Football wins

Football wins

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working with ratios.
a)
Lions football team jacket
 
The ratio of games won to games played for the Lions football team was 3 : 4.

 
If they played 16 games, how many did they win? ___________
 
b)
hot dogs football team jacket

 
The ratio of games won to games played for the Hot Dogs football team was 5 : 6.

 
If they played 18 games, how many did they win? ___________
 
c)
Tigers football team jacket  

 
The ratio of games lost to games played for the Tigers football team was 1 : 1. They lost 10 games.

 
How many games had they played? ___________

      

 
d)
Jets football team jacket
 
If the Jets football team won 6 games, and their ratio of wins to losses was 2 : 3,

 
how many games had they played? __________

Task administration: 
This task is completed with pencil and paper only.
Level:
5
Keywords: 
Description of task: 
Students calculate the number of games teams win or play in a season from given ratios.
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: 
 

Y9 (05/1997)

Y10 (05/1997)

a) 12  moderate easy
b) 15  difficult easy
c) 10  difficult easy
d) 15  very difficult difficult
Diagnostic and formative information: 
    Student response Likely calculation Likely misconception
a)
b)
8
7
16 × 3/7
18 × 5/11
Takes ratio as wins : loses.
a)
b)
16
17
16 - 3/4
18 - 5/6
Inappropriate use of ratios.
c) 20 10 × 2/1 Takes ratio as loses : wins.
d) 9 6 × 3/2 Number of loses, rather than games played or takes ratio of wins : total games.
d) 18 6 × 3 Applies wrong ratio.