First Degree Equations And Inequalities 0 Equations And .
First Degree Equations and Inequalities0Equations and Inequalities1-1 '"* D asNumbersEquations6H18- 7 d I 1 - 4 S o l v i n g A b s o l u t e Va l u e E q u a t i o n s 2 732Mid-Chapter Quiz331-5 Solving Inequalities\.40SOr(j2 Reading Math: Interval Notationd tyl f ]"6 Solvin8 Compound and Absolute Value Inequalities 416 iewTe s tReading and Writing Mathematics Reading Math 40 Vocabulary Link 19,41,42 Writing in Math 10, 17, 26, 31,39,47 Reading Math Tips 12,35,43Standardized Test Practice Multiple Choice 10, 17, 21, 23,26,31, 32, 39, 48, 53, 54, 55H.O.T. ProblemsHigher Order Thinking Challenge 10,17,26,31,38,47 Find the Error 25, 47 Open Ended 10,17,26,31,38,47 Reasoning 10,17,26, 38viiiBryan Putorjon/Gstly Imagessee page 5. -4953Practice* For formative and summative assessment options,Prerequisite Skills Get Ready for Chapter 1 5 Get Ready for the Next Lesson10, 17, 26, 31, 39 Te s t54
& &Q Linear Relations and Functions/ S'O *" JO 2-1 Relations and FunctionsReading Math: Discrete and Continuous Functions in theReal World2-2J 10LinearEquations2-3.66Slope71Graphing Calculator Lab: The Family ter2-5Statistics:QuizUsingScatter787985Plots86 JSJMBr Graphing Calculator Lab: Lines of Regression 922-6SpecialFunctions.[.,.;95too 52-7 Graphing Inequalities. .Q.m. 102ASSESSMENT *StudyGuidePractice TestandReview106IllStandardized Test PracticeFor formative and summative assessment options,see page 57. \yyyyW*yM* ' , f',V Reading and Writing Mathematics Reading Math 65 Writing in Math 64,70,76,84,91,101, 105i 1 \ J.IPrerequisite Skills Get Ready for Chapter 2 57 Get Ready for the Next Lesson64, 70, 77,84, 91, 101 Reading Math Tips 61,74,87Standardized Test Practice Multiple Choice 64,70,77,82,84,85, 91, 101, 105, 111, 112, 113 Worked Out Example 80ROT. ProblemsHigher Order Thinking Challenge 64,70,76,84,90,100,105 Find the Error 64,76 Open Ended 64,70,76,84,91,100 Reasoning 70,76,84,100,105
& f fi &0 Systems of Equations and Inequalities3-1 Solving Systems of Equations by Graphing 1163-2 Solving Systems of Equations Algebraically .ft.Y. 1233-3 Solving Systems of Inequalities by Graphing Xfi 0. . 130Graphing Calculator Lab: Systems of LinearInequalities.&.C.3Mid-ChapterQuiz.yI361373-4 Linear Programming '.7J. M./. 1383-5 Solving Systems of Equations in Three Variables. .(&D.4:. 145ASSESSMENT *StudyGuidePractice TestStandardizedandTe s tReview153157Practice158For formative and summative assessment options,see page 115.Prerequisite Skills Get Ready for Chapter 3 115 Get Ready for the Next Lesson122, 129,135, 144Reading and Writing Mathematics Writing in Math 122,129,135,144, 151 Reading Math Tips 131,138Standardized Test Practice Multiple Choice 122,127,129,135;137, 144, 151, 157, 158, 159 Worked Out Example 124KO.X ProblemsHigher Order Thinking Challenge 122,128, 135,144,151 Find the Error 128,151 Open Ended 121,128,134,143,151 Reasoning 121, 128,134,143,151 Which One Doesn't Belong? 144y2
