Interior decoration

Interior decoration

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about constructing a tree diagram.
illustration: floor, walls and ceiling in a lounge
Mr Harding is choosing colours for the walls, carpet, and ceiling of the lounge.
Below are the colours he is choosing from.

Walls:      Yellow (Y), Green (G), or Pink (P)
Carpets:   Blue (B) or Red (R)
Ceiling:     White (W) or Cream (C)
 
Draw a tree diagram below that shows all the possible colour combinations for the walls, carpet, and ceiling Mr Harding is choosing from.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

 

Task administration: 
This task is completed with pencil and paper only.
Copyright: 
illustration: floor, walls and ceiling in a lounge
Image: © J.Fisher, 2020 (used with permission)
Level:
4
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
tree diagrams, combinations
Description of task: 
Students draw a tree diagram to show all the possible colour combinations for the walls, carpet, and ceiling of a room.
Curriculum Links: 
This resource can be used to help to identify students' understanding of using models of all possible outcomes in Probability.
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  Y9 (04/1999)
Tree diagram drawn correctly.

Partial completion of tree diagram i.e., linkages between the walls, carpets and ceilings must be made.
or
Correct listing of all 12 combinations.

NOTE: the tree diagram can be constructed in any of the following orders:

  • Walls → ceiling → carpet.
  • Carpet → ceiling → walls.
  • Carpet → wall → ceiling.
  • Ceiling → carpet → walls.
  • Ceiling → walls → carpet.
 2 marks – moderate

1 mark – moderate