South Carolina Mathematics Standards for Algebra 2 - …€¦ · · 2002-04-30South Carolina...

South Carolina Mathematics Standardsfor Algebra 2

correlated to the

5/20022001

TABLE OF CONTENTS

McDougal Littell Algebra 2 correlated to the South Carolina Process Standards for Mathematics.....................................................................1

McDougal Littell Algebra 2 correlated to the South Carolina Curriculum Standards for Algebra 2 .................................................................16

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Introduction

to

McDougal Littell Algebra 2 © 2001Grades 9–12

by Ron Larson, Laurie Boswell, Tim Kanold, Lee Stiff

The newest program by this experienced author team makes math accessible for the students andflexible for the teacher. Lessons include many features that provide learning support for a varietyof students.

Some Special Features

• Prerequisite skill practice is provided on Study Guide pages and in the Mixed Review sectionof every lesson to better prepare students for the coming lessons.

• Highlighted vocabulary words occur in each lesson and in a summary list at the end of thechapter.

• A number of opportunities for teachers to introduce lessons with easy-to-follow activities areincluded in every chapter.

• Abundant examples make it easier for students to find help when doing their homework.• Vocabulary check, Concept check, and Skill check exercises in the Guided Practice provide

teachers with numerous options for ending class and for assessing student understanding.• Teachers have many opportunities to include graphing calculator activities and exercises in their

lessons. Keystrokes are provided for easy use in the classroom.• Internet links that directly relate to student instruction and success occur throughout every

lesson. These links provide support for independent student learning, including additionalexamples, problem-solving help, homework help, data updates, career links, and applicationextensions.

• Numerous exercises in each lesson allow teachers more flexibility in making assignments andsave them from needing to photocopy supplemental practice.

• Student Help notes are integrated throughout every lesson to help students with basic skills,prerequisites, study tips, common errors, and to provide homework help.

• Additional in-book practice is included in the Student Resources section at the back of thebook.

• Test Preparation is included in every lesson to provide daily practice and test-taking strategiesto prepare students for a variety of state and national assessments.

Teachers are supported by a wealth of ancillary materials. A complete listing of all programcomponents is provided on the following page.

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McDougal Littell Algebra 2 © 2001Components

Pupil’s Edition Teacher’s Edition

Teacher’s Resource Package Chapter Resource Books 1–14

Tips for New TeachersParent Guide for Student SuccessStrategies for Reading MathematicsLesson Plans and Lesson Plans for Block

SchedulingWarm-Up Exercises and Daily Homework

QuizStarting Points: Alternative Lesson OpenersQuick Catch-Up for Absent StudentsResource Book AnswersPrerequisite Skills ReviewPractice (Levels A, B, C)Reteaching with PracticeChallenge: Skills and ApplicationsCumulative ReviewActivity Support MastersGraphing Calculator Activities with

KeystrokesCooperative Learning ActivitiesReal-Life and Interdisciplinary ApplicationsMath and History ApplicationsDaily Homework QuizLesson QuizzesChapter Review Games and ActivitiesChapter Tests (Levels A, B, C)SAT/ACT Chapter TestAlternative Assessment with Rubrics and

Math JournalProject with Rubric

Worked-out Solution KeyOnline Lesson Planner GuideBasic Skills Workbook: Diagnosis and

Remediation, Teacher’s EditionPractice Workbook with Examples,

Teacher’s EditionStandardized Test Practice Workbook,

Teacher’s EditionWarm-up Transparencies and Daily

Homework Quiz

Other AncillariesResources in SpanishMulti-Language GlossaryEnglish–Spanish Chapter Reviews and TestsSouth Carolina Support for McDougal Littell

Algebra 2South Carolina Block Scheduling Lesson

Plans

Other Transparencies:Starting Points: Alternative Lesson Opener

Transparency PackageExtra Example Transparencies with

Standardized Test PracticeAnswer Transparencies for Checking

Homework

Workbooks: Basic Skills Workbook: Diagnosis and

RemediationPractice Workbook with ExamplesStandardized Test Practice Workbook

Technology:Electronic Lesson Presentations CD-ROMElectronic Teacher Tools CD-ROMInstant Replay: Video Review Games with

Video Resource BookPersonal Student Tutor CD-ROMTime-Saving Test and Practice Generator

CD-ROMInternet support ( www.mcdougallittell.com ),

including an online lesson planner

PE = Pupil’s Edition, TE = Teacher’s Edition, TRP = Teacher’s Resource PackageBlackline masters for the Warm-Up Transparencies and Daily Homework Quiz can be foundin the Chapter Resource Books.

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McDougal Littell Algebra 2 © 2001

correlated to the

South Carolina Mathematics Standards for Algebra 2

Process Standards

Problem Solving StandardInstructional programs from prekindergarten through grade 12 should enable all studentsto accomplish the following:

• build new mathematical knowledge through problem solving

PE/TE: 19-24, 25, 41-47, 49, 50-56, 99, 100-107, 139-145, 147,148-155, 156-162, 177-184, 222, 223-229, 237-238, 230-236, 256-263, 264-270, 281, 282-289, 299-305, 379, 396-397, 380-386, 421, 422-429, 437-444, 473, 474-479, 501-508, 533, 534-539, 568-574, 584-585, 622, 623-631, 632-638, 674, 675-680, 689-690, 738, 739-745, 753-754, 764-765, 791, 792-798, 839, 840-847, 855-861, 892-893, 929-932

Additional TE: 1A, 1B, 1C, 1D, 64A, 64B, 64C, 64D, 136A, 136B,136C, 136D, 196A, 196B, 196C, 196D, 246A, 246B,246C, 248D, 320A, 320B, 320C, 320D, 398A, 398B,398C, 398D, 462A, 462B, 462C, 462D, 530A, 530B,530C, 530D, 586A, 586B, 586C, 586D, 648A, 648B,648C, 648D, 698A, 698B, 698D, 766A, 766B, 766C,766D, 828A, 828B, 828C, 828D

TRP: Chapter Resource Books: Ch 1: 36-49, 64-105;Ch 2: 63-77; Ch 3: 99-50, 80-91; Ch 4: 52-79; Ch 5: 24-50, 63-76, 92-104; Ch 6: 116-128; Ch 7: 48-62. 76-91;Ch 8: 22-36, 79-91; Ch 9: 9-23, 78-91; Ch 10: 76-103;Ch 11: 50-64; Ch 12: 80-93, Ch 13: 50-63; Ch 14: 22-34, 49-63Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69Practice Workbook with Examples: 7-9, 13-21, 34-36,46-54, 61-63, 73-78, 82-87, 91-93, 97-99, 127-129, 139-141, 145-147, 154-156, 166-168, 175-177, 190-192, 208-213, 223-225, 244-246, 259-261, 276-278, 280-282Standardized Test Practice Workbook: 3, 5-7, 12, 16-19, 21, 25, 26, 28, 29, 31, 33, 43, 47, 49, 56, 60, 63, 68,74, 75, 79, 86, 91, 96, 98(continued on next page)

