Unit 8: Probability and Sampling

Students work with probability and sampling, designing simulations, representing sample spaces, and using samples to make inferences about populations.

Worksheets

Every sheet has an answer key. Free to print, no login.

Unit

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Concept

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Practice

Set 1

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Set 2

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Advanced

Set 1

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Set 2

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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

1. Mystery Bags
2. Chance Experiments
3. What Are Probabilities?
4. Estimating Probabilities through Repeated Experiments
5. More Estimating Probabilities
6. 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

1. Simulating Multi-step Experiments
2. Keeping Track of All Possible Outcomes
3. Multi-step Experiments
4. 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

1. Comparing Groups
2. Larger Populations
3. What Makes a Good Sample?
4. 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

1. Estimating Population Measures of Center
2. Estimating Population Proportions
3. More about Sampling Variability (Optional)
4. Comparing Populations Using Samples
5. Comparing Populations with Friends

E Let’s Put It to Work · 1 lesson

Lessons

1. Memory Test (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math · Unit 8 Data Sets and Distributions

Open unit →

Grade 7 Math · Unit 4 Proportional Relationships and Percentages

Open unit →