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Common Core Math

High School Statistics & Probability Teaching and Learning Resources

Domain: MD: Using Probability to Make Decisions

Common Core Math

Select the cluster for resources on this page:

  • MD-A: Calculate expected values and use them to solve problems

  • MD-B: Use probability to evaluate outcomes of decisions

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MD-A: Calculate expected values and use them to solve problems

Standards:

 

Technology-enhanced investigations:

Stattrek.com Statistics Dictionary contains the following key vocabulary for this domain.  Select the term from the Stattrek pull-down menu.  Use with MD-A, MD-B:

expected value mean probability distribution sample space
event probability random variable simple random sampliing

 

Art of Problem Solving: Counting and Probability Videos: These are the videos that go with each of the sections within the 14-chapter textbook, Introduction to Counting & Probability.  Chapter 11 videos are on expected value.

MIT BLOSSOMS: Video lesson with additional teacher and learner resources.  Description is from the video summary.  Flu Math Games: "This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled."  Additional simulations are included.  Aligns with Algebra standards SSE-B.3.c and REI-A.1; Function standards IF-C.8.b, BF-B.4.a, and LE-A-1.(a, c); and Statistics and Probability standards ID-B.6.a, IC-A.1, IC-B.4, CP-A.2, and MD-A.1.

Shodor Interactivate: Statistics and Probability: Using Probability to Make Decisions: Calculate expected values and use them to solve problems. This is a series of 11 lessons and 18 activities with virtual manipulatives, which are directly aligned to MD-A.

Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulatives.  Note: Within the Wolfram Demonstration Project are 8 manipulatives addressing MD-A.1, 4 manipulatives for MD-A.2, 11 manipulatives for MD-A.3, 5 manipulatives for MD-A.4. Among those:

Zweigmedia.com:  Tutorials and examples using fill-in or multiple choice to test understanding.  Learners can also choose to do game versions of some topics.  Use with MD-A:

Multiple Choice:

Glencoe Online Learning Center, Geometry (2010) self-check quizzes: Ch. 13, Lesson 4: Simulations Aligns with CP-B.9, MD-A.2.  Learners will also encounter questions on expected value.

OpenEd:

Constructed-response:

Khan Academy: Practice questions with videos.

Performance tasks:

Georgia Standards of Excellence Framework: Pre-Calculus Unit 8: Probability.  This unit contains eight tasks, including a culminating task: Design a Lottery Game. Tasks align with CP-B.8, CP-B.9, all standards in MD-A and MD-B, and related standards CP-A.2, CP-A.3, CP-B.6, and CP-B.7.

Illustrative Mathematics: Fred’s Fun Factory: This task aligns with standards MD-A.2, and MD-B.5 and MD-B.7.

Mathematics Assessment Project: Standards: High School: Statistics & Probability: http://map.mathshell.org/stds.php?standardid=1233

 

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MD-B: Use probability to evaluate outcomes of decisions

Standards:

 

Technology-enhanced investigations:

Art of Problem Solving: Counting and Probability Videos: These are the videos that go with each of the sections within the 14-chapter textbook, Introduction to Counting & Probability.  Chapter 11 videos are on expected value.

MIT BLOSSOMS: Video lesson with additional teacher and learner resources.  Description is from the video summary.  The Monty Hall Problem or How to Outsmart a Game Show and Win a Car: "This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life."  Aligns with CP-A.2, CP-B.8, CP-B.9, MD-B.5.a, MD-B.6, and MD-B.7.

Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulatives.  Note: Within the Wolfram Demonstration Project are 2 manipulatives addressing MD-B.5, 18 manipulatives for MD-B.6, and 8 manipulatives for MD-B.7. Among those:

Multiple Choice:

Khan Academy: Practice questions with videos: Using probability to make fair decisions: Aligns with MD-A.2, MD-B.6, MD-B.7.

OpenEd: Analyze decisions and strategies using probability: 5 questions combine multiple choice and free response.  Includes related review resources.  Aligns with MD-B.7.

Constructed-response:

Khan Academy: Practice questions with videos.

Performance tasks:

Georgia Standards of Excellence Framework: Pre-Calculus Unit 8: Probability.  This unit contains eight tasks, including a culminating task: Design a Lottery Game. Tasks align with CP-B.8, CP-B.9, all standards in MD-A and MD-B, and related standards CP-A.2, CP-A.3, CP-B.6, and CP-B.7.

Illustrative Mathematics: Fred’s Fun Factory: This task aligns with standards MD-B.5 and MD-B.7, and MD-A.2.

Mathematics Vision Project, Secondary 2 Student Edition:

  • Module 9: Probability: This module contains 6 classroom tasks.  Standard MD-B.7 is found within task 1.

 

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