Q Matrices4 - 1 I n t r o d u c t i o n t o M a t r i c e s t . . . . . . . T; 1 6 2 Spreadsheet Lab: Organizing Data. ./.#/ 168 I Li 4 - 2 O p e r a t i o n s w i t h M a t r i c e s ( / . P. 5 1 6 94-3 Multiplying Matrices Lp. .Q.-?. 1774-4 Transformations with Matrices. .Lt. .0.5./ .%0.\f. Q.D.{ .%1931942014-7 Identity and Inverse Matrices (# .Q. .9. 2084-8 Using Matrices to Solve Systems of Equations x,. \ !j. .t .;. 216JSBBJfr Graphing Calculator Lab: Augmented Matrices. .223ASSESSMENT*l 0 k01 StudyGuidePractice TestStandardizedandReview224229Te s tPractice230Prerequisite Skills Get Ready for Chapter 4 161 Get Ready for the Next Lesson167, 176, 184, 192, 200, 207, 215For formative and summative assessment options,see page 161.Reading and Writing Mathematics Writing in Math 166,175,183,191,199, 206, 214, 221 Reading Math Tips 162,163,185Standardized Test Practice Multiple Choice 167,176,184,189,192,193, 200, 207, 215, 222, 229,230, 231 Worked Out Example 186'r:y HJOX ProblemsHigher Order Thinking Challenge 166,175,183,191,199,206,214,221 Find the Error 199,221 Open Ended 166,175,183,191,206, 214, 221 Reasoning 183,191,199,206,214,221
Quadratic, Polynomial, and RadicalEquations and Inequalities"""- Quadratic Functionsand eading Math: Roots of Equations and Zerosof Functions t.S.Q. 4t.t.i.X.0.A 245 »/ /) / j*r o V5-2 Solving Quadratic Equations by Graphing M.k. . . fM, .246 jflfflP Graphing Calculator Lab: Modeling UsingQ u a d r a t i c F u n c t i o n s . . . . / . S T. O . t . 2 5 25-3 Solving Quadratic Equations by Factoring .A.Q.I. 253 /j / W»5-4PrerequisitePr e r e q u SkillsisiteSkills GetG Readye t Rfore aChapterdy f5o 235r Chapter 5 235I t5 Get ReadyG e tfor the NextR e Lessonadyforh -e5ComplexNumbers.6?.C?. Mid-ChapterQuiz5 5 c ,etin tne Square. .57.NextLesson //}259Z/267268244,251,258,266,275,283,292244,251, 258, 266, 275, 283, 292 I 5-6 The Quadratic Formula and the Discriminant. K. WJ. 276Reading and Writing Mathematics Reading Math 245 Writing in Math 243,251,258,266,275, 282, 292, 300 Reading Math Tips 246,260,261,276, 279Graphing Calculator Lab: Families of Parabolas. .2847 Analyzing Graphs of Quadratic Functions 286t Graphing Calculator Lab: Modeling Motion 293 8 Graphing and Solving Quadratic Inequalities 294ASSESSMENT *Standardized Test Practice Multiple Choice 243,251,258,266,Study267, 275, 283, 289, 292, 300, 307,308, 309 Worked Out Example 288Standardized Test Practice.HO.T. ProblemsHigher Order Thinking Challenge 243,251,258,265,275,282, 292, 300 Find the Error 257,274,292 Open Ended 243,250,258,265,274, 282, 292, 300 Reasoning 250,265,274,282,300 Which One Doesn't Belong? 265Donovan Reoso/Getty ImagosGuideandPractice TestReview302
p Polynomial Functions6-1 Properties of Exponents \*M. 312Reading Math: Dimensional Analysis.- 3196-2 Operations with Polynomials. J5X P.). J?.' 320S I "6-3DividingPolynomials3256 - 4 P o l y n o m i a l F u n c t i o n s „ ff . v.6-5 Analyzing Graphs of Polynomial Functions. (?.Q. 5 339Graphing Calculator Lab: Modeling Data Using i ) I U9. .,./.346Mid-ChapterQuiz3486-6 Solving Polynomial Equations . t - /#.,mX \ 349t ) 6-7 The Remainder and Factor Theorems (ft. / \ 3566-8RootsandZerosW.\. r3626-9 Rational Zero Theorem. b. t. 2 . L.,.) 