Curriculum / Math / 7th Grade / Unit 8: Probability / Lesson 8
Math
Unit 8
7th Grade
Lesson 8 of 9
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Lesson Notes
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Determine the probability of compound events.
The core standards covered in this lesson
7.SP.C.8 — Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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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
A fair six-sided die is rolled twice. What is the theoretical probability that the first number that comes up is greater than or equal to the second number?
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Rolling Twice, accessed on June 14, 2017, 2:49 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.
Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side. What is the theoretical probability that Angie and Carlos are seated opposite each other?
Sitting Across from Each Other, accessed on June 14, 2017, 2:40 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 standard deck of playing cards includes 52 cards, equally divided among 4 suits: hearts, diamonds, clubs, and spades.
You have two standard decks of cards. You draw a card from the first deck, record the suit, and then draw a card from the second deck and record the suit.
a. What is the probability that you draw a heart and a diamond, in that order?
b. What is the probability that you draw a heart and a diamond, in any order?
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
Lin plays a game that involves a standard number cube and a spinner with four equal sections numbered 1 through 4. If both the cube and spin result in the same number, Lin gets another turn. Otherwise, play continues with the next player. What is the probability that Lin gets another turn?
Grade 7 Unit 8 Lesson 9 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, 1:13 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
Design and conduct simulations to model real-world situations for compound events.
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
Design and conduct simulations to model real-world situations.
7.SP.C.7
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Topic B: Probability Models of Compound Events
Conduct simulations with multiple events to determine probabilities.
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
7.SP.C.8
7.SP.C.8.C
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