Develop rules for finding probabilities of combined and complementary events. Understand and use conditional probability and the related Bayes’ Theorem.
Number: MA.912.P.2
Title: Determine Probabilities
Type:
Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Probability
Related Benchmarks
This cluster includes the following benchmarks
| Code |
Description |
| MA.912.P.2.1: | Determine probabilities of complementary events, and calculate odds for and against the occurrence of events. |
| MA.912.P.2.2: | Determine probabilities of independent events. |
| MA.912.P.2.3: | Understand and use the concept of conditional probability, including: understanding how conditioning affects the probability of events and finding conditional probabilities from a two-way frequency table.
|
Related Access Points
This cluster includes the following access points.
Independent
| Access Point Number |
Access Point Title |
| MA.912.P.2.In.a: | Identify if given outcomes for events in real-world situations are certain, likely, or impossible based on data in a graph or chart. |
Supported
| Access Point Number |
Access Point Title |
| MA.912.P.2.Su.a: | Predict the likely outcome of a simple experiment or event by selecting from three choices of outcomes. |
Participatory
| Access Point Number |
Access Point Title |
| MA.912.P.2.Pa.a: | Predict the next activity in common real-world situations. |
Related Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Image/Photograph
Lesson Plan
| Name |
Description |
| 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. |
Problem-Solving Task
| Name |
Description |
| MIT BLOSSOMS - The Broken Stick Experiment: Triangles, Random Numbers and Probability: | This learning video is designed to develop critical thinking in students by encouraging them to work from basic principals to solve a puzzling mathematics problem that contains uncertainty. One class session of approximately 55 minutes is necessary for lesson completion. First-year simple algebra is all that is required for the lesson, and any high school student in a college-preparatory math class should be able to participate in this exercise. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities. |
Virtual Manipulative
| Name |
Description |
| Plinko Probability: | The students will play a classic game from a popular show. Through this they can explore the probability that the ball will land on each of the numbers and discover that more accurate results coming from repeated testing. The simulation can be adjusted to influence fairness and randomness of the results. |
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Virtual Manipulative
| Title |
Description |
| Plinko Probability: | The students will play a classic game from a popular show. Through this they can explore the probability that the ball will land on each of the numbers and discover that more accurate results coming from repeated testing. The simulation can be adjusted to influence fairness and randomness of the results. |