369ASSESSMENT *StudyGuidePracticeandReviewTe s tStandardizedTe s tPractice* For formative and summative assessment options,see page 311.374379380Prerequisite Skills Get Ready for Chapter 6 311 Get Ready for the Next Lesson 318,324, 330, 338, 345, 355, 361, 368Reading and Writing Mathematics Reading Math 319 Writing in Math 317,323,330,337,344, 354, 361, 368, 373 Reading Math Tips 340,363Standardized Test Practice Multiple Choice 317,324,329,330,338, 345, 348, 355, 361, 368, 373,379, 380, 381 Worked Out Example 326' l '- ' y ': '"r'\* yy*: y 3 WBifH.OJ. ProblemsHigher Order Thinking Challenge 317,323,330,337,344,354, 361, 368,373 Find the Error 317,330,373 Open Ended 317,323,330,337,344, 354, 360, 368, 373 Reasoning 317,330,337,344,354,360, 368 Which One Doesn't Belong? 323
Q Radical Equations and Inequalities7-1 Operations on Functions 77.:. t 3847-2 Inverse Functions and Relations ./ ZT.P. .?r./ .P. /. 3917-3 Square Root Functions and Inequalities -«f.'.\4027-4 nth Roots f.TJ.9 ./.jMid-ChapterQuiz4077-5 Operations with Radical Expressions. .u/P.a.f . 74. .4087-6 Fractional Exponents k.P,,jBT.y. ?J.P. 4157-7 Solving Radical Equations and Inequalities, .j. 6?. /y. .All &Q\ Graphing Calculator Lab: Solving Radical * y" Equations and Inequalities 428 jASSESSMENT *Study Guide and Review 430PracticeTe s t435S t a n d a r d i z e d Te s t P r a c t i c e 4 3 6* For formative and summative assessment options,Prerequisite Skillssee page 383. Get Ready for Chapter 7 383 Get Ready for the Next Lesson390, 396, 401,406, 414, 421Reading and Writing Mathematics.: : -,- - ';': O " - Writing in Math 390,396,401,406,414, 421, 426 Reading Math Tips 392. , , , : ; ; ;Standardized Test Practice Multiple Choice 390,396,401,406,407, 414, 419, 421, 426, 435, 436,437 Worked Out Example 418'jfjlpPp8P «« I1 - : . ' , . y M . B B P P P ''* &* Itat ProblemsHigher Order Thinking Challenge 390,395,401,406,420,426 Find the Error 390,414 Open Ended 390,395,401,405,413, 420, 426 Reasoning 395,401,405,406,413,420, 421, 426 Which One Doesn't Belong? 426Mtuvtttmiu''X\Raymond Gehmar/COFBIS i
Advanced Functions and Relations'**"*. Rational Expressionsand Equations v8-1 Multiplying and Dividing Rational Expressions 4428-2 Adding and Subtracting Rational Expressions. .7. /. 7? 4508-3 Graphing Rational Functions. f. .5f. P. .fe 457' Graphing Calculator Lab: Graphing Rational Functions ./S?7. U.\# 4648-4 Direct, Joint, and Inverse Variation . /. y7?/. 5 465Mid-Chapter8-5ClassesofQuizFunctions472/ T ? fi . . /473//7\8-6 Solving Rational Equations and Inequalities. .vT/57. 479 5 O / O . 6 . , yExtend 8-6Equations and Inequalities with Graphs and TablesASSESSMENTStudy Guide and ReviewPractice TestStandardized Test PracticeFor formative and summative assessment options,see page 441.\ '--: .- -j w*' y H i -SSfPIIP&MtPrerequisite Skills Get Ready for Chapter 8 441 Get Ready for the Next Lesson449, 456,463, 471, 478Reading and Writing Mathematics Writing in Math 448,456,463,471,478,486Standardized Test Practice Multiple Choice 443,446,449,456,463,471, 472, 478, 486, 493,494, 495 Worked Out Example 443H.O.T. ProblemsHigher Order Thinking Challenge 448,455,462,463,471,477,478,485 Find the Error 455,485 Open Ended 448,455,462,471,477, 485 Reasoning 448,455,462 Which One Doesn't Belong? 448
