Georgia CRCT (REA) - the Best Test Prep for 8th Grade Math
by Staff of Research Education AssociationFormat: Paperback
Pub. Date: 2005-03-31
Publisher(s): Research & Education Assn
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Summary
Score high and succeed on the Georgia CRCT Grade 8 mathematics exam! REA gets students ready for exam day! Our all-new test prep for the CRCT provides all the instruction and practice students need to pass and excel on this important state-required math exam. The book's comprehensive math review features numerous examples, diagrams, and charts that illustrate and reinforce key math lessons. Use the book's diagnostic tests to pinpoint the areas where your students need to invest more time and practice. REA's test prep also features one full-length practice CRCT exam so you can familiarize yourself with the content and format of the actual CRCT exam. Each practice exam question is fully explained to help reinforce important math concepts. You can prepare even more for exam day by following REA's proven test-taking techniques, powerhouse drills and targeted homework assignments. DETAILS - The best math CRCT test prep available for Georgia students in the 8th grade - Features a comprehensive review of every mathematics topic to appear on the CRCT exam - All math problems in the review are clearly explained - many problems feature color charts, diagrams and illustrations - Includes a full-length practice CRCT exam complete with answer key and detailed explanations for each test question - Dynamic diagnostic tests pinpoint a student's math strengths and weaknesses - Packed with proven test tips, sound strategies and powerhouse drills to help students score high - Contains student-friendly classroom and homework assignments that target and reinforce key math concepts - Fully aligned with the core curriculum standards of the Georgia Department of Education
Table of Contents
| Table of Contents | |
| About Our Editors | |
| About Research & Education Association | |
| Passing the Crct in Mathematics | |
| About this Book | |
| About the Test | |
| How to Use this Book | |
| About the Review Sections Test-Taking Tips | |
| The Day of the Test | |
| Arithmetic Review | |
| Integers and Real Numbers Absolute Value Positive and Negative Numbers Order of Operations Drill | |
| Integers and Real Numbers Fractions Operations With Fractions Drill | |
| Fractions Decimals Operations With Decimals Drill | |
| Decimals Ratio and Proportion Ratio Proportion Percentages Equivalent Forms of a Number Drill | |
| Percentages Radicals Operations With Radicals Drill | |
| Radicals Exponents General Laws of Exponents Power to a Power Drill | |
| Exponents Scientific Notation Averages Mean Median Mode Drill | |
| Averages Estimation Significant Digits Money Notation Counting and Sorting Game Strategies Networks Algorithms Flow Charts Arithmetic Drills Answer Key ALGEBRA REVIEW Operations With Polynomials Drill | |
| Operations With Polynomials Simplifying Algebraic Expressions Commutative Laws (Addition, Multiplication) Associative Laws (Addition, Multiplication) Distributive Law Drill | |
| Simplifying Algebraic Expressions Equations Linear Equations Drill | |
| Linear Equations Two Linear Equations Drill | |
| Two Linear Equations Quadratic Equations Drill | |
| Quadratic Equations Absolute Value Equations Drill | |
| Absolute Value Equations Inequalities Properties of Inequalities Drill | |
| Inequalities Ratios and Proportions Drill | |
| Ratios and Proportions Permutation, Combination, and Probability Trees Iteration Recursion Growth Algebra Drills | |
| Answer Key | |
| Geometry Review | |
| Points, Lines, and Angles Intersection Lines and Angles Types of Angles Perpendicular Lines Parallel Lines Drill | |
| Lines and Angles Polygons (Convex) Drill | |
| Regular Polygons Triangles Drill | |
| Triangles Change in Linear Direction The Pythagorean Theorem Quadrilaterals Parallelograms Rectangles Rhombi Squares Trapezoids Drill | |
| Quadrilaterals Circles Drill | |
| Circles Solids Rectangular Solids Drill | |
| Solids Perimeters, Areas, Volumes Coordinate Geometry, Plotting, and Graphing Drill | |
| Coordinate Geometry Fractals Geometry Drills Answer Key WORD | |
| Review Problems | |
| Algebraic Drill | |
| Algebraic Rate Drill | |
| Rate Work Drill | |
| Work Mixture Drill | |
| Mixture Interest Drill | |
| Interest Discount Drill | |
| Discount Profit Drill | |
| Profit Sets Drill | |
| Sets Geometry Drill | |
| Geometry Measurement Drill | |
| Measurement Data Interpretation Drill | |
| Data Interpretation Scaled Drawings Problems with Missing or Misleading Information Making Inferences Word Problem Drills | |
| Answer Key | |
| Quantitative Ability | |
| Quantitative Comparison Discrete Quantitative | |
