PRAXIS Middle School Mathematics (5169) Book + Online

by Stephen Reiss, Sandra Rush M.A. (Editor)

Overview

REA's PRAXIS Middle School Mathematics Test Prep with Online Practice Gets You Certified and in the Classroom!

America's future teachers all must take appropriate tests to be licensed. REA gets you ready for your teaching career with our outstanding library of teacher certification test guides.

REA's PRAXIS Middle School Mathematics (5169) test prep is designed to help you master the information on this important exam, bringing you one step closer to being certified to teach middle school math. It's perfect for college students, out-of-state teachers, and career-changing professionals who are looking to teach middle school math in states, territories, and authorities (including the DODEA) where Praxis exams are used.

This study package contains in-depth reviews of all the content categories and topics tested on the PRAXIS Middle School Mathematics exam. A pretest and posttest are offered online to help you pinpoint strengths and weaknesses as you study the review chapters.

The book includes two full-length practice tests based on actual PRAXIS questions and features every type of question, subject area, and skill tested on the exam. Two additional practice tests are offered online at the REA Study Center and come with automatic scoring, timed testing conditions, and diagnostic feedback to help you zero in on the topics and types of questions that give you trouble now, so you can succeed on test day.

This test prep is a must-have for anyone prepping for the PRAXIS Middle School Math exam!

Product Details

ISBN-13:	9780738612782
Publisher:	Research & Education Association
Publication date:	11/03/2021
Series:	PRAXIS Teacher Certification Test Prep
Edition description:	Third Edition, Revised
Pages:	312
Product dimensions:	8.30(w) x 10.60(h) x 1.00(d)
Age Range:	18 Years

About the Author

Stephen Reiss is the founder and owner of The Math Magician, a leading San Diego-based provider of supplementary mathematics instruction. His company specializes in seminar and private instruction, preparing students for a wide range of standardized tests. He earned his B.A. from Clark University and his M.B.A. from Arizona State University. Mr. Reiss has written many mathematics test preparation publications.

About Our Editor
Sandra Rush earned a Bachelor of Arts degree in mathematics from Temple University in Philadelphia. While an undergraduate student, she served as a math tutor for members of the basketball team as well as for local public school students. Ms. Rush’s interest in education has extended beyond the classroom to the field of publishing, including writing and editing manuals on preparation for standardized tests at all levels.

Read an Excerpt

Passing the Praxis II Middle School Mathematics (5169) Exam

Let’s assume for the moment that you are confident you really know your math (which will be the case when you finish this book). That’s great, but you also need to know what’s in this first chapter in order to pass the Praxis II Middle School Mathematics (5169) test. After all, if you don’t know how to communicate your math competency because you’re confused by the question format, unfamiliar with the online calculator, or you’ve made an innocent mistake that disqualifies you from taking the exam, how will you land a great teaching job?

Don’t skip this chapter just because you want to get right to the math examples and test yourself with the exercises and practice tests presented in this book. Read this chapter through now, and then read it again after you finish studying the review chapters. The key to scoring well on the Praxis II Middle School Mathematics test is threefold:

1. Know the math (this goes without saying, but we said it anyhow).

2. Familiarize yourself with what you will face on the exam—no surprises to ambush you.

3. Be relaxed and at your best on exam day (e.g., wear comfortable clothes).

About the Praxis II Middle School Mathematics Test
Educational Testing Service (ETS) administers the Praxis II tests. They are designed to evaluate the preparedness of an individual to teach subject-specific courses and are part of teaching certification and licensure in many U.S. states and territories.

The purpose of the Praxis II Middle School Math test (5169) is to assess the mathematical knowledge and competency for certification as a middle school math teacher. The people who take this exam come from a variety of backgrounds, but most are college seniors or recent graduates of a four-year college. Another contingent of people seeking certification include those who have had other occupations and are hoping to change careers, or teachers who are moving to a state that requires the Praxis for certification from a state that does not. The Praxis scores are transferable between states that both require the Praxis for certification.

