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

**Title:**Calculate expected values and use them to solve problems

**Type:**Cluster

**Subject:**Mathematics

**Grade:**912

**Domain-Subdomain:**Statistics & Probability: Using Probability to Make Decisions

## Related Standards

## Related Access Points

## Access Points

## Related Resources

## Educational Software / Tool

## Lesson Plans

## Perspectives Video: Experts

## Problem-Solving Task

## Teaching Idea

## Video/Audio/Animation

## Virtual Manipulatives

## Worksheet

## Student Resources

## Problem-Solving Task

The purpose of this task is to assess a student's ability to compute and interpret the expected value of a random variable.

Type: Problem-Solving Task

## Virtual Manipulatives

In this online activity, students burn a simulated forest and adjust the probability that the fire spreads from one tree to the other. This simulation also records data for each trial including the burn probability, where the fire started, the percent of trees burned, and how long the fire lasted. This activity allows students to explore the idea of chaos in a simulation of a realistic scenario. 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 are linked to the 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

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.

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Task

The purpose of this task is to assess a student's ability to compute and interpret the expected value of a random variable.

Type: Problem-Solving Task