Georgia GACE Math Assessment (022, 023) w/TestWare (REA)



GACE Mathematics Assessment (022, 023)

The Most Complete Subject Review

Everything you need to know for the GACE Mathematics Assessment (022, 023) exams, prepared by a leading specialist in teacher education. ...

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GACE Mathematics Assessment (022, 023)

The Most Complete Subject Review

Everything you need to know for the GACE Mathematics Assessment (022, 023) exams, prepared by a leading specialist in teacher education. Comprehensive review chapters cover all the subjects and skills tested on the exams. Examples in each chapter reinforce knowledge as you study.

The Best Practice Exams Available
2 practice exams (each contains both 022 and 023 subtests) based on the official GACE Mathematics Assessment – balanced to include every topic and type of question you can expect on the actual GACE Mathematics Assessment exams.

Total Explanations of Questions & Answers
Each practice exam comes with detailed feedback on every question. We don’t just say which answers are right – but explain why the others are wrong, so you’ll be prepared on test day!

Proven Test Prep Methods
REA’s focused GACE Mathematics content and practical advice have helped millions succeed on their exams. With our step-by-step plan, you can score high on the GACE and get certified to teach in Georgia!

Federal Guidelines for NCLB Compliance
You can expect that candidates with NCLB-compliant credentials will enjoy preferential status in hiring. In Georgia, this means you need to pass the GACE. Maximize your exam performance and master the GACE with the unrivaled certification expertise that only REA can offer.

Get the World’s Most Advanced GACE Software
REA’s GACE Mathematics Assessment TestWare combines a realistic test environment with the most powerful scoring analysis and diagnostic tools available. With every practice test you take, you’ll gain knowledge and confidence for the real exam. Automatic scoring and instant reports help you zero in on the topics and types of questions that give you trouble now, so you’ll succeed on the GACE!



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Product Details

  • ISBN-13: 9780738607030
  • Publisher: Research & Education Association
  • Publication date: 7/15/2010
  • Series: TEACH CERT
  • Edition description: First
  • Pages: 272
  • Product dimensions: 8.30 (w) x 10.80 (h) x 0.90 (d)

Meet the Author

About the Author

Dr. Greg Chamblee has taught mathematics on both the high school and university levels. He is currently a full professor at Georgia Southern University in the Department of Middle Grades and Secondary Education. He specializes in the area of middle grades and secondary mathematics education. His research emphasis is on the impact of technology on the teaching and learning process. Dr. Chamblee completed his doctorate at the University of North Carolina at Chapel Hill. 

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Read an Excerpt

About This Book and TestWare®   

REA’s GACE (022, 023) Mathematics Assessment Test is a comprehensive guide designed to assist you in preparing to take this GACE test. To help you to succeed in this important step toward your teaching career in Georgia schools, this test guide features:  

• An accurate and complete overview of the GACE (022, 023) Mathematics Assessment Test
• The information you need to know about the exam
• A targeted review of each subarea
• Tips and strategies for successfully completing standardized tests
• Diagnostic tools to identify areas of strength and weakness
• Two full-length, true-to-format practice tests based on the most recently administered GACE (022, 023) Mathematics Assessment Test
• Detailed explanations for each answer on the practice tests. These allow you to identify correct
answers and understand not only why they are correct but also why the other answer choices are incorrect.

When creating this test prep, the authors and editors considered the most recent test administrations and professional standards. They also researched information from the Georgia Professional Standards Commission, professional journals, textbooks, and educators. The result is the best GACE test preparation materials based on the latest information available.

About Test Selection
The GACE tests are offered during morning and afternoon test sessions. However, this test is only given in the afternoon. Test sessions are four hours in length.

About the GACE 022, 023 Mathematics Assessment Test
• The purpose of the GACE (022, 023) Mathematics Assessment Test is to assess the knowledge and skills of prospective Georgia mathematics teachers.

How Is the GACE 022, 023 Mathematics Assessment Test Scored? 
Your total test score will be a scaled score. A scaled score combines your correct answers to the scorable questions on the selected-response section of the test with the scores you received on the constructed-response questions. The scale runs from 100 to 300, with 220 being the passing score.

When Will I Receive My Score Report, and What Will It Look Like?
Reporting of Scores. Your scores are reported directly to the Georgia Standards Commission and are automatically added to your certification application file. Unofficial test scores are posted on the Internet at 5:00 p.m. Eastern Time on the score report dates listed on

Can I Retake the Test?
If you wish to retake a test, you may do so at a subsequent test administration. Please consult the GACE Website for information about test registration. The GACE website also includes information regarding test retakes and score reports.

