Praxis II Mathematics Content Knowledge Test (0061)
Publisher: Houghton Mifflin Harcourt
Published: 2012
Place of publication: Boston; New York
Language: eng
Format: Paperback
ISBN-13: 9781118085554
Table of contents: title: Introduction
pagenum: 1; title: General Description
pagenum: 1; title: Calculator Requirements
pagenum: 1; title: Allocation of the Test Content
pagenum: 1; title: Scoring of the Test
pagenum: 3; title: The Role of the Mathematics CK in Teacher Certification
pagenum: 3; title: Questions Commonly Asked About the Mathematics CK
pagenum: 4; title: How to Use This CliffsNotes Book
pagenum: 5; title: How to Prepare for the Day of the Test
pagenum: 6; title: Test-Taking Strategies for the Mathematics CK
pagenum: 7; title: Graphing Calculators and the Mathematics CK
pagenum: 8; label: Part I
title: Subject Area Reviews; label: Chapter 1
title: Review for the Praxis Mathematics Content Knowledge (0061)
pagenum: 11; title: Notation, Definitions, and Formulas
pagenum: 11; title: Notation
pagenum: 11; title: Definitions
pagenum: 11; title: Discrete Mathematics
pagenum: 11; title: Formulas
pagenum: 12; label: Chapter 2
title: Algebra and Number Theory
pagenum: 15; title: The Real and Complex Number Systems
pagenum: 15; title: Intervals and Interval Notation
pagenum: 16; title: Rules to Compute By
pagenum: 16; title: Order of Operations
pagenum: 17; title: Properties of Number Systems
pagenum: 18; title: Properties of the Counting Numbers
pagenum: 20; title: Ratio, Proportion, Percent; and Average
pagenum: 21; title: Algebraic Expressions, Formulas, and Equations
pagenum: 22; title: Roots and Radicals
pagenum: 22; title: Exponents
pagenum: 23; title: Algebraic Expressions
pagenum: 24; title: Performing Operations with Polynomials
pagenum: 25; title: Special Products
pagenum: 26; title: Division of Polynomials
pagenum: 26; title: Simplifying Polynomials
pagenum: 27; title: Factoring Polynomials
pagenum: 27; title: Rational Expressions
pagenum: 28; title: Solving One-Variable Linear Equations
pagenum: 30; title: Solving One-Variable Linear Inequalities
pagenum: 31; title: Solving One-Variable Absolute Value Equations and Inequalities
pagenum: 31; title: Solving One-Variable Quadratic Equations
pagenum: 32; title: Solving a Quadratic Equation by Factoring
pagenum: 32; title: Solving a Quadratic Equation by Completing the Square
pagenum: 32; title: Solving a Quadratic Equation by Using the Quadratic Formula
pagenum: 33; title: Solving One-Variable Quadratic Inequalities
pagenum: 33; title: Systems of Equations and Inequalities
pagenum: 34; title: Solving a System of Two Linear Equations by Substitution
pagenum: 34; title: Solving a System of Two Linear Equations by Elimination (That Is, by Addition)
pagenum: 35; title: Solving a System of Two Linear Equations by Using the Trace Feature
pagenum: 35; title: Graphing Two-Variable Linear Inequalities
pagenum: 35; title: Geometric Interpretations of Algebraic Principles
pagenum: 35; title: Algebraic Representations of Lines, Planes, Conic Sections, and Spheres
pagenum: 36; title: Algebraic Representation of a Line
pagenum: 37; title: Algebraic Representation of Conic Sections
pagenum: 37; title: Formulas Used in Two- and Three-Dimensional Coordinate Systems
pagenum: 39; label: Chapter 3
title: Measurement
pagenum: 41; title: Unit Analysis
pagenum: 41; title: Precision, Accuracy, and Approximate Error
pagenum: 42; title: Informal Approximation Concepts
pagenum: 43; label: Chapter 4
title: Geometry
pagenum: 45; title: Relationships Involving Geometric Figures
pagenum: 45; title: General Geometric Relationships
