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

Cluster V: Patterns and Algebra Informed by Content Standards: 4.11, 4.13, 4.14.3, 4.15 
Informed by Cross-Content Standards: 4.1, 4.2, 4.3, 4.4, 4.5, 4.10, 4.16 Power Base p. 27-29

Macro A | Macro B | Macro C
Macro (A): (4.11.1, 4.11.3, 4.11.5, 4.14.3, 4.15.1)
Use a variety of materials to extend, create, and describe patterns, sequences, and relationships that are in mathematics and other disciplines.

Knowledge: (4.11.1, 4.11.3, 4.11.5, 4.14.3, 4.15.1)
The student should be able to:

1. Recognize patterns, sequences, and relationships including those found in nature and art.
2. Recognize that most patterns and sequences continue indefinitely.
3. Use concrete, pictorial, and symbolic representations to model patterns and relationships.
Problem-Solving Skills: (4.11.1, 4.11.3, 4.11.5, 4.14.3, 4.15.1)
In problem settings, using abilities that comprise the power base, the student should be able to:
4. Reproduce and extend numerical and non-numerical patterns.
5. Create numerical and non-numerical patterns.
6. Describe numerical and non-numerical patterns.

Macro A | Macro B | Macro C | Top


Macro (B): (4.11.2, 4.11.6, 4.13.1, 4.13.2, 4.13.3, 4.13.4)
Use algebraic concepts and processes to form, describe, and verify generalizations based on observations of patterns and relationships.

Knowledge: (4.11.2, 4.11.6, 4.13.1, 4.13.2, 4.13.3, 4.13.4)
The student should have a conceptual understanding of:

1. Basic algebraic elements
a. variable, expression, open sentence, rule
The student should be able to:
2. Construct an open sentence when given a rule.
3. Construct a graph from a table.
Problem-Solving Skills: (4.11.2, 4.11.6, 4.13.1, 4.13.2, 4.13.3, 4.13.4)
In problem settings, using abilities that comprise the power base, the student should be able to:
4. Create a rule based on input and output data.
5. Solve a simple open sentence involving one operation.
6. Translate among tables, rules, open sentences, graphs.
7. Form, describe, and verify generalizations based on observations of patterns and relationships.

Macro A | Macro B | Macro C | Top

Macro (C): (4.11.4, 4.15.2)
Recognize and describe change in quantities.

Knowledge: (4.11.4, 4.15.2)
The student should be able to:

1. Recognize that certain quantities (such as temperature, bank balance, height) change over time.
Problem-Solving Skills: (4.11.4, 4.15.2)
In problem settings, using abilities that comprise the power base, the student should be able to:
2. Describe how certain quantities change over time.
3. Explain how a change in one quantity can produce a corresponding change in another.

Macro A | Macro B | Macro C | Top