# Activities

• ##### Download

• • ##### Subject Area

• Math: Middle Grades Math: Statistics and Probability

• ##### Author 6-8

45 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.6

Long Run

#### Activity Overview

This lesson involves investigating simulations used to observe long-run relative frequencies.

#### Objectives

• Students will conduct simulations with multiple trials.
• Students will use relative frequencies to compute experimental probabilities.
• Students will informally explore the use of a simulation to observe long-run relative frequencies.

#### Vocabulary

• Law of Large Numbers
• frequency
• relative frequency
• experimental probability
• theoretical probability
• scatter plot
• connected scatter plot
• trial
• simulation

#### About the Lesson

This lesson involves investigating simulations used to observe long-run relative frequencies.
As a result, students will:

• Simulate drawing blue and red marbles one at a time from a bag.
• Generate a scatter plot of the relative frequencies of blue marbles.
• Examine variations in the scatter plots generated by the simulations.
• Determine and discuss any consistent patterns or trends found in the results of these simulations.