correlated to the South Carolina Mathematics Standards for Algebra 2 5/2002 2001 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 i Introduction to McDougal Littell Algebra 2 © 2001 Grades 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 and flexible for the teacher. Lessons include many features that provide learning support for a variety of students. Some Special Features • • • • • • • • • • • Prerequisite skill practice is provided on Study Guide pages and in the Mixed Review section of 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 the chapter. A number of opportunities for teachers to introduce lessons with easy-to-follow activities are included 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 additional examples, problem-solving help, homework help, data updates, career links, and application extensions. Numerous exercises in each lesson allow teachers more flexibility in making assignments and save 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 the book. Test Preparation is included in every lesson to provide daily practice and test-taking strategies to prepare students for a variety of state and national assessments. Teachers are supported by a wealth of ancillary materials. A complete listing of all program components is provided on the following page. ii McDougal Littell Algebra 2 © 2001 Components Pupil’s Edition Teacher’s Edition Other Ancillaries Resources in Spanish Multi-Language Glossary English–Spanish Chapter Reviews and Tests South Carolina Support for McDougal Littell Algebra 2 South Carolina Block Scheduling Lesson Plans Teacher’s Resource Package Chapter Resource Books 1–14 Tips for New Teachers Parent Guide for Student Success Strategies for Reading Mathematics Lesson Plans and Lesson Plans for Block Scheduling Warm-Up Exercises and Daily Homework Quiz Starting Points: Alternative Lesson Openers Quick Catch-Up for Absent Students Resource Book Answers Prerequisite Skills Review Practice (Levels A, B, C) Reteaching with Practice Challenge: Skills and Applications Cumulative Review Activity Support Masters Graphing Calculator Activities with Keystrokes Cooperative Learning Activities Real-Life and Interdisciplinary Applications Math and History Applications Daily Homework Quiz Lesson Quizzes Chapter Review Games and Activities Chapter Tests (Levels A, B, C) SAT/ACT Chapter Test Alternative Assessment with Rubrics and Math Journal Project with Rubric Other Transparencies: Starting Points: Alternative Lesson Opener Transparency Package Extra Example Transparencies with Standardized Test Practice Answer Transparencies for Checking Homework Workbooks: Basic Skills Workbook: Diagnosis and Remediation Practice Workbook with Examples Standardized Test Practice Workbook Technology: Electronic Lesson Presentations CD-ROM Electronic Teacher Tools CD-ROM Instant Replay: Video Review Games with Video Resource Book Personal Student Tutor CD-ROM Time-Saving Test and Practice Generator CD-ROM Internet support (www.mcdougallittell.com), including an online lesson planner Worked-out Solution Key Online Lesson Planner Guide Basic Skills Workbook: Diagnosis and Remediation, Teacher’s Edition Practice Workbook with Examples, Teacher’s Edition Standardized Test Practice Workbook, Teacher’s Edition Warm-up Transparencies and Daily Homework Quiz iii McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Process Standards Problem Solving Standard Instructional programs from prekindergarten through grade 12 should enable all students to accomplish the following: • build new mathematical knowledge through problem solving PE/TE: Additional TE: TRP: 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, 230236, 256-263, 264-270, 281, 282-289, 299-305, 379, 396397, 380-386, 421, 422-429, 437-444, 473, 474-479, 501508, 533, 534-539, 568-574, 584-585, 622, 623-631, 632638, 674, 675-680, 689-690, 738, 739-745, 753-754, 764765, 791, 792-798, 839, 840-847, 855-861, 892-893, 929932 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 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: 2450, 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: 2234, 49-63 Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69 Practice Workbook with Examples: 7-9, 13-21, 34-36, 46-54, 61-63, 73-78, 82-87, 91-93, 97-99, 127-129, 139141, 145-147, 154-156, 166-168, 175-177, 190-192, 208213, 223-225, 244-246, 259-261, 276-278, 280-282 Standardized Test Practice Workbook: 3, 5-7, 12, 1619, 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) PE = Pupil’s Edition, TE = Teacher’s Edition, TRP = Teacher’s Resource Package Blackline masters for the Warm-Up Transparencies and Daily Homework Quiz can be found in the Chapter Resource Books. 