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

by Hearne, Stephen

• ISBN13: 9780738601069
• ISBN10: 0738601063
• Format: Paperback
• Copyright: 2005-05-15
• Publisher: Research & Education Assn

Summary

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 Editors	p. v
About Research & Education Association	p. v
Succeeding on the TCAP Assessment in Mathematics
About this Book	p. xvii
About the TCAP	p. xvii
About the Reviews & Drills	p. xviii
Tips for the Student	p. xix
Sound Advice for Test Day	p. xx
Tips for Parents	p. xxi
Arithmetic Review
Integers and Real Numbers	p. 1
Rational and Irrational Numbers	p. 2
Absolute Value	p. 5
Positive and Negative Numbers	p. 7
Order of Operations	p. 9
Drill: Integers and Real Numbers	p. 9
Fractions	p. 12
Operations With Fractions	p. 12
Drill: Fractions	p. 18
Decimals	p. 22
Operations With Decimals	p. 24
Drill: Decimals	p. 30
Ratio and Proportion	p. 33
Ratio	p. 33
Proportion	p. 33
Percentages	p. 48
Equivalent Forms of a Number	p. 49
Drill: Percentages	p. 59
Radicals	p. 62
Operations With Radicals	p. 62
Drill: Radicals	p. 66
Exponents	p. 68
General Laws of Exponents	p. 69
Power to a Power	p. 71
Drill: Exponents	p. 71
Scientific Notation	p. 73
Averages	p. 74
Mean	p. 74
Median	p. 75
Mode	p. 75
Drill: Averages	p. 76
Estimation	p. 78
Significant Digits	p. 80
Money Notation	p. 81
Counting and Sorting	p. 83
Game Strategies	p. 86
Networks	p. 88
Algorithms	p. 90
Flow Charts	p. 91
More Estimation	p. 93
Arithmetic Drills Answer Key	p. 94
Algebra Review
Operations With Polynomials	p. 98
Drill: Operations With Polynomials	p. 100
Simplifying Algebraic Expressions	p. 102
Commutative Laws (Addition, Multiplication)	p. 105
Associative Laws (Addition, Multiplication)	p. 105
Distributive Law	p. 106
Drill: Simplifying Algebraic Expressions	p. 116
Equations	p. 117
Linear Equations	p. 121
Drill: Linear Equations	p. 126
Two Linear Equations	p. 127
Drill: Two Linear Equations	p. 132
Quadratic Equations	p. 134
Drill: Quadratic Equations	p. 137
Absolute Value Equations	p. 139
Drill: Absolute Value Equations	p. 139
Inequalities	p. 140
Properties of Inequalities	p. 141
Drill: Inequalities	p. 147
Ratios and Proportions	p. 148
Drill: Ratios and Proportions	p. 150
Permutation, Combination, and Probability	p. 151
Trees	p. 159
Iteration	p. 161
Recursion	p. 163
Growth	p. 164
Graphs of Functions	p. 165
Algebra Drills Answer Key	p. 167
Geometry Review
Points, Lines, and Angles	p. 169
Intersection Lines and Angles	p. 170
Types of Angles	p. 170
Perpendicular Lines	p. 175
Parallel Lines	p. 176
Drill: Lines and Angles	p. 180
Polygons (Convex)	p. 182
Drill: Regular Polygons	p. 184
Triangles	p. 185
Drill: Triangles	p. 192
Change in Linear Dimension	p. 194
The Pythagorean Theorem	p. 195
Quadrilaterals	p. 197
Parallelograms	p. 197
Rectangles	p. 198
Rhombi	p. 198
Squares	p. 199
Trapezoids	p. 199
Drill: Quadrilaterals	p. 201
Circles	p. 204
Drill: Circles	p. 209
Solids	p. 211
Rectangular Solids	p. 211
Drill: Solids	p. 212
Perimeters, Areas, Volumes	p. 212
Coordinate Geometry, Plotting, and Graphing	p. 217
Drill: Coordinate Geometry	p. 227
Fractals	p. 230
Geometry Drills Answer Key	p. 232
Word Problems Review
Algebraic	p. 235
Drill: Algebraic	p. 248
Rate	p. 249
Drill: Rate	p. 250
Work	p. 250
Drill: Work	p. 251
Mixture	p. 251
Drill: Mixture	p. 252
Interest	p. 252
Drill: Interest	p. 253
Discount	p. 254
Drill: Discount	p. 255
Profit	p. 255
Drill: Profit	p. 256
Sets	p. 256
Drill: Sets	p. 257
Geometry	p. 258
Drill: Geometry	p. 259
Measurement	p. 259
Drill: Measurement	p. 264
Data Interpretation	p. 265
Drill: Data Interpretation	p. 267
Scaled Drawings	p. 269
Problems with Missing or Misleading Information	p. 271
Making Inferences	p. 272
Word Problem Drills Answer Key	p. 274
Quantitative Ability
Quantitative Comparison	p. 275
Discrete Quantitative	p. 277
Spatial Sense/Relationships
Spatial Sense/Relationships	p. 279
Drill: Spatial Sense/Relationships	p. 283
Spatial Sense/Relationships Drill Answer Key	p. 286
Statistics
What is Statistics?	p. 287
Variables	p. 287
Functions	p. 288
Data Description: Graphs	p. 288
Frequency Distributions	p. 291
Frequency Histograms and Relative Frequency Histograms	p. 293
Cumulative Frequency Distributions	p. 294
Types of Frequency Curves	p. 295
Deductive and Inductive Reasoning	p. 298
Sampling	p. 298
Statistical Plots and Graphs	p. 298
Diagnostic Tests for Class and Homework Assignments
Arithmetic Diagnostic Test	p. 306
Algebra Diagnostic Test	p. 313
Geometry Diagnostic Test	p. 321
Word Problems Diagnostic Test	p. 332
Tcap Mathematics Practice Test	p. 343
Answer Sheet	p. 356
Answer Key	p. 357
Detailed Explanations of Answers	p. 358
Index	p. 367
Table of Contents provided by Ingram. All Rights Reserved.

Excerpts

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