Grade 8 Probability

TIPS4Math
Grade 8
Probability
Overall Expectation
Students will:
• Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data using charts and
graphs, including frequency tables with intervals, histograms, and scatter plots (8m65)
• Apply a variety of data management tools and strategies to make convincing arguments about data (8m66)
• Use probability models to make predictions about real-life events (8m67)
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 (8m68)
• Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data in charts, tables,
and graphs (including histograms and scatter plots) that have appropriate titles, labels, and scales that suit the range and
distribution of data, using a variety of tools (8m70)
• Read, interpret, and draw conclusions from primary data and from secondary data, presented in charts, tables, and graphs
(including frequency tables with intervals, histograms and scatter plots) (8m73)
• Compare, through investigation, the theoretical probability of an event (i.e., the ratio of the number of ways a favourable outcome
can occur compared to the total number of possible outcomes) with experimental probability, and explain why they might differ
(8m80)
• Determine, through investigation, the tendency of experimental probability to approach theoretical probability as the number of
trials in an experiment increases, using class-generated data and technology-based simulation models (8m81)
• Identify the complementary event for a given event, and calculate the theoretical probability that a given event will not occur
(8m82)
Lesson
Learning Focus
Comparing Theoretical
and Experimental
Probability
•
Theoretical Probability
•
•
•
•
EduGAINS-Mathematics
Compare, through investigation the theoretical probability of an event with
experimental probability
Explain why theoretical probability and experimental probability may differ
Conduct the same probability experiment with significant trials
Investigate the tendency of experimental probability to approach theoretical
probability as the number of trials increases
Use class- generated data as well as technology-based simulations
Specific
Expectations
8m68
8m70
8m73
8m80
8m68
8m70
8m73
8m81
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TIPS4Math
Probability (continued)
Lesson
Learning Focus
Complementary Events •
•
•
•
Probability Practice
Grade 8
•
Understand the meaning of a complementary event
Identify the complementary event of a given event
Calculate the probability that a given event will not occur
Make connections between the probability of an event occurring and the probability
of it not occurring
Carry out probability experiments and solve problems related to experimental and
theoretical probability of events and complementary events
Specific
Expectations
8m82
8m68
8m70
8m73
8m80
8m81
8m82
Consolidation and Summative Tasks
EduGAINS-Mathematics
Page 2 of 9
TIPS4Math
Comparing Theoretical and Experimental Probability
Specific Expectations: 8m68, 8m70, 8m73, 8m80
Learning Focus
Minds
On
•
•
•
Distinguish between
experimental and theoretical
probability
Review representing all the
possible outcomes of a
probability experiment
involving two independent
events and determining
theoretical probability
Review how to determine
experimental probability
Action • Compare, through
•
investigation the theoretical
probability of an event with
experimental probability
Explain why theoretical
probability and experimental
probability may differ
EduGAINS-Mathematics
Other
Resources
Blended Learning
Teacher Guide:
Unit 5, Activity 1: ProbabilityComparing Experimental and
Theoretical Probability
OERB ID: ELO1477290
Unit 5 Activity 1: Minds On
OERB ID: ELO1477160
• Part A Group Work
o all possible outcomes for
tossing three coins
• Part A Anchor Chart
o strategies for determining all
possible outcomes
• Part B Discussion
o determine all possible
outcomes of flipping a coin and
rolling die
o theoretical probability of a
prime number and a head
Unit 5 Activity 1: Action
• Odds Are…
OERB ID: ELO1413570
o establish the difference
between theoretical and
experimental probability
• What Are the Chances?
OERB ID: ELO1411840
o tree diagram
o organize outcomes in a
systematic list
Grade 8
TIPS4RM Grade 8 Unit 6: Probability
• Day 1: Number Triangles
• Day 2: Experimental and Theoretical
Probability (Part 1)
• Day 3: Experimental and Theoretical
Probability (Part 2)
Homework Help
• Glossary: Probability
mathies
• Set Tool
OERB
• Dice Throw and Coin Toss
o OERB ID: ELO1050760
• To Win or Not to Win!
o OERB ID: ELO1413550
Gizmos
• Spin the Big Wheel! (Probability)
Learn Alberta Interactives
• Exploring Probability
Math is Fun
•
Probability
Page 3 of 9
TIPS4Math
Grade 8
Comparing Theoretical and Experimental Probability (Continued)
Specific Expectations: 8m68, 8m70, 8m73, 8m80
Learning Focus
Action
Consolidation
EduGAINS-Mathematics
Blended Learning
•
Discussion
o reflect on the effect of increasing the
number of trials on experimental probability
Unit 5 Activity 1: Consolidation
• Group Work
o Green is a Go
o game to explore experimental versus
theoretical probability and effect of trial size
• Assignment 1: Checkpoint for Understanding
Probability
o theoretical probability
Other
Resources
Page 4 of 9
TIPS4Math
Theoretical Probability
Specific Expectations: 8m68, 8m70, 8m73, 8m81
Learning Focus
Minds • Conduct a probability
experiment with few trials
On
Action • Conduct the same probability
•
Grade 8
experiment with significant trials
Investigate the tendency of
experimental probability to
approach theoretical probability
as the number of trials
increases
o Use class- generated data
as well as technology-based
simulations
Blended Learning
Other
Resources
Gizmos:
• Independent and Dependent Events
• Geometric Probability
• Theoretical and Experimental Probability
Consolidation
EduGAINS-Mathematics
Page 5 of 9
TIPS4Math
Specific Expectations: 8m82
Learning Focus
Complementary Events
Other
Resources
Blended Learning
Teacher Guide
Unit 5, Activity 2: ProbabilityComplementary Events
OERB ID: ELO1477290
Unit 5 Activity 2: Minds On
Minds • Determine the theoretical
probability of a variety of events OERB ID: ELO1477170
On
• Discussion theoretical probability
o justify if you’ll win a prize
Unit 5 Activity 2: Action
Action • Understand the meaning of a
complementary event
• Anchor Chart
o strategies for determining possible
• Identify the complementary
outcomes
event of a given event
• Calculate the probability that a
• What Aren’t the Chances?
