Your guide to a higher score on the Praxis II?: Mathematics Content Knowledge Test (0061) Why CliffsTestPrep Guides? Go with the name you know and trust Get the information you need--fast! Written by test-prep specialists About the contents: Introduction * Overview of the exam * How to use this book * Proven study strategies and test-taking tips Part I: Subject Review * Focused review of all exam topics: arithmetic and basic algebra, geometry, trigonometry, analytic geometry, functions and their graphs, calculus, probability and statistics, discrete mathematics, linear algebra, computer science, and mathematical reasoning and modeling * Reviews cover basic terminology and principles, relevant laws, formulas, theorems, algorithms, and more Part II: 3 Full-Length Practice Examinations * Like the actual exam, each practice exam includes 50 multiple-choice questions * Complete with answers and explanations for all questions Test Prep-Essentials from the Experts at CliffsNotes?
Author(s): E. Donice McCune, Sandra Luna McCune
Series: CliffsTestPrep 61
Publisher: Cliffs Notes
Year: 2006
Language: English
Pages: 170
CliffsTestPrep: Praxis II: Mathematics Content Knowledge Test ( 0061)......Page 3
Table of Contents......Page 5
Format of the Test......Page 9
The Role of the Mathematics CK in Teacher Certification......Page 11
Questions Commonly Asked About the Mathematics CK......Page 12
How to Use This CliffsTestPrep Book......Page 13
How to Prepare for the Day of the Test......Page 14
Test-Taking Strategies for the Mathematics CK......Page 15
Graphing Calculators and the Mathematics CK......Page 16
Part I: SUBJECT AREA REVIEWS......Page 17
Notation, Definitions, and Formulas......Page 19
The Real and Complex Number Systems......Page 22
Properties of Number Systems......Page 24
Ratio, Proportion, Percent, and Average......Page 26
Algebraic Expressions, Formulas, and Equations......Page 27
Systems of Equations and Inequalities......Page 31
Algebraic Representations of Lines, Planes, Conic Sections, and Spheres......Page 33
Formulas Used in Two-and Three-Dimensional Coordinate Systems......Page 34
Unit Analysis......Page 36
Informal Approximation Concepts......Page 37
Relationships Involving Geometric Figures......Page 38
Problems Involving Properties of Plane Figures......Page 39
Problems Involving Properties of Circles......Page 41
Perimeter, Area, and Volume......Page 42
Geometric Transformations......Page 44
The Six Basic Trigonometric Functions......Page 45
The Law of Sines and the Law of Cosines......Page 48
Special Angle Formulas and Identities......Page 49
Rectangular and Polar Coordinate Systems......Page 50
Modeling with Functions......Page 52
Properties of a Function......Page 53
Problems Involving Functions......Page 54
Composition and Inverses of Functions......Page 57
Functions of Two Variables......Page 58
Limits......Page 59
Continuity......Page 61
Analyzing the Behavior of a Function......Page 62
Integration as a Limiting Sum......Page 63
Approximation of Derivatives and Integrals......Page 64
Differentiation and Integration Techniques......Page 65
Limits of Sequences and Series......Page 66
Organizing Data......Page 68
Measures of Central Tendency and Dispersions......Page 69
Regression......Page 72
Informal Inference......Page 73
Characteristics of Well-Designed Studies......Page 74
Sample Spaces and Probability Distributions......Page 76
Conditional Probability and Independent and Dependent Events......Page 77
Expected Value......Page 78
Empirical Probability......Page 79
Vectors and Matrices......Page 80
Operations with Matrices......Page 81
Solving Systems of Linear Equations......Page 82
Determinants......Page 83
Representation of Geometric Transformations......Page 84
Counting Techniques......Page 86
Equivalence Relations......Page 87
Discrete and Continuous Representations......Page 88
Modeling and Solving Problems......Page 89
Part II: 3 FULL-LENGTH PRACTICE TESTS......Page 91
Answer Grid for Practice Test 1......Page 93
Mathematics: Content Knowledge Practice Test 1......Page 95
Mathematics: Content Knowledge Practice Test 1 Answer Key......Page 106
Answer Explanations for Practice Test 1......Page 107
Answer Grid for Practice Test 2......Page 123
Mathematics: Content Knowledge Practice Test 2......Page 125
Mathematics: Content Knowledge Practice Test 2 Answer Key......Page 132
Answer Explanations for Practice Test 2......Page 133
Answer Grid for Practice Test 3......Page 147
Mathematics: Content Knowledge Practice Test 3......Page 149
Mathematics: Content Knowledge Practice Test 3 Answer Key......Page 156
Answer Explanations for Practice Test 3......Page 157
Simplifying Radicals......Page 170