1 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Other Ancillaries: • Warm-Up Transparencies and Daily Homework Quiz: 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 Extra Examples Transparencies with Standardized Test 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, 147148, 157-159, 166-168, 181-183, 198-202, 212-213, 246247, 259-261, 265-267 solve problems that arise in mathematics and in other contexts PE/TE: Additional TE: TRP: 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, 584585, 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 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 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: 116128; Ch 7: 76-91; Ch 8: 79-104; Ch 9: 78-91; Ch 10: 920, 90-103; Ch 13: 90-102; Ch 14: 49-63, 64-77 Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69 Practice Workbook with Examples: 7-21, 46-54, 61-68, 76-78, 82-87, 97-102, 127-129, 145-147, 166-171, 190192, 193-195, 211-213, 268-270, 283-285 (continued on next page) 2 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Other Ancillaries: • Standardized Test Practice Workbook: 3, 4-7, 16-17, 21, 26, 28, 29, 33, 34, 43, 49, 60, 61, 68, 69, 75, 94, 98, 99 Warm-Up Transparencies and Daily Homework Quiz: 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 Extra Examples Transparencies with Standardized Test 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: Additional TE: TRP: Other Ancillaries: 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 1A, 1B, 1C, 1D Chapter Resource Books: Ch 1: 64-77 Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Warm-Up Transparencies and Daily Homework Quiz: 6, 7 Extra Examples Transparencies with Standardized Test Practice: 13-16 3 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 • monitor and reflect on the process of mathematical problem solving PE/TE: Additional TE: TRP: Other Ancillaries: 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 1A, 1B, 1C, 1D Chapter Resource Books: Ch 1: 64-77 Basic Skills Workbook: 46-51, 52-57, 58-63, 64-69 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Warm-Up Transparencies and Daily Homework Quiz: 6, 7 Extra Examples Transparencies with Standardized Test Practice: 13-16 4 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Reasoning and Proof Standard Instructional programs from prekindergarten through grade 12 should enable all students to accomplish the following: • recognize reasoning and proof as fundamental aspects of mathematics PE/TE: Additional TE: TRP: Other Ancillaries: • 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 64A, 64B, 64C, 64D, 698A, 698B, 698D Chapter Resource Books: Ch 2: 63-77; Ch 12: 80-93 Basic Skills Workbook: 64-69 Practice Workbook with Examples: 34-36, 244-246 Standardized Test Practice Workbook: 12, 86 Warm-Up Transparencies and Daily Homework Quiz: 14, 15, 94, 95 Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 make and investigate mathematical conjectures PE/TE: Additional TE: TRP: Other Ancillaries: 99, 100-105, 147, 222, 379, 421, 473, 533, 674, 738, 741745, 839, 926-928 64A, 64B, 64C, 64D, 698A, 698B, 698D 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: 80-93 Basic Skills Workbook: 34-36, 244-246 Practice Workbook with Examples: 12, 86 Warm-Up Transparencies and Daily Homework Quiz: 14, 15, 94, 95 Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 5 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 • develop and evaluate mathematical arguments and proof PE/TE: Additional TE: TRP: Other Ancillaries: • 8, 10, 49, 56, 80, 96, 99, 100-105, 147, 194-195, 212, 220, 222, 255, 261, 278, 279, 281, 304, 357, 379, 396397, 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 64A, 64B, 64C, 64D, 698A, 698B, 698D 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: 53 Basic Skills Workbook: 64-69 Practice Workbook with Examples: 34-36, 244-246 Standardized Test Practice Workbook: 12, 86 Warm-Up Transparencies and Daily Homework Quiz: 14, 15, 94, 95 Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 select and use various types of reasoning and methods of proof PE/TE: Additional TE: TRP: Other Ancillaries: 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 64A, 64B, 64C, 64D, 698A, 698B, 698D Chapter Resource Books: Ch 2: 63-77; Ch 12: 80-93 Basic Skills Workbook: 64-69 Practice Workbook with Examples: 34-36, 244-246 Standardized Test Practice Workbook: 12, 86 Warm-Up Transparencies and Daily Homework Quiz: 14, 15, 94, 95 Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 