Clothing combinations II

Clothing combinations II

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about finding all possible combinations.
How to do this task
Pirika can wear lots of different outfits by mixing different coloured caps, shirts, and shorts. Pirika has 2 pairs of shorts, 3 shirts, and 2 caps.

  • Cut out the cardboard figure and all the clothes.
  • Use the labels on each piece of clothing to record your combinations.
  • Work out all the different sets of clothes that Pirika can wear and write each one down on your recording sheet.

The first one has been done for you.

 
GC, BS, BSS  
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

 

Task administration: 
This task is completed with pencil and paper, and other equipment.
 
Equipment:
One set of clothes and figure (copied onto light card); scissors.
  • This task assesses students' ability to investigate the different combinations for a set of clothes.
  • This assessment activity can be carried out with one student at a time or by observing a group of students working independently.
  • You may wish to cut out the figure and/or the clothing prior to carrying out this task.
  • Model the first set of clothing (grey cap, black shirt, and black shorts) on the cardboard figure.
  • The items of clothing have been labelled with the following abbreviations to help students with the recording – grey cap (GC), black cap (BC), grey shirt (GS), white shirt (WS), black shirt (BS), black shorts (BSS), and white shorts (WSS). This will need to be explained to the students.
Level:
3
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
combinations, practical
Description of task: 
Students use a cut out figure and clothes to record all the possible combinations from 2 shorts, 3 shirts, and 2 caps.
Curriculum Links: 
This resource can be used to help to identify students' understanding of listing all possible outcomes.
 
 

 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, sets 3-4
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 
11 correct combinations and no incorrect combinations.
 
9-10 correct combinations and no incorrect combinations or 11 correct combinations and 1 incorrect combination.
 
9-10 correct combinations with 1-2 incorrect combinations or 8 correct combinations and no incorrect combinations.
 
7-8 correct combinations with 1-2 incorrect combinations or 6 correct combinations and no incorrect combinations.
 
NOTE: Incorrect combinations include repetition.

 

NOTE: The following abbreviations have been used for this scoring guide –
grey cap (GC), black cap (BC), grey shirt (GS), white shirt (WS), 
black shirt (BS), black shorts (BSS), and white shorts (WSS).

GC, BS, BSS are given
GC, BS, WSS
GC, WS, BSS
GC, WS, WSS
GC, GS, BSS
GC, GS, WSS
BC, BS, BSS
BC, BS, WSS
BC, WS, BSS
BC, WS, WSS
BC, GS, BSS
BC, GS, WSS

[Accept these combinations in any order.]