McDougal Littell Algebra 2 © 2001 correlated to theSouth Carolina Mathematics Standards for Algebra 2

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Warm-Up Transparencies and Daily HomeworkQuiz: 4-8, 10, 14, 15, 19-22, 24-26, 29-30, 32-39, 49, 51,54-57, 60, 61, 64, 65, 68, 69, 73, 75, 80, 81, 83, 86, 87,94, 95, 100, 101, 106-109

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 8-10, 13-21, 35-37, 46-53, 59-61, 72-76,80-84, 88-91, 94-96, 121-123, 133-135, 139-140, 147-148, 157-159, 166-168, 181-183, 198-202, 212-213, 246-247, 259-261, 265-267

• solve problems that arise in mathematics and in other contexts

PE/TE: 6, 8, 9, 10, 12, 13, 15, 16, 19-24, 25, 30, 31, 33-40, 41-47,48, 49, 50-56, 61, 72, 73, 78, 80, 85, 93, 97, 98, 102, 105,116, 133, 139-145, 146, 147, 148-155, 156-162, 165, 167,172, 174, 177-184, 194-195, 202, 206, 207, 210, 217,220, 225, 226, 228, 230-236, 237-238, 252, 253, 254,256-263, 264-270, 271, 280, 284, 285, 286, 287, 288,289, 294, 299-305, 308, 312, 325, 327, 332, 340, 341,342, 347, 349, 350, 355, 357, 361, 363, 365, 366, 368,375, 377, 382, 383, 395, 396-397, 403, 405, 410, 411,412, 413, 414, 417, 425, 428, 433, 435, 437-444, 451,452, 459, 467, 468, 476, 479, 482, 487, 489, 491, 495,496, 497, 501-508, 510, 512, 515, 519, 533, 536, 538,539, 549, 552, 557, 560, 568-574, 579, 581, 583, 584-585, 589-594, 591, 597, 599, 600, 603, 611, 617, 620,632-638, 654, 656, 662, 669, 677, 680, 683, 690, 702,703, 704, 707, 717, 718, 720, 721, 726, 728, 730, 731,732, 735, 741, 744, 747, 748, 750, 764-765, 771, 773,774, 779, 781, 787, 789, 790, 794, 797, 802, 805, 809,812, 815, 851, 855-861, 867, 873, 878, 892-893, 914-915,929-932

Additional TE: 1A, 1B, 1C, 1D, 136A, 136B, 136C, 136D, 196A, 196B,196D, 246A, 246B, 246C, 248D, 320A, 320B, 320C,320D, 398A, 398B, 398C, 398D, 462A, 462B, 462C,462D, 530A, 530B, 530D, 586A, 586B, 586C, 586D,828A, 828B, 828D

TRP: Chapter Resource Books: Ch 1: 50-105; Ch 3: 9-50,80-91; Ch 4: 65-79; Ch 5: 24-50, 92-117; Ch 6: 116-128; Ch 7: 76-91; Ch 8: 79-104; Ch 9: 78-91; Ch 10: 9-20, 90-103; Ch 13: 90-102; Ch 14: 49-63, 64-77Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69Practice Workbook with Examples: 7-21, 46-54, 61-68,76-78, 82-87, 97-102, 127-129, 145-147, 166-171, 190-192, 193-195, 211-213, 268-270, 283-285(continued on next page)


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Standardized Test Practice Workbook: 3, 4-7, 16-17,21, 26, 28, 29, 33, 34, 43, 49, 60, 61, 68, 69, 75, 94, 98,99Warm-Up Transparencies and Daily HomeworkQuiz: 4-8, 10, 19-22, 24, 25, 30, 32, 39, 41, 49, 51, 56,57, 64-66, 73, 75, 76, 81, 83, 103, 105, 108-110

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 8-21, 46-53, 59-61, 75-76, 80-84, 94-98,121-123, 139-140, 157-162, 181-186, 201-202, 254-255,265-270

• apply and adapt a variety of appropriate strategies to solve problems

PE/TE: 6, 12, 13, 21, 25, 33-40, 44, 48, 49, 52, 60, 78, 85, 93, 99,102, 110, 116, 141, 151, 158, 165, 172, 180, 202, 207,210, 225, 226, 232, 252, 258, 259, 266, 284, 285, 294,300, 308, 325, 332, 340, 347, 355, 361, 368, 375, 382,403, 410, 417, 425, 433, 440, 467, 468, 476, 482, 489,495, 504, 510, 512, 519, 533 542, 549, 557, 570, 591,597, 603, 611, 617, 634, 654, 662, 669, 677, 683, 702,703, 704, 717, 718, 726, 730, 731, 732, 741, 747, 748,764-765, 768, 771, 779, 787, 802, 809, 815, 851, 858,878, 928-932

Additional TE: 1A, 1B, 1C, 1DTRP: Chapter Resource Books: Ch 1: 64-77

Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69Practice Workbook with Examples: 13-15Standardized Test Practice Workbook: 5Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 13-16


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• monitor and reflect on the process of mathematical problem solving

PE/TE: 6, 12, 13, 21, 25, 33-40, 44, 48, 49, 52, 60, 78, 85, 93, 99,102, 110, 116, 141, 151, 158, 165, 172, 180, 202, 207,210, 225, 226, 232, 252, 258, 259, 266, 284, 285, 294,300, 308, 325, 332, 340, 347, 355, 361, 368, 375, 382,403, 410, 417, 425, 433, 440, 467, 468, 476, 482, 489,495, 504, 510, 512, 519, 533 542, 549, 557, 570, 591,597, 603, 611, 617, 634, 654, 662, 669, 677, 683, 702,703, 704, 717, 718, 726, 730, 731, 732, 741, 747, 748,764-764, 768, 771, 779, 787, 802, 809, 815, 851, 858,878, 928-932


Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69Practice Workbook with Examples: 13-15Standardized Test Practice Workbook: 5Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7



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Reasoning and Proof StandardInstructional programs from prekindergarten through grade 12 should enable all studentsto accomplish the following:

• recognize reasoning and proof as fundamental aspects of mathematics

PE/TE: 8, 10, 24, 27, 56, 65, 72, 80, 81, 87, 93, 96, 99, 100-106,113, 118, 144, 154, 162, 183, 212, 220, 255, 261, 269,278, 279, 289, 296, 304, 319, 335, 357, 364, 378, 385,413, 418, 419, 435, 443, 450, 471, 479, 485, 492, 498,533, 539, 544, 552, 565, 567, 572, 605, 614, 619, 636,637, 657, 665, 679, 686, 706, 713, 714, 729, 741-745,764-765, 790, 797, 811, 818, 827, 836, 839, 845, 846,853, 866, 874, 880, 924-929