6 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Communication Standard Instructional programs from prekindergarten through grade 12 should enable all students to accomplish the following: • organize and consolidate their mathematical thinking through communication PE/TE: Additional TE: TRP: Other Ancillaries: • 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, 584585, 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 1A, 1B, 1C, 1D 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: 53 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Warm-Up Transparencies and Daily Homework Quiz: 6, 7 Extra Examples Transparencies with Standardized Test Practice: 13-16 communicate their mathematical thinking coherently and clearly to peers, teachers, and others PE/TE: Additional 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, 584585, 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 1A, 1B, 1C, 1D (continued on next page) 7 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 TRP: Other Ancillaries: • 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: 53 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Warm-Up Transparencies and Daily Homework Quiz: 6, 7 Extra Examples Transparencies with Standardized Test Practice: 13-16 analyze and evaluate the mathematical thinking and strategies of others PE/TE: Additional TE: TRP: Other Ancillaries: 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 1A, 1B, 1C, 1D 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: 53 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Warm-Up Transparencies and Daily Homework Quiz: 6, 7 Extra Examples Transparencies with Standardized Test Practice: 13-16 8 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 • use the language of mathematics to express mathematical ideas precisely PE/TE: Additional TE: TRP: Other Ancillaries: 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 1A, 1B, 1C, 1D 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: 53 Basic Skills Workbook: 1-7, 8-13, 14-18, 25-29, 64-69, 81-84, 91-95 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Warm-Up Transparencies and Daily Homework Quiz: 6, 7 Extra Examples Transparencies with Standardized Test Practice: 13-16 9 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Connections Standard Instructional programs from prekindergarten through grade 12 should enable all students to accomplish the following: • recognize and use connections among mathematical ideas PE/TE: Additional TE: TRP: 6, 8, 10, 15, 23, 24, 28, 29, 30, 31, 33-40, 54, 55, 61, 6774, 72, 73, 82-89, 90, 97, 98, 99, 100-106, 107, 133, 139145, 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, 380388, 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 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 Chapter Resource Books: Ch 1: 50-77; Ch 2: 9-20, 3650, 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, 92104; Ch 8: 92-104; Ch 9: 24-36; Ch 10: 9-20, 36-49, 7689; Ch 12: 40-52, 94-106; Ch 13: 9-24, 90-102; Ch 14: 9-21 Basic Skills Workbook: 46-63, 71-89, 81-84 Practice Workbook with Examples: 10-12, 13-15, 2224, 28-30, 34-36, 46-48, 52-57, 64-66, 76-78, 79-81, 9799, 100-102, 124-126, 127-129, 142-144, 148-150, 169171, 178-180, 208-210, 235-237, 247-249, 250-252, 268270, 271-273, 274-276, 283-285 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, 95 (continued on next page) 10 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Other Ancillaries: • Warm-Up Transparencies and Daily Homework Quiz: 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 Extra Examples Transparencies with Standardized Test 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, 160162, 166-170, 184-186, 190-192, 198-200, 223-225, 235239, 254-258 understand how mathematical ideas interconnect and build on one another to produce a coherent whole PE/TE: Additional TE: TRP: 6, 8, 10, 15, 23, 24, 28, 29, 30, 31, 33-40, 54, 55, 61, 6774, 72, 73, 82-89, 90, 97, 98, 99, 100-106, 107, 133, 139145, 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, 380388, 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 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 Chapter Resource Books: Ch 1: 50-77; Ch 2: 9-20, 3650, 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, 92104; Ch 8: 92-104; Ch 9: 24-36; Ch 10: 9-20, 36-49, 7689; Ch 12: 40-52, 94-106; Ch 13: 9-24, 90-102; Ch 14: 9-21 Basic Skills Workbook: 46-63, 71-89, 91-110 Practice Workbook with Examples: 10-12, 13-15, 2224, 28-30, 34-36, 46-48, 52-57, 64-66, 76-78, 79-81, 9799, 100-102, 124-126, 127-129, 142-144, 148-150, 169171, 