Foundations for Functions. f The Lanpage aito1 Tools. V ofalgebifa. o<?) M i d - C h a p t e r Q u i z 3 2
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1 Foundations for Functions o<?) f The Lanpage aito1 Tools V ofalgebifa y T O Z. 1-1 V a r i a b l e s a n d E x p r e s s i o n s < / f / l * " 2 O r d e r * O p e r a t i o n s M S " 0 b f y 1-3 O p e n S e n t e n c e s 1 5 S " 0 V! " 4 I d e n t i t y a n d E q u a l i t y P r o p e r t i e s 2 1 / / 7 *? I I 1-5 T h e D i s t r i b u t i v e P r o p e r t y 2 6 M i d - C h a p t e r Q u i z 3 2 I I Q S* t 1_6 Commutative and Associative Properties 33 Reading Math: Arguments with Properties o f R e a l N u m b e r s Logical Reasoning and Counterexamples 39 / / 9 H^ C3SB9 Algebra Lab: Logic and Properties of Numbers 45 P r e r e q u i s i t e S k i l l s f ^ ) / 0 f v! * N u m b e r S y s t e m s ; 4 6 G e t R e a d y f o r C h a p t e r 1 5 / 5 " 0 1 I ' 1 _ 9 F u n c t i o n s a n d G r a p h s 5 3 { jrefffftflkb Algebra Lab: Investigating Real-World Functions ,14,20,25,31,37,44,52 ******** * R e a d i n g a n d W r i t i n g M a t h e m a t i c s s t u d y G u i d e a n d R e v i e w 6 0 R e a d i n g M a t h 3 8 I _.. _. «,,.., I P r a c t i c e T e s t..... :» 6 5 V o c a b u l a r y L i n k 2 6, 3 3 I Writing in Math 9,14,19,25, 31, Standardized Test Practic^,^ ^' g g - -^^ -^ v. 37'44'52'58 I *Fprfprp^ Multiple Choice 9,14,20,25,31, 37, 42,44, 52, 58 Worked Out Example 41 MUX Problems 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 viii
2 fj Solving Unear Equations son 2-1 Writing Equations Algebra Lab: Solving Addition and Subtraction Equations 2-2 Solving Equations by Using Addition and Subtraction 2-3 Solving Equations by Using Multiplication and Division Explore' Solving Multi-Step Equations I'Jnlll'liil'll'Wi.^lgiirEiiriTiEl 2-5 Solving Equations with the Variable on Each Side Mid-Chapter Quiz 2-6 Ratios and Proportions 2-7 Percent of Change Reading Math: Sentence Method and Proportion Method Solving for a Specific Variable 2-9 Weighted Averages 3j) Spreadsheet Lab: Weighted Averages Study Guide and Review Practice Test see page >50H 85 SO 4 f 92 So C 7 104,05 *l*.11 */2~ * so q ) $0 z r Get Ready for Chapter , 84, 90, 97, 103, 110, 115, 121 Reading Math 116 Vocabulary Link 106 Writing in Math 76,83, 90,96,102, 110, 115,121,128 Multiple Choice 76,84, 90, 97,103, 110,115, 121,128 Worked Out Example *«*ta, _ - ~... H.O.T. Problems Challenge 75,83,89,96,102,110, 114,121,128 Find the Error 90,115 Open Ended 75, 83, 89, 96,102, 110, 114, 121, 128 Reasoning 89,96,102,110,121 Which One Doesn't Belong? 83
3 Linear Functions 0 Functions antf Patterns Algebra Lab: Modeling Relations 3-1 Representing Relations 3-2 Representing Functions 3-3 Linear Functions 142 t<fo ~2-149 /S^O / 155 />o 3 Get Ready for Chapter , 154,161, 170 Reading Math 171 Writing in Math 148,154,160, 170,176 Multiple Choice 148,154,161, 170,176 Worked Out Example 151 Graphing Calculator Lab: Graphing ; Functions Mid-Chapter Quiz 3-4 Arithmetic Sequences Reading Math: Reasoning Skills 3-5 Proportional and Nonproportional Relationships... Study Guide and Review Practice Test see page 141., '..': :,,-^W?^ :-<yy /so» 165 / ^ < J * 171, /^OZ- pp^^f^^r^^^'- aatprobitttis Challenge 148,154,160,169,176 Find the Error 170 Open Ended 148,154,160, 169, 176 Reasoning 154,160
4 <&ffi& Q Analyzing Linear Equations ExplrirelPi, Algebra Lab: Steepness of a line 4-1 Rate of Change and Slope 4-2 Slope and Direct Variation C i D Graphing Calculator Lab: Investigating Slope-Intercept Form 4-3 Graphing Equations in Slope-Intercept Form t ii o^ i 1xtend4^ Graphing Calculator Lab: The Family of is l<$g «> Mid-Chapter Quiz 4-4 Writing Equations in Slope-Intercept Form. Graphing Calculator Lab: Step Functions Writing Equations in Point-Slope Form Reading Math: Understanding the Questions 4-6 Statistics: Scatter Plots and Lines of Fit Graphing Calculator Lab: Regression and Median-Fit Lines 4-7 Geometry: Parallel and Perpendicular Lines../l.r.rf. jf' ^ Study Guide and Review Practice Test epage185, : ;; I o o ~b t o o 3 Get Ready for Chapter , 202, 209, 218, 225, 233, 241 Reading Math 226 Vocabulary Link 189,216 Writing in Math 195,202,209,218, 225, 233, 241 :'';'>.':. -'-; " ' *\~S 1 y \vt iyy--- Multiple Choice 195,202,209,216, 218, 225, 233, 241 Worked Out Example 214 HMX Problems 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