pagenum: 45; title: Relationships of Parts of Triangles
pagenum: 47; title: Congruent and Similar Triangles
pagenum: 48; title: Relationships among Quadrilaterals
pagenum: 49; title: Problems Involving Properties of Plane Figures
pagenum: 50; title: Lines and Angles
pagenum: 50; title: Properties of Polygons
pagenum: 52; title: Properties of Triangles
pagenum: 53; title: The Pythagorean Theorem
pagenum: 54; title: Problems Involving Properties of Circles
pagenum: 55; title: Perimeter, Area, and Volume
pagenum: 58; title: Geometric Formulas
pagenum: 58; title: Perimeter and Circumference
pagenum: 59; title: Area
pagenum: 60; title: Surface Area
pagenum: 60; title: Volume; title: Geometric Transformations
pagenum: 61; label: Chapter 5
title: Trigonometry
pagenum: 63; title: The Six Basic Trigonometric Functions
pagenum: 63; title: Right Triangle Ratios
pagenum: 63; title: The Unit Circle and Trigonometric Functions
pagenum: 65; title: Graphs of the Trigonometric Functions
pagenum: 67; title: Transformations of the Trigonometric Functions
pagenum: 69; title: Law of Sines and Law of Cosines
pagenum: 70; title: Special Angle Formulas and Identities
pagenum: 72; title: Trigonometric Equations and Inequalities
pagenum: 73; title: Rectangular and Polar Coordinate Systems
pagenum: 75; title: Polar Coordinates
pagenum: 75; title: Converting Between Coordinate Systems
pagenum: 76; label: Chapter 6
title: Functions
pagenum: 79; title: Representation of Functions
pagenum: 79; title: Relations
pagenum: 79; title: Definition of a Function
pagenum: 80; title: Properties of Functions
pagenum: 81; title: Determining Domain and Range
pagenum: 81; title: Characteristics Associated with Graphs of Functions
pagenum: 82; title: Asymptotes
pagenum: 84; title: Intercepts and Zeros
pagenum: 86; title: Horizontal and Vertical Translations
pagenum: 87; title: Dilations
pagenum: 87; title: Reflections
pagenum: 89; title: Solving Problems Involving Functions
pagenum: 89; title: Linear Functions
pagenum: 89; title: Quadratic Functions
pagenum: 90; title: Polynomial Functions
pagenum: 91; title: Rational Functions
pagenum: 93; title: Square Root Functions
pagenum: 94; title: Power Functions
pagenum: 94; title: Absolute Value Functions
pagenum: 94; title: Greatest Integer Functions
pagenum: 95; title: Exponential Functions
pagenum: 95; title: Logarithmic Functions
pagenum: 96; title: Average Rate of Change and Difference Quotient
pagenum: 98; title: Composition and Inverses of Functions
pagenum: 98; title: Arithmetic of Functions and Composition
pagenum: 98; title: Inverses of Functions
pagenum: 99; title: Modeling with Functions
pagenum: 100; title: Functions of Two Variables
pagenum: 101; label: Chapter 7
title: Calculus
pagenum: 103; title: Limits
pagenum: 103; title: Definition of Limit
pagenum: 103; title: Limits of Continuous Functions
pagenum: 104; title: L'Hôpital's Rule
pagenum: 105; title: Properties of Limits
pagenum: 106; title: Derivatives
pagenum: 106; title: Definition of Derivative
pagenum: 106; title: Slope of Tangent Line and Instantaneous Rate of Change
pagenum: 107; title: Continuity
pagenum: 107; title: Definition of Continuous Function
pagenum: 107; title: Common Continuous Functions
pagenum: 108; title: Properties of Continuity
pagenum: 108; title: Analyzing the Behavior of a Function
pagenum: 109; title: Increasing and Decreasing Behavior
pagenum: 109; title: Extrema and the Extreme Value Theorem
pagenum: 110; title: First and Second Derivative Tests
pagenum: 111; title: Concavity
pagenum: 111; title: The Mean Value Theorem and the Fundamental Theorem of Calculus
pagenum: 112; title: The Mean Value Theorem
