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Math · Grade 7 Math · Unit 8
Unit 8: Probability and Sampling
Students work with probability and sampling, designing simulations, representing sample spaces, and using samples to make inferences about populations.
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Unit
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Concept
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Practice
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Advanced
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What this unit covers
A Probabilities of Single-Step Events · 6 lessons
Goals
- Use the results from a repeated experiment to estimate the probability of an event, and justify the estimate.
- Use the sample space to determine the probability of an event, and express it as a fraction, decimal, or percentage.
Lessons
- Mystery Bags
- Chance Experiments
- What Are Probabilities?
- Estimating Probabilities through Repeated Experiments
- More Estimating Probabilities
- Estimating Probabilities Using Simulation
B Probabilities of Multi-step Events · 4 lessons
Goals
- Describe a multi-step experiment that could be used to simulate a compound event in a real-world situation, and justify that it represents the situation.
- Interpret or create a list, table, or tree diagram that represents the sample space of a compound event, and use the sample space to write the probability for an event.
Lessons
- Simulating Multi-step Experiments
- Keeping Track of All Possible Outcomes
- Multi-step Experiments
- Designing Simulations
C Sampling · 4 lessons
Goals
- Describe methods to obtain a random sample from a population, and explain why it is representative of the population.
- Explain why samples are necessary and describe a sample and population for a given statistical question.
Lessons
- Comparing Groups
- Larger Populations
- What Makes a Good Sample?
- Sampling in a Fair Way
D Using Samples · 5 lessons
Goals
- Determine whether two populations are likely to be meaningfully different by reasoning about center and spread.
- Use the proportion of a random sample that is within a certain category to make inferences about the population, and explain the reasoning.
Lessons
- Estimating Population Measures of Center
- Estimating Population Proportions
- More about Sampling Variability (Optional)
- Comparing Populations Using Samples
- Comparing Populations with Friends
E Let’s Put It to Work · 1 lesson
Lessons
- Memory Test (Optional)
Helpful to know first
The curriculum says this unit builds on these.
Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.