Two dice game IV

Two dice game IV

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about investigating probability.
Practical task
Your task is to set up an investigation so that you can answer some questions about the results of throwing two dice together 100 times.
 
a)
Draw a table in the box below so you can record your results in an organised way.
Use headings to show what you will record.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
b)
 
Roll the two dice 100 times and record the results on your table using tally marks. 
Use your results to answer the following questions.
 
c)
 
What percentage of your throws resulted in:
 
 
i)  
 
ii)
 
iii)
a total of 7? __________ %
 
an odd number? __________ %
 
a number greater than 2 but less than 11? __________ %
Task administration: 
This task is completed with pencil and paper, and other equipment.
 
Equipment:
2 dice.
  • Students may need reminding that they are to total the numbers on the dice.
  • Once students have recorded their results, then the questions can be given out.
Level:
4
Curriculum info: 
Maths, Statistics, Probability
Key Competencies: 
Using language, symbols, and texts
Keywords: 
probability, percentages, table construction
Description of task: 
Students carry out an investigation to determine the frequency and percentage of different numbers resulting from 100 dice throws. They construct a table to record the results.
Curriculum Links: 
This resource can be used to help to identify students' understanding of conducting probability experiments and writing likelihoods as fractions, decimals, or percentages.
 
Key competencies
This resource involves designing a table that is suitable to collect tally data. This relates to the Key competency: Using language, symbols and text.
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: 

a)

 

Table set up includes listing of possible results (2-12).
Table set up includes spaces for recording of results and totals.

b)

 

The results show the dice were thrown 100 times, e.g., there are a total of 100 tally marks on the table. 
Results are recorded using correct tally format, e.g., . 
Results are recorded using some other format, e.g., ticks, a running total or tally marks that have not been grouped in fives.

c)

i) 
ii) 
iii)

Percentage correlates to number of throws recorded, e.g., 15 throws = 15%.
Percentage correlates to number of throws recorded, e.g., 52 throws = 52%.
Percentage correlates to number of throws recorded, e.g., 80 throws = 80%.