TCAP Tennessee 8th Grade Achievement Test (REA) - The Best Test Prep for the TCAP

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  • Format: Paperback
  • Copyright: 2005-05-15
  • Publisher: Research & Education Assn
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Score high and succeed on the Tennessee TCAP Grade 8 mathematics exam! REA gets students ready for exam day! Our all-new test prep for the TCAP 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 TCAP exam so you can familiarize yourself with the content and format of the actual TCAP 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 TCAP test prep available for Tennessee students in the 8th grade - Features a comprehensive review of every mathematics topic to appear on the TCAP exam - All math problems in the review are clearly explained - many problems feature color charts, diagrams and illustrations - Includes a full-length practice TCAP 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 state of Tennessee.

Table of Contents

About Our Editorsp. v
About Research & Education Associationp. v
Succeeding on the TCAP Assessment in Mathematics
About this Bookp. xvii
About the TCAPp. xvii
About the Reviews & Drillsp. xviii
Tips for the Studentp. xix
Sound Advice for Test Dayp. xx
Tips for Parentsp. xxi
Arithmetic Review
Integers and Real Numbersp. 1
Rational and Irrational Numbersp. 2
Absolute Valuep. 5
Positive and Negative Numbersp. 7
Order of Operationsp. 9
Drill: Integers and Real Numbersp. 9
Fractionsp. 12
Operations With Fractionsp. 12
Drill: Fractionsp. 18
Decimalsp. 22
Operations With Decimalsp. 24
Drill: Decimalsp. 30
Ratio and Proportionp. 33
Ratiop. 33
Proportionp. 33
Percentagesp. 48
Equivalent Forms of a Numberp. 49
Drill: Percentagesp. 59
Radicalsp. 62
Operations With Radicalsp. 62
Drill: Radicalsp. 66
Exponentsp. 68
General Laws of Exponentsp. 69
Power to a Powerp. 71
Drill: Exponentsp. 71
Scientific Notationp. 73
Averagesp. 74
Meanp. 74
Medianp. 75
Modep. 75
Drill: Averagesp. 76
Estimationp. 78
Significant Digitsp. 80
Money Notationp. 81
Counting and Sortingp. 83
Game Strategiesp. 86
Networksp. 88
Algorithmsp. 90
Flow Chartsp. 91
More Estimationp. 93
Arithmetic Drills Answer Keyp. 94
Algebra Review
Operations With Polynomialsp. 98
Drill: Operations With Polynomialsp. 100
Simplifying Algebraic Expressionsp. 102
Commutative Laws (Addition, Multiplication)p. 105
Associative Laws (Addition, Multiplication)p. 105
Distributive Lawp. 106
Drill: Simplifying Algebraic Expressionsp. 116
Equationsp. 117
Linear Equationsp. 121
Drill: Linear Equationsp. 126
Two Linear Equationsp. 127
Drill: Two Linear Equationsp. 132
Quadratic Equationsp. 134
Drill: Quadratic Equationsp. 137
Absolute Value Equationsp. 139
Drill: Absolute Value Equationsp. 139
Inequalitiesp. 140
Properties of Inequalitiesp. 141
Drill: Inequalitiesp. 147
Ratios and Proportionsp. 148
Drill: Ratios and Proportionsp. 150
Permutation, Combination, and Probabilityp. 151
Treesp. 159
Iterationp. 161
Recursionp. 163
Growthp. 164
Graphs of Functionsp. 165
Algebra Drills Answer Keyp. 167
Geometry Review
Points, Lines, and Anglesp. 169
Intersection Lines and Anglesp. 170
Types of Anglesp. 170
Perpendicular Linesp. 175
Parallel Linesp. 176
Drill: Lines and Anglesp. 180
Polygons (Convex)p. 182
Drill: Regular Polygonsp. 184
Trianglesp. 185
Drill: Trianglesp. 192
Change in Linear Dimensionp. 194
The Pythagorean Theoremp. 195
Quadrilateralsp. 197
Parallelogramsp. 197
Rectanglesp. 198
Rhombip. 198
Squaresp. 199
Trapezoidsp. 199
Drill: Quadrilateralsp. 201
Circlesp. 204
Drill: Circlesp. 209
Solidsp. 211
Rectangular Solidsp. 211
Drill: Solidsp. 212
Perimeters, Areas, Volumesp. 212
Coordinate Geometry, Plotting, and Graphingp. 217
Drill: Coordinate Geometryp. 227
Fractalsp. 230
Geometry Drills Answer Keyp. 232
Word Problems Review
Algebraicp. 235
Drill: Algebraicp. 248
Ratep. 249
Drill: Ratep. 250
Workp. 250
Drill: Workp. 251
Mixturep. 251
Drill: Mixturep. 252
Interestp. 252
Drill: Interestp. 253
Discountp. 254
Drill: Discountp. 255
Profitp. 255
Drill: Profitp. 256
Setsp. 256
Drill: Setsp. 257
Geometryp. 258
Drill: Geometryp. 259
Measurementp. 259
Drill: Measurementp. 264
Data Interpretationp. 265
Drill: Data Interpretationp. 267
Scaled Drawingsp. 269
Problems with Missing or Misleading Informationp. 271
Making Inferencesp. 272
Word Problem Drills Answer Keyp. 274
Quantitative Ability
Quantitative Comparisonp. 275
Discrete Quantitativep. 277
Spatial Sense/Relationships
Spatial Sense/Relationshipsp. 279
Drill: Spatial Sense/Relationshipsp. 283
Spatial Sense/Relationships Drill Answer Keyp. 286
What is Statistics?p. 287
Variablesp. 287
Functionsp. 288
Data Description: Graphsp. 288
Frequency Distributionsp. 291
Frequency Histograms and Relative Frequency Histogramsp. 293
Cumulative Frequency Distributionsp. 294
Types of Frequency Curvesp. 295
Deductive and Inductive Reasoningp. 298
Samplingp. 298
Statistical Plots and Graphsp. 298
Diagnostic Tests for Class and Homework Assignments
Arithmetic Diagnostic Testp. 306
Algebra Diagnostic Testp. 313
Geometry Diagnostic Testp. 321
Word Problems Diagnostic Testp. 332
Tcap Mathematics Practice Testp. 343
Answer Sheetp. 356
Answer Keyp. 357
Detailed Explanations of Answersp. 358
Indexp. 367
Table of Contents provided by Ingram. All Rights Reserved.


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 6. Measurement 7. Geometry 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 Test Anxiety 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 t

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