t&tt&p0 Exponential and logarithmic Relations,9-1.Exponential1 * F0u *n c8t i o n s 4 9 *8wExtend 9-1 F littiM?1!Equations andInequalities507(jlIf9-2 Logarithms and Logarithmic Functions 509 , / & ?fjflBREB) Graphing Calculator Lab: Modeling Data usingExponentialFunctions!9-3 Properties of Logarithms . .& f.-?. 520Mid-ChapterQuiz 5279-4 Common Logarithms .W./.9 528tfgfMEEfr Graphing Calculator Lab: Solving Logarithmic / "Jm F a u a t i o n s a n d I n e q u a l i t i e s , . , 5 3 49-5 Baseeand Natural Logarithms .Reading Math: Double Meanings 5439-6 Exponential Growth and Decay.' r?. ?.). .k/&. 544Prerequisite Skills Get Ready for Chapter 9 497 Get Ready for the Next Lesson506, 517, 526, 533, 542Reading and Writing Mathematics Reading Math 543 Writing in Math 506,517,526,533,542, 549Standardized Test Practice Multiple Choice 506,517,526,527,533, 542, 546, 548, 550, 557, 558,559 Worked Out Example 546liQJ. ProblemsHigher Order Thinking Challenge 506,517,525,526,533,541, 549 Find the Error 516,541 Open Ended 505,516,533,541,549 Reasoning 506,525,526,533,549 Which One Doesn't Belong? 516 3gflBE Graphing Calculator Lab: Cooling. ). &&. 551ASSESSMENT *StudyPracticeandReviewTe s tStandardizedTe s tPractice* For formative and summative assessment options,seepageM\\wmp:\ WWyi ! 'fTff jfc i'ii! MW 'Jrrnftw 'Jim Cralflmlle/MaEle.'fileGuide497. 552557558
o S2&( Conic Sections10-1 Midpoint and Distance Formulas ore 10*:4 i Algebra Lab: Investigating Ellipses. .& O.wtMid-Chapter Quiz10-5 Hyperbolas U.Q.(f.y10-6 Conic Sections (&.0.&. *.!10-7 Solving Quadratic Systems . Q././. f.)ASSESSMENT *Study Guide and ReviewPractice TestStandardized Test Practice* For formative and summative assessment options,see page 561.Prerequisite Skills Get Ready for Chapter 10 561 Get Ready for the Next Lesson566, 573, 579, 588, 597, 602Reading and Writing Mathematics Writing in Math 566,573,579,588,596, 601, 608 Reading Math Tips 591,598Standardized Test Practice Multiple Choice 564,566,573,579,588,589, 597,602, 608, 615, 616,617 Worked Out Example 564H.O.T. ProNemsHigher Order Thinking Challenge 566,573,579,588,596,601, 607 Find the Error 573,579 Open Ended 566,573,579,587,596, 601, 607 Reasoning 566, 573, 579, 587, 596,601, 607 Which One Doesn't Belong? 608
Discrete MathematicsSequences and Series11-1 Arithmetic Sequences.11-2 Arithmetic Series .11-3 Geometric Sequences,:yy yy.6.A.3.Hjgjjjj Graphing Calculator Lab: Lii11-4 Geometric Series .(fl f. * * 11-5 Infinite Geometric Series ./.» ?./Mid-Chapter QuizPrerequisite Skills Get Ready for Chapter 11 621 Get Ready for the Next Lesson628, 635, 641, 649, 655, 662, 669Reading and Writing Mathematics Writing in Math 627,634,641,648,654, 662, 668, 673Standardized Test Practice Multiple Choice 628,635,639,641,648, 655, 656, 662, 669, 673, 679,680, 681 Worked Out Example 636 3B9IP Spreadsheet Lab: Amortizing Loans .(s.11-6 Recursion and Special Sequences././. M.f.'11-7 The Binomial Theorem. t&f.Q.11-8 Proof and Mathematical Induction . J.rjr.C/.ASSESSMENT *Study Guide and ReviewChapter TestStandardized Test Practice* For formative and summative assessment optio'see page 621.H.O.T. ProblemsHigher Order Thinking Challenge 627,634,641,648,654,662, 668, 673 Find the Error 640, 654 ODen Ended 627,634,640,648,** 4 3 Uj) Algebra Lab: Fractals. /. 4jt ).Sjr.