178-180, 208-210, 235-237, 247-249, 250-252, 268270, 271-273, 274-276, 283-285 (continued on next page) 11 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Other Ancillaries: • 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, 95 Warm-Up Transparencies and Daily Homework Quiz: 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 Extra Examples Transparencies with Standardized Test 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, 160162, 166-170, 184-186, 190-192, 198-200, 223-225, 235239, 254-258 recognize and apply mathematics in contexts outside of mathematics PE/TE: Additional TE: TRP: Other Ancillaries: 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 1A, 1B, 1C, 1D, 246A, 246B, 246C, 248D, 320A, 320B, 320C, 320D, 462A, 462B, 462C, 462D, 766A, 766B, 766C, 766D, 828A, 828B, 828D 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: 64-77 Practice Workbook with Examples: 10-15, 100-102, 127-129, 169-171, 268-270, 283-285 Standardized Test Practice Workbook: 4, 5, 34, 43, 61, 94, 99 Warm-Up Transparencies and Daily Homework Quiz: 5-7, 39, 41, 49, 51, 65, 66, 103, 105, 109, 110 Extra Examples Transparencies with Standardized Test Practice: 11-16, 97-99, 121-123, 160-162, 254-255, 268-270 12 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Representation Standard Instructional programs from prekindergarten through grade 12 should enable all students to accomplish the following: • create and use representations to organize, record, and communicate mathematical ideas PE/TE: Additional TE: TRP: Other Ancillaries: 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 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D, 698A, 698B, 698C, 698D 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: 53 Basic Skills Workbook: 64-69 Practice Workbook with Examples: 34-36, 148-150, 244-249 Standardized Test Practice Workbook: 12, 50, 86, 87 Warm-Up Transparencies and Daily Homework Quiz: 14, 15, 57, 59, 94, 95, 97 Extra Examples Transparencies with Standardized Test Practice: 35-37, 141-143, 233-236 13 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 • select, apply, and translate among mathematical representations to solve problems PE/TE: Additional TE: TRP: Other Ancillaries: 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 1A, 1B, 1C, 1D, 64A, 64B, 64C, 64D, 136A, 136B, 136C, 136D, 196A, 196B, 196D, 246A, 246B, 246C, 248D, 320A, 320B, 320C, 320D 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: 83 Basic Skills Workbook: 64-69, 73, 76-80, 81-84, 85-89 Practice Workbook with Examples: 13-15, 34-36, 4648, 52-54, 76-78, 100-102, 127-129 Standardized Test Practice Workbook: 5, 12, 16, 18, 26, 34, 43 Warm-Up Transparencies and Daily Homework Quiz: 6, 7, 14, 15, 19-22, 30, 32, 39, 40, 49, 51 Extra Examples Transparencies with Standardized Test Practice: 13-16, 35-37, 46-48, 52-53, 75-76, 97-99, 121-123 14 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 • use representations to model and interpret physical, social, and mathematical phenomena PE/TE: Additional TE: TRP: Other Ancillaries: 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, 623631, 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 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 Chapter Resource Books: Ch 1: 50-77; Ch 2: 9-20, 3650, 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: 80106; Ch 13: 90-102; Ch 14: 9-34; 65-77 Basic Skills Workbook: 46-69, 71-89 Practice Workbook with Examples: 10-15, 22-24, 2830, 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, 283-285 Standardized 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, 99 Warm-Up Transparencies and Daily Homework Quiz: 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, 105107, 109, 110 Extra Examples Transparencies with Standardized Test 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, 169173, 198-200, 233-236, 254-261, 268-270 15 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 Curriculum Standards I. Understanding Functions A. Properties of Functions 1. Identify the mathematical domains and ranges of functions for a variety of situations both from graphical, tabular, and algebraic representations. PE/TE: Additional TE: TRP: Other Ancillaries: 67, 331, 415-416, 424, 432, 466, 475, 481, 489, 541, 547, 814, 831, 834 398A, 398B, 398C, 398D Chapter Resource Books: Ch 7: 34-47 Practice Workbook with Examples: 136-138 Standardized Test Practice Workbook: 46 Warm-Up Transparencies and Daily Homework Quiz: 53, 54 Extra Examples Transparencies with Standardized Test Practice: 131-132 2. Determine reasonable domain and range values for given problem situations. PE/TE: Additional TE: TRP: Other Ancillaries: 70, 85, 124, 165, 258, 284, 294, 347, 361, 368, 375, 519, 542, 549, 842 64A, 64B, 64C, 64D Chapter Resource Books: Ch 2: 9-20 Practice Workbook with Examples: 22-24 Standardized Test Practice Workbook: 8 Warm-Up Transparencies and Daily Homework Quiz: 10, 11 Extra Examples Transparencies with Standardized Test Practice: 22-25 PE = Pupil’s Edition, TE = Teacher’s Edition, TRP = Teacher’s Resource Package Blackline masters for the Warm-Up Transparencies and Daily Homework Quiz can be found in the Chapter Resource Books. 