Alignment of National Evaluation Series Essential Academic Skills: Mathematics Framework with National Standards

This alignment study identifies the national standards that are addressed in whole or in part by each competency of the assessment framework. An indication of alignment does not necessarily imply complete congruence of the content of a test competency with the relevant standard. The information in this document is subject to change if revisions are made to the assessment framework. Any changes will fully supersede the information contained in this document.

007: Essential Academic Skills: Mathematics
Competency Standards
0001: Apply knowledge of number properties and operations.
National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics opens in new window
(Note: This is a hyperlink to the standards summary. They are not available online without paying a fee or without joining the National Council of Teachers of Mathematics.)
Number and Operations: Understand numbers, ways of representing numbers, relationships among numbers, and number systems
Number and Operations: Understand meanings of operations and how they relate to one another
Number Operations: Compute fluently and make reasonable estimates
Process Standard: Problem Solving Bullets- 1, 2, 3, 4
Process Standard: Reasoning and Proof Bullets- 2, 3, 4
Process Standard: Communication Bullets- 1, 2, 4
Process Standard: Connections Bullets- 1, 2, 3
Process Standard: Representation Bullets- 1, 2, 3
National Council of Teachers of Mathematics (NCTM)/ Council for the Accreditation of Educator Preparation (CAEP) NCTM CAEP Standards – Elementary Math Specialist pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Elementary Specialist NCTM CAEP Standards - Elementary Math Specialist (Addendum) pdf opens in new window
C.1. Number and Operations
NCTM/CAEP NCTM CAEP Standards – Middle Grades (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Middle Grades NCTM CAEP Standards - Middle Grades (Addendum) pdf opens in new window
B.1. Number Systems
NCTM/CAEP NCTM CAEP Standards – Secondary (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content - Secondary. NCTM CAEP Standards – Secondary Mathematics (Addendum) pdf opens in new window
A.1. Number and Quantity
0002: Apply algebraic principles and concepts.
National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics opens in new window (Note: This is a hyperlink to the standards summary. They are not available online without paying a fee or without joining the National Council of Teachers of Mathematics.)
Algebra: Understand patterns, relations, and functions
Algebra: Represent and analyze mathematical situations and structures using algebraic symbols
Algebra: Use mathematical models to represent and understand quantitative relationships
Algebra: Analyze change in various contexts
Process Standard: Problem Solving Bullets- 1, 2, 3, 4
Process Standard: Reasoning and Proof Bullets- 2, 3, 4
Process Standard: Communication Bullets- 1, 2, 4
Process Standard: Connections Bullets- 1, 2, 3
Process Standard: Representation Bullets- 1, 2, 3
National Council of Teachers of Mathematics (NCTM)/ Council for the Accreditation of Educator Preparation (CAEP). NCTM CAEP Standards – Elementary Math Specialist pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Elementary Specialist NCTM CAEP Standards - Elementary Math Specialist (Addendum) pdf opens in new window
C.2. Algebra
NCTM/CAEP NCTM CAEP Standards – Middle Grades (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Middle Grades NCTM CAEP Standards - Middle Grades (Addendum) pdf opens in new window
B.1. Number Systems
NCTM/CAEP NCTM CAEP Standards – Secondary (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content - Secondary NCTM CAEP Standards - Secondary Mathematics (Addendum) pdf opens in new window
A.2. Algebra
0003: Apply knowledge of measurement principles and geometric concepts.
National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics opens in new window (Note: This is a hyperlink to the standards summary. They are not available online without paying a fee or without joining the National Council of Teachers of Mathematics.)
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems
Geometry: Apply transformations and use symmetry to analyze mathematical situations
Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems
Measurement: Understand measurable attributes of objects and the units, systems, and processes of measurement
Measurement: Apply appropriate techniques, tools, and formulas to determine measurements
Process Standard: Problem Solving Bullets- 1, 2, 3, 4
Process Standard: Reasoning and Proof Bullets- 2, 3, 4
Process Standard: Communication Bullets- 1, 2, 4
Process Standard: Connections Bullets- 1, 2, 3
Process Standard: Representation Bullets- 1, 2, 3
National Council of Teachers of Mathematics (NCTM)/ Council for the Accreditation of Educator Preparation (CAEP) NCTM CAEP Standards – Elementary Math Specialist pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Elementary Specialist NCTM CAEP Standards - Elementary Math Specialist (Addendum) pdf opens in new window
C.3. Geometry and Measurement
NCTM/CAEP NCTM CAEP Standards – Middle Grades (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Middle Grades. NCTM CAEP Standards - Middle Grades (Addendum) pdf opens in new window
B.3. Geometry and Trigonometry
NCTM/CAEP NCTM CAEP Standards – Secondary (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content - Secondary. NCTM CAEP Standards - Secondary Mathematics (Addendum) pdf opens in new window
A.3. Geometry and Trigonometry
0004: Apply knowledge of probability and statistics principles and concepts.
National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics opens in new window (Note: This is a hyperlink to the standards summary. They are not available online without paying a fee or without joining the National Council of Teachers of Mathematics.)
Data Analysis and Probability: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
Data Analysis and Probability: Select and use appropriate statistical methods to analyze data
Data Analysis and Probability: Develop and evaluate inferences and predictions that are based on data
Data Analysis and Probability: Understand and apply basic concepts of probability
Process Standard: Problem Solving Bullets- 1, 2, 3, 4
Process Standard: Reasoning and Proof Bullets- 2, 3, 4
Process Standard: Communication Bullets- 1, 2, 4
Process Standard: Connections Bullets- 1, 2, 3
Process Standard: Representation Bullets- 1, 2, 3
National Council of Teachers of Mathematics (NCTM)/ Council for the Accreditation of Educator Preparation (CAEP) NCTM CAEP Standards – Elementary Math Specialist pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Elementary Specialist NCTM CAEP Standards - Elementary Math Specialist (Addendum) pdf opens in new window
C.4. Statistics and Probability
NCTM/CAEP NCTM CAEP Standards – Middle Grades (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content – Middle Grades. NCTM CAEP Standards - Middle Grades (Addendum) pdf opens in new window
B.4. Statistics and Probability
NCTM/CAEP NCTM CAEP Standards – Secondary (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP Mathematics Content - Secondary NCTM CAEP Standards - Secondary Mathematics (Addendum) pdf opens in new window
A.4. Statistics and Probability
0005: Analyze mathematical problem solving, reasoning, and communication skills.
National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics opens in new window (Note: This is a hyperlink to the standards summary. They are not available online without paying a fee or without joining the National Council of Teachers of Mathematics.)
Process Standard: Problem Solving Bullets- 1, 2, 3, 4
Process Standard: Reasoning and Proof Bullets- 2, 3, 4
Process Standard: Communication Bullets- 1, 2, 4
Process Standard: Connections Bullets- 1, 2, 3
Process Standard: Representation Bullets- 1, 2, 3
National Council of Teachers of Mathematics (NCTM)/ Council for the Accreditation of Educator Preparation (CAEP) NCTM CAEP Standards – Elementary Math Specialist pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP NCTM CAEP Standards – Middle Grades (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices
NCTM/CAEP NCTM CAEP Standards – Secondary (Initial Preparation) pdf opens in new window
Standard 1: Content Knowledge
Standard 2: Mathematical Practices