viii

Solving Linear EquationsSE1

“ “I like talking about math, and working with a partner allows me to do that.

What You Learned Before ............................1 Section 1.1 Solving Simple Equations Activity .....................................................................2 Lesson .....................................................................4 Section 1.2 Solving Multi-Step Equations Activity ...................................................................10 Lesson ...................................................................12 Study Help/Graphic Organizer ..............16 1.1–1.2 Quiz ..........................................................17 Section 1.3 Solving Equations with Variables

on Both Sides Activity ...................................................................18 Lesson ..................................................................20 Extension: Solving Absolute

Value Equations .............................................24 Section 1.4 Rewriting Equations and Formulas Activity ..................................................................26 Lesson ..................................................................28 1.3–1.4 Quiz ........................................................32 Chapter Review ..............................................33 Chapter Test .....................................................36 Standards Assessment ..............................37

ix

What You Learned Before ........................41 Section 2.1 Graphing Linear Equations Activity .................................................................42 Lesson .................................................................44 Section 2.2 Slope of a Line Activity .................................................................48 Lesson .................................................................50 Extension: Slopes of Parallel and Perpendicular Lines ..................................56 Section 2.3 Graphing Linear Equations in

Slope-Intercept Form Activity .................................................................58 Lesson .................................................................60 Section 2.4 Graphing Linear Equations

in Standard Form Activity .................................................................64 Lesson .................................................................66 Study Help/Graphic Organizer .............70 2.1–2.4 Quiz .......................................................71 Section 2.5 Writing Equations in

Slope-Intercept Form Activity .................................................................72 Lesson .................................................................74 Section 2.6 Writing Equations in Point-Slope Form Activity .................................................................78 Lesson .................................................................80 Extension: Writing Equations of

Parallel and Perpendicular Lines .......84 Section 2.7 Solving Real-Life Problems Activity .................................................................86 Lesson .................................................................88 2.5–2.7 Quiz .....................................................92 Chapter Review .............................................93 Chapter Test ....................................................98 Standards Assessment .............................99

Graphing and Writing Linear Equations

24

80

6

80

2

“With my eBook, I get to decide when I use

technology and when I use print.

“

ix

Solving Linear InequalitiesSI3

“ “I like that the Essential Question helps me

begin thinking about the lesson.

What You Learned Before .....................103 Section 3.1 Writing and Graphing Inequalities Activity ...............................................................104 Lesson ...............................................................106 Section 3.2 Solving Inequalities Using Addition

or Subtraction Activity ................................................................110 Lesson ................................................................112 Section 3.3 Solving Inequalities Using

Multiplication or Division Activity ................................................................116 Lesson ................................................................118 Study Help/Graphic Organizer ...........124 3.1–3.3 Quiz ....................................................125 Section 3.4 Solving Multi-Step Inequalities Activity ...............................................................126 Lesson ...............................................................128 Extension: Solving Compound Inequalities .....................................................132 Section 3.5 Graphing Linear Inequalities

in Two Variables Activity ...............................................................136 Lesson ...............................................................138 3.4–3.5 Quiz ...................................................144 Chapter Review ...........................................145 Chapter Test ..................................................148 Standards Assessment ...........................149

x

What You Learned Before .....................153 Section 4.1 Solving Systems of Linear Equations

by Graphing Activity ...............................................................154 Lesson ...............................................................156 Section 4.2 Solving Systems of Linear Equations

by Substitution Activity ...............................................................160 Lesson ...............................................................162 Study Help/Graphic Organizer ...........166 4.1– 4.2 Quiz ...................................................167 Section 4.3 Solving Systems of Linear Equations

by Elimination Activity ...............................................................168 Lesson ...............................................................170 Section 4.4 Solving Special Systems of

Linear Equations Activity ...............................................................176 Lesson ...............................................................178 Extension: Solving Linear

Equations by Graphing ...........................182 Section 4.5 Systems of Linear Inequalities Activity ...............................................................184 Lesson ...............................................................186 4.3–4.4 Quiz ...................................................192 Chapter Review ...........................................193 Chapter Test ..................................................196 Standards Assessment ...........................197

Solving Systems of Linear Equations

46

0267

80

4

I really enjoy the projects at the end of the book

because they help connect the math to other

subjects, like science or art.

“

xi

“

Linear FunctionsL5

I like Newton and Descartes! The cartoons

are funny and I like that they model the math that we

are learning.

What You Learned Before .....................201 Section 5.1 Domain and Range of a Function Activity ..............................................................202 Lesson ..............................................................204 Extension: Relations and Functions ........................................................208 Section 5.2 Discrete and Continuous Domains Activity ...............................................................210 Lesson ...............................................................212 Section 5.3 Linear Function Patterns Activity ...............................................................216 Lesson ...............................................................218 Study Help/Graphic Organizer ..........222 5.1–5.3 Quiz ...................................................223 Section 5.4 Function Notation Activity ..............................................................224 Lesson ..............................................................226 Extension: Special Functions .............232 Section 5.5 Comparing Linear and Nonlinear

Functions Activity ..............................................................236 Lesson ..............................................................238 Section 5.6 Arithmetic Sequences Activity ..............................................................242 Lesson ..............................................................244 5.4–5.6 Quiz ..................................................250 Chapter Review .......................................... 251 Chapter Test .................................................254 Standards Assessment ..........................255

xii

“ “

What You Learned Before .....................259 Section 6.1 Properties of Square Roots Activity ...............................................................260 Lesson ...............................................................262 Extension: Real Number Operations ......................................................266 Section 6.2 Properties of Exponents Activity ...............................................................268 Lesson ...............................................................270 Section 6.3 Radicals and Rational Exponents Activity ...............................................................276 Lesson ...............................................................278 Study Help/Graphic Organizer ..........282 6.1 – 6.3 Quiz ...................................................283 Section 6.4 Exponential Functions Activity ...............................................................284 Lesson ...............................................................286 Extension: Solving Exponential Equations ........................................................292 Section 6.5 Exponential Growth Activity ...............................................................294 Lesson ...............................................................296 Section 6.6 Exponential Decay Activity ...............................................................300 Lesson ...............................................................302 Section 6.7 Geometric Sequences Activity ...............................................................306 Lesson ...............................................................308 Extension: Recursively Defi ned Sequences ...................................................... 312 6.4– 6.7 Quiz ..................................................316 Chapter Review ........................................... 317 Chapter Test ..................................................322 Standards Assessment ...........................323

Exponential Equations and Functions

02

6

80

6823

6

I really like the Big Ideas Math website!

The online resources are a huge help when

I get stuck or need extra help.

“ “

xiii

Polynomial Equations and FactoringPa7

I like the real-life application exercises because they show me

how I can use the math in my own life.

What You Learned Before .................... 327 Section 7.1 Polynomials Activity ..............................................................328 Lesson ..............................................................330 Section 7.2 Adding and Subtracting Polynomials Activity ..............................................................334 Lesson ..............................................................336 Section 7.3 Multiplying Polynomials Activity ..............................................................340 Lesson ..............................................................342 Section 7.4 Special Products of Polynomials Activity ..............................................................348 Lesson ..............................................................350 Study Help/Graphic Organizer ..........354 7.1–7.4 Quiz ...................................................355 Section 7.5 Solving Polynomial Equations

in Factored Form Activity ..............................................................356 Lesson ..............................................................358 Section 7.6 Factoring Polynomials Using the GCF Activity ..............................................................362 Lesson ..............................................................364 Section 7.7 Factoring x 2 + bx + c Activity ..............................................................368 Lesson ..............................................................370 Section 7.8 Factoring ax 2 + bx + c Activity ..............................................................376 Lesson ..............................................................378 Section 7.9 Factoring Special Products Activity ..............................................................382 Lesson ..............................................................384 Extension: Factoring Polynomials Completely.....................................................388 7.5–7.9 Quiz ..................................................390 Chapter Review .......................................... 391 Chapter Test .................................................396 Standards Assessment ..........................397

“ “

xiv

What You Learned Before .....................401 Section 8.1 Graphing y = ax 2

Activity ..............................................................402 Lesson ..............................................................404 Section 8.2 Focus of a Parabola Activity ...............................................................410 Lesson ...............................................................412 Section 8.3 Graphing y = ax 2 + c Activity ...............................................................416 Lesson ...............................................................418 Study Help/Graphic Organizer ..........422 8.1–8.3 Quiz ...................................................423 Section 8.4 Graphing y = ax 2 + bx + c Activity ..............................................................424 Lesson ..............................................................426 Extension: Graphing y = a(x − h)2 + k ........................................432 Section 8.5 Comparing Linear, Exponential,

and Quadratic Functions Activity ..............................................................434 Lesson ..............................................................436 Extension: Comparing Graphs of Functions ..................................................442 8.4 – 8.5 Quiz .................................................444 Chapter Review ..........................................445 Chapter Test .................................................448 Standards Assessment ..........................449

Graphing Quadratic Functions

24

02

6823

4

8

I like playing the games in the Game Closet! They are a fun way to practice concepts we are learning

in class.

“ “

xv

Solving Quadratic EquationsSE9

With the BigIdeasMath.com website I don’t have to worry if I forget my book

or my workbook at school.

What You Learned Before ....................453 Section 9.1 Solving Quadratic Equations

by Graphing Activity ..............................................................454 Lesson ..............................................................456 Section 9.2 Solving Quadratic Equations

Using Square Roots Activity ..............................................................462 Lesson ..............................................................464 Section 9.3 Solving Quadratic Equations

by Completing the Square Activity ..............................................................468 Lesson ..............................................................470 Study Help/Graphic Organizer ..........474 9.1–9.3 Quiz ...................................................475 Section 9.4 Solving Quadratic Equations

Using the Quadratic Formula Activity ..............................................................476 Lesson ..............................................................478 Extension: Choosing a Solution Method .............................................................484 Section 9.5 Solving Systems of Linear

and Quadratic Equations Activity ..............................................................486 Lesson ..............................................................488 9.4–9.5 Quiz ..................................................492 Chapter Review ..........................................493 Chapter Test .................................................496 Standards Assessment ..........................497

“ “

xvi

What You Learned Before ...................501 Section 10.1 Graphing Square Root Functions Activity .............................................................502 Lesson ............................................................504 Extension: Rationalizing the Denominator ...............................................508 Section 10.2 Solving Square Root Equations Activity ..............................................................510 Lesson .............................................................512 Study Help/Graphic Organizer .........518 10.1–10.2 Quiz ...............................................519 Section 10.3 The Pythagorean Theorem Activity .............................................................520 Lesson ............................................................522 Section 10.4 Using the Pythagorean Theorem Activity .............................................................526 Lesson ............................................................528 10.3 – 10.4 Quiz ............................................532 Chapter Review .........................................533 Chapter Test ................................................536 Standards Assessment ........................ 537

Square Root Functions and Geometry

24

8

0289

02

10

I like that I can print the Glossary

Flashcards to review before a test.

“ “

xviixv

Rational Equations and FunctionsRa11

Before my school had Big Ideas Math I would always lose test points

because I left units off my answers. Now I see why they are so important.

What You Learned Before ...................541 Section 11.1 Direct and Inverse Variation Activity .............................................................542 Lesson ............................................................544 Section 11.2 Graphing Rational Functions Activity .............................................................550 Lesson ............................................................552 Extension: Inverse of a Function ....558 Section 11.3 Simplifying Rational Expressions Activity .............................................................560 Lesson ............................................................562 Study Help/Graphic Organizer ........566 11.1–11.3 Quiz ................................................567 Section 11.4 Multiplying and Dividing Rational

Expressions Activity .............................................................568 Lesson ............................................................570 Section 11.5 Dividing Polynomials Activity .............................................................574 Lesson ............................................................576 Section 11.6 Adding and Subtracting

Rational Expressions Activity .............................................................580 Lesson ............................................................582 Section 11.7 Solving Rational Equations Activity .............................................................588 Lesson ............................................................590 11.4–11.7 Quiz ...............................................594 Chapter Review .........................................595 Chapter Test ................................................600 Standards Assessment ........................601

“ “

xviii

What You Learned Before ....................605 Section 12.1 Measures of Central Tendency Activity ..............................................................606 Lesson ..............................................................608 Section 12.2 Measures of Dispersion Activity .............................................................. 612 Lesson .............................................................. 614 Section 12.3 Box-and-Whisker Plots Activity .............................................................. 618 Lesson ..............................................................620 Section 12.4 Shapes of Distributions Activity ..............................................................626 Lesson ..............................................................628 Study Help/Graphic Organizer ..........634 12.1–12.4 Quiz ...............................................635 Section 12.5 Scatter Plots and Lines of Fit Activity ..............................................................636 Lesson ..............................................................638 Section 12.6 Analyzing Lines of Fit Activity ..............................................................644 Lesson ..............................................................646 Section 12.7 Two-Way Tables Activity ..............................................................652 Lesson ..............................................................654 Section 12.8 Choosing a Data Display Activity ..............................................................658 Lesson ..............................................................660 12.5–12.8 Quiz ..............................................664 Chapter Review ..........................................665 Chapter Test .................................................670 Standards Assessment .......................... 671

Data Analysis and Displays

8

24

80

6845

6

s 12

Word problems used to confuse me. Now I

understand how to look for patterns and what

the question is asking!

“ “

xix

Section A.1 Literature Project .........................................A2 Section A.2 History Project .............................................. A4 Section A.3 Art Project ........................................................ A6 Section A.4 Science Project ............................................. A8

Selected Answers ..................................................................A10Key Vocabulary Index .......................................................A65Student Index ..........................................................................A66Mathematics Reference Sheet ..................................B1

Appendix A: My Big Ideas Projects

x

.

.

.

.

AAAA.

A2

xix

.A2A4A6A8

A10A6655A66.B1