Select the cluster for resources on this page:
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.
National Library of Virtual Manipulatives: Box Model -- investigate theoretical and experimental probabilities.
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:
ACT Academy and 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: Statistics and Probability: 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: https://www.map.mathshell.org/stds.php?standardid=1233
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:
ACT Academy and OpenEd: Analyze decisions and strategies using probability: 3 questions combine multiple choice and free response. Includes related review resources. Aligns with MD-B.7.
Khan Academy: Practice questions with videos: Using probability to make fair decisions: Aligns with MD-A.2, MD-B.6, 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: Statistics and Probability: 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:
NCTM's Reasoning and Sense Making Task Library: Cash or Gas? includes the task overview, teacher notes for its use in the classroom, and student activity sheet. Aligns with number standards Q-A.1, Q-A.2, statistics standard MD-B.5.b, and mathematical practice standards 1, 3, 4, and 5.
Common Core Math: Intro | HS Statistics & Probability Domain: ID | IC | CP | MD |