Quick Review Math Handbook: Hot Words, Hot Topics, Book 2, Student Edition: BAILEY ETAL04: 9780078601262: Book: : eCampus.com

Quick Review Math Handbook: Hot Words, Hot Topics (available in English and Spanish) provides students and parents with a comprehensive reference of important mathematical terms and concepts to help them build their mathematics literacy. This handbook also includes short-instruction and practice of key standards for Middle School and High School success.

Introduction

xiv

PART ONE Hot Words

(64)

Glossary

(56)

Definitions for boldfaced words and other key mathematical terms in the Hot Topics section

Formulas

(2)

Commonly used formulas

Symbols

(1)

Mathematical symbols with their meanings

Patterns

(3)

A collection of common and significant patterns that are woven through mathematics

PART TWO Hot Topics

(378)

Numbers and Computation

(28)

What Do You Already Know?

(2)

Place Value of Whole Numbers

Understanding Our Number System

(1)

Expanded Notation

(1)

Comparing and Ordering Numbers

(1)

Using Approximations

(1)

Exercises

(1)

Properties

Commutative and Associative Properties

(1)

Properties of One and Zero

(1)

Distributive Property

(2)

Exercises

(1)

Order of Operations

Understanding the Order of Operations

(1)

Exercises

(1)

Factors and Multiples

Factors

(2)

Divisibility Rules

(1)

Prime and Composite Numbers

(2)

Multiples and Least Common Multiples

(2)

Exercises

(1)

Integer Operations

Positive and Negative Integers

(1)

Opposites of Integers and Absolute Value

(1)

Adding and Subtracting Integers

(1)

Multiplying and Dividing Integers

(1)

Exercises

(1)

What Have You Learned?

(2)

Fractions, Decimals, and Percents

(66)

What Do You Already Know?

(2)

Fractions and Equivalent Fractions

Naming Fractions

100

(2)

Methods for Finding Equivalent Fractions

102

(2)

Least Common Denominator

104

(2)

Writing Fractions in Lowest Terms

106

(1)

Writing Improper Fractions and Mixed Numbers

107

(2)

Exercises

109

(1)

Comparing and Ordering Fractions

Comparing Fractions

110

(2)

Ordering Fractions

112

(1)

Exercises

113

(1)

Addition and Subtraction of Fractions

Adding and Subtracting Fractions with Like Denominators

114

(1)

Adding and Subtracting Fractions with Unlike Denominators

115

(1)

Adding and Subtracting Mixed Numbers

116

(3)

Exercises

119

(1)

Multiplication and Division of Fractions

Multiplying Fractions

120

(2)

Dividing Fractions

122

(1)

Exercises

123

(1)

Naming and Ordering Decimals

Decimal Place Value: Tenths and Hundredths

124

(1)

Decimal Place Value: Thousandths

125

(1)

Naming Decimals Greater Than and Less Than One

126

(1)

Comparing Decimals

127

(2)

Exercises

129

(1)

Decimal Operations

Adding and Subtracting Decimals

130

(2)

Multiplying Decimals

132

(3)

Dividing Decimals

135

(2)

Exercises

137

(1)

Meaning of Percent

Naming Percents

138

(1)

Understanding the Meaning of Percent

139

(2)

Exercises

141

(1)

Using and Finding Percents

Finding a Percent of a Number

142

(2)

Finding Percent and Base

144

(1)

Percent of Increase or Decrease

145

(2)

Discounts and Sale Prices

147

(3)

Finding Simple Interest

150

(1)

Exercises

151

(1)

Fraction, Decimal, and Percent Relationships

Percents and Fractions

152

(2)

Percents and Decimals

154

(2)

Fractions and Decimals

156

(3)

Exercises

159

(1)

What Have You Learned?

160

(2)

Powers and Roots

162

(22)

What Do You Already Know?

164

(2)

Powers and Exponents

Exponents

166

(1)

Evaluating the Square of a Number

167

(1)

Evaluating the Cube of a Number

168

(1)

Powers of Ten

169

(2)

Exercises

171

(1)

Square and Cube Roots

Square Roots

172

(4)

Cube Roots

176

(1)

Exercises

177

(1)

Scientific Notation

Using Scientific Notation

178

(1)

Converting from Scientific Notation to Standard Form

179

(2)

Exercises

181

(1)

What Have You Learned?

