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REA's Tennessee Grade 8 TCAP Math Study Guide!
Fully aligned with Tennessee’s Core Curriculum Standards
Are you prepared to excel on this state high-stakes assessment exam?
* Take the diagnostic Pretest and find out what you know and what you should know
* Use REA's advice and tips to ready yourself for proper study and practice
Sharpen your knowledge and skills
* The book's full subject review refreshes knowledge and covers all topics on the official exam and includes numerous examples, diagrams, and charts to illustrate and reinforce key math lessons
* Smart and friendly lessons reinforce necessary skills
* Key tutorials enhance specific abilities needed on the test
* Targeted drills increase comprehension and help organize study
* Color icons and graphics highlight important concepts and tasks
Practice for real
* Create the closest experience to test-day conditions with a full-length practice Posttest
* Chart your progress with detailed explanations of each answer
* Boost confidence with test-taking strategies and focused drills
Ideal for Classroom, Family, or Solo Test Preparation!
REA has helped generations of students study smart and excel on the important tests. REA’s study guides for state-required exams are teacher-recommended and written by experts who have mastered the test.
Read an Excerpt
SUCCEEDING ON THE TCAP ACHIEVEMENT TEST - GRADE 8 MATHEMATICS
ABOUT THIS BOOK
Our book provides excellent preparation for the TCAP Achievement Test - Grade 8 Mathematics. Inside you will find reviews and drills that are designed to provide students with the instruction, practice, and strategies needed to do well on this achievement test, which is part of the Tennessee Comprehensive Assessment Program, or TCAP.
We also provide a full-length practice test, so students can get a good idea of what to expect on test day. Detailed explanations follow the practice test.
Our Teacher's Answer Guide contains full explanations for 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 TCAP
The purpose of Tennessee's assessment program and achievement tests is to ensure that all students are progressing and successfully meeting the state's academic content standards. The eighth grade achievement tests are among the key tools used to gauge whether the student is on track to perform well at the high school level; the tests are also used to identify students who need additional instruction to master the knowledge and skills as set forth by the state of Tennessee.
The Grade 8 mathematics test contains 64 multiple-choice questions and is administered in two 40-minute sections, with a break between sections.
Schools can decide whether to allow students to use a four-function calculator but all test items are calculator-neutral, designed to be solved without the use of a calculator. Students also receive a punch-out ruler to help solve certain problems. The questions are designed to test student mastery of these seven key standards for Grade 8 mathematics:
1. Number and Operations
2. Algebraic Thinking
3. Graphs and Graphing
4. Real World Problem Solving
5. Data Analysis and Probability
For comprehensive official information on the TCAP Achievement Tests, visit the Tennessee State Education Department online at http://www.state.tn.us/education/assessment.
ABOUT THE REVIEWS & DRILLS
The reviews in this book are designed to help students sharpen the basic skills needed to approach the exam, as well as to provide strategies for solving each type of question. Students will also find exercises to reinforce what has been learned. By using the reviews in conjunction with the drills and practice test, students will be in a better position to master the exam.
TIPS FOR THE STUDENT
There are plenty of things students can do before and during the actual test to improve their test-taking performance. The good thing is most of the tips described in the following pages are easy!
Preparing for the Test
Do you get nervous when your teacher talks about taking a test? A certain amount of anxiety is normal and it actually may help you prepare better for the test by getting you motivated. But too much anxiety is a bad thing and may keep you from properly preparing for the test. Here are some things to consider that may help relieve test anxiety:
- Share how you are feeling with your parents and your teachers. They may have ways of helping you deal with how you are feeling.
- Keep on top of your game. Are you behind in your math homework and class assignments? A lot of your classwork-related anxiety and stress will simply go away if you keep up with your homework assignments and classwork. And then you can focus on the test with a clearer mind.
- Relax. Take a deep breath or two. You should do this especially if you get anxious while taking the test.
Study Tips & Taking The Test
- Learn the Test's Format. Don't be surprised. By taking a practice test ahead of time you'll know what the test looks like, how much time you will have, how many questions there are, and what kinds of questions are going to appear on it. Knowing ahead of time is much better than being surprised.
- Read the Entire Question. Pay attention to what answer a question or word problem is looking for. Reread the question if it does not make sense to you, and try to note the parts of the question needed for figuring out the right answer.
