Airport departures

Airport departures

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
The table shows the number of planes taking off from an airport one Friday evening.
 

TIME PERIOD NO. OF PLANES
3:00 – 3:30 p.m.
3:30 – 4:00 p.m.
4:00 – 4:30 p.m.
4:30 – 5:00 p.m.
5:00 – 5:30 p.m.
5:30 – 6:00 p.m.
6:00 – 6:30 p.m.

 

a) During which half-hour period did the least number of planes take off? __________

b)
Between 4:00 and 6:00 p.m., how many planes in total took off? __________

c)

During which 1-hour period did the greatest number of planes take off?
 
  (A)  3:00 – 4:00
(B)  3:30 – 4:30
(C)  4:00 – 5:00
(D)  4:30 – 5:30
(E)  5:00 – 6:00

 

Task administration: 
This task is completed with pencil and paper only.
Level:
3
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
tally charts, table interpretation
Description of task: 
This task requires students to answer questions about a tally chart of the number of planes taking off from an airport.
Curriculum Links: 
This resource can be used to help to identify students' ability to interpret a frequency table.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 4
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  Y6 (09/1997)
a) 6:00 – 6:30 p.m. very easy
b) 37 moderate
c) B difficult

 

Diagnostic and formative information: 
  Common errors Likely reason
b) 43 Interprets question as "take-offs after 4:00 p.m." (i.e., includes 6:00 – 6:30 p.m.)
c) C Interprets "hour periods" to start on the hour (i.e., rejects 3:30 – 4:30 p.m., etc.