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 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 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 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 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 iii
McDougal Littell Algebra 2 2001 correlated to the 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: 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, 49-63 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, 139-141, 145-147, 154-156, 166-168, 175-177, 190-192, 208-213, 223-225, 244-246, 259-261, 276-278, 280-282 Standardized 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) PE = Pupil s Edition, TE = Teacher s Edition, TRP = Teacher s Resource Package Blackline masters for the Quiz can be found in the Chapter Resource Books. 1
Other Ancillaries: 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, 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, 64-77 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, 190-192, 193-195, 211-213, 268-270, 283-285 (continued on next page) 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 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: 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, 1D TRP: 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 Quiz: 6, 7 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16 3
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 Additional TE: 1A, 1B, 1C, 1D TRP: 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 Quiz: 6, 7 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16 4
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: 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, 698D TRP: 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 Quiz: 14, 15, 94, 95 Other Ancillaries: Extra Examples Transparencies with Standardized Test 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, 698D TRP: 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 Quiz: 14, 15, 94, 95 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 5
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, 698D TRP: 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 Quiz: 14, 15, 94, 95 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 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, 698D TRP: 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 Quiz: 14, 15, 94, 95 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 35-37, 233-234 6
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: 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 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: 53 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Quiz: 6, 7 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16 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) 7
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: 53 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Quiz: 6, 7 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16 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 Additional TE: 1A, 1B, 1C, 1D 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: 53 Practice Workbook with Examples: 13-15 Standardized Test Practice Workbook: 5 Quiz: 6, 7 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16 8
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 Additional TE: 1A, 1B, 1C, 1D 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: 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 Quiz: 6, 7 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16 9
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: 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: 9-21 Basic Skills Workbook: 46-63, 71-89, 81-84 Practice 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 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
Other Ancillaries: 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, 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 to produce 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: 9-21 Basic Skills Workbook: 46-63, 71-89, 91-110 Practice 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) 11
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 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, 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: 64-77 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 Quiz: 5-7, 39, 41, 49, 51, 65, 66, 103, 105, 109, 110 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 11-16, 97-99, 121-123, 160-162, 254-255, 268-270 12
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: 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: 53 Basic Skills Workbook: 64-69 Practice Workbook with Examples: 34-36, 148-150, 244-249 Standardized Test Practice Workbook: 12, 50, 86, 87 Quiz: 14, 15, 57, 59, 94, 95, 97 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 35-37, 141-143, 233-236 13
select, apply, and translate among mathematical representations to solve problems 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: 83 Basic Skills Workbook: 64-69, 73, 76-80, 81-84, 85-89 Practice Workbook with Examples: 13-15, 34-36, 46-48, 52-54, 76-78, 100-102, 127-129 Standardized Test Practice Workbook: 5, 12, 16, 18, 26, 34, 43 Quiz: 6, 7, 14, 15, 19-22, 30, 32, 39, 40, 49, 51 Other Ancillaries: Extra Examples Transparencies with Standardized Test Practice: 13-16, 35-37, 46-48, 52-53, 75-76, 97-99, 121-123 14
