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| Introduction | |
| General Description | |
| Calculator Requirements | |
| Format of the Test | |
| The Role of the Mathematics CK in Teacher Certification | |
| Questions Commonly Asked About the Mathematics CK | |
| How to Use This Cliffs Test Prep Book | |
| How to Prepare for the Day of the Test | |
| Test-Taking Strategies for the Mathematics CK | |
| Graphing Calculators and the Mathematics CK | |
| Subject Area Reviews | |
| Review for the Praxis Mathematics: Content Knowledge (0061) | |
| Notation, Definitions, and Formulas | |
| Notation | |
| Definitions | |
| Discrete Mathematics | |
| Formulas | |
| Algebra and Number Theory | |
| The Real and Complex Number Systems | |
| Rules to Compute By | |
| Order of Operations | |
| Properties of Number Systems | |
| Properties of the Counting Numbers | |
| Ratio, Proportion, Percent, and Average | |
| Algebraic Expressions, Formulas, and Equations | |
| Special Products | |
| Simplifying Polynomials | |
| Factoring Polynomials | |
| Rules for Radicals | |
| Rules for Exponents | |
| Steps for Solving One-Variable Linear Equations | |
| Steps for Solving a Quadratic Equation by Factoring | |
| Steps for Solving a Quadratic Equation by Completing the Square | |
| Steps for Solving a Quadratic Equation by Using the Quadratic Formula | |
| Systems of Equations and Inequalities | |
| Steps for Solving a System of Two Linear Equations by Substitution | |
| Steps for Solving a System of Two Linear Equations by Elimination (That Is, by Addition) | |
| Steps for Solving a System of Two Linear Equations by Using the Trace Feature | |
| Steps for Graphing a Two-Variable Linear Inequality | |
| Geometric Interpretations of Algebraic Principles | |
| Algebraic Representations of Lines, Planes, Conic Sections, and Spheres | |
| Algebraic Representation of a Line | |
| Algebraic Representation of Conic Sections | |
| Formulas Used in Two- and Three-Dimensional Coordinate Systems | |
| Measurement | |
| Unit Analysis | |
| Precision, Accuracy, and Approximate Error | |
| Informal Approximation Concepts | |
| Geometry | |
| Relationships Involving Geometric Figures | |
| Relationships among Quadrilaterals | |
| Problems Involving Properties of Plane Figures | |
| Problems Involving Properties of Circles | |
| The Pythagorean Theorem | |
| Perimeter, Area, and Volume | |
| Geometric Transformations | |
| Trigonometry | |
| The Six Basic Trigonometric Functions | |
| The Law of Sines and the Law of Cosines | |
| Special Angle Formulas and Identities | |
| Trigonometric Equations and Inequalities | |
| Rectangular and Polar Coordinate Systems | |
| Functions | |
| Representation of Functions | |
| Modeling with Functions | |
| Properties of a Function | |
| Problems Involving Functions | |
| Composition and Inverses of Functions | |
| Functions of Two Variables | |
| Calculus | |
| Limits | |
| Derivatives | |
| Continuity | |
| Analyzing the Behavior of a Function | |
| The Mean Value Theorem and the Fundamental Theorem of Calculus | |
| Integration as a Limiting Sum | |
| Approximation of Derivatives and Integrals | |
| Differentiation and Integration Techniques | |
| Differentiation Formulas | |
| Integration Formulas | |
| Limits of Sequences and Series | |
| Properties of Limits of Sequences | |
| Properties of Convergent Series | |
| Data Analysis and Statistics | |
| Organizing Data | |
| Measures of Central Tendency and Dispersions | |
| Regression | |
| Normal Distributions | |
| Informal Inference | |
| Types of Studies | |
| Characteristics of Well-Designed Studies | |
| Probability | |
| Sample Spaces and Probability Distributions | |
| Conditional Probability and Independent and Dependent Events | |
| Expected Value | |
| Empirical Probability | |
| Matrix Algebra | |
| Vectors and Matrices | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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