Pies and buses

Pies and buses

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources

     

a)
Graphs 1 and 2 show the weekly pie sales at Nightcaps and Lumsden Schools. 
Compare the pie sales and the trends in sales between the two schools over the weeks shown.
 
 
 
 
 
 
 
 

 

     

b)
Graphs 3 and 4 show the bus pass sales at Nightcaps and Lumsden Schools.
Compare the bus pass sales and the trends in sales between the two schools over the years shown.
 
 
 
 
 
 
 
 
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Statistics, Statistical investigations
Key Competencies: 
Thinking, Using language, symbols, and texts
Keywords: 
graph interpretation, line graphs, time-series
Description of task: 
Students are required to compare sales represented on line graphs of the total sales and the pattern of sales over time.
Curriculum Links: 
Key competencies
This resource involves exploring and using patterns and relationships in data and communicating their findings. These relate to the Key Competencies: Thinking and Using language, symbols and text.

For more information see https://nzcurriculum.tki.org.nz/Key-competencies

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: 

 

  

Y10 (11/2002)

1 mark
 
1 mark

 a)

Nightcaps sold more pies than Lumsden or similar
statement.
The pattern of sales between the schools followed
a similar trend, (showed little variation) or similar
statement.
NOTE: Do not accept if students give actual details of individual weeks, i.e., if they start arguing details. E.g., every 2nd week sell less, week 1 and week 5 showed …

easy
 
difficult

2 marks
or
 
1 mark

 b)

Decline in bus passes for both schools by the same
amount or similar statement, (they may or may not
mention a variation in sales).
Bus pass sales are the same, but there is no mention of a decline (they may or may not mention a variation in sales).

 very difficult

moderate
Diagnostic and formative information: 
  Common error Likely misconception
a) Statements giving actual details of individual weeks. Does not actually look at the overall trend.
b) Statement highlighting a decline in bus pass sales and some variation between the schools.
Statement highlighting Nightcaps slow decline (or staying steady) and Lumsdens fast decline in sales.		 Does not compare the y-axis scales.