Curriculum / Math / 7th Grade / Unit 8: Probability / Lesson 1
Math
Unit 8
7th Grade
Lesson 1 of 9
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Lesson Notes
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Understand the probability of an event happening is a number between 0 and 1, ranging from impossible to certain.
The core standards covered in this lesson
7.SP.C.5 — Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This is students' first introduction to probability, however, they will probably have an informal vocabulary and understanding of what is “fair” or likely or unlikely. Make the connection between these understandings and the values, both decimal and fractional, between 0 and 1 that probabilities can take on. It may also be helpful to have an open discussion about what students know or think they know about probability before the lesson. This may help bring any misconceptions to the surface that can be addressed throughout the unit.
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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
Ten events are described below. Decide which column in the table below each event best belongs to.
Events:
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Grade 7 Unit 8 Lesson 2 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, 1:46 p.m..
Order the following events from least likely to occur to most likely to occur. Explain your reasoning.
Event A: Twelve out of 20 students in your class are wearing glasses. The event that your teacher randomly calls on a student who is wearing glasses.
Event B: The weather report indicates a 90% chance of snow. The event that it snows.
Event C: The probability that Brand X of batteries is still working after 100 hours of use is 0.2. The event that a Brand X battery is still working after 100 hours of use.
Event D: You enter your name in a raffle for basketball tickets with 75 other people. Each person gets one entry per name. The event that you win the tickets.
Event E: A mouse running through a maze can turn left or right at the end of a path. The event that the mouse turns left.
For each event below, design a spinner or a bag of cubes that would have the probabilities described.
a. The probability of selecting a red cube is 0.5.
b. The probability of spinning an even number is unlikely.
c. The probability of spinning a number greater than 3 is certain.
d. The probability of selecting a yellow cube is very likely.
e. The probability of spinning the color blue is 0.
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
Each letter of the alphabet is written on a notecard and placed inside a brown bag. One notecard is selected from the bag. For each event below, determine where on the probability scale the event would best be located. Write the letter of the event on the scale.
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
Define probability and sample space. Estimate probabilities from experimental data.
Topic A: Probability Models of Simple Events
Standards
7.SP.C.5
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
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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