Additional TE: 64A, 64B, 64C, 64D, 698A, 698B, 698DTRP: Chapter Resource Books: Ch 2: 63-77; Ch 12: 80-93

Basic Skills Workbook: 64-69Practice Workbook with Examples: 34-36, 244-246Standardized Test Practice Workbook: 12, 86Warm-Up Transparencies and Daily HomeworkQuiz: 14, 15, 94, 95

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 35-37, 233-234

• make and investigate mathematical conjectures

PE/TE: 99, 100-105, 147, 222, 379, 421, 473, 533, 674, 738, 741-745, 839, 926-928

Additional TE: 64A, 64B, 64C, 64D, 698A, 698B, 698DTRP: Chapter Resource Books: Ch 2: 63-77; Ch 3: 26;

Ch 6: 119; Ch 7: 38; Ch 8: 25; Ch 9: 12; Ch 11: 53;Ch 12: 80-93Basic Skills Workbook: 34-36, 244-246Practice Workbook with Examples: 12, 86Warm-Up Transparencies and Daily HomeworkQuiz: 14, 15, 94, 95



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• develop and evaluate mathematical arguments and proof

PE/TE: 8, 10, 49, 56, 80, 96, 99, 100-105, 147, 194-195, 212,220, 222, 255, 261, 278, 279, 281, 304, 357, 379, 396-397, 413, 418, 421, 439, 471, 473, 498, 533, 539, 565,572, 584-585, 614, 622, 636, 657, 665, 674, 679, 686,689-690, 713, 714, 729, 738, 741-745, 764-765, 791, 836,839, 846, 880, 892-893, 924-929

Additional TE: 64A, 64B, 64C, 64D, 698A, 698B, 698DTRP: Chapter Resource Books: Ch 1: 94; Ch 2: 66;

Ch 3: 26; Ch 5: 66; Ch 6: 119; Ch 7: 38; Ch 8: 25;Ch 9: 12; Ch 10: 79; Ch 11: 53; Ch 12: 83; Ch 13: 53Basic Skills Workbook: 64-69Practice Workbook with Examples: 34-36, 244-246Standardized Test Practice Workbook: 12, 86Warm-Up Transparencies and Daily HomeworkQuiz: 14, 15, 94, 95


• select and use various types of reasoning and methods of proof

PE/TE: 8, 10, 24, 27, 56, 65, 72, 80, 81, 87, 93, 96, 99, 100-106,113, 118, 144, 154, 162, 183, 212, 220, 255, 261, 269,278, 279, 289, 296, 304, 319, 335, 357, 364, 378, 385,413, 418, 419, 435, 443, 450, 471, 479, 485, 492, 498,533, 539, 544, 552, 565, 567, 572, 605, 614, 619, 636,637, 657, 665, 679, 686, 706, 713, 714, 729, 741-745,764-765, 790, 797, 811, 818, 827, 836, 839, 845, 846,853, 866, 874, 880, 924-929

Additional TE: 64A, 64B, 64C, 64D, 698A, 698B, 698DTRP: Chapter Resource Books: Ch 2: 63-77; Ch 12: 80-93

Basic Skills Workbook: 64-69Practice Workbook with Examples: 34-36, 244-246Standardized Test Practice Workbook: 12, 86Warm-Up Transparencies and Daily HomeworkQuiz: 14, 15, 94, 95



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Communication StandardInstructional programs from prekindergarten through grade 12 should enable all studentsto accomplish the following:

• organize and consolidate their mathematical thinking through communication

PE/TE: 1, 12, 13, 15, 21, 27, 33-39, 47, 49, 52, 60, 63, 65, 72, 81,82, 85, 93, 98, 99, 108, 110, 137, 141, 145, 147, 151, 153,172, 175, 180, 183, 191, 194-195, 197, 206, 213, 222,229, 232, 235, 245, 255, 258, 269, 279, 280, 281, 305,321, 328, 336, 345, 347, 349, 355, 361, 371, 375, 379,385, 393, 396-397, 399, 406, 413, 417, 420, 421, 436,459, 461, 463, 465, 473, 479, 484, 498, 506, 507, 516,517, 529, 531, 533, 539, 542, 545, 560, 570, 581, 584-585, 587, 600, 605, 614, 620, 622, 639, 640, 649, 664,672, 674, 683, 697, 699, 714, 738, 745, 751, 764-765,774, 791, 797, 805, 806, 827, 829, 839, 846, 854, 866,880, 892-893

Additional TE: 1A, 1B, 1C, 1DTRP: Chapter Resource Books: Ch 1: 64-77, 94; Ch 2: 66;

Ch 3: 26; Ch 5: 66; Ch 6: 119; Ch 7: 38; Ch 8: 25;Ch 9: 12; Ch 10: 79; Ch 11: 53; Ch 12: 83; Ch 13: 53Practice Workbook with Examples: 13-15Standardized Test Practice Workbook: 5Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7


• communicate their mathematical thinking coherently and clearly to peers,teachers, and others

PE/TE: 1, 12, 13, 15, 21, 27, 33-39, 47, 49, 52, 60, 63, 65, 72, 81,82, 85, 93, 98, 99, 108, 110, 137, 141, 145, 147, 151, 153,172, 175, 180, 183, 191, 194-195, 197, 206, 213, 222,229, 232, 235, 245, 255, 258, 269, 279, 280, 281, 305,321, 328, 336, 345, 347, 349, 355, 361, 371, 375, 379,385, 393, 396-397, 399, 406, 413, 417, 420, 421, 436,459, 461, 463, 465, 473, 479, 484, 498, 506, 507, 516,517, 529, 531, 533, 539, 542, 545, 560, 570, 581, 584-585, 587, 600, 605, 614, 620, 622, 639, 640, 649, 664,672, 674, 683, 697, 699, 714, 738, 745, 751, 764-765,774, 791, 797, 805, 806, 827, 829, 839, 846, 854, 866,880, 892-893

Additional TE: 1A, 1B, 1C, 1D(continued on next page)


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TRP: Chapter Resource Books: Ch 1: 64-77, 94; Ch 2: 66;Ch 3: 26; Ch 5: 66; Ch 6: 119; Ch 7: 38; Ch 8: 25;Ch 9: 12; Ch 10: 79; Ch 11: 53; Ch 12: 83; Ch 13: 53Practice Workbook with Examples: 13-15Standardized Test Practice Workbook: 5Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7


• analyze and evaluate the mathematical thinking and strategies of others

PE/TE: 14, 22, 33-39, 49, 99, 103, 125, 147, 181, 194-195, 218,222, 260, 277, 281, 286, 329, 341, 348, 379, 396-397,411, 418, 421, 434, 473, 490, 505, 533, 543, 584-585,604, 612, 622, 639, 674, 705, 712, 738, 764-765, 780,791, 795, 839, 852, 859, 892-893, 929-932