16 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 3. Collect data and record results, organize the data, make scatter-plots, and fit the curves to the appropriate parent function using graphing calculator technology and computer software. PE/TE: Additional TE: TRP: Other Ancillaries: 94, 99, 101-102, 107, 307-308, 381-382, 509-510, 511-512, 535, 863-864 64A, 64B, 64C, 64D, 246A, 246B, 246C, 248D, 320A, 320B, 320C, 320D, 462A, 462B, 462C, 462D, 828A, 828B, 828D Chapter Resource Books: Ch 2: 63-77; Ch 5: 105-117; Ch 6: 116-128; Ch 8: 92-104; Ch 14: 64-77 Basic Skills Workbook: 71-89 Practice Workbook with Examples: 34-36, 100-102, 127-129, 169-171, 283, 285 Standardized Test Practice Workbook: 12, 34, 43, 61, 99 Warm-Up Transparencies and Daily Homework Quiz: 14, 15, 39, 41, 49, 51, 65, 66, 109, 110 Extra Examples Transparencies with Standardized Test Practice: 35-37, 97-99, 121-123, 160-162, 268-270 4. Recognize that real-world phenomenon can be modeled by specific functions, and make predictions, decisions, and critical judgments using the model. Graphing calculator technology and computer software are to be used for data organization and curve fitting. PE/TE: Additional TE: TRP: Other Ancillaries: Real-world applications appear throughout the text. For specific examples see: 33-34, 124, 165, 232, 307-308, 382, 440, 510, 570, 634, 683, 739-741, 814-815, 863-864 1A, 1B, 1C, 1D, 246A, 246B, 246C, 248D, 698A, 698B, 698D, 766A, 766B, 766C, 766D, 828A, 828B, 828D Chapter Resource Books: Ch 1: 64-77; Ch 5: 105-117; Ch 12: 80-93; Ch 13: 90-102; Ch 14: 64-77 Practice Workbook with Examples: 13-15, 100-102, 244-246, 268-270, 283-285 Standardized Test Practice Workbook: 5, 34, 86, 94, 99 Warm-Up Transparencies and Daily Homework Quiz: 6, 7, 39, 40, 94, 95, 103, 105, 109, 110 Extra Examples Transparencies with Standardized Test Practice: 13-16, 97-99, 233-234, 254-255, 268-270 17 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 5. Determine changes in slope relative to the change in the independent variable. PE/TE: Additional TE: TRP: Other Ancillaries: 75-81 64A, 64B, 64C, 64D Chapter Resource Books: Ch 2: 21-35 Practice Workbook with Examples: 25-27 Standardized Test Practice Workbook: 9 Warm-Up Transparencies and Daily Homework Quiz: 11, 12 Extra Examples Transparencies with Standardized Test Practice: 26-28 B. Solving Equations and Inequalities 1. Analyze situations and formulate systems of equations or inequalities in two or more unknowns to solve problems. PE/TE: Additional TE: TRP: Other Ancillaries: 136-137, 139-145, 146, 147, 148-155, 156-162, 163-169, 170175, 176, 177-184, 185, 186, 187, 188, 189, 190-191, 232, 634 136A, 136B, 136C, 136D Chapter Resource Books: Ch 3: 9-91 Practice Workbook with Examples: 46-63 Standardized Test Practice Workbook: 16-21 Warm-Up Transparencies and Daily Homework Quiz: 1924, 26 Extra Examples Transparencies with Standardized Test Practice: 46-61 2. Use algebraic methods, graphs, tables, and matrices to solve systems of equations or inequalities and verify solutions using computer algebra systems, spreadsheets, and graphing calculators. PE/TE: Additional TE: TRP: Other Ancillaries: 136-137, 139-145, 146, 147, 148-155, 156-162, 163-169, 170175, 176, 177-184, 185, 186, 187, 188, 189, 190-191, 231-232, 237-238, 300, 632-638 136A, 136B, 136C, 136D, 196A, 196B, 196D, 586A, 586B, 586C, 586D Chapter Resource Books: Ch 3: 9-91; Ch 4: 65-79; Ch 10: 90-103 Practice Workbook with Examples: 46-63, 76-78, 211-213 Standardized Test Practice Workbook: 16-21, 26, 75 Warm-Up Transparencies and Daily Homework Quiz: 1924, 26, 30, 32, 81, 83 Extra Examples Transparencies with Standardized Test Practice: 46-61, 75-76, 201-202 18 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 3. Identify the kinds of equations that can and cannot be solved in each subset of the complex number system. PE/TE: Additional TE: TRP: Other Ancillaries: 272, 347, 359-365, 366-371 320A, 320B, 320C, 320D Chapter Resource Books: Ch 6: 75-87 Practice Workbook with