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Unit Map 2012-2013
North Slope Borough School District
Collaboration / Math 7* (Unit) / Grade 7 (North Slope Borough School District)
Monday, September 17, 2012, 5:04PM
Probability (Week 35, 4 Weeks)
Unit Description
Type Author Name:
Math CCAT
This unit investigates experimental and theoretical probabilities. Probability models are developed and used to calculate probabilities
of independent events and compound events. Simulations are used to generate frequencies for compound events.
Topics Include:
Defining and Representing Probability
Determining Experimental Probability
Determining theoretical probability
Simulating experiments
Using technology for simulations
Creating and Using models for probability
Determining compound probability
Simulating probability of compound events
Common Core Resource Middle School Course 2 chapters 16 and 17.
Stage 1: Desired Results
ILF Overarching Understandings/Essential Questions
ILF Performance Expectations
Alaska State Standards
State Standards & GLEs
2012 ELA and Math Standards
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Mathematics (2012), Grade 7 , Mathematical Practice
The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to
develop in their students.
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Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Mathematics (2012), Grade 7 , Statistics & Probability
7.SP Investigate chance processes and develop, use, and evaluate probability models.
7.SP.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.
7.SP.6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing
its long-run relative frequency, and predict the approximate relative frequency given the probability.
7.SP.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.
a. Design a uniform probability model by assigning equal probability to all outcomes, and use the model to determine
probabilities of events.
b. Design a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
7.SP.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample
space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an
event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose
the event.
c. Design and use a simulation to generate frequencies for compound events.
Content Area Understandings & Essential Questions
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Content Area OUs & EQs
Topical Understandings & Essential Questions
Knowledge
Skills
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Student will know...
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Students will be able to...
Stage 2: Assessment Evidence
Transfer Task(s) (Performance Assessments)
At least one assessment in GRASPS form.
Evaluative Criteria
Other Evidence (Graded)
Stage 3: Learning Plan
Learning Experiences (in order of implementation)
Checking for Understanding (Ungraded)
Resources and Preparation Materials
Last Updated: Sunday, September 9, 2012, 4:29PM
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