pagenum: 112; title: Fundamental Theorems of Calculus
pagenum: 112; title: Properties of the Definite Integral
pagenum: 113; title: Integration as a Limiting Sum
pagenum: 114; title: Approximation of Derivatives and Integrals
pagenum: 115; title: Differentiation and Integration Techniques
pagenum: 116; title: Differentiation Formulas
pagenum: 116; title: Integration Formulas
pagenum: 117; title: Limits of Sequences and Series
pagenum: 117; title: Properties of Limits of Sequences
pagenum: 118; title: Properties of Convergent Series
pagenum: 119; label: Chapter 8
title: Data Analysis and Statistics
pagenum: 121; title: Organizing Data
pagenum: 121; title: Measures of Central Tendency and Dispersion
pagenum: 126; title: Measures of Central Tendency
pagenum: 126; title: Measures of Dispersion
pagenum: 129; title: Other Descriptive Measures
pagenum: 130; title: Regression
pagenum: 131; title: Normal Distributions
pagenum: 132; title: Informal Inference
pagenum: 133; title: Types of Studies
pagenum: 134; title: Characteristics of Well-Designed Studies
pagenum: 134; label: Chapter 9
title: Probability
pagenum: 137; title: Sample Spaces and Probability Distributions
pagenum: 137; title: Sample Spaces and Probability
pagenum: 137; title: Geometric Probability
pagenum: 140; title: Probability Distributions
pagenum: 140; title: Conditional Probability and Independent and Dependent Events
pagenum: 141; title: Compound Events
pagenum: 141; title: Addition Rule and Mutually Exclusive Events
pagenum: 141; title: Conditional Probability
pagenum: 142; title: Multiplication Rule and Independent and Dependent Events
pagenum: 143; title: Odds
pagenum: 144; title: Expected Value
pagenum: 144; title: Empirical Probability
pagenum: 145; label: Chapter 10
title: Matrix Algebra
pagenum: 147; title: Vectors and Matrices
pagenum: 147; title: Operations with Matrices
pagenum: 148; title: Solving Systems of Linear Equations
pagenum: 151; title: Determinants
pagenum: 153; title: Representation of Geometric Transformations
pagenum: 154; label: Chapter 11
title: Discrete Mathematics
pagenum: 157; title: Counting Techniques
pagenum: 157; title: The Fundamental Counting Principle
pagenum: 157; title: The Addition Principle
pagenum: 158; title: Permutations
pagenum: 158; title: Combinations
pagenum: 159; title: Recursive Functions
pagenum: 160; title: Equivalence Relations
pagenum: 161; title: Arithmetic and Geometric Sequences and Series
pagenum: 162; title: Arithmetic and Geometric Sequences
pagenum: 162; title: Arithmetic and Geometric Series
pagenum: 163; title: Discrete and Continuous Representations
pagenum: 164; title: Modeling and Solving Problems
pagenum: 164; label: Part II
title: Full-Length Practice Tests; label: Chapter 12
title: Mathematics: Content Knowledge Practice Test 1
pagenum: 169; title: Answer Sheet for Practice Test 1
pagenum: 169; title: Answer Key for Practice Test 1
pagenum: 182; title: Answer Explanations for Practice Test 1
pagenum: 183; label: Chapter 13
title: Mathematics: Content Knowledge Practice Test 2
pagenum: 201; title: Answer Sheet for Practice Test 2
pagenum: 201; title: Answer Key for Practice Test 2
pagenum: 211; title: Answer Explanations for Practice Test 2
pagenum: 212; label: Chapter 14
title: Mathematics: Content Knowledge Practice Test 3
pagenum: 227; title: Answer Sheet for Practice Test 3
pagenum: 227; title: Answer Key for Practice Test 3
pagenum: 236; title: Answer Explanations for Practice Test 3
pagenum: 237; label: Appendix A
title: Long Division of Polynomials and Synthetic Division
pagenum: 253; label: Appendix B
title: Simplifying Radicals
pagenum: 255