Examples: 118-123 Standardized Test Practice Workbook: 40, 41 Warm-Up Transparencies and Daily Homework Quiz: 4648 Extra Examples Transparencies with Standardized Test Practice: 115-118 4. Demonstrate that no solution or multiple solutions may exist. PE/TE: Additional TE: TRP: Other Ancillaries: 140, 177-179, 366, 439, 504, 568-569, 800-801, 857 136A, 136B, 136D, 530A, 530B, 530D, 766A, 766B, 766D Chapter Resource Books: Ch 3: 80-91; Ch 9: 78-91; Ch 13: 64-77 Practice Workbook with Examples: 61-63, 190-192, 262-264 Standardized Test Practice Workbook: 21, 68, 92 Warm-Up Transparencies and Daily Homework Quiz: 24, 26, 73, 75, 101, 102 Extra Examples Transparencies with Standardized Test Practice: 59-61, 181-183, 248-250 5. Use computer algebra systems, spreadsheets, and graphing calculators to solve linear programming problems. PE/TE: Additional TE: TRP: Other Ancillaries: 163-168, 169 136A, 136B, 136C, 136D Chapter Resource Books: Ch 3: 51-66 Practice Workbook with Examples: 55-57 Standardized Test Practice Workbook: 19 Warm-Up Transparencies and Daily Homework Quiz: 100, 101 Extra Examples Transparencies with Standardized Test Practice: 54-56 19 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 6. Identify and use properties related to operations with matrices to justify the steps in solving applied problems. PE/TE: Additional TE: TRP: Other Ancillaries: 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 196A, 196B, 196C, 196D Chapter Resource Books: Ch 4: 9-79 Practice Workbook with Examples: 64-78 Standardized Test Practice Workbook: 22-26 Warm-Up Transparencies and Daily Homework Quiz: 2630, 32 Extra Examples Transparencies with Standardized Test Practice: 62-76 20 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 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 1 (y = ), exponential (y = ax), and absolute value (y = x ) functions. x PE/TE: Additional TE: TRP: Other Ancillaries: 122, 249, 431, 465, 488, 540, 595, 601, 609, 615, 831, 834 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D, 462A, 462B, 462C, 462D, 530A, 530B, 530C, 530D Chapter Resource Books: Ch 2: 104-117; Ch 7: 34-75; Ch 8: 9-36, 50-64; Ch 9: 24-36; Ch 14: 271-273 Basic Skills Workbook: 85, 87, 89, 90 Practice Workbook with Examples: 43-45, 136-144, 151-156, 160-162, 178-180, 271-273 Standardized Test Practice Workbook: 17, 19, 46-48, 55, 56, 58, 64, 95 Warm-Up Transparencies and Daily Homework Quiz: 17, 19, 53-56, 59-61, 62, 63, 69, 70, 105, 106 Extra Examples Transparencies with Standardized Test Practice: 43-45, 131-138, 144-148, 152-154, 169-170, 256-258 2. With and without using a graphing calculator, investigate, describe, and predict the effects of vertical and horizontal translations, reflections, and dilations on parent functions. PE/TE: Additional TE: TRP: Other Ancillaries: 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, 840846 246A, 246B, 246C, 248D, 398A, 398B, 398D, 462A, 462B, 462C, 462D, 530A, 530B, 530C, 530D, 586A, 586B, 586C, 586D, 828A, 828B, 828C, 828D Chapter Resource Books: Ch 5: 9-23; Ch 7: 64-75; Ch 8: 921; Ch 9: 24-36; Ch 10: 50-103; Ch 14: 22-34 Practice Workbook with Examples: 79-81, 142-144, 151-153, 178-180, 202-213, 274-276 Standardized Test Practice Workbook: 27, 48, 55, 64, 72-75, 96 Warm-Up Transparencies and Daily Homework Quiz: 32, 33, 55, 56, 59, 60, 69, 70, 78-81, 83, 106, 107 Extra Examples Transparencies with Standardized Test Practice: 77-79, 136-138, 144-146, 169-170, 193-202, 259-161 21 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 3. Perform the composition of functions. PE/TE: Additional TE: TRP: Other Ancillaries: 416, 417, 423, 488 398A, 398B, 398C, 398D Chapter Resource Books: Ch 7: 34-47 Practice Workbook with Examples: 136-138 Standardized Test Practice Workbook: 46 Warm-Up Transparencies and Daily Homework Quiz: 53, 54 Extra Examples Transparencies with Standardized Test Practice: 131-132 4. Recognize inverse relationships between various functions. PE/TE: Additional TE: TRP: Other Ancillaries: 422-428, 488, 792-797 398A, 398B, 398C, 398D, 766A, 766B, 766C, 766D Chapter Resource Books: Ch 7: 48-62; Ch 13: 50-63 Practice Workbook with Examples: 139-141, 259-261 Standardized Test Practice Workbook: 47, 91 Warm-Up Transparencies and Daily Homework Quiz: 54, 55, 100, 101 Extra Examples Transparencies with Standardized Test Practice: 133-135, 246-247 B. Conic Sections 1. Explain each conic section as the intersection of a plane and cone(s). PE/TE: Additional TE: TRP: Other Ancillaries: 622, 630 (Ex. 70) 586A, 586B, 586D Chapter Resource Books: Ch 10: 79 Practice Workbook with Examples: 