CliffsTestPrep? Praxis II?: Mathematics Content Knowledge Test (0061)

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Format: eBook
Pub. Date: 2006-10-01
Publisher(s): Cliffs Notes
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Summary

Your guide to a higher score on the Praxis IIr: 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 CliffsNotesr

Table of Contents

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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