ALGEBRA 1
SOFTWARE

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Math Trek Probability includes Lesson modules, Practice modules, a Probability Tool, and supplemental activities. Animation and attractive color graphics engage students' interest and make learning more fun. Effective visual presentation also helps to increase understanding.



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In the interactive Probability component students will:

• explore a variety of situations involving random outcomes, uncertainty and chance
• design and conduct their own experiments using the Probability Tool
• estimate probabilities from a variety of experimental results and collected data
• explain the connections and distinctions between experimental and theoretical probability
• use experimental and theoretical probability to represent and solve problems involving uncertainty
• create, interpret and graphically represent a variety of probability distributions including binomial and hypergeometric distributions
• calculate the mean of a probability distribution
  

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LESSON MODULE

There are four main topics in the Probability component. Listed below each topic are the content items covered.

• Introduction
  Introduction / Probability Ranges / Empirical vs. Theoretical
• Empirical Experiments
  Casino Dice / Coin Flip / Card Suits / Card Straights / Candy Hearts
  
• Empirical Data
  Introduction / Three Daughters / Baseball Slugger / Summary
  
• Theoretical Probability
  Introduction / Simple Events / Drawing Diamonds / Candy Jar / Sample Space / Combination 'OR' Events / Combination 'AND' Events / Tree Diagrams / Basketball Example / Area Probability Graphs / Mathematical Expectation / Mean of Probability Distribution / Binomial Distributions / Bernouli Trials / Hypergeometric Distributions

1. Cards
   Randomly deals up to 10 hands (at a time) of up to 7 cards each (with a maximum total of 52 cards).
2. Candy
   Draws up to 5 candies from
   1-5 different kinds in a jar. Allows 10 different draws per experiment.
3. Coins
   Flips as many as 10 coins, up to 10 times each and reports the results.
4. Dice
   The dice tools allow the student to choose the number of sides, the number of dice per roll, and a target sum. Students can roll up to 100,000 times, and the program provides both the experimental and the theoretical probability of achieving the target sum. The tools also report the outcomes when you roll as many as 10 dice at a time, up to 10 rolls per experiment.

Supplementary activities use the Probability Tool component of the program to focus on student experimentation. Many of these include a theoretical component designed to illustrate the connections and distinctions between experimental and theoretical probability. Be creative and develop your own classroom activities using the Probability Tool.


STUDENT ACTIVITIES
Included in the manual are twelve Probability activities designed to provide additional applications and opportunities to practice concepts and skills addressed in the software. Activities encourage student experimentation using the Probability Tool.