Dice combinations II

Dice 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.
Use the 3 dice you have been given to investigate how many different ways they can be turned so that they only show odd numbers on the top faces. The first three patterns have been recorded for you.

 1, 1, 3  
1, 1, 3
3, 1, 1

You will see that each dice is moved to make a new combination. 

Record all the different ways you can find in your Table Sheet.

Dice 1 Dice 2 Dice 3
1 1 3
1 3 1
3 1 1
     
     
     
     
     
     
     
     
     
      
     
     
     
     
     
     
     
Task administration: 
This task is completed with pencil and paper, and other equipment.
 
Equipment:
A set of 3 different coloured dice; a pencil; Table Sheet for each student.
  • This task assesses students' ability to investigate possible combinations using 3 dice.
  • The practical activity in this task can be carried out with one student at a time or by observing a small group of students working independently.
Level:
3
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
combinations
Description of task: 
Using three dice, students investigate and list the different possible combinations of odd numbers showing on the top face of each dice.
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: 

 

 Answers

4 marks: 24 correct with no repeats or omissions
3 marks: 21-23 correct with no repeats
2 marks:18-20 correct with no repeats
1 mark:  15-17 correct with no repeats
Dice 1 Dice 2 Dice 3
111 115 133
135 151 153
155 313 315
331 333 335
351 353 355
511 513 515
531 533 535
551 553 555
Accept results in any order.