208-210 Standardized Test Practice Workbook: 74 Warm-Up Transparencies and Daily Homework Quiz: 80, 81 Extra Examples Transparencies with Standardized Test Practice: 198-200 22 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 2. Identify symmetries from graphs of conic sections. PE/TE: Additional TE: TRP: Other Ancillaries: 249-250, 596 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 9-23 Basic Skills Workbook: 85, 86, 89, 90 Practice Workbook with Examples: 79-81 Standardized Test Practice Workbook: 27 Warm-Up Transparencies and Daily Homework Quiz: 32, 33 Extra Examples Transparencies with Standardized Test Practice: 77-79 3. Complete the square to determine the type, shape, and location of a conic section. PE/TE: Additional TE: TRP: Other Ancillaries: 281-289, 626, 627 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 63-76 Practice Workbook with Examples: 91-93 Standardized Test Practice Workbook: 31 Warm-Up Transparencies and Daily Homework Quiz: 3637 Extra Examples Transparencies with Standardized Test Practice: 88-91 23 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 III. Quadratic, Square Root, and Absolute Value Functions A. Quadratic Functions 1. Represent quadratic functions in algebraic, tabular, graphical, and verbal forms using paper and pencil, graphing calculators, computer algebra, and spreadsheet technologies. PE/TE: Additional TE: TRP: Other Ancillaries: 249-255, 258, 259, 265, 266, 291-292, 595-600 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586D Chapter Resource Books: Ch 5: 9-23, 77-91; Ch 10: 21-35 Basic Skills Workbook: 85, 86, 89, 90 Practice Workbook with Examples: 79-81, 94-96, 196-198 Standardized Test Practice Workbook: 27, 32, 70 Warm-Up Transparencies and Daily Homework Quiz: 32, 33, 37, 38, 76, 77 Extra Examples Transparencies with Standardized Test Practice: 77-79, 92-93, 187-189 2. Generate a quadratic function from its roots or its graph. PE/TE: Additional TE: TRP: Other Ancillaries: 306-312, 596-597 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586D Chapter Resource Books: Ch 5: 105-117; Ch 10: 21-35 Practice Workbook with Examples: 100-102, 196-198 Standardized Test Practice Workbook: 34, 70 Warm-Up Transparencies and Daily Homework Quiz: 39, 41, 76, 77 Extra Examples Transparencies with Standardized Test Practice: 97-99, 187-189 3. Use the parent function to sketch graphs and to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of y = a(x – h)2 + k form of a function. PE/TE: Additional TE: TRP: Other Ancillaries: 249-255, 595-596 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586D Chapter Resource Books: Ch 5: 9-23; Ch 10: 21-35 Practice Workbook with Examples: 79-81, 196-198 Standardized Test Practice Workbook: 27, 70 Warm-Up Transparencies and Daily Homework Quiz: 32, 33, 76, 77 Extra Examples Transparencies with Standardized Test Practice: 77-79, 187-189 24 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 4. Use complex numbers to describe the solutions of quadratic equations. PE/TE: Additional TE: TRP: Other Ancillaries: 272, 283, 292, 293 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 51-91 Practice Workbook with Examples: 88-96 Standardized Test Practice Workbook: 30-32 Warm-Up Transparencies and Daily Homework Quiz: 3538 Extra Examples Transparencies with Standardized Test Practice: 85-93 B. Quadratic Equations and Inequalities 1. Formulate quadratic equations and inequalities to solve problems. PE/TE: Additional TE: TRP: Other Ancillaries: 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 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 9-117 Practice Workbook with Examples: 79-102 Standardized Test Practice Workbook: 27-34 Warm-Up Transparencies and Daily Homework Quiz: 3239, 41 Extra Examples Transparencies with Standardized Test Practice: 77-99 2. Solve quadratic equations and inequalities including solutions from the complex number system. PE/TE: Additional TE: TRP: Other Ancillaries: 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 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 9-117 Practice Workbook with Examples: 79-102 Warm-Up Transparencies and Daily Homework Quiz: 3239, 41 Extra Examples Transparencies with Standardized Test Practice: 77-99 25 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 3. Analyze the solutions of quadratic equations using discriminants, and solve quadratic equations using the quadratic formula. PE/TE: Additional TE: TRP: Other Ancillaries: 291-297 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 63-76 Practice Workbook with Examples: 94-96 Standardized Test Practice