Who administers the test?
The Georgia Professional Standards Commission (GaPSC) has contracted with the Evaluation Systems group of Pearson to assist in the development and administration of the Georgia Assessments for the Certification of Educators (GACE).

When and where is the test given? How long will it take?
The GACE is administered seven times a year at five locations across the state, as detailed on the GACE website. The 022, 023 Mathematics Assessment test is available during the morning sessions on all test days except during May and June. To receive information on upcoming test dates and locations, you may contact the test administrator at:

Georgia Assessments for the Certification of Educators
P.O. Box 226
Amherst, MA 01004-9013
Telephone: 413-256-2892 or (866) 565-4894
Fax: 413-256-7077

How to Use This Book and TestWare®

When Should I Start Studying?
It is never too early to start studying for the GACE 022, 023 Mathematics Assessment. The earlier you begin, the more time you will have to sharpen your skills. Do not procrastinate. Cramming is not an effective way to study because it does not allow you the time you need to think about the content, review the content required in the objectives, and take the practice tests.

What Do the Review Sections Cover?
The targeted review in this book is designed to help you sharpen the skills you need to approach the GACE 022, 023 Mathematics Assessment, as well as provide strategies for attacking the questions.
Each teaching area included in the GACE 022, 023 Mathematics Assessment is examined in a separate chapter. The skills required for all areas are extensively discussed to optimize your understanding of what the examination covers.

Your schooling has taught you most of the information you need to answer the questions on the test. The education classes you took should have provided you with the know-how to make important decisions about situations you will face as a teacher. The review sections in this book are designed to help you fit the information you have acquired into the objectives specified on the GACE. Going over your class notes and textbooks together with the reviews provided here will give you an excellent springboard for passing the examination.

Studying for the GACE 022, 023 Mathematics Assessment
Choose the time and place for studying that works best for you. Some people set aside a certain number of hours every morning to study, while others prefer to study at night before going to sleep. Other people study off and on during the day—for instance, while waiting for a bus or during a lunch break. Only you can determine when and where your study time will be most effective. Be consistent and use your time efficiently. Work out a study routine and stick to it.

When you take the practice tests, simulate the conditions of the actual test as closely as possible. Turn off your television and radio, and sit down at a table in a quiet room, free from distraction. On completing a practice test, score it and thoroughly review the explanations to the questions you answered incorrectly; however, do not review too much at any one time. Concentrate on one problem area at a time by reviewing the question and explanation, and by studying the review in this guide until you are confident that you have mastered the material.

Keep track of your scores so you can gauge your progress and discover general weaknesses in particular sections. Give extra attention to the reviews that cover your areas of difficulty, so you can build your skills in those areas. Many have found the use of study or note cards very helpful for this review.


Test-Taking Tips
Although you may not be familiar with tests like the GACE, this book will acquaint you with this type of exam and help alleviate your test-taking anxieties. By following the seven suggestions listed here, you can become more relaxed about taking the GACE, as well as other tests.

Tip 1. Become comfortable with the format of the GACE. When you are practicing, stay calm and pace yourself. After simulating the test only once, you will boost your chances of doing well, and you will be able to sit down for the actual GACE with much more confidence.

Tip 2. Read all the possible answers. Just because you think you have found the correct response, do not automatically assume that it is the best answer. Read through each choice to be sure that you are not making a mistake by jumping to conclusions.

Tip 3. Use the process of elimination. Go through each answer to a question and eliminate as many of the answer choices as possible. If you can eliminate two answer choices, you have given yourself a better chance of getting the item correct, because only two choices are left from which to make your guess. Do not leave an answer blank. It is better to guess than not to answer a question on the GACE test because there is no additional penalty for wrong answers.

Tip 4. Place a question mark in your answer booklet next to the answers you guessed, and then recheck them later if you have time.

Tip 5. Work quickly and steadily. You will have four hours to complete the test, so the amount of time you spend will depend upon whether you take both subtests in one test session. Taking the practice tests in this book or on the CD will help you learn to budget your precious time.

Tip 6. Learn the directions and format of the test. This will not only save time but also will help you avoid anxiety (and the mistakes caused by being anxious).

Tip 7. When taking the multiple-choice portion of the test, be sure that the answer oval you fill in corresponds to the number of the question in the test booklet. The multiple-choice test is graded by machine, and marking one wrong answer can throw off your answer key and your score. Be extremely careful. 

Before the Test 
On the morning of the test, be sure to dress comfortably so you are not distracted by being too hot or too cold while taking the test. Plan to arrive at the test center early. This will allow you to collect your thoughts and relax before the test and will also spare you the anguish that comes with being late. You should check your GACE Registration Bulletin to find out what time to arrive at the center.