Ch 3: 26; Ch 5: 66; Ch 6: 119; Ch 7: 38; Ch 8: 25;Ch 9: 12; Ch 10: 79; Ch 11: 53; Ch 12: 83; Ch 13: 53Practice Workbook with Examples: 13-15Standardized Test Practice Workbook: 5Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7



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• use the language of mathematics to express mathematical ideas precisely

PE/TE: 1, 7, 12, 13, 14, 15, 21, 22, 27, 29, 33-39, 45, 47, 49, 52,53, 60, 63, 65, 71, 72, 79, 81, 82, 85, 86, 93, 95, 98, 99,103, 108, 110, 111, 117, 125, 137, 141, 142, 145, 147,151, 152, 153, 159, 166, 172, 173, 175, 180, 181, 183,191, 194-195, 197, 203, 206, 211, 213, 218, 222, 227,229, 232, 233, 235, 245, 253, 255, 258, 260, 267, 269,277, 279, 280, 281, 286, 295, 303, 305, 309, 321, 326,328, 333, 336, 341, 345, 347, 348, 349, 355, 356, 361,362, 369, 371, 375, 376, 379, 383, 385, 393, 396-397,399, 404, 406, 411, 413, 417, 418, 420, 421, 426, 434,436, 441, 449, 459, 461, 463, 465, 469, 473, 477, 479,483, 484, 490, 496, 498, 505, 506, 507, 513, 516, 517,520, 529, 531, 533, 537, 539, 542, 543, 545, 550, 558,560, 565, 570, 571, 581, 584-585, 587, 592, 598, 600,604, 605, 612, 614, 618, 620, 622, 628, 635, 639, 640,649, 655, 663, 664, 670, 672, 674, 678, 683, 684, 697,699, 705, 712, 714, 719, 727, 734, 738, 742, 745, 749,751, 764-765, 772, 774, 780, 788, 791, 795, 797, 803,805, 806, 810, 816, 827, 829, 835, 839, 844, 846, 852,854, 859, 865, 866, 872, 879, 880, 892-893


Ch 3: 26; Ch 5: 66; Ch 6: 119; Ch 7: 38; Ch 8: 25;Ch 9: 12; Ch 10: 79; Ch 11: 53; Ch 12: 83; Ch 13: 53Basic Skills Workbook: 1-7, 8-13, 14-18, 25-29, 64-69,81-84, 91-95Practice Workbook with Examples: 13-15Standardized Test Practice Workbook: 5Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7



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Connections StandardInstructional programs from prekindergarten through grade 12 should enable all studentsto accomplish the following:

• recognize and use connections among mathematical ideas

PE/TE: 6, 8, 10, 15, 23, 24, 28, 29, 30, 31, 33-40, 54, 55, 61, 67-74, 72, 73, 82-89, 90, 97, 98, 99, 100-106, 107, 133, 139-145, 153, 156-162, 163-169, 170-175, 176, 182, 199-206,228, 230-231, 237-238, 249-255, 258, 260, 261, 262, 266,268, 271, 284, 286, 287, 288, 299-305, 306-312, 327,341, 342, 349, 350, 357, 361, 363, 365, 373-379, 380-388, 405, 412, 413, 427, 428, 431-436, 445-452, 487,491, 496, 509-516, 534-539, 540-545, 546, 560, 579, 581,589-594, 600, 601-607, 620, 622, 623-631, 656, 680, 690,718, 719, 720, 721, 722, 728, 729, 730, 731, 735, 744,746-752, 769-775, 781, 794, 797, 805, 812, 813-819,831-839, 840-847, 862-868, 873, 914-915

Additional TE: 1A, 1B, 1C, 1D, 64A, 64B, 64C, 64D, 136A, 136B,136C, 136D, 196A, 196B, 196C, 196D, 246A, 246B,246C, 248D, 320A, 320B, 320C, 320D, 398A, 398B,398C, 398D, 462A, 462B, 462C, 462D, 530A, 530B,530C, 530D, 586A, 586B, 586C, 586D, 698A, 698B,698C, 698D, 766A, 766B, 766C, 766D, 828A, 828B,828C, 828D

TRP: Chapter Resource Books: Ch 1: 50-77; Ch 2: 9-20, 36-50, 63-77; Ch 3: 9-21, 37-66; Ch 4: 9-21, 65-79;Ch 5: 9-23, 92-117; Ch 6: 102-128; Ch 7: 63-75, 92-104; Ch 8: 92-104; Ch 9: 24-36; Ch 10: 9-20, 36-49, 76-89; Ch 12: 40-52, 94-106; Ch 13: 9-24, 90-102;Ch 14: 9-21Basic Skills Workbook: 46-63, 71-89, 81-84Practice Workbook with Examples: 10-12, 13-15, 22-24, 28-30, 34-36, 46-48, 52-57, 64-66, 76-78, 79-81, 97-99, 100-102, 124-126, 127-129, 142-144, 148-150, 169-171, 178-180, 208-210, 235-237, 247-249, 250-252, 268-270, 271-273, 274-276, 283-285Standardized Test Practice Workbook: 4, 5, 8, 10, 12,16, 18, 19, 22, 26, 27, 33, 34, 42, 43, 48, 50, 61, 64, 69,71, 74, 83, 87, 88, 94, 95(continued on next page)


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Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7, 10-15, 19-23, 26, 27, 30, 32, 33, 38, 39, 41,48, 49, 51, 55-57, 59, 65, 66, 68, 69, 75, 77, 80, 91, 92,95, 97, 98, 103, 105, 106

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 11-16, 22-25, 29-30, 35-37, 46-48, 52-58,62-65, 75-79, 94-99, 119-123, 136-138, 141-143, 160-162, 166-170, 184-186, 190-192, 198-200, 223-225, 235-239, 254-258

• understand how mathematical ideas interconnect and build on one another toproduce a coherent whole

PE/TE: 6, 8, 10, 15, 23, 24, 28, 29, 30, 31, 33-40, 54, 55, 61, 67-74, 72, 73, 82-89, 90, 97, 98, 99, 100-106, 107, 133, 139-145, 153, 156-162, 163-169, 170-175, 176, 182, 199-206,228, 230-231, 237-238, 249-255, 258, 260, 261, 262, 266,268, 271, 284, 286, 287, 288, 299-305, 306-312, 327,341, 342, 349, 350, 357, 361, 363, 365, 373-379, 380-388, 405, 412, 413, 427, 428, 431-436, 445-452, 487,491, 496, 509-516, 534-539, 540-545, 546, 560, 579, 581,589-594, 600, 601-607, 620, 622, 623-631, 656, 680, 690,718, 719, 720, 721, 722, 728, 729, 730, 731, 735, 744,746-752, 769-775, 781, 794, 797, 805, 812, 813-819,831-839, 840-847, 862-868, 873, 914-915

