.
Answers/responses: 

 

Y8 (11/1999)

a)

very easy

b)

very easy

c)

The locus is drawn with curved corners.

The locus is drawn with right angled corners.

very difficult

 

 


 
easy
  

All loci are drawn using the scale 1 cm = 1 m.

easy

NOTE: The corners for the locus drawn at c) should be curved because the locus at the corner is wider than 1 cm if it is drawn as a right angle. The swimmer also could not turn a corner at a right angle.