5 0 Solving Systems of Linear Equations Get Ready for Chapter , 265, 270, 278 Spreadsheet Lab: Systems of Equations 252 U o z G r a p h i n g S y s t e m s o f E q u a t i o n s : ~j Graphing Calculator Lab: Systems of Equations S u b s t i t u t i o n ( * Elimination Using Addition and Subtraction.. Jr. vr.. fe M i d - C h a p t e r Q u i z 2 7 T 5-4 Elimination Using Multiplication fr.m7r...ui Reading Math: Making Concept Maps Applying Systems of Linear Equations V? P.. h S t u d y G u i d e a n d R e v i e w Practice Test see page 251. Reading Math 279 Writing in Math 258,265,270, 277,290 Griddable 265 Multiple Choice 258,265,270,275, 278, 284 Worked Out Example 274 H.CXt. Problems, 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
6 fp Solving Linear Inequalities 6-1 Solving Inequalities by Addition and Subtraction 294 Algebra Lab: Solving Inequalities Solving Inequalities by Multiplication and Division S o l v i n g M u l t i - S t e p I n e q u a l i t i e s Reading Math: Compound Statements S o l v i n g C o m p o u n d I n e q u a l i t i e s ,0 CsO 7 M i d - C h a p t e r Q u i z Solving Open Sentences Involving Absolute Value 322 Graphing Calculator Lab: Graphing Absolute V a l u e F u n c t i o n s Solving Inequalities Involving Absolute Value Graphing Inequalities in Two Variables 334 TExlemf6-7 Graphing Calculator Lab: Graphing Inequalities G r a p h i n g S y s t e m s o f I n e q u a l i t i e s S t u d y G u i d e a n d R e v i e w Practice Test i.;; ;".':^f* 'i^^ \Wh ffl J\\r\ h'l mm' yf MliMMtjUffi^^^fi RMtMaiiMiiIimnfliKi... ', ' ;-! &&&yy*' 403 Get Ready for Chapter , 307, 313, 320, 327, 345 Reading Math 314,315,316 Writing in Math 298,307,313,319, 327, 338, 344 Multiple Choice 299,307,313,320, 328, 339, 345 Worked Out Example 304 H.OX Problems 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
7 ::' Polynomials and Nonlinear Functions Q Polynomials 7-1 M u l t i p l y i n g M o n o m i a l s Algebra Lab: Investigating Surface Areas a n d V o l u m e s a 6. j D i v i d i n g M o n o m i a l s S T / / Reading Math: Mathematical Prefixes and Everyday Prefixes 374 Algebra Lab: Polynomials &.1M P o l y n o m i a l s & T. ( A i Algebra Lab: Adding and Subtracting P o l y n o m i a l s G T. t J Adding and Subtracting Polynomials... 4f. /. 384 Get Ready for Chapter , 375, 381, 388, 395, 403 Reading Math 374 Writing in Math 363,373,380,388, 394, 403, 408 Griddable 371 Multiple Choice 363,373,381,388, 395, 403, 409 Worked Out Example 370 M i d - C h a p t e r Q u i z Multiplying a Polynomial by a Monomial....(./. 390 Explore M u l t i p l y i n g P o l y n o m i a l s. :...'..: S p e c i a l P r o d u c t s - :././ 404 Study Guide and Review Practice Test 416 ' ' ' '-.. - * RaT. Problems Challenge 363,372,380,388,394, 402, 406 Find the Error 363,373,387 Open Ended 363,372,380,387, 394, 403, 408 Reasoning 363,372,380,387, 402,408
8 <&&E2& fp Factoring 8-1 Monomials and Factoring... < 4' 1 c I *" I rm Kli lititit D i s t r i b u t i v e P r o p e r t y I» ^ 8-2 Factoring Using the Distributive Property 5.. (. rr * Algebra Lab: Factoring Trinomials ?* Factoring Trinomials: x2 + bx + c?.}.h 434 M i d - C h a p t e r Q u i z \ Factoring Trinomials: ax2 + bx + c?.. /."?? Factoring Differences of Squares.T /.?: 447 R e a d i n g M a t h : P r o o f s Perfect Squares and Factoring A.J S t u d y G u i d e a n d R e v i e w Practice Test see page 419. c Get Ready for Chapter , 430, 439, 446, 452 Reading Math 453 Writing in Math 423,430,439,446, 452, 460 Multiple Choice 423,430,439, 446, 452, 460 Worked Out Example 449 aoxprobterm 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