Additional TE: 1A, 1B, 1C, 1D, 64A, 64B, 64C, 64D, 136A, 136B,136C, 136D, 196A, 196B, 196C, 196D, 246A, 246B,246C, 248D, 320A, 320B, 320C, 320D, 398A, 398B,398C, 398D, 462A, 462B, 462C, 462D, 530A, 530B,530C, 530D, 586A, 586B, 586C, 586D, 698A, 698B,698C, 698D, 766A, 766B, 766C, 766D, 828A, 828B,828C, 828D

TRP: Chapter Resource Books: Ch 1: 50-77; Ch 2: 9-20, 36-50, 63-77; Ch 3: 9-21, 37-66; Ch 4: 9-21, 65-79;Ch 5: 9-23, 92-117; Ch 6: 102-128; Ch 7: 63-75, 92-104; Ch 8: 92-104; Ch 9: 24-36; Ch 10: 9-20, 36-49, 76-89; Ch 12: 40-52, 94-106; Ch 13: 9-24, 90-102;Ch 14: 9-21Basic Skills Workbook: 46-63, 71-89, 91-110Practice Workbook with Examples: 10-12, 13-15, 22-24, 28-30, 34-36, 46-48, 52-57, 64-66, 76-78, 79-81, 97-99, 100-102, 124-126, 127-129, 142-144, 148-150, 169-171, 178-180, 208-210, 235-237, 247-249, 250-252, 268-270, 271-273, 274-276, 283-285(continued on next page)


12

Standardized Test Practice Workbook: 4, 5, 8, 10, 12,16, 18, 19, 22, 26, 27, 33, 34, 42, 43, 48, 50, 61, 64, 69,71, 74, 83, 87, 88, 94, 95Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7, 10-15, 19-23, 26, 27, 30, 32, 33, 38, 39, 41,48, 49, 51, 55-57, 59, 65, 66, 68, 69, 75, 77, 80, 91, 92,95, 97, 98, 103, 105, 106

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 11-16, 22-25, 29-30, 35-37, 46-48, 52-58,62-65, 75-79, 94-99, 119-123, 136-138, 141-143, 160-162, 166-170, 184-186, 190-192, 198-200, 223-225, 235-239, 254-258

• recognize and apply mathematics in contexts outside of mathematics

PE/TE: 6, 9, 12, 13, 16, 21, 25, 27, 30, 32, 37, 39, 44, 46, 52, 55,78, 85, 80, 93, 97, 102, 105, 116, 141, 151, 153, 158, 161,165, 172, 180, 183, 202, 207, 210, 217, 220, 225, 226,232, 252, 253, 254, 258, 259, 262, 266, 268, 269, 271,284, 285, 288, 289, 294, 300, 308, 325, 327, 332, 340,342, 347, 355, 361, 368, 375, 382, 395, 403, 405, 410,411, 412, 414, 417, 425, 433, 440, 442, 451, 452, 459,467, 468, 476, 479, 482, 487, 489, 491, 495, 497, 504,506, 510, 512, 515, 519, 533, 536, 538, 549, 552, 557,570, 572, 573, 579, 583, 591, 597, 599, 603, 611, 617,634, 654, 662, 669, 677, 683, 702, 703, 704, 707, 717,718, 721, 726, 728, 730, 731, 732, 741, 747, 748, 750,771, 779, 787, 789, 790, 802, 805, 809, 815, 851, 858,878

Additional TE: 1A, 1B, 1C, 1D, 246A, 246B, 246C, 248D, 320A, 320B,320C, 320D, 462A, 462B, 462C, 462D, 766A, 766B,766C, 766D, 828A, 828B, 828D

TRP: Chapter Resource Books: Ch 1: 50-77; Ch 5: 105-117;Ch 6: 116-128; Ch 8: 92-104; Ch 9: 12; Ch 13: 80-102;Ch 14: 64-77Practice Workbook with Examples: 10-15, 100-102,127-129, 169-171, 268-270, 283-285Standardized Test Practice Workbook: 4, 5, 34, 43, 61,94, 99Warm-Up Transparencies and Daily HomeworkQuiz: 5-7, 39, 41, 49, 51, 65, 66, 103, 105, 109, 110

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 11-16, 97-99, 121-123, 160-162, 254-255,268-270


13

Representation StandardInstructional programs from prekindergarten through grade 12 should enable all studentsto accomplish the following:

• create and use representations to organize, record, and communicatemathematical ideas

PE/TE: 12, 13, 21, 44, 49, 52, 78, 85, 93, 99, 100-106, 116, 141,147, 151, 158, 165, 172, 180, 194-195, 202, 207, 210,225, 226, 232, 252, 258, 259, 266, 281, 284, 285, 294,300, 308, 325, 332, 340, 347, 355, 361, 368, 375, 382,396-397, 403, 410, 417, 421, 425, 433, 440, 445-452,453, 467, 468, 473, 476, 482, 489, 495, 504, 510, 512,519, 533, 549, 557, 570, 584-585, 591, 597, 603, 611,617, 622, 634, 654, 662, 669, 674, 677, 683, 702, 703,704, 717, 718, 726, 730, 731, 732, 738, 739-744, 745,747, 748, 749-752, 771, 779, 787, 791, 802, 809, 815,839, 851, 858, 878, 892-893

Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D, 698A,698B, 698C, 698D

TRP: Chapter Resource Books: Ch 1: 94; Ch 2: 63-77;Ch 3: 37-50; Ch 5: 66, 105-117; Ch 7: 38, 92-104;Ch 8: 25; Ch 9: 12, 24-49; Ch 10: 79; Ch 11: 53;Ch 12: 80-106; Ch 13: 53Basic Skills Workbook: 64-69Practice Workbook with Examples: 34-36, 148-150,244-249Standardized Test Practice Workbook: 12, 50, 86, 87Warm-Up Transparencies and Daily HomeworkQuiz: 14, 15, 57, 59, 94, 95, 97

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 35-37, 141-143, 233-236


14

• select, apply, and translate among mathematical representations to solveproblems

PE/TE: 12, 13, 21, 27, 33-39, 44, 52, 78, 85, 93, 99, 100-106,102, 116, 139-145, 141, 151, 156-162, 165, 172, 180,202, 207, 210, 225, 226, 230-236, 237-238, 252, 258,259, 266, 284, 285, 294, 300, 308, 311, 325, 332, 340,347, 355, 361, 368, 375, 379, 382, 383, 403, 410, 417,425, 433, 440, 467, 468, 473, 476, 482, 489, 495, 504,510, 512, 515, 516, 519, 533, 549, 557, 570, 591, 597,603, 611, 617, 634, 654, 662, 669, 674, 677, 683, 702,703, 704, 717, 718, 726, 730, 731, 732, 738, 741, 747,748, 764-765, 768, 771, 779, 787, 802, 809, 815, 821,851, 858, 878, 929, 930, 931, 932

