TCSS – Advanced Mathematical Decision Making
Unit 2
Content Map: Probability
Teacher Materials: Probability Teacher Materials (The Charles A. Dana Center)
CCGPS Unit Standards or Troup County Version (TCV):
MAMDMD1. Students will determine probability and expected value to inform everyday
decision making.
a. Determine conditional probabilities and probabilities of compound events to make decisions
in problem situations
b. Use probabilities to make and justify decisions about risks in everyday life
c. Calculate expected value to analyze mathematical fairness, payoff, and risk
MAMDMA4. Students will analyze and evaluate the mathematics behind various methods of
voting and selection.
a. Evaluate various voting and selection processes to determine an appropriate method for a
given situation
b. Apply various ranking algorithms to determine an appropriate method for a given situation
Prerequisites:
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Determining probability of simple events
Applying the concept of equally likely
Understanding experimental versus theoretical probability
Understanding the benefits of different models used to analyze probability
Constructing Venn diagrams, tree diagrams, and area models
Understanding set notation
Understanding the benefits of various models used to analyze probability
Solving questions in involving conditional probability of compound events
Demonstrating knowledge of Pascal's triangle
Unit Length: 24 days
TCSS – Advanced Mathematical Decision Making
Unit 2
Concept 1: Determining Probability (MAMDMD1.a)
Essential Questions:
How can students analyze and construct representations of events, including tree
diagrams, to determine conditional probabilities?
How can students construct Venn diagrams and determine probabilities of compound
events to make decisions about the risks involved in a situation?
How can students analyze and construct area models to determine the probabilities of
events in order to make decisions about the risks involved in a situation?
Resources:
2.A Student Activity Sheet 1: Using Venn Diagrams
2.A Teacher Activity Sheet 1: Using Venn Diagrams
2.A Student Activity Sheet 2: Using Tree Diagrams
2.A Teacher Activity Sheet 2: Use Tree Diagrams
2.A Student Activity Sheet 3: Area Models
2.A Teacher Activity Sheet 3: Area Models
2.A Student Activity Sheet 4: All-American Breakfast Choices
2.A Teacher Activity Sheet 4: All-American Breakfast Choices
Concept 2: Everyday Decisions based on Probability (MAMDMD1.b and A4.a-b)
Essential Questions:
How can students explore the use of probabilities in everyday situations such as
playing computer games or selecting classes?
How can students explore, make decisions, and justify their decisions about the risk
involved in a situation?
Resources:
2.B Student Activity Sheet 5: Probability in Games
2.B Teacher Activity Sheet 5: Probability in Games
2.B Student Activity Sheet 6: Driving and Risk
2.B Teacher Activity Sheet 6: Driving and Risk
2.B Student Activity Sheet 7: Stocks and Risk
2.B Teacher Activity Sheet 7: Stocks and Risk
2.B Student Activity Sheet 8: Choosing Classes
2.B Teacher Activity Sheet 8: Choosing Classes
TCSS – Advanced Mathematical Decision Making
Unit 2
Concept 3: Expected Value (MAMDMD1.c and A4.a-b)
Essential Questions:
How can students calculate expected values to analyze payoffs in a variety of
situations?
How can students apply their understanding of expected values to determine the
mathematical fairness of situations?
Resources:
2.C Student Activity Sheet 9: Binomial Probability and Expected Value
2.C Teacher Activity Sheet 9: Binomial Probability and Expected Value
2.C Student Activity Sheet 10: Expected Allowance
2.C Teacher Activity Sheet 10: Expected Allowance