The Middle School Mathematics test consists of 55 selected-response and numeric-entry questions. You have two hours to complete the test. Content categories include:

* Arithmetic and Algebra (approximately 34 questions)

– Numbers and Operations

– Algebra

– Functions and Their Graphs

* Geometry and Data (approximately 21 questions)

– Geometry and Measurement

– Probability, Statistics, and Discrete Mathematics

For a more detailed list of subtopics covered on the exam, see the Praxis Middle School Math 5169 Study Companion, available for download from www.ets.org/praxis.

How This Book and Online Prep Will Help You
“Praxis tests are demanding enough to require serious review of likely content.” —Educational Testing Service

A demanding test . . . scary, yes? So, even if you think you know the math, this book will help you prepare for your test. Our review offers complete coverage of the material you will find on the Praxis Middle School Mathematics exam, along with plenty of practice exercises. After you’ve finished studying and practicing with our test prep, you’ll be more than ready to tackle and pass this challenging test.

REA’s comprehensive test prep gives you:

— An online diagnostic test to pinpoint your strengths and weaknesses. Your instant score report will show you where to focus your study.

— Five chapters of review material explaining all the math concepts tested on the exam.

— Plenty of practice exercises with step-by-step detailed explanations that show you why the incorrect answers are wrong. Working through the exercises and studying the detailed explanations is part of your learning—don’t skip them!

— An online posttest. You’ve done your studying, now let’s see what you’ve learned. Taking this posttest with instant scoring and topic-level feedback will let you know if you need more practice and review.

— Four full-length practice tests (two online and two in the book). Practice makes perfect, so practice as much as possible before taking the actual test.

Test Yourself at the Online REA Study Center
The REA Study Center (www.rea.com/studycenter) is where you’ll find the online material that accompanies this book—the diagnostic test, the posttest, and two full-length practice tests.

The Praxis Middle School Math is a computer-based exam. Practicing online at the REA Study Center will simulate test-day conditions and help you become comfortable with the exam format. The online content at the REA Study Center comes with these added benefits:

* Automatic Scoring—Find out how you did on your test, instantly.

* Diagnostic Score Reports—Get a specific score tied to each competency, so you can focus on the areas that challenge you the most.

* Detailed Answer Explanations—See why the correct response option is right, and learn why the other answer choices are incorrect.

* Timed Testing—Learn to manage your time as you practice, so you’ll feel confident on test day.

As you read this book, you’ll see icons telling you when to access the online material. Take your time as you work through the online practice—it’s all been designed to help you thoroughly prepare for your Praxis exam. (You’ll be taking the online Diagnostic Test when you finish this chapter, but keep reading.)

Preparing for Your Test
ETS states, “Research shows that test-takers tend to overestimate their preparedness.” Don’t get lulled into complacency. It is never too early to start studying for the test. Set a realistic time to review the material that will likely be on the test so you aren’t cramming. Cramming equates to forgetting—try to remember rather than memorize the material covered in this book.

Work out a study routine and stick to it. Reviewing class notes and textbooks, along with this book, will provide you with a strong foundation for passing this exam.

Scoring the Test
The one advantage of a computer-based test is that you can get an idea of how well you did at the end of the test. This is only partially true. You will be given your raw score (the sum of correct answers), and you can get a general idea from that how much you can celebrate. Your official score (ranging from 100 to 200) may not be immediately available.

The official score, along with a pass/not pass designation, will come later because the raw score on each test is actually weighted according to its difficulty, which makes sense. The tests are not identical. Each edition of a test has its own table to convert from a raw score to the official score so there is a standard across all forms of the test. Your official score, if it is not available at the end of the test, will be available approximately two to three weeks after the test date.

You can access your official score via the web using your Praxis account number free of charge for one year following the test date. Scores are no longer mailed. Passing scores vary by state. Visit the ETS website to see what your state requirement is. All states, however, require a minimum of 165 points for passing.

If you score in the top 15% of test-takers, you will be given a Recognition of Excellence (ROE), a prestigious award for outstanding individual performance on the Praxis test. Candidates who earn the ROE receive a formal recognition certificate and congratulatory letter from ETS. The honor is also indicated on score reports that are sent to you and your designated institutions.

Contacting ETS
If you need more information about the Praxis Middle School Mathematics (5169) test or if you’re ready to register and schedule your test, visit the Educational Testing Service (ETS) website at www.ets.org/praxis.

