Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Number:**MAFS.912.S-CP.1

**Title:**Understand independence and conditional probability and use them to interpret data. (Algebra 2 - Additional Cluster)

**Type:**Cluster

**Subject:**Mathematics

**Grade:**912

**Domain-Subdomain:**Statistics & Probability: Conditional Probability & the Rules of Probability

## Related Standards

## Related Access Points

## Access Points

P(A and B) = P(A) × P(B)

## Related Resources

## Assessments

## Educational Software / Tool

## Lesson Plans

## Perspectives Video: Expert

## Problem-Solving Tasks

## Teaching Idea

## Text Resources

## Video/Audio/Animation

## Virtual Manipulatives

## Worksheet

## Student Resources

## Educational Software / Tool

This Excel spreadsheet allows the educator to input data into a two way frequency table and have the resulting relative frequency charts calculated automatically on the second sheet. This resource will assist the educator in checking student calculations on student-generated data quickly and easily.

Steps to add data: All data is input on the first spreadsheet; all tables are calculated on the second spreadsheet

- Modify column and row headings to match your data.
- Input joint frequency data.
- Click the second tab at the bottom of the window to see the automatic calculations.

Type: Educational Software / Tool

## Problem-Solving Tasks

This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions.

Type: Problem-Solving Task

The task is intended to address sample space, independence, probability distributions and permutations/combinations.

Type: Problem-Solving Task

Students answer questions about the probabilities of independent and dependent events.

Type: Problem-Solving Task

This problem solving task lets students explore the concept of independence of events.

Type: Problem-Solving Task

The purpose of this task is to assess a student's ability to explain the meaning of independence in a simple context.

Type: Problem-Solving Task

This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data.

Type: Problem-Solving Task

This task asks students to calculate probabilities using information presented in a two-way frequency table.

Type: Problem-Solving Task

This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic by consulting a table of data.

Type: Problem-Solving Task

## Virtual Manipulatives

In this activity, students adjust how many sections there are on a fair spinner then run simulated trials on that spinner as a way to develop concepts of probability. A table next to the spinner displays the theoretical probability for each color section of the spinner and records the experimental probability from the spinning trials. This activity allows students to explore the topics of experimental and theoretical probability by seeing them displayed side by side for the spinner they have created. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Virtual Manipulative

This online manipulative allows the student to simulate placing marbles into a bag and finding the probability of pulling out certain combinations of marbles. This allows exploration of probabilities of multiple events as well as probability with and without replacement. The tabs above the applet provide access to supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet.

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Tasks

This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions.

Type: Problem-Solving Task

The task is intended to address sample space, independence, probability distributions and permutations/combinations.

Type: Problem-Solving Task

Students answer questions about the probabilities of independent and dependent events.

Type: Problem-Solving Task

This problem solving task lets students explore the concept of independence of events.

Type: Problem-Solving Task

The purpose of this task is to assess a student's ability to explain the meaning of independence in a simple context.

Type: Problem-Solving Task

This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data.

Type: Problem-Solving Task

This task asks students to calculate probabilities using information presented in a two-way frequency table.

Type: Problem-Solving Task

This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic by consulting a table of data.

Type: Problem-Solving Task