Probability: Permutations and Combinations (Common Core Aligned Lesson)

In this lesson, students learn to compute permutations and combinations. They also learn factorial notation and the Fundamental Counting Principle to compute the number of ways a multi-step process may occur. Lastly, students learn to use these skills to compute the probability of compound events.

This resource includes a lesson plan with worksheet and answer key aligned with the common core. Students build on their understanding of the probability of compound events using permutations and combinations. The worksheet can be used as an in-class handout or as homework. Questions assess interpretation as well as mechanics.

This product includes:

1) Lesson lecture slides in PDF (annotated with notes), PowerPoint, and Google™ Slides (link in PDF)
2) Lesson lecture handouts in PDF
3) Worksheet in PDF and Google™ Slides with editable features (link in PDF)
4) Answer key with and without detailed rubric in PDF
5) A summary sheet relevant to Common Core Standard HSS.CP.B.9 in PDF

Objectives:

1) Learn the Fundamental Counting Principle
2) Learn how to compute and interpret permutations
3) Learn how to compute and interpret combinations

4) Learn how to use the Fundamental Counting Principle, permutations, and combinations to compute probabilities of compound event and solve problems


Common Core Standard:

HSS.CP.B.9: Use permutations and combinations to compute probabilities of compound events and solve problems

About this product:

The materials in this product have been compressed into a *.zip file. Software to unzip the file is necessary to use these materials. The materials are unzipped into eight separate files. Software for reading PDF(*.pdf) or PowerPoint (*.pptx) documents is needed to use the respective file types.

This purchase is to be used by one teacher only for classroom use. These materials may not be shared without purchasing the appropriate number of licenses. With the exception of remote learning and secure classroom websites, these materials may not be uploaded to the internet in any form (no personal websites, or open network drives, etc.).

Want more resources on probability for the common core? Check these out!:
Distance Learning: Probability Digital Card Sort Activity (Common Core Aligned)
Distance Learning: Evaluate a COVID-19 Test using Probability with Real Data
Distance Learning: Investigate COVID-19 Disparities using Probability with Real Data
Probability: Sample Spaces, Outcomes, and Events (Common Core Aligned Lesson)
Probability: Independent Events and Conditional Probability (Common Core)
Probability: Venn Diagrams and Probability of Events (Common Core Lesson)

Probability Rules: Complement, Addition, Multiplication (Common Core Lesson)

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© Statistics Education Resources, 2021

Disclaimer:

The National Governors Association Center for Best Practices and Council of Chief State School Officers are the sole owners and developers of the Common Core State Standards. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

This product is the work of Statistics Education Resources. Claims of alignment with the Common Core State Standards are the personal opinion of Statistics Education Resources and do not necessarily reflect the official views of the National Governors Association Center for Best Practices and Council of Chief State School Officers. No association with or endorsement by the National Governors Association Center for Best Practices and Council of Chief State School Officers is intended or implied.