Workbook: 32 Warm-Up Transparencies and Daily Homework Quiz: 37, 38 Extra Examples Transparencies with Standardized Test Practice: 92-93 4. Using graphing calculators and computer algebra systems, compare and translate between algebraic and graphical solutions of quadratic equations. PE/TE: Additional TE: TRP: Other Ancillaries: 252, 259, 265, 271, 283, 291-292, 308 246A, 246B, 246C, 248D Chapter Resource Books: Ch 5: 77-91 Practice Workbook with Examples: 94-96 Standardized Test Practice Workbook: 32 Warm-Up Transparencies and Daily Homework Quiz: 37, 38 Extra Examples Transparencies with Standardized Test Practice: 92-93 C. Radical Functions and Absolute Value Functions 1. Represent radical and absolute value functions in algebraic, tabular, graphical, and verbal forms using paper and pencil, graphing calculators, computer algebra, and spreadsheet technologies. PE/TE: Additional TE: TRP: Other Ancillaries: 122-127, 431-436 64A, 64B, 64C, 64D, 398A, 398B, 398D Chapter Resource Books: Ch 2: 104-117; Ch 7: 64-75 Basic Skills Workbook: 85, 87, 89, 90 Practice Workbook with Examples: 43-45, 142-144 Standardized Test Practice Workbook: 15, 49 Warm-Up Transparencies and Daily Homework Quiz: 17, 19, 55, 56 Extra Examples Transparencies with Standardized Test Practice: 43-45, 136-138 26 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 2. Solve square root and absolute value equations and inequalities using graphs, tables, and algebraic methods. Verify solutions using graphing calculators, computer algebra systems, and spreadsheets. PE/TE: Additional TE: TRP: Other Ancillaries: 50-55, 438-440 1A, 1B, 1D, 398A, 398B, 398C, 398D Chapter Resource Books: Ch 1: 91-105; Ch 7: 76-91 Practice Workbook with Examples: 19-21, 145-147 Standardized Test Practice Workbook: 7, 49 Warm-Up Transparencies and Daily Homework Quiz: 8, 10, 56, 57 Extra Examples Transparencies with Standardized Test Practice: 20-21, 139-140 3. Analyze situations modeled by square root and absolute value functions, formulate equations or inequalities, and solve problems. PE/TE: Additional TE: TRP: Other Ancillaries: 124, 433, 440 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D Chapter Resource Books: Ch 2: 118-131; Ch 7: 63-91 Practice Workbook with Examples: 43-45, 142-147 Standardized Test Practice Workbook: 15, 48, 49 Warm-Up Transparencies and Daily Homework Quiz: 17, 19, 48, 49 Extra Examples Transparencies with Standardized Test Practice: 43-45, 136-140 27 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 IV. Rational and Exponential Functions A. Rational Functions 1. Represent rational functions in algebraic, tabular, graphical, and verbal forms using paper and pencil, graphing calculators, computer algebra, and spreadsheet technologies. PE/TE: Additional TE: TRP: Other Ancillaries: 530-531, 532, 533, 534-539, 540-546, 547-553, 554-560, 561, 562-567, 468-574, 575, 576, 577, 578, 579, 580-581 530A, 530B, 530C, 530D Chapter Resource Books: Ch 9: 9-105 Practice Workbook with Examples: 175-192 Standardized Test Practice Workbook: 63-68 Warm-Up Transparencies and Daily Homework Quiz: 6873, 75 Extra Examples Transparencies with Standardized Test Practice: 166-183 2. Solve problem situations using direct and inverse variation. PE/TE: Additional TE: TRP: Other Ancillaries: 94, 534-535, 536 530A, 530B, 530C, 530D Chapter Resource Books: Ch 9: 9-23 Practice Workbook with Examples: 175-177 Standardized Test Practice Workbook: 63 Warm-Up Transparencies and Daily Homework Quiz: 68, 69 Extra Examples Transparencies with Standardized Test Practice: 166-168 B. Exponential Functions 1. Represent exponential functions in algebraic, tabular, graphical, and verbal forms using paper and pencil, graphing calculators, computer algebra, and spreadsheet technologies. PE/TE: Additional TE: TRP: Other Ancillaries: 465-472, 474-479, 481 462A, 462B, 462C, 462D Chapter Resource Books: Ch 8: 9-36 Practice Workbook with Examples: 151-156 Standardized Test Practice Workbook: 55, 56 Warm-Up Transparencies and Daily Homework Quiz: 5961 Extra Examples Transparencies with Standardized Test Practice: 144-148 28 McDougal Littell Algebra 2 © 2001 correlated to the South Carolina Mathematics Standards for Algebra 2 2. Analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem. PE/TE: Additional TE: TRP: Other Ancillaries: 467-468, 476, 482 462A, 462B, 462C, 462D Chapter Resource Books: Ch 8: 9-21 Practice Workbook with Examples: 151-153 Standardized Test Practice Workbook: 55 Warm-Up Transparencies and Daily Homework Quiz: 59, 60 Extra Examples Transparencies with Standardized Test Practice: 144-146 29