| Spatial Sense Relationships Drill | |
| Spatial Sense/Relationships Spatial Sense/Relationships Drill | |
| Answer Key | |
| Statistics | |
| What is Statistics? Variables Functions Data Description | |
| Graphs Frequency Distributions | |
| Frequency Histograms and Relative Frequency Histograms | |
| Cumulative Frequency Distributions Types of Frequency Curves Deductive and Inductive Reasoning Sampling | |
| Statistical Plots and Graphs Diagnostic Tests For Class and Homework | |
| Assignments Arithmetic Diagnostic Test Algebra Diagnostic | |
| Test Geometry Diagnostic | |
| Test Word Problems Diagnostic | |
| Test Reference Information CRCT Mathematics Practice Test | |
| Answer Key | |
| Detailed Explanations of Answers | |
| Answer Sheet | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
Excerpts
PASSING THE GEORGIA CRITERION-REFERENCED COMPETENCY TESTS (CRCT) - MATHEMATICS
ABOUT THIS BOOK
Our book provides excellent preparation for the Georgia Criterion-Referenced Competency Tests (CRCT) in Mathematics. Inside you will find reviews that are designed to provide you with the information and strategies needed to do well on this exam. We also provide a full-length practice test, so you can get a good idea of what you'll be facing on test day. Detailed explanations follow the practice test, so if you are having a problem with a particular question, we'll tell you how to solve it.
Our Teacher's Answer Guide contains full explanations to the "Class and Homework Assignment" questions in the diagnostic tests at the back of this book. Teachers may obtain the answer guide by contacting REA.
ABOUT THE TEST
Since 2000, the Georgia Department of Education has administered an eighth grade assessment to determine how well a student is advancing and whether the student is on course to perform well in high school. It is one of the key tools used to identify students who need additional instruction to master the knowledge and skills detailed in the Quality Core Curriculum, which embraces the standards that guide education in Georgia.
Students are given 60 minutes to complete the CRCT's math section. The test is composed of 60 multiple-choice questions. The questions are designed to test student mastery of the six content domains:
1. Number Sense and Numeration
2. Geometry and Measurement
3. Patterns and Relationships/Algebra
4. Statistics and Probability
5. Computation and Estimation
6. Problem Solving
HOW TO USE THIS BOOK
What do I study first?
Read over the reviews and the suggestions for test-taking. Studying the reviews thoroughly will reinforce the basic skills you will need to do well on the test. Our practice drills and classroom and homework assignments feature five answer choices, whereas the actual exam has only four choices. This four-choice format is accurately reflected in our practice test, which you'll find in the back of this book.
To best utilize your study time, follow the "Independent Study Schedule" located in the front of this book. Brushing up on the areas you did well on wouldn't hurt either.
When should I start studying?
It is never too early to start studying for the exam. 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, since it does not allow you the time needed to learn the test material. The sooner you learn the format of the exam, the more time you will have to familiarize yourself with the exam content.
ABOUT THE REVIEW SECTIONS
The reviews in this book are designed to help you sharpen the basic skills needed to approach the exam, as well as to provide strategies for attacking each type of question. You will also find exercises to reinforce what you have learned. By using the reviews in conjunction with the drills and practice test, you will put yourself in a position to master the exam.
TEST-TAKING TIPS
Although you may not be familiar with standardized tests, there are many ways to acquaint yourself with this type of examination and help alleviate your test-taking anxieties. Listed below are ways to help you.
Become comfortable with the format.When you are practicing, simulate the conditions under which you will be taking the actual test. Stay calm and pace yourself. After simulating the test only a couple of times, you will boost your chances of doing well, and you will be able to sit down for the actual exam with much more confidence.
Read all of 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.
Use the process of elimination.Go through each answer to a question and eliminate as many of the answer choices as possible. By eliminating two answer choices, you can vastly improve your chances of getting the item correct. It is recommended that you attempt to answer each question, since your score is calculated based on how many questions you get right, and unanswered or incorrectly answered questions receive no credit.