Additional TE: 1A, 1B, 1C, 1D, 64A, 64B, 64C, 64D, 136A, 136B,136C, 136D, 196A, 196B, 196D, 246A, 246B, 246C,248D, 320A, 320B, 320C, 320D

TRP: Chapter Resource Books: Ch 1: 64-77; Ch 2: 63-77;Ch 3: 9-21, 37-50; Ch 4: 65-79; Ch 5: 105-117;Ch 6: 116-128; Ch 8: 25; Ch 9: 12; Ch 11: 53;Ch 12: 83Basic Skills Workbook: 64-69, 73, 76-80, 81-84, 85-89Practice Workbook with Examples: 13-15, 34-36, 46-48, 52-54, 76-78, 100-102, 127-129Standardized Test Practice Workbook: 5, 12, 16, 18,26, 34, 43Warm-Up Transparencies and Daily HomeworkQuiz: 6, 7, 14, 15, 19-22, 30, 32, 39, 40, 49, 51

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 13-16, 35-37, 46-48, 52-53, 75-76, 97-99,121-123


15

• use representations to model and interpret physical, social, and mathematicalphenomena

PE/TE: 12, 13, 21, 25, 26-32, 33-40, 44, 48, 49, 52, 67-74, 78,82-89, 90, 93, 99, 100-106, 107, 116, 121, 139-145, 146,147, 151, 156-162, 165, 170-175, 176, 180, 194-195, 202,207, 210, 225, 226, 230-236, 237-238, 249-255, 258, 259,266, 271, 281, 284, 285, 290, 294, 299-305, 306-312,325, 332, 337, 340, 347, 355, 361, 368, 372, 373-378,379, 380-386, 396-397, 403, 410, 417, 421, 425, 430,431-436, 440, 453, 467, 468, 473, 476, 482, 489, 495,500, 504, 509-516, 519, 533, 540-545, 546, 547-553, 557,561, 570, 584-595, 597, 603, 608, 611, 617, 622, 623-631, 634, 654, 658, 662, 669, 674, 677, 683, 688, 701,702, 703, 704, 717, 718, 719, 720, 721, 722, 726, 730,731, 732, 733, 738, 739-744, 745, 746-752, 764-765, 771,779, 787, 791, 802, 809, 813-819, 820, 831-837, 838,839, 840-847, 851, 858, 862-868, 878, 892-893

Additional TE: 1A, 1B, 1C, 1D, 64A, 64B, 64C, 64D, 136A, 136B,136D, 196A, 196B, 196C, 196D, 246A, 246B, 246C,248D, 320A, 320B, 320C, 320D, 398A, 398B, 398D,462A, 462B, 462C, 462D, 530A, 530B, 530C, 530D,586A, 586B, 586D, 698A, 698B, 698C, 698D, 766A,766B, 766C, 766D, 828A, 828B, 828C, 828D

TRP: Chapter Resource Books: Ch 1: 50-77; Ch 2: 9-20, 36-50, 63-77; Ch 3: 9-21, 26, 37-50, 67-79; Ch 4: 65-79;Ch 5: 9-23, 66, 92-117; Ch 6: 102-128; Ch 7: 38, 63-75;Ch 8: 25, 92-104; Ch 10: 76-89; Ch 11: 53; Ch 12: 80-106; Ch 13: 90-102; Ch 14: 9-34; 65-77Basic Skills Workbook: 46-69, 71-89Practice Workbook with Examples: 10-15, 22-24, 28-30, 34-36, 46-48, 52-54, 58-60, 76-78, 79-81, 97-102,124-129, 142-144, 169-171, 178-183, 208-210, 244-249,268-270, 241-276, 283-285Standardized Test Practice Workbook: 4, 5, 8, 10, 12,16, 18, 20, 26, 27, 33, 34, 42, 43, 48, 61, 64, 65, 74, 86,87, 94, 95, 96, 99Warm-Up Transparencies and Daily HomeworkQuiz: 5-7, 10-15, 19-24, 30, 32, 33, 38, 39, 41, 48, 49,51, 55, 56, 65, 66, 69-71, 80, 81, 94, 95, 97, 103, 105-107, 109, 110

Other Ancillaries: Extra Examples Transparencies with StandardizedTest Practice: 11-16, 22-25, 29-30, 35-37, 46-48, 52-53,57-58, 75-79, 94-99, 119-123, 136-138, 160-162, 169-173, 198-200, 233-236, 254-261, 268-270


16

Curriculum Standards

I. Understanding Functions

A. Properties of Functions

1. Identify the mathematical domains and ranges of functions for a variety of situationsboth from graphical, tabular, and algebraic representations.

PE/TE: 67, 331, 415-416, 424, 432, 466, 475, 481, 489, 541, 547, 814,831, 834


Practice Workbook with Examples: 136-138Standardized Test Practice Workbook: 46Warm-Up Transparencies and Daily Homework Quiz: 53,54

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice:131-132

2. Determine reasonable domain and range values for given problem situations.

PE/TE: 70, 85, 124, 165, 258, 284, 294, 347, 361, 368, 375, 519, 542,549, 842



Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 22-25

PE = Pupil’s Edition, TE = Teacher’s Edition, TRP = Teacher’s Resource PackageBlackline masters for the Warm-Up Transparencies and Daily Homework Quiz can be foundin the Chapter Resource Books.


17

3. Collect data and record results, organize the data, make scatter-plots, and fit the curvesto the appropriate parent function using graphing calculator technology and computersoftware.

PE/TE: 94, 99, 101-102, 107, 307-308, 381-382, 509-510, 511-512,535, 863-864

Additional TE: 64A, 64B, 64C, 64D, 246A, 246B, 246C, 248D, 320A, 320B,320C, 320D, 462A, 462B, 462C, 462D, 828A, 828B, 828D

TRP: Chapter Resource Books: Ch 2: 63-77; Ch 5: 105-117;Ch 6: 116-128; Ch 8: 92-104; Ch 14: 64-77Basic Skills Workbook: 71-89Practice Workbook with Examples: 34-36, 100-102, 127-129,169-171, 283, 285Standardized Test Practice Workbook: 12, 34, 43, 61, 99Warm-Up Transparencies and Daily Homework Quiz: 14,15, 39, 41, 49, 51, 65, 66, 109, 110

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 35-37, 97-99, 121-123, 160-162, 268-270

4. Recognize that real-world phenomenon can be modeled by specific functions, andmake predictions, decisions, and critical judgments using the model. Graphingcalculator technology and computer software are to be used for data organization andcurve fitting.