9 c&ffifr 0t Quadratic and lipeneittial FhkHdk jg Graphing Calculator Lab: Exploring Graphs of Q u a d r a t i c F u n c t i o n s > 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 y. 9.. \ Extend "Tffl 9-1 Graphing Calculator Lab: The Family of J Q u a d r a t i c G r a p h s Solving Quadratic Equations by Graphing..J.S.P.ri- 480 ^ I 9-3 Solving Quadratic Equations by Completing the Square 486 (#0 1 M i d - C h a p t e r Q u i z S o l v i n g Q u a d r a t i c E q u a t i o n s b y U s i n g t h e / q / Q u a d r a t i c F o r m u l a Extend 9-4 JZ;.^lt3TlSH^iMppSljMw^'' 9-5 E x p o n e n t i a l F u n c t i o n s /. - 3 T. k J Algebra Lab: Investigating Exponential Functions G r o w t h a n d D e c a y t. > r! & Get Ready for Chapter ,485, 491,499, 508 Writing in Math 477,485,491,498, 508, Graphing Calculator Lab: Curve Fitting 515 S t u d y G u i d e a n d R e v i e w Practice Test ^ ' V For formative and summative assessm^^rj tob see page y Multiple Choice 475,477,485,491, 499,508,514 Worked Out Example 474 H.OX Challenge 477,484, ,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
10 Advanced Expressions and Data Analysis esffifc Radical Expressions 5" J S i m p l i f y i n g R a d i c a l E x p r e s s i o n s 'Extend i'o-l Graphing Calculator Lab: Fractional Exponents Operations with Radical Expressions v?. /.V R a d i c a l E q u a t i o n s "Extend ib-3 Graphing Calculator Lab: Graphs of R a d i c a l E q u a t i o n s 0. / M i d - C h a p t e r Q u i z T h e P y t h a g o r e a n T h e o r e m 3. '.. / T h e D i s t a n c e F o r m u l a 7 2. J " i r T r i a n g l e s T j - C U f c Reading Math: The Language of Mathematics...'. 566 S t u d y G u i d e a n d R e v i e w Practice Test *>ve and summative assessment options, toil Get Ready for Chapter , 540, 546, 554, 559 Reading Math 566 Writing in Math 533,540,545,554, 559, 564 Multiple Choice 534,540,546,552, 554, 559, 564 Worked Out Example 550 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
11 < & (J Rational Expressions and Equations jt/& Graphing Calculator Lab: Inverse Variation Inverse Variation /..«T./ R a t i o n a l E x p r e s s i o n s '. /.. r. : Graphing Calculator Lab: Rational Expressions Multiply Rational Expressions...,*?T/ Dividing Rational Expressions Jr...?. 595 Reading Math: Position of Symbols ' D i v i d i n g P o l y n o m i a l s 3 7 /. ^ M i d - C h a p t e r Q u i z Rational Expressions with Like Denominators..:...: Rational Expressions with Unlike Denominators, /.? Mixed Expressions and Complex Fractions T.!..? Rational Equations and Functions..:.?.^/P./A.626 Get Ready for Chapter , 588, 594, 599, 606, 613, 619, 625, 632 S t u d y G u i d e a n d R e v i e w Practice Test 637. v...; ' see page 575. Reading Math 600 Writing in Math 582,587,593,599, 606, 613, 618, 625, 632 Multiple Choice 582,588,594,599, 606,613,619,632 HAttetim Challenge 581,587,593,599,606, 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
12 tfm Statistics and Probability 10 I ^> S a m p l i n g a n d B i a s 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 C o u n t i n g O u t c o m e s '. '. i P. 1 C Permutations and Combinations '. H.Q Probability of Compound Events...//. 6. /..j. // 6 % M i d - C h a p t e r Q u i z Probability Distributions... /ftj.x%.).. IL 9.%.>..! 1.? Probability Simulations /.!/?.1\..0.. / 677 ASSESSMENT* '/(<>*, ),D^ ^ S t u d y G u i d e a n d R e v i e w Practice Test see paqe 641. Student Handbook Built-in Workbooks Extra Practice Mixed Problem Solving Get Ready for Chapter , 654, 661, 669, 676 Reference 4* Preparing for Standardized Tests ^Spanish Glossary....- v.-;<"' -yy Reading Math 649 Vocabulary Link 665 Writing in Math 647,654,661,669, 676, 682 Multiple Choice 648,654,661, 667, 669, 676, 683 Worked Out Example 666 '" r& '. ' " ritasl H.O.T. Problems 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 'ill»
Foundations for Functions
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