Students have their first encounter with probability, as they develop their understanding of probability through calculating theoretical probabilities and designing and running their own simulations.
In Unit 8, seventh-grade students finish the year with their first encounter with probability. They develop their understanding of probability through analyzing experiments, calculating theoretical probabilities, and designing and running their own simulations to model real-world situations (MP.4). Students encounter and use a variety of tools including spinners, dice, cards, coins, etc., and organizational tools such as organized lists, tables, and tree diagrams when they study compound probability (MP.5).
Students draw on and re-engage with concepts from ratios and proportions in order to fully understand probability as a ratio of desired outcomes to total outcomes. They also use proportional relationships to estimate long-run frequencies based on probabilities of experiments.
In high school, students will further explore probability, distinguishing between independent events and conditional events and developing rules to calculate probabilities of these compound events.
Pacing: 11 instructional days (9 lessons, 1 flex day, 1 assessment day)
For guidance on adjusting the pacing for the 2020-2021 school year due to school closures, see our 7th Grade Scope and Sequence Recommended Adjustments.
This assessment accompanies Unit 8 and should be given on the suggested assessment day or after completing the unit.
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Model | Example |
Organized list |
The sample space for a spinner with 4 equal sections labeled yellow, blue, green, and red, and a fair coin with sides heads and tails |
Table |
The sample space for a spinner with 4 equal sections labeled yellow, blue, green, and red, and a fair coin with sides heads and tails |
Tree diagram |
The sample space for a spinner with 4 equal sections labeled yellow, blue, green, and red, and a fair coin with sides heads and tails |
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tree diagram
experimental probability
likelihood
probability
sample space
outcome
theoretical probability
simulation
simple event
compound event
7.SP.C.5
Understand the probability of an event happening is a number between 0 and 1, ranging from impossible to certain.
7.SP.C.6
7.SP.C.7
Define probability and sample space. Estimate probabilities from experimental data.
7.SP.C.7.A
7.SP.C.7.B
Determine the probability of events.
7.SP.C.6
Use probability to predict long-run frequencies.
7.SP.C.7
Design and conduct simulations to model real-world situations.
7.SP.C.8
7.SP.C.8.C
Conduct simulations with multiple events to determine probabilities.
7.SP.C.8.B
List the sample space for compound events using organized lists, tables, or tree diagrams.
7.SP.C.8
Determine the probability of compound events.
7.SP.C.8.C
Design and conduct simulations to model real-world situations for compound events.
Key: Major Cluster Supporting Cluster Additional Cluster
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