An edition of Praxis II Mathematics Content Knowledge Test (0061) (2012)

Praxis II Mathematics Content Knowledge Test (0061)

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Cover of: Praxis II Mathematics Content Knowledge Test (0061) by Ennis Donice McCune, Sandra Luna McCune
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An edition of Praxis II Mathematics Content Knowledge Test (0061) (2012)

Praxis II Mathematics Content Knowledge Test (0061)

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Proven test-taking strategies, focused reviews of all test topics, 3 model practice tests, from the experts at CliffsNotes. - Cover.

Publish Date
Publisher
Houghton Mifflin Harcourt
Language
English

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Previews available in: English

Subjects

Mathematics, examinations, questions, etc., Elementary school teachers, Mathematics, Examinations, questions
Edition Availability
Cover of: Praxis II Mathematics Content Knowledge Test (0061)
Praxis II Mathematics Content Knowledge Test (0061)
2012, Houghton Mifflin Harcourt
Paperback in English
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Book Details

Table of Contents

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

Edition Notes

Published in
Boston, New York

Classifications

Library of Congress
LB1762, QA43 .M373 2012

The Physical Object

Format
Paperback
Pagination
vii, 255 p.
Dimensions
28 x x centimeters

ID Numbers

Open Library
OL26466601M
Internet Archive
praxisiimathemat0000mccu
ISBN 10
1118085558
ISBN 13
9781118085554
LCCN
2011945012

Source records

Better World Books record
Library of Congress MARC record
Internet Archive item record
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October 17, 2020 Edited by MARC Bot import existing book
August 2, 2020 Edited by ImportBot import existing book
July 3, 2018 Edited by Bryan Tyson Added new cover
July 3, 2018 Edited by Bryan Tyson Edited without comment.
July 3, 2018 Created by Bryan Tyson Added new book.