TIPS4Math
Grade 6
Probability
Overall Expectations
Students will:
• Collect and organize discrete or continuous primary data and secondary data and display the data using charts and graphs,
including continuous line graphs (6m67)
• Read, describe, and interpret data, and explain relationships between sets of data (6m68)
• Determine the theoretical probability of an outcome in a probability experiment, and use it to predict the frequency of the outcome
(6m69)
Specific Expectations
Students will:
• Collect data by conducting a survey or an experiment to do with themselves, their environment, issues in their school or
community, or content from another subject, and record observations or measurements (6m70)
• Collect and organize discrete or continuous primary data and secondary data and display the data in charts, tables, and graphs
(including continuous line graphs) that have appropriate titles, labels, and scales that suit the range and distribution of the data,
using a variety of tools (6m71)
• Read, interpret, and draw conclusions from primary data and from secondary data, presented in charts, tables, and graphs
(including continuous line graphs) (6m74)
• Express theoretical probability as a ratio of the number of favourable outcomes to the total number of possible outcomes, where all
outcomes are equally likely (6m79)
• Represent the probability of an event (i.e., the likelihood that the event will occur), using a value from the range of 0 (never
happens or impossible) to 1 (always happens or certain) (6m80)
• Predict the frequency of an outcome of a simple probability experiment or game, by calculating and using the theoretical
probability of that outcome (6m81)
Lesson
Represent the Probability of an
Event
Express Theoretical Probability
as a Ratio
Use Theoretical Probability to
Make Predictions
EduGAINS-Mathematics
Learning Focus
•
•
•
Represent the probability of an event using a value from the range of 0
(never happens or impossible) to 1 (always happens or certain)
Express theoretical probability as a ratio of the number of favourable
outcomes to the total number of possible outcomes, where all outcomes are
equally likely
Calculate and use theoretical probability to predict the frequency of
outcomes and test predictions
Specific
Expectations
6m80
6m79
6m79
6m81
Page 1 of 9
TIPS4Math
Probability (continued)
Lesson
Probability Experiments and
Games
Create Probability Games
Grade 6
Learning Focus
•
•
•
Conduct further probability experiments and games by making and testing
predictions
Explore the impact of increasing the number of trials of a probability
experiment
Create a game for a given probability and test the game
Specific
Expectations
6m70
6m71
6m74
6m79
6m81
6m70
6m71
6m74
6m79
6m81
Consolidation and Summative Tasks
EduGAINS-Mathematics
Page 2 of 9
TIPS4Math
Represent the Probability of an Event
Specific Expectations: 6m80
Learning Focus
Blended Learning
Teacher Guide
Unit 5 Activity 3: Probability
OERB ID: ELO1475480
Unit 5 Activity 3: Minds On
Minds • Review the functions of
probability
OERB ID: ELO1475460
On
• Exploring Probability and the Monte Carlo
Method Video
Unit 5 Activity 3: Action
Action • Represent the probability of
an event using a value from
• Probability at the School Raffle
the range of 0 (never happens
OERB ID : ELO1411380
or impossible) to 1 (always
o explains theoretical probability in the
happens or certain)
“Help” section
• Madame Chance and Her Predict-A-Ball
OERB ID : ELO1411400
Unit 5 Activity 3: Action
Consolidation
• Check Your Understanding
• Anchor Chart
• Assignment 1: Probability
Grade 6
Other Resources
Guide to Effective Instruction:
Data Management and Probability
Grades 4 – 6
• pp 31 – 35
• pp 104 – 114: Grade 6 Learning
Activity: Rock-Paper-Scissors
Express Theoretical Probability as a Ratio
Specific Expectations: 6m79
Learning Focus
Minds • Review ratios
On
Action • Express theoretical probability
Blended Learning
Other Resources
NCTM Illuminations
• Bean Counting and Ratios
• Stick or Switch
as a ratio of the number of
favourable outcomes to the
total number of possible
outcomes, where all
outcomes are equally likely
Consolidation
EduGAINS-Mathematics
Page 3 of 9
TIPS4Math
Use Theoretical Probability to Make Predictions
Specific Expectations: 6m79, 6m81
Learning Focus
Minds
On
•
Action
•
Use a common fraction to
explain the probability that an
event will occur
Calculate and use theoretical
probability to predict the
frequency of outcomes and
test predictions
Blended Learning
Teacher Guide
Unit 5 Activity 3: Probability
OERB ID: ELO1475480
Unit 5 Activity 3: Action
OERB ID: ELO1475460
• Rock, Paper, Scissors!
OERB ID: ELO1411470
o when game is finished, determine the
experimental probability
• Check Your Understanding
• Probability: Make A Guess
o discusses theoretical probability,
reinforces connections made between
fractions, decimals and percents
Grade 6
Other Resources
Guide to Effective Instruction:
Data Management and Probability
Grades 4 – 6
• pp 31 – 35
• pp 104 – 114: Grade 6 Learning
Activity: Rock-Paper-Scissors
NCTM Illuminations
• Bean Counting and Ratios
• Stick or Switch
Consolidation
EduGAINS-Mathematics
Page 4 of 9
TIPS4Math
Probability Experiments and Games
Specific Expectations: 6m70, 6m71, 6m74, 6m79, 6m81
Learning Focus
Blended Learning
Minds
On
•
Action
•
•
Grade 6
Review the probability that
an event will occur in simple
games and probability
experiments
Conduct further probability
experiments and games by
making and testing
predictions
Explore the impact of
increasing the number of trials
of a probability experiment
Other Resources
Teacher Guide
Unit 5 Activity 3: Probability
OERB ID: ELO1475480
Guide to Effective Instruction:
Data Management and Probability
Grades 4 – 6
• pp 31 – 35
• pp 104 – 114: Grade 6 Learning
Activity: Rock-Paper-Scissors
Unit 5 Activity 3: Consolidation
OERB ID: ELO1475460
• Toads and Vines
mathies
• Set Tool
NCTM Illuminations
Note: supplementation required for conducting • What Are My Chances?
