Graphing relationships

Graphing relationships

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about identifying and graphing ordered pairs.

 

a)
Write down all the ordered pairs for the relationship 'is a multiple of" in the mapping diagram above.
The first one has been done for you. (2,2)
 
b)
Complete the graph below to show this relationship. The first one has been done for you.

Ordered Pairs

 

Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
relationships, co-ordinates, rules, graph interpretation
Description of task: 
Students identify and graph ordered pairs for the relationship ‘is a multiple of’.
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: 
 

Y9 (02/2002)
a) (3,3), (4,2), (4,4), (5,5), (6,2), (6,3), (6,6)
[Errors may include:

  • transposition of x and y in the ordered pairs. If the transposition is consistent in all pairs regard as 1 error;
  • omission, addition, or repetition of ordered pairs regarded as 1 error.]

easy

easy
b)
Ordered Pairs
 

[Accept:

 
  • plotted ordered pairs that are consistent with answers in a);
  • correct ordered pairs in b) if answers in a) are omitted.]

[Errors may include:

  • transposition of x and y in plotting of the ordered pairs. If the transposition is consistent in all pairs regard as 1 error;
  • omission of one point;
  • a point incorrectly plotted;
  • additional point plotted.]

difficult
 
 
 
moderate
Diagnostic and formative information: 
  

Common error

a)

Transposition of the x and y in writing the ordered pair.

b)

Transposition of the x and y in plotting the ordered pair.
Next steps: 
Extension
Continuing this graph further will illuminate prime and composite numbers.