PE/TE: Real-world applications appear throughout the text. Forspecific examples see: 33-34, 124, 165, 232, 307-308, 382, 440,510, 570, 634, 683, 739-741, 814-815, 863-864

Additional TE: 1A, 1B, 1C, 1D, 246A, 246B, 246C, 248D, 698A, 698B, 698D,766A, 766B, 766C, 766D, 828A, 828B, 828D

TRP: Chapter Resource Books: Ch 1: 64-77; Ch 5: 105-117;Ch 12: 80-93; Ch 13: 90-102; Ch 14: 64-77Practice Workbook with Examples: 13-15, 100-102, 244-246,268-270, 283-285Standardized Test Practice Workbook: 5, 34, 86, 94, 99Warm-Up Transparencies and Daily Homework Quiz: 6, 7,39, 40, 94, 95, 103, 105, 109, 110

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 13-16, 97-99, 233-234, 254-255, 268-270


18

5. Determine changes in slope relative to the change in the independent variable.

PE/TE: 75-81Additional TE: 64A, 64B, 64C, 64DTRP: Chapter Resource Books: Ch 2: 21-35



B. Solving Equations and Inequalities

1. Analyze situations and formulate systems of equations or inequalities in two or moreunknowns to solve problems.

PE/TE: 136-137, 139-145, 146, 147, 148-155, 156-162, 163-169, 170-175, 176, 177-184, 185, 186, 187, 188, 189, 190-191, 232, 634


Practice Workbook with Examples: 46-63Standardized Test Practice Workbook: 16-21Warm-Up Transparencies and Daily Homework Quiz: 19-24, 26


2. Use algebraic methods, graphs, tables, and matrices to solve systems of equations orinequalities and verify solutions using computer algebra systems, spreadsheets, andgraphing calculators.

PE/TE: 136-137, 139-145, 146, 147, 148-155, 156-162, 163-169, 170-175, 176, 177-184, 185, 186, 187, 188, 189, 190-191, 231-232,237-238, 300, 632-638

Additional TE: 136A, 136B, 136C, 136D, 196A, 196B, 196D, 586A, 586B,586C, 586D

TRP: Chapter Resource Books: Ch 3: 9-91; Ch 4: 65-79;Ch 10: 90-103Practice Workbook with Examples: 46-63, 76-78, 211-213Standardized Test Practice Workbook: 16-21, 26, 75Warm-Up Transparencies and Daily Homework Quiz: 19-24, 26, 30, 32, 81, 83

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 46-61, 75-76, 201-202


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3. Identify the kinds of equations that can and cannot be solved in each subset of thecomplex number system.

PE/TE: 272, 347, 359-365, 366-371Additional TE: 320A, 320B, 320C, 320DTRP: Chapter Resource Books: Ch 6: 75-87

Practice Workbook with Examples: 118-123Standardized Test Practice Workbook: 40, 41Warm-Up Transparencies and Daily Homework Quiz: 46-48


4. Demonstrate that no solution or multiple solutions may exist.

PE/TE: 140, 177-179, 366, 439, 504, 568-569, 800-801, 857Additional TE: 136A, 136B, 136D, 530A, 530B, 530D, 766A, 766B, 766DTRP: Chapter Resource Books: Ch 3: 80-91; Ch 9: 78-91;

Ch 13: 64-77Practice Workbook with Examples: 61-63, 190-192, 262-264Standardized Test Practice Workbook: 21, 68, 92Warm-Up Transparencies and Daily Homework Quiz: 24,26, 73, 75, 101, 102


5. Use computer algebra systems, spreadsheets, and graphing calculators to solve linearprogramming problems.

PE/TE: 163-168, 169Additional TE: 136A, 136B, 136C, 136DTRP: Chapter Resource Books: Ch 3: 51-66




20

6. Identify and use properties related to operations with matrices to justify the steps insolving applied problems.

PE/TE: 196-197, 198, 199-206, 207, 208-213, 214-221, 222, 223-229,230-236, 237-238, 239, 240, 241, 242, 243, 244, 245-246





21

II. Algebra and Geometry

A. Algebraic and Geometric Representations of Functions

1. Identify and sketch graphs of parent functions, including square root (y = x ), inverse

(y =1x), exponential (y = ax), and absolute value (y = x ) functions.

PE/TE: 122, 249, 431, 465, 488, 540, 595, 601, 609, 615, 831, 834Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D, 462A, 462B,

462C, 462D, 530A, 530B, 530C, 530DTRP: Chapter Resource Books: Ch 2: 104-117; Ch 7: 34-75;

Ch 8: 9-36, 50-64; Ch 9: 24-36; Ch 14: 271-273Basic Skills Workbook: 85, 87, 89, 90Practice Workbook with Examples: 43-45, 136-144, 151-156,160-162, 178-180, 271-273Standardized Test Practice Workbook: 17, 19, 46-48, 55, 56,58, 64, 95Warm-Up Transparencies and Daily Homework Quiz: 17,19, 53-56, 59-61, 62, 63, 69, 70, 105, 106

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 43-45, 131-138, 144-148, 152-154, 169-170, 256-258

2. With and without using a graphing calculator, investigate, describe, and predict theeffects of vertical and horizontal translations, reflections, and dilations on parentfunctions.

PE/TE: 123, 249-251, 431-432, 465-466, 475, 481, 489, 540-541, 596,601, 609-610, 615-616, 623-625, 832-833, 834, 838, 839, 840-846

Additional TE: 246A, 246B, 246C, 248D, 398A, 398B, 398D, 462A, 462B,462C, 462D, 530A, 530B, 530C, 530D, 586A, 586B, 586C,586D, 828A, 828B, 828C, 828D

TRP: Chapter Resource Books: Ch 5: 9-23; Ch 7: 64-75; Ch 8: 9-21; Ch 9: 24-36; Ch 10: 50-103; Ch 14: 22-34Practice Workbook with Examples: 79-81, 142-144, 151-153,178-180, 202-213, 274-276Standardized Test Practice Workbook: 27, 48, 55, 64, 72-75,96Warm-Up Transparencies and Daily Homework Quiz: 32,33, 55, 56, 59, 60, 69, 70, 78-81, 83, 106, 107

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 77-79, 136-138, 144-146, 169-170, 193-202, 259-161


22

3. Perform the composition of functions.

PE/TE: 416, 417, 423, 488Additional TE: 398A, 398B, 398C, 398DTRP: Chapter Resource Books: Ch 7: 34-47



4. Recognize inverse relationships between various functions.

PE/TE: 422-428, 488, 792-797Additional TE: 398A, 398B, 398C, 398D, 766A, 766B, 766C, 766DTRP: Chapter Resource Books: Ch 7: 48-62; Ch 13: 50-63

Practice Workbook with Examples: 139-141, 259-261Standardized Test Practice Workbook: 47, 91Warm-Up Transparencies and Daily Homework Quiz: 54,55, 100, 101

Other Ancillaries: Extra Examples Transparencies with Standardized TestPractice: 133-135, 246-247

B. Conic Sections

1. Explain each conic section as the intersection of a plane and cone(s).

PE/TE: 622, 630 (Ex. 70)Additional TE: 586A, 586B, 586DTRP: Chapter Resource Books: Ch 10: 79