- Read All the Answers. On a multiple-choice test, the right answer could also be the last answer. You won't know unless you read all the possible answers to a question.
- It's Not a Guessing Game. If you don't know the answer to a question, don't make an uneducated guess. And don't randomly pick just any answer either. As you read over each possible answer to a question, note any answers which are obviously wrong. Each obviously wrong answer you identify and eliminate greatly improves your chances at selecting the right answer.
- Don't Get Stuck on Questions. Don't spend too much time on any one question. Doing this takes away time from the other questions. Work on the easier questions first. Skip the really hard questions and come back to them if there is still enough time.
- Accuracy counts. Make sure you record your answer in the correct space on your answer sheet. Fixing mistakes only takes time away from you.
- Finished early? Use this time wisely and double-check your answers.
SOUND ADVICE FOR TEST DAY
The Night Before. Getting a good night's rest keeps your mind sharp and focused for the test.
The Morning of the Test. Have a good breakfast. Dress in comfortable clothes. Keep in mind that you don't want to be too hot or too cold while taking the test. Get to school on time. Give yourself time to gather your thoughts and calm down before the test begins.
Three Steps for Taking the Test
1) Read. Read the entire question and then read all the possible answers.
2) Answer. Answer the easier questions first and then go back to the more difficult questions.
3) Double-Check. Go back and check your work if time permits.
TIPS FOR PARENTS
Encourage your child to take responsibility for homework and class assignments. Help your child create a study schedule. Mark the test's date on a family calendar as a reminder for both of you.
- Talk to your child's teachers. Ask them for progress reports on an ongoing basis.
- Commend your child's study and test successes. Praise your child for successfully following a study schedule, for doing homework, and for any work done well.
- Test Anxiety. Your child may experience nervousness or anxiety about the test. You may even be anxious, too. Here are some helpful tips on dealing with a child's test anxiety:
- Talk about the test openly and positively with your child. An ongoing dialogue not only can relieve your child's anxieties but also serves as a progress report of how your child feels about the test.
- Form realistic expectations of your child's testing abilities.
- Be a "Test Cheerleader." Your encouragement to do his or her best on the test can alleviate your child's test anxiety.
Table of ContentsTABLE OF CONTENTS
About Our Editors
About Research & Education Association
PASSING THE TCAP IN MATHEMATICS
About this Book
About the Test
How to Use this Book
About the Review Sections
The Day of the Test
Integers and Real Numbers
Positive and Negative Numbers
Order of Operations
Drill: Integers and Real Numbers
Operations With Fractions
Operations With Decimals
Ratio and Proportion
Equivalent Forms of a Number
Operations With Radicals
General Laws of Exponents
Power to a Power
Counting and Sorting
Arithmetic Drills Answer Key
Operations With Polynomials
Drill: Operations With Polynomials
Simplifying Algebraic Expressions
Commutative Laws (Addition, Multiplication)
Associative Laws (Addition, Multiplication)
Drill: Simplifying Algebraic Expressions
Drill: Linear Equations
Two Linear Equations
Drill: Two Linear Equations
Drill: Quadratic Equations
Absolute Value Equations
Drill: Absolute Value Equations
Properties of Inequalities
Ratios and Proportions
Drill: Ratios and Proportions
Permutation, Combination, and Probability
Algebra Drills Answer Key
Points, Lines, and Angles
Intersection Lines and Angles
Types of Angles
Drill: Lines and Angles
Drill: Regular Polygons
Change in Linear Direction
The Pythagorean Theorem
Perimeters, Areas, Volumes
Coordinate Geometry, Plotting, and Graphing
Drill: Coordinate Geometry
Geometry Drills Answer Key
WORD REVIEW PROBLEMS
Drill: Data Interpretation
Problems with Missing or Misleading Information
Word Problem Drills Answer Key
SPATIAL SENSE RELATIONSHIPS
Drill: Spatial Sense/Relationships
Spatial Sense/Relationships Drill Answer Key
What is Statistics?
Data Description: Graphs
Frequency Histograms and Relative
Cumulative Frequency Distributions
Types of Frequency Curves
Deductive and Inductive Reasoning
Statistical Plots and Graphs
Diagnostic Tests For Class and Homework Assignments
Arithmetic Diagnostic Test
Algebra Diagnostic Test
Geometry Diagnostic Test
Word Problems Diagnostic Test
TCAP Mathematics Practice Test
Detailed Explanations of Answers