&gfo Probability and Statistics12-1 The Counting Principle '. 68412-2 Permutations and Combinations. /./. r.!. y**p -690Reading Math: Permutations and Combinations./ ffl. (. .69612-3P r o b a b i l i t y. . . . / / .P. .!.69712-4 Multiplying Probabilities.//. 70312-5 Adding Probabilities.//. Q. „ 710Mid-ChapterQuiz7161 2 - 6 S t a t i s t i c a l M e a s u r e s . . . / . P. \ . ! ? . . . \ ) 7 1 712-7 The Normal Distribution. .L'.ff.J. .72412-8 Exponential and Binomial Distribution . .1.1.0. M./.(?.!. .729Algebra Lab: Simulations «?.?.754Prerequisite Skills Get Ready for Chapter 12 683Algebra Lab: Testing Hypotheses. ./P.P. jf.,. . .74012-10 Sampling and Error. /.&. ./3. l).P.y\(y). 741 Get Ready for the Next Lesson 689,695, 702, 709, 715, 723, 728, 733,739ASSESSMENT *StudyGuidePracticeandReviewTe s t745751StandardizedTe s tPractice* For formative and summative assessment options,Reading and Writing Mathematics Reading Math 696752 Writing in Math 689,694,702,709,714, 723, 728, 733, 739, 744 Reading Math Tips 685,690,697,see page 683.699, 718"":' "7 "' ''' " f.-" '.M," ; ,' ' ''yiF j;H &J*gStandardized Test Practice Multiple Choice 687,689,695,702,' . C , ';" VM:. .1ii - ' ' - " '. ' '. '''; ' 't' \ ''.''i**J' '.f' " ' . .' -' - r s —.-709, 715, 716, 723,728, 733, 739,744, 751, 752, 753 Worked Out Example 685H.CXT Problems'' .Higher Order Thinkingw Challenge 688,694,702,709,714,722, 728, 733, 739 Find the Error 7084 Open Ended 688,694,701,708,*1J*!.'\ ,1 " ' ""tfv.714, 722, 728, 732, 738, 744 Reasoning 688,694,714,722,733,\739,744i4\"y/" r.: .i- V jLX Which One Doesn't Belong? 722:\
TrigonometryTrigonometric FunctionsExplore 13-1 Spreadsheet Lab: Special Right Triangles 7581 3 - 1 R i g h t T r i a n g l e T r i g o n o m e t r y ( d t fi . 3 ? . 7 5 913-2l i - i AnglesA n g l ande s Anglea n a MeasureA n g l e(.?.i v i e d b u i e .768\,*r*««Extend 13-2 . Algebra Lab: Investigating Regular Polygons J O & Z5 j ' 'UsingTrigonometry77513-3 Trigonometric Functions of General Angles.S. ,Y. fry. CosinesCirculary.784P. . . ! . .l . . P. . j TFunctions.785793L ? T. Q .%79913-7 Inverse Trigonometric Functions. /.?. J.i. /.y/M. .806Prerequisite Skills Get Ready for Chapter 13 757 Getting Ready for the Next Lesson767, 774, 783, 792, 798, 805Reading and Writing Mathematics Reading Math 759,768,770,ASSESSMENT*StudyGuidefacticeandTe s tReview — :':.812W -MStandard'Irfei*-'-'778, 740 Writing in Math 767,774,783,792,798, 805, 811Standardized Test Practice Multiple Choice 760,764,767,774,783, 792, 798, 805, 811, 818, 819 Worked Out Example 760UQ.T. ProblemsHigher Order Thinking Challenge 767,773,798,805,811 Find the Error 792,797 Open Ended 767,773,783,792,798, 805, 810 Reasoning 767,773,783,792,797 Which One Doesn't Belong? 805John P. Koly'Gstty Images'»
& & Trigonometric Graphs and identities14-2 Translations of Trigonometric Graphs '14-3 Trigonometric Identities D.7. — 14-4 Verifying Trigonometric Identities .