use representations to model and interpret physical, social, and mathematical phenomena 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; 65-77 Basic Skills Workbook: 46-69, 71-89 Practice 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, 283-285 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 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, 105-107, 109, 110 Other Ancillaries: 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, 169-173, 198-200, 233-236, 254-261, 268-270 15
I. Understanding Functions A. Properties of Functions Curriculum Standards 1. Identify the mathematical domains and ranges of functions for a variety of situations both from graphical, tabular, and algebraic representations. PE/TE: 67, 331, 415-416, 424, 432, 466, 475, 481, 489, 541, 547, 814, 831, 834 Additional TE: 398A, 398B, 398C, 398D TRP: Chapter Resource Books: Ch 7: 34-47 Practice Workbook with Examples: 136-138 Standardized Test Practice Workbook: 46 Quiz: 53, 54 Practice: 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 Additional TE: 64A, 64B, 64C, 64D TRP: Chapter Resource Books: Ch 2: 9-20 Practice Workbook with Examples: 22-24 Standardized Test Practice Workbook: 8 Quiz: 10, 11 Practice: 22-25 PE = Pupil s Edition, TE = Teacher s Edition, TRP = Teacher s Resource Package Blackline masters for the Quiz can be found in the Chapter Resource Books. 16
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: 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: 64-77 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 Quiz: 14, 15, 39, 41, 49, 51, 65, 66, 109, 110 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: 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 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: 64-77 Practice Workbook with Examples: 13-15, 100-102, 244-246, 268-270, 283-285 Standardized Test Practice Workbook: 5, 34, 86, 94, 99 Quiz: 6, 7, 39, 40, 94, 95, 103, 105, 109, 110 Practice: 13-16, 97-99, 233-234, 254-255, 268-270 17
5. Determine changes in slope relative to the change in the independent variable. PE/TE: 75-81 Additional TE: 64A, 64B, 64C, 64D TRP: Chapter Resource Books: Ch 2: 21-35 Practice Workbook with Examples: 25-27 Standardized Test Practice Workbook: 9 Quiz: 11, 12 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: 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 Additional TE: 136A, 136B, 136C, 136D TRP: Chapter Resource Books: Ch 3: 9-91 Practice Workbook with Examples: 46-63 Standardized Test Practice Workbook: 16-21 Quiz: 19-24, 26 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: 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: 90-103 Practice Workbook with Examples: 46-63, 76-78, 211-213 Standardized Test Practice Workbook: 16-21, 26, 75 Quiz: 19-24, 26, 30, 32, 81, 83 Practice: 46-61, 75-76, 201-202 18
3. Identify the kinds of equations that can and cannot be solved in each subset of the complex number system. PE/TE: 272, 347, 359-365, 366-371 Additional TE: 320A, 320B, 320C, 320D TRP: Chapter Resource Books: Ch 6: 75-87 Practice Workbook with Examples: 118-123 Standardized Test Practice Workbook: 40, 41 Quiz: 46-48 Practice: 115-118 4. Demonstrate that no solution or multiple solutions may exist. PE/TE: 140, 177-179, 366, 439, 504, 568-569, 800-801, 857 Additional TE: 136A, 136B, 136D, 530A, 530B, 530D, 766A, 766B, 766D TRP: 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 Quiz: 24, 26, 73, 75, 101, 102 Practice: 59-61, 181-183, 248-250 5. Use computer algebra systems, spreadsheets, and graphing calculators to solve linear programming problems. PE/TE: 163-168, 169 Additional TE: 136A, 136B, 136C, 136D TRP: Chapter Resource Books: Ch 3: 51-66 Practice Workbook with Examples: 55-57 Standardized Test Practice Workbook: 19 Quiz: 100, 101 Practice: 54-56 19
6. Identify and use properties related to operations with matrices to justify the steps in solving 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 Additional TE: 196A, 196B, 196C, 196D TRP: Chapter Resource Books: Ch 4: 9-79 Practice Workbook with Examples: 64-78 Standardized Test Practice Workbook: 22-26 Quiz: 26-30, 32 Practice: 62-76 20
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 = 1 x ), exponential (y = ax ), and absolute value (y = x ) functions. PE/TE: 122, 249, 431, 465, 488, 540, 595, 601, 609, 615, 831, 834 Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D, 462A, 462B, 462C, 462D, 530A, 530B, 530C, 530D TRP: 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 Quiz: 17, 19, 53-56, 59-61, 62, 63, 69, 70, 105, 106 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: 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: 22-34 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 Quiz: 32, 33, 55, 56, 59, 60, 69, 70, 78-81, 83, 106, 107 Practice: 77-79, 136-138, 144-146, 169-170, 193-202, 259-161 21