182

(2)

Data, Statistics, and Probability

184

(54)

What Do You Already Know?

186

(2)

Collecting Data

Surveys

188

(1)

Random Samples

189

(1)

Questionnaires

190

(1)

Compiling Data

191

(2)

Exercises

193

(1)

Displaying Data

Interpret and Create a Table

194

(1)

Interpret a Box Plot

195

(1)

Interpret and Create a Circle Graph

196

(2)

Interpret and Create a Frequency Graph

198

(1)

Interpret a Line Graph

199

(1)

Interpret a Stem-and-Leaf Plot

200

(1)

Interpret and Create a Bar Graph

201

(2)

Interpret a Double-Bar Graph

203

(1)

Interpret and Create a Histogram

203

(2)

Exercises

205

(1)

Analyzing Data

Correlation

206

(2)

Distribution of Data

208

(1)

Exercises

209

(1)

Statistics

Mean

210

(1)

Median

211

(2)

Mode

213

(1)

Range

214

(1)

Exercises

215

(1)

Combinations and Permutations

Tree Diagrams

216

(2)

Permutations

218

(2)

Combinations

220

(3)

Exercises

223

(1)

Probability

Experimental Probability

224

(1)

Theoretical Probability

225

(2)

Strip Graphs

227

(1)

Outcome Grids

228

(3)

Probability Line

231

(1)

Dependent and Independent Events

232

(1)

Sampling

233

(2)

Exercises

235

(1)

What Have You Learned?

236

(2)

Logic

238

(18)

What Do You Already Know?

240

(2)

If/Then Statements

Conditional Statements

242

(1)

Converse of a Conditional

243

(1)

Negations and the Inverse of a Conditional

244

(1)

Contrapositive of a Conditional

245

(2)

Exercises

247

(1)

Counterexamples

248

(1)

Exercises

249

(1)

Sets

Sets and Subsets

250

(1)

Union of Sets

250

(1)

Intersection of Sets

251

(1)

Venn Diagrams

251

(2)

Exercises

253

(1)

What Have You Learned?

254

(2)

Algebra

256

(66)

What Do You Already Know?

258

(2)

Writing Expressions and Equations

Expressions

260

(1)

Writing Expressions Involving Addition

260

(1)

Writing Expressions Involving Subtraction

261

(1)

Writing Expressions Involving Multiplication

262

(1)

Writing Expressions Involving Division

263

(1)

Writing Expressions Involving Two Operations

264

(2)

Equations

266

(1)

Exercises

267

(1)

Simplifying Expressions

Terms

268

(1)

The Commutative Property of Addition and Multiplication

268

(1)

The Associative Property of Addition and Multiplication

269

(1)

The Distributive Property

270

(1)

Equivalent Expressions

271

(2)

Like Terms

273

(1)

Simplifying Expressions

274

(1)

Exercises

275

(1)

Evaluating Expressions and Formulas

Evaluating Expressions

276

(1)

Evaluating Formulas

276

(3)

Exercises

279

(1)

Solving Linear Equations

Additive Inverses

280

(1)

True or False Equations

280

(1)

The Solution of an Equation

281

(1)

Equivalent Equations

282

(1)

Solving Equations

282

(3)

Solving Equations Requiring Two Operations

285

(1)

Solving Equations with the Variable on Both Sides

286

(2)

Equations Involving the Distributive Property

288

(1)

Solving for a Variable in a Formula

289

(2)

Exercises

291

(1)

Ratio and Proportion

Ratio

292

(1)

Proportions

292

(1)

Using Proportions to Solve Problems

293

(2)

Exercises

295

(1)

Inequalities

Showing Inequalities

296

(1)

Solving Inequalities

297

(2)

Exercises

299

(1)

Graphing on the Coordinate Plane

Axes and Quadrants

300

(1)

Writing an Ordered Pair

301

(1)

Locating Points on the Coordinate Plane

302

(1)

The Graph of an Equation with Two Variables

303

(4)

Exercises

307

(1)

Slope and Intercept

Slope

308

(1)

Calculating the Slope of a Line

309

(3)

The y-Intercept

312

(1)

Using the Slope and y-Intercept to Graph a Line

313

(1)

Slope-Intercept Form

314

(1)

Writing Equations in Slope-Intercept Form

315

(2)

Writing the Equation of a Line

317

(2)

Exercises

319

(1)

What Have You Learned?

