State of New Jersey Department of Education

TEST SPECIFICATION
STANDARD 4.4 (DATA ANALYSIS, PROBABILITY, AND DISCRETE MATHEMATICS): by Grade 3

Cumulative Progress Indicators

A. Data Analysis [4.4.3.A]
  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 [4.4.3.B]
  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 [4.4.3.C]
  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 [4.4.3.D]
  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.