experiments, making and testing predictions,
extending trials
Consolidation
EduGAINS-Mathematics
Page 5 of 9
TIPS4Math
Grade 6
Create Probability Games
Specific Expectations: 6m70, 6m71, 6m74, 6m79, 6m81
Learning Focus
Blended Learning
Other Resources
Teacher Guide
Unit 5 Activity 3: Probability
OERB ID: ELO1475480
Minds
On
•
Action
•
Play a game and determine
how probability affects the
outcome and fairness of the
game
Create a game for a given
probability and test the game
Guide to Effective Instruction:
Data Management and Probability
Grades 4 – 6
• pp 31 – 35
• pp 104 – 114: Grade 6 Learning
Activity: Rock-Paper-Scissors
Unit 5 Activity 3: Consolidation
OERB ID: ELO1475460
• Discussion
o make up questions for given probabilities
Note: supplementation required for creating a
game for a given probability and testing
Consolidation
Consolidation & Summative Tasks
Specific Expectations: 6m70, 6m71, 6m74, 6m79, 6m80, 6m81
Blended Learning
EduGAINS-Mathematics
Other Resources
Page 6 of 9
TIPS4Math
Represent the Probability of an Event
Resource
URL
Teacher Guide:
Unit 5 Activity 3: Probability
Exploring Probability and the
Monte Carlo Method Video
Probability at the School Raffle
Madame Chance and Her
Predict-A-Ball
Unit 5 Activity 3: Action
Assignment 1: Probability
Guide to Effective Instruction:
Data Management and
Probability Grades 4 – 6
Grade 6
https://download.elearningontario.ca/repository/14/1475480000/Combined%20Teacher%20
Notes%20for%20Activities%201%20-%203/content_3.html
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.STAT&ID2=AB.
MATH.JR.STAT.PROB&lesson=html/video_interactives/probability/probabilitySmall.html
https://download.elearningontario.ca/repository/14/1411380000/ThomasRo_SchoolRaffle.html
https://download.elearningontario.ca/repository/14/1411400000/ThomasRo_MadameChancePredictBall.html
https://download.elearningontario.ca/repository/14/1475460000/GRD6MTHEU05A03/content_2.
html
https://download.elearningontario.ca/repository/14/1475460000/GRD6MTHEU05A03/assignment.
html
http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf
Express Theoretical Probability as a Ratio
Resource
URL
NCTM Illuminations:
Bean Counting and Ratios
NCTM Illuminations:
Stick or Switch
EduGAINS-Mathematics
https://illuminations.nctm.org/Lesson.aspx?id=2534
https://illuminations.nctm.org/Lesson.aspx?id=1399
Page 7 of 9
TIPS4Math
Use Theoretical Probability to Make Predictions
Resource
URL
Teacher Guide:
Unit 5 Activity 3: Probability
Rock, Paper, Scissors!
Unit 5 Activity 3: Action
Probability: Make A Guess
Guide to Effective Instruction:
Data Management and
Probability Grades 4 – 6
NCTM Illuminations:
Bean Counting and Ratios
NCTM Illuminations:
Stick or Switch
Grade 6
https://download.elearningontario.ca/repository/14/1475480000/Combined%20Teacher%20
Notes%20for%20Activities%201%20-%203/content_3.html
https://download.elearningontario.ca/repository/14/1411470000/ThomasRo-RockPaperScissors.
html
https://download.elearningontario.ca/repository/14/1475460000/GRD6MTHEU05A03/content_3.
html
http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell19.swf
http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf
https://illuminations.nctm.org/Lesson.aspx?id=2534
https://illuminations.nctm.org/Lesson.aspx?id=1399
Probability Experiments and Games
Resource
URL
Teacher Guide:
Unit 5 Activity 3: Probability
Unit 5 Activity 3: Consolidation
Toads and Vines
Guide to Effective Instruction:
Data Management and
Probability Grades 4 – 6
mathies:
Set Tool
NCTM Illuminations
What Are My Chances?
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1475480000/Combined%20Teacher%20
Notes%20for%20Activities%201%20-%203/content_3.html
https://download.elearningontario.ca/repository/14/1475460000/GRD6MTHEU05A03/content_5.
html
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.STAT&ID2=AB.
MATH.JR.STAT.PROB&lesson=html/object_interactives/probability/use_it.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf
http://mathies.ca/learningTools.php#Ss1
https://illuminations.nctm.org/Lesson.aspx?id=2895
Page 8 of 9
TIPS4Math
Create Probability Games
Resource
Teacher Guide:
Unit 5 Activity 3: Probability
Unit 5 Activity 3: Consolidation
Guide to Effective Instruction:
Data Management and
Probability Grades 4 – 6
EduGAINS-Mathematics
Grade 6
URL
https://download.elearningontario.ca/repository/14/1475480000/Combined%20Teacher%20
Notes%20for%20Activities%201%20-%203/content_3.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf
Page 9 of 9