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Grade 7, Math
Std #13:
Determine the probability of a compound event.
  • Representing outcomes as a list, chart, picture, or tree diagram
  • Determining the number of possible outcomes by using the functional counting principle or other techniques
  • Modeling the probability of events through simulations with random numbers

Lesson Plans:

Drip, Drop, Drip, Drop: 
Students design a model simulating a leaky faucet, graph, interpret, and predict the results and relate the experiment to water conservation.

Tree Diagrams and Probability:
This lesson is designed to develop students ability to create tree diagrams and figure probabilities of events based on those diagrams.

Probability and Geometry:
The activity and two discussions of this lesson connect probability and geometry.  The Polyhedra discussion leads to platonic solids, and the Probability and Geometry discussion leads to connections between angles, areas and probability.  The subtitle difference between defining probability by counting outcomes and defining probability by measuring proportions of geometrical characteristics is brought to light.

Fire!, Probability, and Chaos:
This lesson utilizes concepts of probability, graphing and graph interpretation, mean, and variance in analyzing a simulation of a forest fire.

Probability: The Study of Chance
The theory of probability is an important branch of mathematics with many practical applications in the physical, medical, biological, and social sciences.

PBS Mathline - Chances Are, Part 1: Talking Probability
Focus on the "language" of probability by listing events from your life that are certain, impossible, likely and unlikely to happen.  Determine the likelihood of an event occurring using a probability scale.

Arthur - Probability
Explore chance and probability with a yes or no spinner.  Ask the spinner questions and determine how often it answers correctly.

PBS Mathline - Rock Around the Clock
Explore probability simulations and use the Monte Carlo method to determine a reasonable number of packs of gum that need to be purchased to win a complete set of prizes.

The Smithville Families
Create the number sequences of Pascal's triangle, and discover a relationship that this triangle has to theoretical probability.

First Measured Century - How Typical or Atypical is Your Community?
Explain the concepts of typical and atypical based on the findings of the Lynds in Middletown, Indiana in 1924. Research and present an analysis of how typical your community is by comparing its characteristics to those of the nations as a whole.

First Measured Century - The Demise of the Great American Frontier:  Westward Spread of American population from 1790 to 1900.
Examine maps created by Frederick Jackson Turner and census data showing the end of the frontier in the early 19th century.  Display visual data by developing a series of shaded maps using census data to show the moving frontier.

Remove One
Develop winning game strategies based on probable outcomes of events. Collect data on rolls of dice and use it to predict future rolls.

Earth Day: What We Do Adds Up
Explore averages and rates of change and apply to calculate the cumulative effect of garbage thrown out by people over time.  Use population data from the US Bureau of Census to estimate how much garbage your county threw away during one month.

 

Resources:

Using Data and Statistics
Explanations and examples of various graphs, along with mean, median, and mode.

Trillion Dollar Bet: Virtual Stock Market
Investigate the workings of the stock market by trading traditional stocks and using call options in this online interactive activity.

Cyberchase - Coin Toss
Understand basic principles of randomness and probability to predict the results of a number of coin tosses.

Create a Graph: 
Online color graph generator. Choose from four types of graphs. Suitable for transparencies, reports, or tests.

Charts And Graphs: 
This site gives simple explanations of three types of charts.

 

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