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, seventhgrade 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 realworld 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 reengage 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 longrun 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 20202021 school year due to school closures, see our 7th Grade Scope and Sequence Recommended Adjustments.
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experimental probability
likelihood
probability
sample space
outcome
theoretical probability
simulation
simple event
compound event
tree diagram
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Organized list 
Example: 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 
Example: 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 
Example: 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 
This assessment accompanies Unit 8 and should be given on the suggested assessment day or after completing the unit.
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 longrun frequencies.
7.SP.C.7
Design and conduct simulations to model realworld 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 realworld situations for compound events.
Key: Major Cluster Supporting Cluster Additional Cluster
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