Work quickly and steadily.Work quickly and steadily to avoid focusing on any one problem for too long. Taking the practice test in this book will help you learn to budget your precious time.
Learn the directions and format for the test.Familiarizing yourself with the directions and format of the test will not only save time, but will also help you avoid anxiety (and the mistakes caused by getting anxious).
Work on the easier questions first.If you find yourself working too long on one question, make a mark next to it on your test booklet and continue. After you have answered all of the questions that you can, go back to the ones you have skipped.
Be sure that the answer you are marking corresponds to the number of the question in the test booklet.Marking one answer out of sequence can throw off your answer key and thus your score. Be extremely careful.
Eliminate obvious wrong answers.Sometimes a question will have one or two answer choices that are a little odd. These answers will be obviously wrong for one of several reasons: they may be impossible given the conditions of the problem, they may violate mathematical rules or principles, or they may be illogical. Being able to spot obvious wrong answers before you finish a problem gives you an advantage because you will be able to make a more educated guess from the remaining choices even if you are unable to fully solve the problem.
Work from answer choices.One of the ways you can use a multiple-choice format to your advantage is to work backwards from the answer choices to solve a problem. This is not a strategy you can use all of the time, but it can be helpful if you can just plug the choices into a given statement or equation. The answer choices can often narrow the scope of responses. You may be able to make an educated guess based on eliminating choices that you know do not fit into the problem.
THE DAY OF THE TEST
Before the Test
On the day of the test, you should wake up early (it is hoped after a decent night's rest) and have a good breakfast. Make sure to dress comfortably, so that you are not distracted by being too hot or too cold while taking the test. Also plan to arrive at school 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.
During the Test
Follow all of the rules and instructions given by your teacher or test supervisor.
When all of the test materials have been passed out, you will receive directions for filling out your answer folder. You must fill out this sheet carefully since this information will be printed on your score report. Fill out your name exactly as it appears on your identification documents, unless otherwise instructed.
You can write in your test booklet or on the scratch paper, which will be provided. However, you must be sure to mark your answers in the appropriate spaces in the answer folder. Each numbered row will contain four ovals corresponding to each answer choice for that question. Fill in the oval that corresponds to your answer darkly, completely, and neatly. You can change your answer, but be sure to completely erase your old answer. Only one answer should be marked. This is very important, as your answer sheet may be machine-scored and stray lines or unnecessary marks may cause the machine to score your answers incorrectly.
After the Test
Once your test materials have been collected, you will be dismissed. Then, go home and relax - you deserve it! Your score report will arrive in the time indicated to you.
ABOUT THIS BOOK
Our book provides excellent preparation for the Georgia Criterion-Referenced Competency Tests (CRCT) in Mathematics. Inside you will find reviews that are designed to provide you with the information and strategies needed to do well on this exam. We also provide a full-length practice test, so you can get a good idea of what you'll be facing on test day. Detailed explanations follow the practice test, so if you are having a problem with a particular question, we'll tell you how to solve it.
Our Teacher's Answer Guide contains full explanations to the "Class and Homework Assignment" questions in the diagnostic tests at the back of this book. Teachers may obtain the answer guide by contacting REA.
ABOUT THE TEST
Since 2000, the Georgia Department of Education has administered an eighth grade assessment to determine how well a student is advancing and whether the student is on course to perform well in high school. It is one of the key tools used to identify students who need additional instruction to master the knowledge and skills detailed in the Quality Core Curriculum, which embraces the standards that guide education in Georgia.
Students are given 60 minutes to complete the CRCT's math section. The test is composed of 60 multiple-choice questions. The questions are designed to test student mastery of the six content domains:
1. Number Sense and Numeration
2. Geometry and Measurement
3. Patterns and Relationships/Algebra
4. Statistics and Probability
5. Computation and Estimation
6. Problem Solving
HOW TO USE THIS BOOK
What do I study first?
Read over the reviews and the suggestions for test-taking. Studying the reviews thoroughly will reinforce the basic skills you will need to do well on the test. Our practice drills and classroom and homework assignments feature five answer choices, whereas the actual exam has only four choices. This four-choice format is accurately reflected in our practice test, which you'll find in the back of this book.
