Study Guide

Overview and Test Objectives
Field 089: Mathematics (Elementary)

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 001–005 28%
II Patterns, Algebraic Relationships, and Functions 006–010 28%
III Measurement and Geometry 011–014 22%
IV Data Analysis, Statistics, Probability, and Discrete Mathematics 015–018 22%
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.

Includes:

Objective 002—Understand problem-solving strategies, connections among different mathematical ideas, and the use of mathematical modeling to solve real-world problems.

Includes:

Objective 003—Understand and apply concepts of proportional reasoning.

Includes:

Objective 004—Understand number systems and equivalent ways of representing numbers.

Includes:

Objective 005—Understand number theory and operations on number systems.

Includes:

 

Subarea II—PATTERNS, ALGEBRAIC RELATIONSHIPS, AND FUNCTIONS

Objective 006—Describe, analyze, and generalize mathematical patterns.

Includes:

Objective 007—Use variables and symbolic expressions to describe and analyze patterns of change and functional relationships.

Includes:

Objective 008—Understand properties and applications of linear functions, and solve related equations and inequalities.

Includes:

Objective 009—Understand properties and applications of quadratic functions, and solve related equations and inequalities.

Includes:

Objective 010—Understand properties and applications of nonlinear functions and the conceptual foundations of calculus.

Includes:

 

Subarea III— MEASUREMENT AND GEOMETRY

Objective 011—Understand attributes of measurement and measuring units.

Includes:

Objective 012—Apply measurement principles to analyze the spatial characteristics of two- and three-dimensional shapes.

Includes:

Objective 013—Apply geometric principles of points, lines, angles, planes, congruence, and similarity to analyze the formal characteristics of two- and three-dimensional shapes.

Includes:

Objective 014—Apply properties of geometric transformations and coordinate geometry to describe geometric objects in two and three dimensions.

Includes:

 

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

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

Includes:

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

Includes:

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

Includes:

Objective 018—Understand principles of discrete mathematics.

Includes: