Foundations for Functions o The Language and Tools of · PDF file2-5 Solving Equations with the Variable on Each Side. .5'D.'7 ... %y Solving Linear inequalities ... 6-5 Solving Open

(dUmu>^ A<6 'Foundations for Functions

200%)

o

Prerequisite Skills• Get Ready for Chapter 1 5• Get Ready for the Next Lesson

9, 14, 20, 25, 31, 37, 44, 52

Reading and Writing Mathematics• Reading Math 38• Vocabulary Link 26, 33• Writing in Math 9,14,19, 25,31,

37, 44, 52, 58

Standardized Test Practice• Multiple Choice 9,14, 20, 25, 31,

37, 42, 44, 52, 58• Worked Out Example 41

H.O.T. ProblemsHigher Order Thinking• Challenge 14,19,24,31,37,44,

52,58• Find the Error 13, 30• Open Ended 9,14, 19, 25, 30, 37,

44, 52, 58• Reasoning 9,19,25,30,44,58• Which One Doesn't Belong? 37

v i i i

The Language and Toolsof Algebra1 - 1 V a r i a b l e s a n d E x p r e s s i o n s . , ? . W A 6

1 - 2 O r d e r o f O p e r a t i o n s . . W % . y . & Q . a 1 °

1 - 3 O p e n S e n t e n c e s . . 5 0 3 1 5

1-4 Identity and Equality Properties. .W.'.r?.). J./.;T 21

1-5 The D is t r ibu t i ve Proper ty . . & / .?J . .U .J . 26

M i d - C h a p t e r Q u i z 3 21-6 Commutative and Associative Properties. 6? J. ^ /. 1 J.". 33

Reading Math: Arguments with Propertieso f R e a l N u m b e r s 3 8

1-7 Logical Reasoning and Counterexamples.. I .T.V.^ 39k'mmvtn* Algebra Lab: Logic and Properties of Numbers 45

1 - 8 N u m b e r S y s t e m s . . 1 P . # J . 1 Q 2 ? 4 6

1 - 9 F u n c t i o n s a n d G r a p h s . . . W Q A 5 3frffnfir.raal Algebra Lab: Investigating Real-World Functions ... 59

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 6 0P r a c t i c e T e s t 6 5

S t a n d a r d i z e d T e s t P r a c t i c e 6 6* For formative and summative assessment options,

s e e p a g e 5 . ^ ^ g f j a f c y - ~

U Solving Linear Equation2 - 1 W r i t i n g E q u a t i o n s . . 5 7 2 . ? s 7 1

jl Algebra Lab: Solving Addition andS u b t r a c t i o n E q u a t i o n s 7 7

2-2 Solving Equations by Using Addition and Subtraction. 5. Q .4.. 78

2-3 Solving Equations by Using Multiplication and Division .50.^85

HP Algebra Lab: Solving Multi-Step Equations 912 - 4 S o l v i n g M u l t i - S t e p E q u a t i o n s . . . 5 ~ Q . J . 9 2

2-5 Solving Equations with the Variable on Each Side. .5'D.'7... .98

M i d - C h a p t e r Q u i z 1 0 42 -6 Ra t i os and P ropo r t i ons . . 3J .O . j . . 5 . 0 / ] 105

2 - 7 P e r c e n t o f C h a n g e . . . 2 ) . 7 . , . . 5 0 ! 7 I l lReading Math: Sentence Method and Proportion Method... 116

2-8 Solving for a Specific Variable .. 5D.% 5£?.7 in

2 - 9 W e i g h t e d A v e r a g e s . . . ) . Q . O . \ . 1 2 2

2£P Spreadsheet Lab: Weighted Averages 129ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 1 3 0P r a c t i c e T e s t 1 3 5

S t a n d a r d i z e d T e s t P r a c t i c e 1 3 6* For formative and summative assessment options,

see page 69.


76, 84, 90, 97, 103, 110, 115, 121

Reading and Writing Mathematics• Reading Math 116• Vocabulary Link 106• Writing in Math 76, 83, 90, 96, 102,

110, 115, 121, 128

Standardized Test Practice• Multiple Choice 76, 84, 90, 97, 103,

110, 115, 121, 128• Worked Out Example 100

H.0J. ProblemsHigher Order Thinking• Challenge 75, 83, 89, 96,102, 110,

114, 121, 128• Find the Error 90,115• Open Ended 75, 83, 89, 96, 102,

110, 114, 121, 128• Reasoning 89, 96, 102, 110, 121• Which One Doesn't Belong? 83

Linear Functions

{£) Functions and PatternsAlgebra Lab: Modeling Relations ..

3-1 Representing Relations... J 5 .P. I

3-2 Representing Functions... I.v. .Q.5k

3-3 Linear Functions.. \. .v.Q. w


148, 154, 161, 170

Reading and Writing Mathematics• Reading Math 171• Writing in Math 148,154,160,

170, 176

Standardized Test Practice• Multiple Choice 148,154,161,

170, 176• Worked Out Example 151

H.O.T. ProblemsHigher Order Thinking• Challenge 148,154,160,169, 176• Find the Error 170• Open Ended 148,154,160,

169, 176• Reasoning 154,160

Graphing Calculator Lab: GraphingLinear Functions

Mid-Chapter Quiz3-4 Arithmetic Sequences.. .6?.\3.

Reading Math: Reasoning Skills

3-5 Proportional and Nonproportional Relationships .! 50 2>.

ASSESSMENT *

Study Guide and ReviewPractice Test

Standardized Test Practice* For formative and summative assessment options,

see page 141.

UP Analyzing Linear EquationsnExpldre4-l Algebra Lab: Steepness of a line4-1 Rate of Change and Slope ... 5~f Q

4-2 Slope and Direct Variation ... 5*1 P

I Graphing Calculator Lab: InvestigatingSlope-Intercept Form

4-3 Graphing Equations in Slope-Intercept Form..5lP.

['Extend 4-3 Graphing Calculator Lab: The Family ofLinear Graphs 5 \Q

Mid-Chapter Quiz4-4 Writing Equations in Slope-Intercept Form.. S \Q..

iiiMtvMwiiriu hi rrra fi itKHJiial Ufal4-5 Writing Equations in Point-Slope Form... 5 JO 220

Reading Math: Understanding the Questions 2264-6 Statistics: Scatter Plots and Lines of Fit. .5P."7^) .9.Q3. .227

| KMedian-Fit Lines

4-7 Geometry: Parallel and Perpendicular Lines.....(.'?.

ASSESSMENT *



see page 185.


195, 202, 209, 218, 225, 233, 241

Reading and Writing Mathematics• Reading Math 226• Vocabulary Link 189, 216• Writing in Math 195,202,209,218,

225, 233, 241

Standardized Test Practice• Multiple Choice 195,202,209,216,


H.O.T. ProblemsHigher Order Thinking• Challenge 194, 195, 202, 208, 218,

225, 233, 241• Find the Error 195, 224• Open Ended 194, 202, 208, 218,

225, 233, 241• Reasoning 218,233• Which One Doesn't Belong? 202

f̂ Solving Systems of Linear Equations


258, 265, 270, 278

Reading and Writing Mathematics• Reading Math 279• Writing in Math 258,265,270,

277, 290

Standardized Test Practice• Griddable 265• Multiple Choice 258,265,270,275,


H.O.T. ProblemsHigher Order Thinking• Challenge 257,265,270,277• Find the Error 264,277• Open Ended 257,265,270,

277, 284• Reasoning 258,277• Which One Doesn't Belong? 284

Spreadsheet Lab: Systems of Equations 2525-1 Graphing Systems of Equat ions.. .v, .?.?s. 253

Graphing Calculator Lab: Systems of Equations. .2595 - 2 S u b s t i t u t i o n L P . & ? > . 2 6 0

5-3 Elimination Using Addition and Subtraction. .LP.Q. «?V\ 266

M i d - C h a p t e r Q u i z 2 7 15-4 Elimination Using Multiplication .. .6? .0 A 272

R e a d i n g M a t h : M a k i n g C o n c e p t M a p s 2 7 95-5 Applying Systems of Linear Equations . .(p.Q.'?- 280

ASSESSMENT *


S t a n d a r d i z e d T e s t P r a c t i c e 2 9 0* For formative and summative assessment options,

see page 251.

-

%y Solving Linear inequalities6-1 Solving Inequalities by Addition and Subtraction.. 5~P g^. .5^

^ k ^ ^ * A l g e b r a L a b : S o l v i n g I n e q u a l i t i e s 3 0 o6-2 Solving Inequalities by Multiplication and Division . 5Qg,.SJjf7

6-3 Solving Multi-Step Inequalities... ^§ 4. 5E> ^ 30gRead ing Ma th : Compound S ta temen ts . ' ' 314

6-4 Solving Compound Inequali t ies.. .6? Q .4. 315

Mid-Chapter Quiz6-5 Solving Open Sentences Involving Absolute Value. 5Ql4SEfc£

1 Graphing Calculator Lab: Graphing AbsoluteV a l u e F u n c t i o n s _ , .

3286-6 Solving Inequalities Involving Absolute Value G.Q 4,5£> I 329

6-7 Graphing Inequalities in Two Variables ..$T6?^.k..O.M:. 334

fca&M££* Graphing Calculator Lab: Graphing Inequalities.. .3406-8 Graphing Systems of Inequalities .. .6? 0s3 341

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 3 4 6Practice Test

S t a n d a r d i z e d T e s t P r a c t i c e 3 „k For formative and summative assessment options

see page 293.


299, 307, 313, 320, 327, 345

Reading and Writing Mathematics• Reading Math 314,315,316• Writing in Math 298,307,313,319,

327, 338, 344


328, 339, 345• Worked Out Example 304

H.O.T. ProblemsHigher Order Thinking• Challenge 298,306,312,319,327,

338, 344• Find the Error 307, 327, 344• Open Ended 298, 306, 312, 319,

327, 338, 344• Reasoning 298,306,312,319,

327, 338• Which One Doesn't Belong? 313

Poiynomiais and Nonlinear Functions

frf Polynomials


364, 375, 381, 388, 395, 403

Reading and Writing Mathematics• Reading Math 374• Writing in Math 363,373,380,388,

394, 403, 408

Standardized Test Practice• Griddable 371• Multiple Choice 363,373,381,388,



402, 406• Find the Error 363,373,387• Open Ended 363,372,380,387,

394, 403, 408• Reasoning 363,372,380,387,

402, 408

>:j.\riExtend7-1

7 - 1 M u l t i p l y i n g M o n o m i a l s ? . . ' . \ 3 5 8

Algebra Lab: Investigating Surface Areasa n d V o l u m e s 3 6 5

7 - 2 D i v i d i n g M o n o m i a l s ? ? . ! ) 3 6 6Reading Math: Mathematical Prefixes and Everyday Prefixes 374

[Txplore 7-3

"Deplore 7-<

Algebra Lab: Polynomials7-3 Polynomials.... $1 fe

j) Algebra Lab: Adding and SubtractingP o l y n o m i a l s 3 8 2

7-4 Adding and Subtracting Polynomials.. .P.. \J 384

M i d - C h a p t e r Q u i z 3 8 97-5 Multiplying a Polynomial by a Monomial... 5. U 390

„JJ Algebra Lab: Mult iplying Polynomials 3967 - 6 M u l t i p l y i n g P o l y n o m i a l s . . . . 5 J . ) 3 9 87 - 7 S p e c i a l P r o d u c t s . . . . ? . ) . { 4 0 4

ASSESSMENT *


S t a n d a r d i z e d T e s t P r a c t i c e 4 1 6* For formative and summati

• • ' • • . * - • •■ . . . • _

<&£&

(jjP Factoring8-1 Monomials and Factoring... .5 \$m

nE^orftSS.' Algebra Lab: Factoring Using theDistributive Property

8-2 Factoring Using the Distributive Property...??. 13*...

txplbre$3 I Algebra Lab: Factoring Trinomials8-3 Factoring Trinomials: x2 + bx + c.... 5.1 .?*

Mid-Chapter Quiz8-4 Factoring Trinomials: ax2 + bx + c... 5. \ .?r

8-5 Factoring Differences of Squares.... 5.! .<VReading Math: Proofs

8-6 Perfect Squares and Factoring... 5.! .*k

ASSESSMENT *



see page 419.

*


423, 430, 439, 446, 452


452, 460



HOT- ftoblem:Higher Order Thinking• Challenge 423,430,439,445,

451, 460• Find the Error 439,446,451• Open Ended 423, 430, 438, 445,

451, 460• Reasoning 423,430,438,452,459• Which One Doesn't Belong? 460

HI Quadratic and Exponential Functions


477, 485, 491, 499, 508

Reading and Writing Mathematics• Writing in Math 477,485,491,498,

508, 514



H.O.T. ProblemsHigher Order Thinking• Challenge 477,484,490,498,507• Find the Error 498, 507• Open Ended 476,484,490,498,

507, 514• Reasoning 476,477,485,490,498,

507, 514• Which One Doesn't Belong? 490

Jt&M&fi Graphing Calculator Lab: Exploring Graphs ofQ u a d r a t i c F u n c t i o n s 4 7 0

9 - 1 G r a p h i n g Q u a d r a t i c F u n c t i o n s . . . . 1 5 P fi 4 7 1

\jt* ■ Graphing Calculator Lab: The Family ofQ u a d r a t i c G r a p h s 4 7 8

9-2 Solving Quadratic Equations by Graphing . 6.0.1. j. l*??.^. .480

9-3 Solving Quadratic Equations by Completing the Square, ip. 9.k

M i d - C h a p t e r Q u i z 4 9 29-4 Solving Quadratic Equations by Using the /

Q u a d r a t i c F o r m u l a Y ? Q J . 4 9 3

[TxTenoTF i - < - i » j ! '■■ 1 1 ^ w . 1 1 1 1 k ' i 1 1 \ \ m w 1 1 K r i \ r . 1 1 \ m m i 1 1 k 1

9-5 Exponential Functions 1.5OS"

txpiore 9-£ MMoTlffliHRHfflH9-6 Growth and Decay O.U.S.

ASSESSMENT *



see page 469.

.... 517

.... 521

. . . 5 2 2

Advanced Expressions and Data Analysis

^ Radical Expressionsand Triangles10-1 Simpl i fy ing Radica l Express ions . M\ M 528

1 Graphing Calculator Lab: Fractional Exponents... 535

10-2 Operations with Radical Expressions.. 5.1 7a 536

1 0 - 3 R a d i c a l E q u a t i o n s . . . S . V V ? 5 4 1

Graphing Calculator Lab: Graphs ofR a d i c a l E q u a t i o n s 5 4 7

M i d - C h a p t e r Q u i z 5 4 81 0 - 4 T h e P y t h a g o r e a n T h e o r e m 1 . 1 . . 1 5 4 9

1 0 - 5 T h e D i s t a n c e F o r m u l a . . . J . ! . 1 5 5 5

1 0 - 6 S i m i l a r T r i a n g l e s . . . I t f C , . / 7 . Q . 7 5 6 0Reading Math: The Language of Mathematics 566ASSESSMENT *


S t a n d a r d i z e d T e s t P r a c t i c e 5 7 2

For formative and summative assessment options,


534, 540, 546, 554, 559


559, 564


554, 559, 5641 Worked Out Example 550

H.O.T. ProblemsHigher Order Thinking• Challenge 533,539,545,554,

559, 564• Find the Error 545,564• Open Ended 533,540,545,554,

558, 564• Reasoning 533,545,554,562,

559, 564

fjj Rational Expressions and Equations


582, 588, 594, 599, 606, 613, 619,625, 632

Reading and Writing Mathematics• Reading Math 600• Writing in Math 582, 587, 593, 599,

606, 613, 618, 625, 632

Standardized Test Practice• Multiple Choice 582, 588, 594, 599,

606, 613, 619, 632


612, 618, 624, 631• Find the Error 593, 612, 624• Open Ended 581,587,593,599,

606, 612, 618, 624, 631• Reasoning 581,587,599,631• Which One Doesn't Belong? 606

fejiiote JM Graphing Calculator Lab: Inverse Variation 5761 1 - 1 I n v e r s e V a r i a t i o n ( & \ * \ . 5 7 7

1 1 - 2 R a t i o n a l E x p r e s s i o n s . . . f o . I £ ~ . 5 8 3

) Graphing Calculator Lab: Rational Expressions ... 58911-3 Mul t ip ly Rat ional Expressions. . . .5 . 15T. 590

11-4 D iv id ing Ra t iona l Exp ress ions . 3 . i r& 595R e a d i n g M a t h : P o s i t i o n o f S y m b o l s 6 0 0

1 1 - 5 D i v i d i n g P o l y n o m i a l s . . . r ? . 1 . 1 6 0 1

M i d - C h a p t e r Q u i z 6 0 711-6 Rational Expressions with Like Denominators. .*Jr? 608

11-7 Rational Expressions with Unlike Denominators ,5j.? 614

11-8 Mixed Expressions and Complex Fractions, .fi/.^. 620

11-9 Rational Equations and Functions.. .& I *4.. £?./ 626

A S S E S S M E N T * / S 2 ? 6

S t u d y G u i d e a n d R e v i e w 6 3 3Practice Test 637S t a n d a r d i z e d T e s t P r a c t i c e 6 3 8

For formative and summative assessment ootinnssee page 575.

(y Statistics and Probability1 2 - 1 S a m p l i n g a n d B i a s . . J . l 9 5 6 4

R e a d i n g M a t h : S u r v e y Q u e s t i o n s 6 41 2 - 2 C o u n t i n g O u t c o m e s . . . . W P . . ( 6 !

1 2 - 3 P e r m u t a t i o n s a n d C o m b i n a t i o n s . . J M P. ' J 6 !

1 2 - 4 P r o b a b i l i t y o f C o m p o u n d E v e n t s . . . J . I . Q j & 6€

M i d - C h a p t e r Q u i z 6 1

1 2 - 5 P r o b a b i l i t y D i s t r i b u t i o n s . . . 1 \ Q % . 6 3

1 2 - 6 P r o b a b i l i t y S i m u l a t i o n s . . . . J . a S * ! * 6 1

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 6 fiP r a c t i c e T e s t 6 fi

S t a n d a r d i z e d T e s t P r a c t i c e 6 S* For formative and summative assessment options,

see paqe 641.

Student HandbookBuilt-in Workbooks

P r e r e q u i s i t e S k i l l s 6 9

E x t r a P r a c t i c e 7 1

M i x e d P r o b l e m S o l v i n g 7 4

P r e p a r i n g f o r S t a n d a r d i z e d T e s t s 7 5Reference

E n g l i s h - S p a n i s h G l o s s a r y R

S e l e c t e d A n s w e r s R 2

P h o t o C r e d i t s R 6

I n d e x R 6


648, 654, 661, 669, 676

Reading and Writing Mathematics• Reading Math 649• Vocabulary Link 665• Writing in Math 647,654,661,669,

676, 682

Standardized Test Practice• Multiple Choice 648,654,661,


H.O.T. ProblemsHigher Order Thinking• Challenge 642,654,661,669,

676, 682• Find the Error 661,669• Open Ended 647, 654, 661, 669,

675, 682• Reasoning 647,669• Which One Doesn't Belong? 661

Documents

Foundations for Functions o The Language and Tools of · PDF file2-5 Solving Equations with the Variable on Each Side. .5'D.'7 ... %y Solving Linear inequalities ... 6-5 Solving Open