OERB ID: ELO1413560
given event will not occur
• Make connections between the
o complementary events
probability of an event
occurring and the probability of
it not occurring
Unit 5 Activity 2: Consolidation
Consolidation
• Assignment 1: Bingo!
o simulation to determine experiment
probability of getting a multiple of
5; conduct 20 trials
EduGAINS-Mathematics
Grade 8
TIPS4RM Grade 8 Unit 6: Probability
• Day 4: Theoretical and Experimental
Probability of Events (Part 3)
• Day 5: Check Point
• Day 6: Revisiting Number Triangles
Homework Help
• Glossary: Experimental Probability
mathies
• Set Tool
Gizmos
• Probability Simulations
Page 6 of 9
TIPS4Math
Grade 8
Probability Practice
Specific Expectations: 8m68, 8m70, 8m73, 8m80, 8m81, 8m82
Learning Focus
Blended Learning
Other Resources
Minds • Design a probability experiment
On
Action • Carry out probability experiments and
solve problems related to experimental
and theoretical probability of events and
complementary events
Consolidation
Consolidation and Summative Tasks
Specific Expectations:8m68, 8m70, 8m73, 8m80, 8m81, 8m82
Blended Learning
EduGAINS-Mathematics
Other
Resources
Page 7 of 9
TIPS4Math
Comparing Theoretical and Experimental Probability
Resource
URL
Teacher Guide:
Unit 5, Activity 1: Probability-Comparing
Experimental and Theoretical Probability
Unit 5 Activity 1: Minds On
Odds Are…
What Are the Chances?
Unit 5 Activity 1: Action
Unit 5 Activity 1: Consolidation
Green is a Go
Assignment 1: Checkpoint for
Understanding Probability
TIPS4RM Grade 8 Unit 6: Probability
Homework Help:
Glossary: Probability
mathies:
Set Tool
OERB:
Dice Throw and Coin Toss
OERB:
To Win or Not to Win!
Gizmos:
Spin the Big Wheel! (Probability)
Learn Alberta Interactives:
Exploring Probability
Math is Fun: Probability
EduGAINS-Mathematics
Grade 8
https://download.elearningontario.ca/repository/14/1477290000/GRD8MTHEU06A06/content.html
https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/content.html
https://download.elearningontario.ca/repository/14/1413570000/Jake_Gr%208%20Probability%20Odds%20Are.html
https://download.elearningontario.ca/repository/14/1411840000/LO1151.html
https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/content_2.html
https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/content_3.html
https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/docs/
greenisago.pdf
https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/assignment.html
http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/
Unit6_Probability.pdf
https://homeworkhelp.ilc.org/tools/glossary/index.php?glossary_id=3854
http://mathies.ca/learningTools.php#Ss1
https://download.elearningontario.ca/repository/1050760000/Probability%20of%20Outcomes.html
https://download.elearningontario.ca/repository/14/1413550000/Jake_Gr%208_Probability_1_To_Win_or_Not_to_Win.html
https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=1015
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
https://www.mathsisfun.com/data/probability.html
Page 8 of 9
TIPS4Math
Theoretical Probability
Grade 8
Resource
URL
Gizmos:
Independent and Dependent Events
Gizmos:
Geometric Probability
Gizmos:
Theoretical and Experimental Probability
https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=249
https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=138
https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=310
Complementary Events
Resource
URL
Teacher Guide:
Unit 5, Activity 2: ProbabilityComplementary Events
Unit 5 Activity 2: Minds On
https://download.elearningontario.ca/repository/14/1477290000/GRD8MTHEU06A06/content_2.html
Unit 5 Activity 2: Action
What Aren’t the Chances?
Assignment 1: Bingo!
TIPS4RM Grade 8 Unit 6: Probability
Homework Help:
Glossary: Experimental Probability
mathies:
Set Tool
Gizmos:
Probability Simulations
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1477170000/GRD8MTHEU05A02/content.html
https://download.elearningontario.ca/repository/14/1477170000/GRD8MTHEU05A02/content_2.html
https://download.elearningontario.ca/repository/14/1413560000/Jake_Gr%208%20Probability%202%20What%20Aren’t%20the%20Chances.html
https://download.elearningontario.ca/repository/14/1477170000/GRD8MTHEU05A02/assignment.html
http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/
Unit6_Probability.pdf
https://homeworkhelp.ilc.org/tools/glossary/index.php?glossary_id=3607
http://mathies.ca/learningTools.php#Ss1
https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=249
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