3. Perform the composition of functions. PE/TE: 416, 417, 423, 488 Additional TE: 398A, 398B, 398C, 398D TRP: Chapter Resource Books: Ch 7: 34-47 Practice Workbook with Examples: 136-138 Standardized Test Practice Workbook: 46 Quiz: 53, 54 Practice: 131-132 4. Recognize inverse relationships between various functions. PE/TE: 422-428, 488, 792-797 Additional TE: 398A, 398B, 398C, 398D, 766A, 766B, 766C, 766D TRP: 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 Quiz: 54, 55, 100, 101 Practice: 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, 586D TRP: Chapter Resource Books: Ch 10: 79 Practice Workbook with Examples: 208-210 Standardized Test Practice Workbook: 74 Quiz: 80, 81 Practice: 198-200 22
2. Identify symmetries from graphs of conic sections. PE/TE: 249-250, 596 Additional TE: 246A, 246B, 246C, 248D TRP: 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 Quiz: 32, 33 Practice: 77-79 3. Complete the square to determine the type, shape, and location of a conic section. PE/TE: 281-289, 626, 627 Additional TE: 246A, 246B, 246C, 248D TRP: Chapter Resource Books: Ch 5: 63-76 Practice Workbook with Examples: 91-93 Standardized Test Practice Workbook: 31 Quiz: 36-37 Practice: 88-91 23
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: 249-255, 258, 259, 265, 266, 291-292, 595-600 Additional TE: 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586D TRP: 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 Quiz: 32, 33, 37, 38, 76, 77 Practice: 77-79, 92-93, 187-189 2. Generate a quadratic function from its roots or its graph. PE/TE: 306-312, 596-597 Additional TE: 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586D TRP: 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 Quiz: 39, 41, 76, 77 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: 249-255, 595-596 Additional TE: 246A, 246B, 246C, 248D, 586A, 586B, 586C, 586D TRP: 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 Quiz: 32, 33, 76, 77 Practice: 77-79, 187-189 24
4. Use complex numbers to describe the solutions of quadratic equations. PE/TE: 272, 283, 292, 293 Additional TE: 246A, 246B, 246C, 248D TRP: Chapter Resource Books: Ch 5: 51-91 Practice Workbook with Examples: 88-96 Standardized Test Practice Workbook: 30-32 Quiz: 35-38 Practice: 85-93 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 Additional TE: 246A, 246B, 246C, 248D TRP: Chapter Resource Books: Ch 5: 9-117 Practice Workbook with Examples: 79-102 Standardized Test Practice Workbook: 27-34 Quiz: 32-39, 41 Practice: 77-99 2. Solve quadratic equations and inequalities including solutions from the complex number 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 Additional TE: 246A, 246B, 246C, 248D TRP: Chapter Resource Books: Ch 5: 9-117 Practice Workbook with Examples: 79-102 Quiz: 32-39, 41 Practice: 77-99 25
3. Analyze the solutions of quadratic equations using discriminants, and solve quadratic equations using the quadratic formula. PE/TE: 291-297 Additional TE: 246A, 246B, 246C, 248D TRP: Chapter Resource Books: Ch 5: 63-76 Practice Workbook with Examples: 94-96 Standardized Test Practice Workbook: 32 Quiz: 37, 38 Practice: 92-93 4. Using graphing calculators and computer algebra systems, compare and translate between algebraic and graphical solutions of quadratic equations. PE/TE: 252, 259, 265, 271, 283, 291-292, 308 Additional TE: 246A, 246B, 246C, 248D TRP: Chapter Resource Books: Ch 5: 77-91 Practice Workbook with Examples: 94-96 Standardized Test Practice Workbook: 32 Quiz: 37, 38 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: 122-127, 431-436 Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398D TRP: 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 Quiz: 17, 19, 55, 56 Practice: 43-45, 136-138 26
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: 50-55, 438-440 Additional TE: 1A, 1B, 1D, 398A, 398B, 398C, 398D TRP: 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 Quiz: 8, 10, 56, 57 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: 124, 433, 440 Additional TE: 64A, 64B, 64C, 64D, 398A, 398B, 398C, 398D TRP: 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 Quiz: 17, 19, 48, 49 Practice: 43-45, 136-140 27
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: 530-531, 532, 533, 534-539, 540-546, 547-553, 554-560, 561, 562-567, 468-574, 575, 576, 577, 578, 579, 580-581 Additional TE: 530A, 530B, 530C, 530D TRP: Chapter Resource Books: Ch 9: 9-105 Practice Workbook with Examples: 175-192 Standardized Test Practice Workbook: 63-68 Quiz: 68-73, 75 Practice: 166-183 2. Solve problem situations using direct and inverse variation. PE/TE: 94, 534-535, 536 Additional TE: 530A, 530B, 530C, 530D TRP: Chapter Resource Books: Ch 9: 9-23 Practice Workbook with Examples: 175-177 Standardized Test Practice Workbook: 63 Quiz: 68, 69 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: 465-472, 474-479, 481 Additional TE: 462A, 462B, 462C, 462D TRP: Chapter Resource Books: Ch 8: 9-36 Practice Workbook with Examples: 151-156 Standardized Test Practice Workbook: 55, 56 Quiz: 59-61 Practice: 144-148 28
2. Analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem. PE/TE: 467-468, 476, 482 Additional TE: 462A, 462B, 462C, 462D TRP: Chapter Resource Books: Ch 8: 9-21 Practice Workbook with Examples: 151-153 Standardized Test Practice Workbook: 55 Quiz: 59, 60 Practice: 144-146 29