State of New Jersey Department of Education
Mathematics Test Specifications
Contents
Mathematics - ESPA

Cluster IV: Data Analysis, Probability, and Discrete Mathematics
Informed by Content Standards: 4.12, 4.14
Informed by Cross-Content Standards: 4.1, 4.2, 4.3, 4.4, 4.5, 4.10, 4.16 Power Base p. 23-26

Macro A | Macro B | Macro C | Macro D
Macro (A): (4.12.2, 4.12.6, 4.12.7, 4.12.8)
Determine the probability of a simple event and predict outcomes.

Knowledge: (4.12.2, 4.12.6, 4.12.7, 4.12.8)
The student should have a conceptual understanding of:

1. Probability and related vocabulary
a. event, chance, outcome, fairness, randomness
b. possible, impossible, certain, probable, equally likely, fair, fairness, chance
The student should be able to:
2. Determine the probability of simple events.


Problem-Solving Skills: (4.12.2, 4.12.6, 4.12.7, 4.12.8)
In problem settings, using abilities that comprise the power base, the student should be able to:

3. Solve problems that involve predicting the outcome of a chance event.

Macro A | Macro B | Macro C | Macro D | Top


Macro (B): (4.12.1, 4.12.3, 4.12.4, 4.12.5, 4.14.4)
Collect, organize, analyze, and interpret data.

Knowledge: (4.12.1, 4.12.3, 4.12.4, 4.12.5, 4.14.4)
The student should have a conceptual understanding of:

1. Measures of central tendency and descriptions of sets of data
a. mean, median, mode, average
b. frequency, data, survey, range, tally
2. Displays of data
a. frequency tables
b. circle graphs, pictographs, bar graphs, broken line graphs
Problem-Solving Skills: (4.12.1, 4.12.3, 4.12.4, 4.12.5, 4.14.4)
In problem settings, using abilities that comprise the power base, the student should be able to:
3. Represent data using an appropriate graph.
4. Analyze data using mean, median, mode, range, frequency.
5. Make inferences based on organized data and displays.

Macro A | Macro B | Macro C | Macro D | Top

Macro (C): (4.14.5)
Follow, devise, and describe algorithms.

Knowledge: (4.14.5)
The student should be able to:

1. Follow an algorithm to accomplish a given task.
Problem-Solving Skills: (4.14.5)
In problem settings, using abilities that comprise the power base, the student should be able to:
2. Develop an algorithm.
3. Describe a set of instructions to accomplish a given task.

Macro A | Macro B | Macro C | Macro D | Top

Macro (D): (4.14.1, 4.14.2)
Devise and use strategies for puzzles, games, and counting problems, as well as problems involving combinations and permutations.

Knowledge: (4.14.1, 4.14.2)
The student should have a conceptual understanding of:

1. Network
2. Tree diagram
The student should be able to:
3. Make an organized list for simple counting problems.
4. Make an organized list of all possible combinations or permutations for a simple situation.
Problem-Solving Skills: (4.14.1, 4.14.2)
In problem settings, using abilities that comprise the power base, the student should be able to:
5. Draw and interpret networks and tree diagrams.
6. Compare and evaluate different strategies for playing a game.
7. Devise and apply strategies for solving puzzles and games.

Macro A | Macro B | Macro C | Macro D | Top