What to Bring
Before you leave for the test center, make sure that you have your admission ticket. Your admission ticket lists your test selection, test site, test date, and reporting time. See the Test Selection 

You must also bring two pieces of personal identification. One must be a current, government-issued identification, in the name in which you registered, bearing your photograph and signature, and one additional piece of identification (with or without a photograph). If the name on your identification differs from the name in which you are registered, you must bring official verification of the change (e.g., marriage certificate, court order).

You must bring several sharpened No. 2 pencils with erasers, because none will be provided at the test center. If you like, you can wear a watch to the test center. However, you cannot wear one that makes noise, because it might disturb the other test takers. Dictionaries, textbooks, notebooks, calculators, cell phones, beepers, PDAs, scratch paper, listening and recording devices, briefcases, or packages are not permitted. Drinking, smoking, and eating during the test are prohibited.

You may not bring any visitors, including relatives, children, and friends.You may bring a water bottle into the testing room, as long as it is clear without a label but with a tight lid. During testing, you will have to store your bottle under your seat.

Security Measures 
As part of the identity verification process, your thumbprint will be taken at the test site. Thumbprints will be used only for the purpose of identity verification. If you do not provide a thumbprint, you will not be permitted to take the test and you will not receive a refund or a credit for the fee paid. 
Enhanced security measures, including additional security screenings, may be required by test site facilities. If an additional screening is conducted, only screened persons will be admitted to the test site. If you do not proceed through the security screening, you will not be allowed to test and you will not receive a refund or credit of any kind. 

Late Arrival Policy
If you are late for a test session, you may not be admitted. If you are permitted to enter, you will not be given any additional time for the test session. You will be required to sign a statement acknowledging this. If you arrive late and are not admitted, you will be considered absent and will not receive a refund or credit of any kind. You will need to register and pay again to test at a future administration.

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Table of Contents

About This Book and TestWare
About Test Selection
About the GACE 022, 023 Mathematics Assessment
Test Overview Chart
How to Use This Book and TestWare
Studying for the GACE 022, 023 Mathematics Assessment
Study Schedule
Test-Taking Tips
The Day of the Test

Real Number System and Its Components
Real Number Properties of Equality
Real Number Operations and Their Properties
Absolute Value
Number Theory
Real Number and Integer Exponents
Rational Exponents and Roots
Complex Numbers
Chapter 2 Quiz

Algebraic Terms
Addition of Polynomials
Subtraction of Polynomials
Multiplication of a Polynomial by a Monomial
Multiplication of Two Binomials
Multiplication of Two Polynomials
Division of a Monomial by a Monomial
Division of a Polynomial by a Polynomial
Binomial Theorem
Direct and Inverse Variation
Relations and Functions
Linear Equations
Determining the Equation of a Line Given a Table
Determining the Equation of a Line Given a Graph
Quadratic Functions
Function Transformations
Quadratic Equations
Systems of Linear Equations
Linear Programming
Chapter 3 Quiz
Even and Odd Functions
Symmetry of Functions
Polynomial Functions
Function Movements
Absolute Value Functions
Greatest Integer Function
Exponential and Logarithmic Functions and Equations
Polar Graphs and Equations
Special Polar Equations
Parametric Graphs and Equations
Chapter 4 Quiz

Metric and Customary System
Mathematical Arguments
Geometry Basics
Three-Dimensional Shapes
Conic Sections
Function Transformations on the Coordinate Plane
Distance Formula
Midpoint Formula
Three-Dimensional Space
Chapter 5 Quiz
Measures of Central Tendency
Representing Data Graphically
Counting Techniques
Expected Value
Normal Distributions
Statistical Hypothesis Testing
Chapter 6 Quiz

Problem Solving Strategies
Connecting Areas of Mathematics
Set Theory
Translating Mathematical Language
Choosing an Appropriate Model
Analyzing Faulty Mathematical Reasoning
Chapter 7 Quiz
PRACTICE TEST 1 (Code 022)
Answer Key
Objectives Checklist
Detailed Solutions for Code 022 Test


PRACTICE TEST 1 (Code 023)
Answer Key
Objectives Checklist
Detailed Solutions for Code 023 Test
PRACTICE TEST 2 (Code 022)
Answer Key
Objectives Checklist
Detailed Solutions for Code 022 Test

PRACTICE TEST 2 (Code 023)
Answer Key
Objectives Checklist
Detailed Solutions for Code 023 Test

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  • Posted November 20, 2010

    Highly recommended!

    The format of this study guide was very easy to understand. I teach middle school mathematics. I passed the high school certification tests 022 and 023 on the first try with the help of this book! The software was not that useful. It could not give you an accurate score because of the constructed response questions you will have to answer on the real test. The content reviews were wonderful. This book is a great choice.

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