320

(2)

Geometry

322

(66)

What Do You Already Know?

324

(2)

Naming & Classifying Angles & Triangles

Points, Lines, and Rays

326

(1)

Naming Angles

327

(1)

Measuring Angles

328

(1)

Classifying Angles

329

(1)

Classifying Triangles

330

(2)

The Triangle Inequality

332

(1)

Exercises

333

(1)

Naming & Classifying Polygons & Polyhedrons

Quadrilaterals

334

(1)

Angles of a Quadrilateral

334

(1)

Types of Quadrilaterals

335

(2)

Polygons

337

(2)

Angles of a Polygon

339

(1)

Polyhedrons

340

(2)

Exercises

342

(2)

Symmetry and Transformations

Reflections

344

(2)

Reflection Symmetry

346

(1)

Rotations

347

(1)

Translations

348

(1)

Exercises

349

(1)

Perimeter

Perimeter of a Polygon

350

(1)

Perimeter of a Rectangle

351

(2)

Perimeter of a Right Triangle

353

(1)

Exercises

354

(2)

Area

What Is Area?

356

(1)

Estimating Area

356

(1)

Area of a Rectangle

357

(1)

Area of a Parallelogram

358

(1)

Area of a Triangle

359

(1)

Area of a Trapezoid

360

(1)

Exercises

361

(1)

Surface Area

Surface Area of a Rectangular Prism

362

(1)

Surface Area of Other Solids

363

(2)

Exercises

365

(1)

Volume

What Is Volume?

366

(1)

Volume of a Prism

367

(1)

Volume of a Cylinder

368

(1)

Volume of a Pyramid and a Cone

368

(3)

Exercises

371

(1)

Circles

Parts of a Circle

372

(1)

Circumference

373

(2)

Central Angles

375

(1)

Area of a Circle

376

(1)

Exercises

377

(1)

Pythagorean Theorem

Right Triangles

378

(1)

The Pythagorean Theorem

379

(1)

Pythagorean Triples

380

(1)

Exercises

381

(1)

Tangent Ratio

Sides and Angles in a Right Triangle

382

(1)

Tangent of an Angle

382

(1)

Tangent Table

383

(1)

Using the Tangent Ratio

384

(1)

Exercises

385

(1)

What Have You Learned?

386

(2)

Measurement

388

(26)

What Do You Already Know?

390

(2)

Systems of Measurement

The Metric and Customary Systems

392

(2)

Accuracy

394

(1)

Exercises

395

(1)

Length and Distance

What About Length?

396

(1)

Metric and Customary Units

397

(1)

Conversions Between Systems

398

(1)

Exercises

399

(1)

Area, Volume, and Capacity

Area

400

(1)

Volume

401

(1)

Capacity

402

(1)

Exercises

403

(1)

Mass and Weight

404

(1)

Exercises

405

(1)

Time

Working with Time Units

406

(1)

Exercises

407

(1)

Size and Scale

Similar Figures

408

(1)

Scale Factors

409

(1)

Scale Factors and Area

410

(1)

Exercises

411

(1)

What Have You Learned?

412

(2)

Tools

414

(30)

What Do You Already Know?

416

(3)

Four-Function Calculator

Basic Operations

419

(1)

Memory

420

(1)

Special Keys

421

(2)

Exercises

423

(2)

Scientific Calculator

Frequently Used Functions

425

(1)

Tangent

426

(1)

Exercises

427

(1)

Geometry Tools

Ruler

428

(1)

Protractor

429

(1)

Compass

430

(1)

Construction Problem

431

(3)

Exercises

434

(2)

Spreadsheets

What Is a Spreadsheet?

436

(1)

Spreadsheet Formulas

437

(1)

Fill Down and Fill Right

438

(2)

Spreadsheet Graphs

440

(1)

Exercises

441

(1)

What Have You Learned?

442

(2)

PART THREE Hot Solutions and Index

444


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