Monday, June 20, 2011

Did they guess?

The following is a workshop used in a class for preservice K-8 math teachers. The goal of this activity is to use a simulation model to determine an approximate probability for a compound event. It is based on an example found in The Art and Techniques of Simulation. I updated the activity to reflect my current understandings and the Common Core State Standards (CCSS).

Grade 7 CCSS in Probability and Statistics [7.SP]
8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

Schema Activation: Pop Quiz
Take the following - record how sure you are of each answer on the righthand side.
Pascal's Triangle Quiz
True or false: The following number sequences can be found in Pascal's Triangle
  1. Triangular Numbers
  2. Square Numbers
  3. Pentagonal Numbers
Focus: Monte Carlo Procedure
from M3RP
Activity: Making a Guess
A class is taking a three-guestion true-false quiz. What are the chances that a person making a random guess on the quiz would get: (1) all of the question correct; (2) two question correct; (3) one question correct; or (4) no questions correct. You should start by making a prediction and then follow the steps outlined in the Focus to conduct 50 trials.

Reflect: Math Congress - Problem Solving
  • What did you understand about the problem?
  • How did you create and carry out your plan?
  • Looking back, where did you learn something new?
  • Looking forward, when could you apply your learning to another situation?

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