Grade 7 - Statistics and Probability (Chance and Uncertainty)
The sub-organizer contains the following sections:
Prescribed Learning Outcomes
Suggested Instructional Strategies
Suggested Assessment Strategies
Recommended Learning Resources
PRESCRIBED LEARNING OUTCOMES
It is expected that students will create and solve problems using probability.
It is expected that students will:
- use a table to identify all possible outcomes of two independent events
- use simulation or experimentation to solve probability problems
- create and solve problems using the
definition of probability as favourable outcomes over total outcomes
To view the prescribed learning outcomes for Statistics and Probabilities (Chance and Uncertainty) in other grades click on an icon below.
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SUGGESTED INSTRUCTIONAL STRATEGIES
The nature of probability encourages a systematic and logical approach to problem solving. Probability is an area that can motivate students' interest, stimulate their mathematical thinking, and give them practice to reinforce number skills. When they conduct probability experiments using real data, they are challenged to make sense of situations in which they cannot be totally sure of the outcome. This further develops their critical-thinking skills.
- Have students determine the number of possible outcomes that can occur by rolling two dice. Record the possible outcomes on a chart,
defining that a roll of 1, 3 is a different outcome than 3, 1.
| Possible Totals | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|
| | | | 2,2
3,1
1,3
| | | | | | | | |
|---|
| Total Ways | | | 3 | | | | | | | | |
|---|
Once all possible outcomes have been determined, have students calculate the probability of rolling a 7. Have them calculate the probability of rolling each of the other sums. Ask them to add up the probabilities for all of the sums. What is the total probability? Have them explain why this makes sense.
- Pose similar problems in which students need to determine probability. (e.g., Using a deck of cards, what is the chance of pulling out a 5, or a heart?)
SUGGESTED ASSESSMENT STRATEGIES
Understanding about probability grows over time and is deepened by experience and discussion. Ongoing observations and evidence of students' ability to use probability should be collected in the context of problem-solving activities. Students develop an appreciation of the power of simulation and experimentation by comparing experimental results to the mathematically derived probabilities. Throughout their experimentation and simulation, students make hypotheses, test predictions, and refine their theories on the basis of new information.
Collect
- Examine the charts that students develop for evidence of understanding, logical reasoning,
and clarity:
- Did students find all 36 possible dice
outcomes?
- Do they communicate their understanding by using terms such as favourable or total outcomes ?
RECOMMENDED LEARNING RESOURCES
Print Materials
- Box Cars & One-Eyed Jacks
- Dealing with Data: Probability and Sampling
- Interactions 7
- Junior High Probability Jobcards
- Mathpower Seven
- Minds on Math 7
- Nelson Canadian School Mathematics Dictionary
Software
Games/Manipulatives- D.I.M.E. Probability Pack A
- D.I.M.E. Probability Pack B
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©Copyright 1996
All Rights Reserved.
BC MOECurriculum Branch.
Maintained by:Mathematics Coordinator
Revised: October 20, 1997
BC Ministry of Education
