A. Data Analysis

1. Collect, generate, organize, and display data in response to questions, claims, or curiosity.
   • Data collected from the classroom environment
2. Read, interpret, construct, analyze, generate questions about, and draw inferences from displays of data.
   • Pictograph, bar graph, table

B. Probability

1. Use everyday events and chance devices, such as dice, coins, and unevenly divided spinners, to explore concepts of probability.
   • Likely, unlikely, certain, impossible
   • More likely, less likely, equally likely
2. Predict probabilities in a variety of situations (e.g., given the number of items of each color in a bag, what is the probability that an item picked will have a particular color).
   • What students think will happen (intuitive)
   • Collect data and use that data to predict the probability (experimental)

C. Discrete Mathematics—Systematic Listing and Counting

1. Represent and classify data according to attributes, such as shape or color, and relationships.
   • Venn diagrams
   • Numerical and alphabetical order
2. Represent all possibilities for a simple counting situation in an organized way and draw conclusions from this representation.
   • Organized lists, charts

D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms

1. Follow, devise, and describe practical sets of directions (e.g., to add two 2-digit numbers).
2. Explore vertex-edge graphs
• Vertex, edge
• Path
3. Find the smallest number of colors needed to color a map.