To best utilize your study time, follow the "Independent Study Schedule" located in the front of this book. Brushing up on the areas you did well on wouldn't hurt either.
When should I start studying?
It is never too early to start studying for the exam. 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, since it does not allow you the time needed to learn the test material. The sooner you learn the format of the exam, the more time you will have to familiarize yourself with the exam content.
ABOUT THE REVIEW SECTIONS
The reviews in this book are designed to help you sharpen the basic skills needed to approach the exam, as well as to provide strategies for attacking each type of question. You will also find exercises to reinforce what you have learned. By using the reviews in conjunction with the drills and practice test, you will put yourself in a position to master the exam.
TEST-TAKING TIPS
Although you may not be familiar with standardized tests, there are many ways to acquaint yourself with this type of examination and help alleviate your test-taking anxieties. Listed below are ways to help you.
Become comfortable with the format.When you are practicing, simulate the conditions under which you will be taking the actual test. Stay calm and pace yourself. After simulating the test only a couple of times, you will boost your chances of doing well, and you will be able to sit down for the actual exam with much more confidence.
Read all of 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.
Use the process of elimination.Go through each answer to a question and eliminate as many of the answer choices as possible. By eliminating two answer choices, you can vastly improve your chances of getting the item correct. It is recommended that you attempt to answer each question, since your score is calculated based on how many questions you get right, and unanswered or incorrectly answered questions receive no credit.
Work quickly and steadily.Work quickly and steadily to avoid focusing on any one problem for too long. Taking the practice test in this book will help you learn to budget your precious time.
Learn the directions and format for the test.Familiarizing yourself with the directions and format of the test will not only save time, but will also help you avoid anxiety (and the mistakes caused by getting anxious).
Work on the easier questions first.If you find yourself working too long on one question, make a mark next to it on your test booklet and continue. After you have answered all of the questions that you can, go back to the ones you have skipped.
Be sure that the answer you are marking corresponds to the number of the question in the test booklet.Marking one answer out of sequence can throw off your answer key and thus your score. Be extremely careful.
Eliminate obvious wrong answers.Sometimes a question will have one or two answer choices that are a little odd. These answers will be obviously wrong for one of several reasons: they may be impossible given the conditions of the problem, they may violate mathematical rules or principles, or they may be illogical. Being able to spot obvious wrong answers before you finish a problem gives you an advantage because you will be able to make a more educated guess from the remaining choices even if you are unable to fully solve the problem.
Work from answer choices.One of the ways you can use a multiple-choice format to your advantage is to work backwards from the answer choices to solve a problem. This is not a strategy you can use all of the time, but it can be helpful if you can just plug the choices into a given statement or equation. The answer choices can often narrow the scope of responses. You may be able to make an educated guess based on eliminating choices that you know do not fit into the problem.
THE DAY OF THE TEST
Before the Test
On the day of the test, you should wake up early (it is hoped after a decent night's rest) and have a good breakfast. Make sure to dress comfortably, so that you are not distracted by being too hot or too cold while taking the test. Also plan to arrive at school 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.
During the Test
Follow all of the rules and instructions given by your teacher or test supervisor.
When all of the test materials have been passed out, you will receive directions for filling out your answer folder. You must fill out this sheet carefully since this information will be printed on your score report. Fill out your name exactly as it appears on your identification documents, unless otherwise instructed.
You can write in your test booklet or on the scratch paper, which will be provided. However, you must be sure to mark your answers in the appropriate spaces in the answer folder. Each numbered row will contain four ovals corresponding to each answer choice for that question. Fill in the oval that corresponds to your answer darkly, completely, and neatly. You can change your answer, but be sure to completely erase your old answer. Only one answer should be marked. This is very important, as your answer sheet may be machine-scored and stray lines or unnecessary marks may cause the machine to score your answers incorrectly.
After the Test
Once your test materials have been collected, you will be dismissed. Then, go home and relax - you deserve it! Your score report will arrive in the time indicated to you.
Excerpted from Georgia CRCT (REA) - the Best Test Prep for 8th Grade Math by Stephen Hearne
All rights reserved by the original copyright owners. Excerpts are provided for display purposes only and may not be reproduced, reprinted or distributed without the written permission of the publisher.
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