Good luck on the Praxis II Middle School Mathematics (5169) test!

Table of Contents

Contents
About Our Author
About Our Editor
About Research & Education Association

Chapter 1 Passing the Middle School Mathematics Exam
About the Praxis II Middle School Mathematics Test
How This Book and Online Prep Will Help You
Preparing for Your Test
Study Schedule
What to Expect at the Testing Site
Your Computer Testing Station
Types of Questions and Strategies
Test-Taking Strategies
Your Best Friend: Scratch Paper
The Online Calculator
Calculator Tips
Scoring the Test
Contacting ETS
Diagnostic Test

Chapter 2 Numbers and Operations
The Real Number System
Order of Operations
Properties of the Real Number System
Exponents
Properties of Exponents
Negative Exponents
Scientific Notation
Fractions, Decimals, and Percentages
Fractions
Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Decimals
Comparing Fractions and Decimals
Percentages
Absolute Value
Ratios and Proportions
Applications of Ratios
Applications of Proportions
Scale Factor
Percentages as Proportions
Number Theory
Divisibility
Prime Numbers
Prime Factorization
Greatest Common Factor
Least Common Multiple
Operations Involving Radicals
Approximating and Simplifying Square Roots
Adding and Subtracting Square Roots
Multiplying and Dividing Square Roots
Rationalizing the Denominator
Estimation
Using Rounding for Estimation

Chapter 3 Algebra
Algebraic Terms and Expressions
Order of Operations
Expressions with Like Terms
Equations
Multistep Equations
Equations with Decimals
Equations with Fractions
Multivariable Equations
Equations with Exponents and Square Roots
Direct and Inverse Variation
Using Equations to Model Real-World Contexts
Graphing Linear Equations
Linear Equations
Linear Inequalities
Graphs of Absolute Value Equations
Equations with Two Variables
The Coordinate Plane
Slopes of Lines
The Slope-Intercept Form of a Line
Deriving the Equation of a Line
The Point-Slope Form of a Line
Systems of Equations
Graphing Systems of Linear Equations
Graphing Systems of Linear Inequalities
Solving Systems of Equations Algebraically
Quadratics
Quadratic Expressions and Equations
Factoring Quadratic Expressions
Quadratic Equations
The Quadratic Formula
Patterns

Chapter 4 Functions and Their Graphs
Relations
Functions
Functional Notation
Domains of Functions
Linear Functions
Applications of Linear Functions
Intercepts of a Linear Function
Quadratic Functions
Graphing Quadratic Functions
Domain and Range of Quadratic Functions
Other Functions
Absolute Value Functions
Exponential Functions
Modeling Functions Based on Data

Chapter 5 Geometry and Measurement
Points, Lines, and Planes
Points
Lines
The Distance Formula
The Midpoint Formula
Planes
Angles
Types of Angles
Special Angle Pairs
Perpendicular and Parallel Lines
Angles Formed by Parallel Lines and a Transversal
Polygons
Triangles
Angle-Side Relationship
Exterior Angles
Right Triangles
Quadrilaterals
Congruence and Similarity
Congruent Figures
Similar Figures
Perimeter and Area of Polygons
Circles
Circumference of a Circle and an Arc
Area of a Circle and a Sector
Three-Dimensional Figures
Surface Area
Volume
Transformation, Nets, and Constructions
Transformations
Nets
Constructions
Units of Measure
The U.S. System
The Metric System

Chapter 6 Probability, Statistics, and Discrete Mathematics
Interpreting Data Displays
Tables
Bar Graphs and Histograms
Stem-and-Leaf Plots
Pie Charts
Line Graphs
The Counting Principle
Probability
Independent Events
Dependent Events
Geometric Probability
Measures of Central Tendency
The Mean
The Median
The Mode
The Range
Using the Best Measures of Central Tendency
Boxplots
Discrete Mathematics
Venn Diagrams
Algorithms
Flow Charts
Posttest

PRACTICE TESTS

Online
Practice Test 1
Practice Test 2

In Book
Practice Test 3
Answer Key
Detailed Explanations

Practice Test 4
Answer Key
Detailed Explanations