Field 326: Mathematics

Alignment of National Evaluation Series Mathematics (326) 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 National Evaluation Series 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.

Number Sense and Algebraic Reasoning

Competency Standard
0001: Understand real numbers and mathematical problem solving. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • NumOps.Understand Numbers.1,2
  • NumOps.Understand Ops.1-2
  • NumOps.Compute Fluently.1-2
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1a: Essential Concepts in Number
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.1.1-3
0002: Apply algebraic techniques. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Algebra.Represent and Analyze.1-5
  • Algebra.Use Math Models.1-3
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1b: Essential Concepts in Algebra and Functions
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.2.1,3
0003: Understand complex numbers, vectors, and matrices. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • NumOps.Understand Numbers.3
  • NumOps.Understand Ops.2
  • NumOps.Compute Fluently.1
  • Geometry.Transformations.1
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1b: Essential Concepts in Algebra and Functions
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.1.4

Functions and Relations

Competency Standard
0004: Apply the principles and properties of algebraic functions and relations. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Algebra.9-12.Understand Patterns.1,2,4,5
  • Algebra.9-12.Represent and Analyze.2,4
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1b: Essential Concepts in Algebra and Functions
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.2.1-2
0005: Understand linear, quadratic, and higher-degree polynomial functions. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Algebra.9-12.Understand Patterns.1-6
  • Algebra.9-12.Represent and Analyze.1-5
  • Algebra.9-12.Use Math Models.1-3
  • Algebra.9-12.Analyze Change.1
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1b: Essential Concepts in Algebra and Functions
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.2.1-4
0006: Understand exponential and logarithmic functions. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Algebra.9-12.Understand Patterns.1-6
  • Algebra.9-12.Represent and Analyze.1-5
  • Algebra.9-12.Use Math Models.1-3
  • Algebra.9-12.Analyze Change.1
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1b: Essential Concepts in Algebra and Functions
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.2.1-4
0007: Understand rational, radical, absolute value, and piecewise defined functions. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Algebra.9-12.Understand Patterns.1-6
  • Algebra.9-12.Represent and Analyze.1-5
  • Algebra.9-12.Use Math Models.1-3
  • Algebra.9-12.Analyze Change.1
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1b: Essential Concepts in Algebra and Functions
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.2.1-4

Measurement and Geometry

Competency Standard
0008: Understand measurement principles and procedures. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Measurement.9-12.Measurable Attributes.1
  • Measurement.9-12.Apply Techniques.1-4
  • Geometry.9-12.Solve Problems.5
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1e: Essential Concepts in Geometry, Trigonometry, and Measurement.
  • 2a: Problem Solving
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.1.3;
  • A.3.7
0009: Understand Euclidean geometry in two and three dimensions. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Geometry.9-12.Properties of Shapes.1-4
  • Geometry.9-12.Solve Problems.1,2,4,5
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1e: Essential Concepts in Geometry, Trigonometry, and Measurement
  • 2a: Problem Solving
  • 4d: Use Mathematical Representations
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.3.1-4,6-9
0010: Understand coordinate and transformational geometry. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Geometry.9-12.Properties of Shapes.1-3
  • Geometry.9-12.Locations and Coords.1-2
  • Geometry.9-12.Transformations.1-2
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1e: Essential Concepts in Geometry, Trigonometry, and Measurement
  • 2a: Problem Solving
  • 4d: Use Mathematical Representations
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.3.1-3, 6-7, 9

Trigonometry and Calculus

Competency Standard
0011: Understand essential concepts in trigonometry. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Geometry.9-12.Properties of Shapes.4
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1e: Essential Concepts in Geometry, Trigonometry, and Measurement
  • 2a: Problem Solving
  • 4d: Use Mathematical Representations
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.2.2;
  • A.3.4-5
0012: Understand essential concepts in calculus. NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1c: Essential Concepts in Calculus
  • 2a: Problem Solving
  • 4d: Use Mathematical Representations
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.5.1

Statistics and Probability

Competency Standard
0013: Understand principles and techniques of statistics. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • Data Analysis and Prob.9-12.Data.2-4
  • Data Analysis and Prob.9-12.Stat Methods.1-5
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1d: Essential Concepts in Statistics and Probability
  • 2a: Problem Solving
  • 4d: Use Mathematical Representations
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.4.1,3
0014: Understand principles and techniques of probability. National Council of Teachers of Mathematics. Principles and Standards for School Mathematics
  • NumOps.9-12.Understand Ops.3
  • Data Analysis and Prob.9-12.Inferences.1
  • Data Analysis and Prob.9-12.Probablity.1-5
NCTM Standards for the Preparation of Secondary Mathematics Teachers (2020) [PDF]
  • 1d: Essential Concepts in Statistics and Probability
  • 4d: Use Mathematical Representations
NCTM/CAEP Mathematics Content - Secondary. Addendum to the NCTM CAEP Standards 2012 [PDF]
  • A.4.4

 

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