(. s.Mid-ChapterQuiz— 14-5 Sum and Difference of Angles Formulas. J.5.9. r. „14-6 Double-Angle and Half-Angle Formulas ?.Graphing Calculator Lab: SolvinTrigonometric Equations C.vi I14-7 Solving Trigonometric Equations .l. ff.YASSESSMENT *Study Guide and ReviewPractice TestStandardized Test Practice* For formative and summative assessment options,see page 821.Student HandbookBuilt-in WorkbooksPrerequisite Skills Get Ready for Chapter 14 821 Get Ready for the Next Lesson 828,836,841, 846, 852, 859Prerequisite SkillsExtra Practice' '-';yy-" ' -' m St 1Reading and Writing Mathematics Reading Math Tips 848,850 Writing in Math 828,836,841,845,852, 858, 866j Standardized Test Practice Multiple Choice 828,836, 841, 843,846, 847, 852, 859, 866 Worked Out Example 843HLO.T. ProblemsHigher Order Thinking Challenge 827,835,841,845,852,866 Find the Error 828 Open Ended 827,835,841,845,852, 858, 866 Reasoning 827,841,852,858,866 Which One Doesn't Belong? 845
0 Systems of Equations and Inequalities 3-1 Solving Systems of Equations by Graphing 116 3-2 Solving Systems of Equations Algebraically .ft.Y. 123 3-3 Solving Systems of Inequalities by Graphing Xfi 0. . 130 Graphing Calculator Lab: Systems of Linear I n e q u a l i t i e s . & . . C . . . 3 - I 3 6 M i d - C h a p t e r Q u i z . . . . . . .
EQUATIONS AND INEQUALITIES Golden Rule of Equations: "What you do to one side, you do to the other side too" Linear Equations Quadratic Equations Simultaneous Linear Equations Word Problems Literal Equations Linear Inequalities 1 LINEAR EQUATIONS E.g. Solve the following equations: (a) (b) 2s 3 11 4 2 8 2 11 3 s
2 Solving Linear Inequalities SEE the Big Idea 2.1 Writing and Graphing Inequalities 2.2 Solving Inequalities Using Addition or Subtraction 2.3 Solving Inequalities Using Multiplication or Division 2.4 Solving Multi-Step Inequalities 2.5 Solving Compound Inequalities Withdraw Money (p.71) Mountain Plant Life (p.77) Microwave Electricity (p.56) Digital Camera (p.
Solving & Graphing Inequalities 2016-01-11 www.njctl.org Slide 3 / 182 Table of Contents Simple Inequalities Addition/Subtraction Simple Inequalities Multiplication/Division Solving Compound Inequalities Special Cases of Compound Inequalities Graphing Linear Inequalities in Slope-Intercept Form click on the topic to go to that section Glossary .
Students graph simple inequalities involving rational numbers on a number line. 7.EE.B.4.b Solving Two-Step Linear Inequalities Students solve two-step linear inequalities. 7.EE.B.4.b Problem Solving with Two-Step Equations and Inequalities Using Linear Equations and Inequalities Students write equ
Chapter 4D-Quadratic Inequalities and Systems Textbook Title Learning Objectives # of Days 4.9 Graph Quadratic Inequalities 12. Graph quadratic inequalities and systems of quadratic inequalities on the coordinate plane. (4.9) 2 4.9 Systems of Inequalities 13. Graph systems of inequalities involving linear, quadratic and absolute value functions .
Compound inequalities are two inequalities joined by the word and or by the word or. Inequalities joined by the word and are called conjunctions. Inequalities joined by the word or are disjunctions. You can represent compound inequalities using words, symbols or graphs. 20. Complete the table. Th e fi rst two rows have been done for you. Verbal .
solving equations from previous grades and is a gateway into the entire unit on equations and inequalities. Conceptual Understanding: Mystery Letters 4-5 days I will review equations by Conceptual Understanding:Solving simple equations, multi-step equations, and equations
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