23

2. Identify symmetries from graphs of conic sections.

PE/TE: 249-250, 596Additional TE: 246A, 246B, 246C, 248DTRP: Chapter Resource Books: Ch 5: 9-23

Basic Skills Workbook: 85, 86, 89, 90Practice Workbook with Examples: 79-81Standardized Test Practice Workbook: 27Warm-Up Transparencies and Daily Homework Quiz: 32,33


3. Complete the square to determine the type, shape, and location of a conic section.

PE/TE: 281-289, 626, 627Additional TE: 246A, 246B, 246C, 248DTRP: Chapter Resource Books: Ch 5: 63-76

Practice Workbook with Examples: 91-93Standardized Test Practice Workbook: 31Warm-Up Transparencies and Daily Homework Quiz: 36-37



24

III. Quadratic, Square Root, and Absolute Value Functions

A. Quadratic Functions

1. Represent quadratic functions in algebraic, tabular, graphical, and verbal forms usingpaper and pencil, graphing calculators, computer algebra, and spreadsheettechnologies.

PE/TE: 249-255, 258, 259, 265, 266, 291-292, 595-600Additional TE: 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586DTRP: Chapter Resource Books: Ch 5: 9-23, 77-91; Ch 10: 21-35

Basic Skills Workbook: 85, 86, 89, 90Practice Workbook with Examples: 79-81, 94-96, 196-198Standardized Test Practice Workbook: 27, 32, 70Warm-Up Transparencies and Daily Homework Quiz: 32,33, 37, 38, 76, 77


2. Generate a quadratic function from its roots or its graph.

PE/TE: 306-312, 596-597Additional TE: 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586DTRP: Chapter Resource Books: Ch 5: 105-117; Ch 10: 21-35



3. Use the parent function to sketch graphs and to investigate, describe, and predict theeffects of changes in a, h, and k on the graphs of y = a(x – h)2 + k form of a function.

PE/TE: 249-255, 595-596Additional TE: 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586DTRP: Chapter Resource Books: Ch 5: 9-23; Ch 10: 21-35




25

4. Use complex numbers to describe the solutions of quadratic equations.

PE/TE: 272, 283, 292, 293Additional TE: 246A, 246B, 246C, 248DTRP: Chapter Resource Books: Ch 5: 51-91

Practice Workbook with Examples: 88-96Standardized Test Practice Workbook: 30-32Warm-Up Transparencies and Daily Homework Quiz: 35-38


B. Quadratic Equations and Inequalities

1. Formulate quadratic equations and inequalities to solve problems.

PE/TE: 246-247, 248, 249-255, 256-263, 264-270, 271, 272-280, 281,282-290, 291-298, 299-305, 306-312, 313, 314, 315, 316, 317,318-319, 597




2. Solve quadratic equations and inequalities including solutions from the complexnumber system.

PE/TE: 246-247, 248, 249-255, 256-263, 264-270, 271, 272-280, 281,282-290, 291-298, 299-305, 306-312, 313, 314, 315, 316, 317,318-319


Practice Workbook with Examples: 79-102Warm-Up Transparencies and Daily Homework Quiz: 32-39, 41



26

3. Analyze the solutions of quadratic equations using discriminants, and solve quadraticequations using the quadratic formula.

PE/TE: 291-297Additional TE: 246A, 246B, 246C, 248DTRP: Chapter Resource Books: Ch 5: 63-76



4. Using graphing calculators and computer algebra systems, compare and translatebetween algebraic and graphical solutions of quadratic equations.

PE/TE: 252, 259, 265, 271, 283, 291-292, 308Additional TE: 246A, 246B, 246C, 248DTRP: Chapter Resource Books: Ch 5: 77-91



C. Radical Functions and Absolute Value Functions

1. Represent radical and absolute value functions in algebraic, tabular, graphical, andverbal forms using paper and pencil, graphing calculators, computer algebra, andspreadsheet technologies.

PE/TE: 122-127, 431-436Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398DTRP: Chapter Resource Books: Ch 2: 104-117; Ch 7: 64-75

Basic Skills Workbook: 85, 87, 89, 90Practice Workbook with Examples: 43-45, 142-144Standardized Test Practice Workbook: 15, 49Warm-Up Transparencies and Daily Homework Quiz: 17,19, 55, 56



27

2. Solve square root and absolute value equations and inequalities using graphs, tables,and algebraic methods. Verify solutions using graphing calculators, computer algebrasystems, and spreadsheets.

PE/TE: 50-55, 438-440Additional TE: 1A, 1B, 1D, 398A, 398B, 398C, 398DTRP: Chapter Resource Books: Ch 1: 91-105; Ch 7: 76-91

Practice Workbook with Examples: 19-21, 145-147Standardized Test Practice Workbook: 7, 49Warm-Up Transparencies and Daily Homework Quiz: 8, 10,56, 57


3. Analyze situations modeled by square root and absolute value functions, formulateequations or inequalities, and solve problems.

PE/TE: 124, 433, 440Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398DTRP: Chapter Resource Books: Ch 2: 118-131; Ch 7: 63-91

Practice Workbook with Examples: 43-45, 142-147Standardized Test Practice Workbook: 15, 48, 49Warm-Up Transparencies and Daily Homework Quiz: 17,19, 48, 49



28

IV. Rational and Exponential Functions

A. Rational Functions

1. Represent rational functions in algebraic, tabular, graphical, and verbal forms usingpaper and pencil, graphing calculators, computer algebra, and spreadsheettechnologies.

PE/TE: 530-531, 532, 533, 534-539, 540-546, 547-553, 554-560, 561,562-567, 468-574, 575, 576, 577, 578, 579, 580-581




2. Solve problem situations using direct and inverse variation.

PE/TE: 94, 534-535, 536Additional TE: 530A, 530B, 530C, 530DTRP: Chapter Resource Books: Ch 9: 9-23



B. Exponential Functions

1. Represent exponential functions in algebraic, tabular, graphical, and verbal formsusing paper and pencil, graphing calculators, computer algebra, and spreadsheettechnologies.

PE/TE: 465-472, 474-479, 481Additional TE: 462A, 462B, 462C, 462DTRP: Chapter Resource Books: Ch 8: 9-36

Practice Workbook with Examples: 151-156Standardized Test Practice Workbook: 55, 56Warm-Up Transparencies and Daily Homework Quiz: 59-61



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2. Analyze a situation modeled by an exponential function, formulate an equation orinequality, and solve the problem.

PE/TE: 467-468, 476, 482Additional TE: 462A, 462B, 462C, 462DTRP: Chapter Resource Books: Ch 8: 9-21



South Carolina Mathematics Standards for Algebra 2 - …€¦ · · 2002-04-30South Carolina...

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Transcript of South Carolina Mathematics Standards for Algebra 2 - …€¦ · · 2002-04-30South Carolina...