A. Data Analysis

1. Collect, generate, organize, and display data.
   • Data generated from surveys
2. Read, interpret, select, construct, analyze, generate questions about, and draw inferences from displays of data.
   • Bar graph, line graph, circle graph, table
   • Range, median, and mean
3. Respond to questions about data and generate their own questions and hypotheses.

B. Probability

1. Determine probabilities of events.
   • Event, probability of an event
   • Probability of certain event is 1 and of impossible event is 0
2. Determine probability using intuitive, experimental, and theoretical methods (e.g., using model of picking items of different colors from a bag).
   • Given numbers of various types of items in a bag, what is the probability that an item of one type will be picked
   • Given data obtained experimentally, what is the likely distribution of items in the bag
3. Model situations involving probability using simulations (with spinners, dice) and theoretical models.

C. Discrete Mathematics-Systematic Listing and Counting

1. Solve counting problems and justify that all possibilities have been enumerated without duplication.
   • Organized lists, charts, tree diagrams, tables
2. Explore the multiplication principle of counting in simple situations by representing all possibilities in an organized way (e.g., you can make 3 x 4 = 12 outfits using 3 shirts and 4 skirts).

D. Discrete Mathematics-Vertex-Edge Graphs and Algorithms

1. Devise strategies for winning simple games (e.g., start with two piles of objects, each of two players in turn removes any number of objects from a single pile, and the person to take the last group of objects wins) and express those strategies as sets of directions.