Curriculum / Math / 7th Grade / Unit 8: Probability / Lesson 5
Math
Unit 8
7th Grade
Lesson 5 of 9
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Design and conduct simulations to model real-world situations.
The core standards covered in this lesson
7.SP.C.7 — Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
How could you design an experiment that could simulate these events?
a. Two friends go out to eat at a restaurant. One person will be randomly chosen to pay the bill. Which friend pays the bill?
b. 10% of the population is left-handed. Will the next person you meet be left-handed?
c. Your teacher has four different versions of a quiz that she will distribute equally to the class. Which quiz will you take?
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You are playing a video game. At the end of every level, there are three boxes. One contains 10,000 points, and the other two are empty. You are allowed to choose one of the boxes, but before the one you choose opens, one of the other boxes always opens to show that it is empty. The game allows you to either (1) stay with your first choice or (2) switch to the other unopened box.
For example, there are three boxes: A, B, and C. Suppose you choose box B.
Before box B opens, one of the other boxes opens to show that it is empty. Imagine that in this case it is box C:
The game allows you to stay with your first choice or to switch to the other unopened box. Should you stay or should you switch? Design and use a simulation to help you decide.
Stay or Switch?, accessed on April 5, 2018, 2:14 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50.
Explain how you could use this number to simulate the weather in the video game.
Grade 7 Unit 8 Lesson 6 Teacher Version is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed April 5, 2018, 1:03 p.m..
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Next
Conduct simulations with multiple events to determine probabilities.
Topic A: Probability Models of Simple Events
Understand the probability of an event happening is a number between 0 and 1, ranging from impossible to certain.
Standards
7.SP.C.5
Define probability and sample space. Estimate probabilities from experimental data.
7.SP.C.67.SP.C.7
Determine the probability of events.
7.SP.C.7.A7.SP.C.7.B
Use probability to predict long-run frequencies.
7.SP.C.6
7.SP.C.7
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Topic B: Probability Models of Compound Events
7.SP.C.87.SP.C.8.C
List the sample space for compound events using organized lists, tables, or tree diagrams.
7.SP.C.8.B
Determine the probability of compound events.
7.SP.C.8
Design and conduct simulations to model real-world situations for compound events.
7.SP.C.8.C
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