Study Guide

Overview and Test Objectives
Field 022: Mathematics (Secondary)

Test Overview

Table outlining the test format, number of questions, time, and passing score.
Format Computer-based test (CBT)
Number of Questions 80 multiple-choice questions
Time 2 hours 30 minutes*
Passing Score 220

*Does not include 15-minute CBT tutorial

Test Objectives

Table outlining test content and subject weighting by sub area and objective.
Subarea Range of Objectives Approximate Percentage of Questions on Test
I Mathematical Processes and Number Concepts 001–004 22%
II Patterns, Algebraic Relationships, and Functions 005–009 28%
III Measurement and Geometry 010–013 22%
IV Data Analysis, Statistics, Probability, and Discrete Mathematics 014–018 28%
Pie chart of approximate test weighting, detailed in the table below.

Subarea I—MATHEMATICAL PROCESSES AND NUMBER CONCEPTS

Objective 001—Understand principles of mathematical reasoning and techniques for communicating mathematical ideas.

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Objective 002—Understand problem-solving strategies, connections among different mathematical ideas, and the use of mathematics in other fields.

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Objective 003—Understand number systems and equivalent ways of representing numbers.

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Objective 004—Understand number theory and operations on number systems.

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Subarea II—PATTERNS, ALGEBRAIC RELATIONSHIPS, AND FUNCTIONS

Objective 005—Describe, analyze, and generalize mathematical patterns.

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Objective 006—Use symbolic expressions to describe and analyze patterns of change and functional relationships.

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Objective 007—Understand properties and applications of linear and quadratic functions, and solve related equations and inequalities.

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Objective 008—Understand properties and applications of polynomial, rational, radical, exponential, logarithmic, and trigonometric functions, and solve related equations and inequalities.

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Objective 009—Understand principles and applications of differential and integral calculus.

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Subarea III—MEASUREMENT AND GEOMETRY

Objective 010—Understand attributes of measurement and measuring units.

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Objective 011—Apply measurement principles to analyze the spatial characteristics of two- and three-dimensional shapes.

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Objective 012—Apply geometric principles of points, lines, angles, planes, congruence, and similarity to analyze the formal characteristics of two- and three-dimensional shapes.

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Objective 013—Apply properties of geometric transformations and coordinate and vector methods to describe geometric objects in two and three dimensions.

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Subarea IV—DATA ANALYSIS, STATISTICS, PROBABILITY, AND DISCRETE MATHEMATICS

Objective 014—Understand methods of collecting, organizing, and displaying data.

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Objective 015—Understand methods of describing, analyzing, and interpreting data.

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Objective 016—Understand methods of making predictions and inferences based on data.

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Objective 017—Understand the theory of probability and probability distributions.

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Objective 018—Understand principles of discrete mathematics.

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