correlated to the South Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2 Online 5/2002 2003
TABLE OF CONTENTS Online Algebra 1: Concepts and Skills correlated to the South Carolina Process Standards for Mathematics...1 Online Algebra 1: Concepts and Skills correlated to the South Carolina Curriculum Standards for Algebra 1 and Mathematics for the Technologies 1 and 2...16 Standards found in the course outlines for Mathematics for the Technologies 1 and 2 are marked with a. i
Introduction to Online Algebra 1: Concepts and Skills 2003 Grades 9 12 Online Algebra 1: Concepts and Skills presents a broad range of topics with a focus on the development of algebraic concepts and the acquisition of skills. The text uses multiple representations algebraic, verbal, and graphic explanations in every lesson. Online Algebra 1: Concepts and Skills has a clear, consistent, readable lesson format with concise goals, clear explanations, highlighted vocabulary, visuals and diagrams, summary boxes, and a variety of mathematical examples. Important concepts are made understandable to all students through instructional diagrams, graphics and color-coding, activities, and numerous examples throughout the textbook. The following are some of the key features. Concepts and Skills teaches the development of problem solving through examples and a variety of practice exercises. Students become more adept at solving problems through the skills review before each chapter as well as homework exercises correlated to the examples. Study Guides at the beginning of each chapter give a preview of the upcoming topics along with a quick skills review. The Guides also include a study strategy for the chapter. There are ample, well-balanced practice sets with exercises keyed to examples in the lesson. Student Help notes throughout the book assist students in locating help with particular problems; some, for example, list previous pages that have useful information or reference the McDougal Littell Web site. Mixed Reviews in every lesson help students to maintain skills. Standardized test preparation is found in every lesson as well as at the end of every chapter. The Skills Review Handbook at the back of the student book provides explanations, examples and practice for skills that are prerequisite to the course. Teachers are supported by a wealth of ancillary materials. A complete listing of all program components is provided on the following page. ii
Online Algebra 1: Concepts and Skills 2003 Components Pupil s Edition Teacher s Edition Teacher s Resource Package Chapter Resource Books 1 12 Tips for New Teachers Parent Guide for Student Success Prerequisite Skills Review Strategies for Reading Mathematics Lesson Plans and Lesson Plans for Block Scheduling Warm-Up Exercises and Daily Homework Quiz Activity Support Masters Alternative Lesson Openers Graphing Calculator Activities with Keystrokes Practice (Levels A, B) Reteaching with Practice Quick Catch-Up for Absent Students Learning Activities Interdisciplinary and Real-Life Applications Challenge: Skills and Applications Quizzes Chapter Review Games and Activities Chapter Tests (Levels A, B) SAT/ACT Chapter Test Alternative Assessment with Rubrics and Math Journal Project with Rubric Cumulative Review Resource Book Answers Worked-out Solution Key Algebra Tile Investigations Basic Skills Workbook: Diagnosis and Remediation, Teacher s Edition Standardized Test Practice Workbook, Teacher s Edition Practice Workbook with Examples, Teacher s Edition Warm-up Transparencies with Daily Homework Quiz Online Lesson Planner Guide Other Ancillaries Resources in Spanish Key Skills Review: Preparing for Volume 2 Pacing and Lesson Planning Guide for Volumes 1 & 2 Planning and Pacing Guide for Teaching Algebra 1 over 2 Years Multi-Language Glossary Student Algebra Tile Kit Overhead Algebra Tile Kit Teaching Mathematics Using Technology 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: Preparation for Middle School Math, Grade 8 Preparation for Middle School Math, Grade 8, Teacher s Edition 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
Online Algebra 1: Concepts and Skills 2003 correlated to the South Carolina Mathematics Standards for Algebra 1 and the Course Outline for Mathematics for the Technologies 1 and 2 Process Standards Problem Solving Standard Instructional programs from pre-kindergarten through grade 12 should enable all students to accomplish the following: build new mathematical knowledge through problem solving PE/TE: 22-23, 24-29, 57, 58, 59, 77, 78-83, 84-85, 86-91 92, 93-98, 99, 100-106, 131, 132-137, 138-143, 144-149, 150, 151-156, 163-169, 170, 198-199, 209, 210-215, 228, 229-235, 242, 243-249, 250, 276-277, 278-284, 305, 306-312, 323-328, 329, 330-335, 336-341, 342-347, 348-353, 354, 355-360, 384-385, 389-394, 395, 396-401, 402-408, 409-414, 415-416, 417-422, 423, 424-430, 433, 441-442, 443-448, 475, 476-481, 505-510, 518-519, 520-525, 526-531, 533-539, 546, 547-552, 562-563, 567, 568-573, 574, 575-580, 588-593, 594, 595-601, 602, 603-608, 691, 692-697, 704-709, 715, 716-721, 722-723, 724-729, 756-757 Additional TE: 1A, 1B, 62A, 62B, 62E, 62F, 128A, 128B, 128E, 200A, 200B, 200E, 200F, 266A, 266B, 266E, 266F, 320A, 320B, 320E, 320F, 368A, 368B, 368E, 368F, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 496F, 564A, 564B, 564E, 564F, 688A, 688B, 688E, 688F TRP: Chapter Resource Books: Ch 1: 47-58, 71-81; Ch 2: 34-46, 47-58, 59-70, 71-83; Ch 3: 9-20, 21-31, 32-45, 46-58, 70-83; Ch 4: 22-32, 56-68, 81-96; Ch 5: 20-31, 67-80; Ch 6: 9-19, 20-31, 32-45, 46-56, 57-67, 68-80; Ch 7: 9-20, 21-31, 32-43, 44-55, 56-67, 68-81; Ch 8: 9-12, 72-85; Ch 9: 21-31, 44-55, 56-70, 71-81, 94-104; Ch 10: 9-20, 21-33, 47-57, 58-69, 70-82; Ch 12: 9-19, 31-42, 54-65, 66-80 (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. Standards found in the course outlines for Mathematics for the Technologies 1 and 2 are marked with a. 1
Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 41-44, 62-66, 68-71, 77-81, 82-86 Practice Workbook with Examples: 10-12, 16-18, 31-33, 34-36, 37-39, 40-42, 49-51, 52-54, 55-57, 58-60, 64-66, 79-81, 88-90, 94-96, 103-105, 115-117, 118-120, 121-123, 124-126, 127-129, 130-132, 133-135, 136-138, 142-144, 145-147, 148-150, 151-153, 154-156, 157-159, 160-162, 175-177, 184-186, 190-192, 193-195, 196-198, 202-204, 205-207, 208-210, 214-216, 217-219, 220-222, 250-252, 253-255, 256-258, 262-264, 265-267 Standardized Test Practice Workbook: 4, 6, 11-14, 17-20, 22, 27, 30, 32, 35, 39, 40-45, 52-57, 58, 63, 66, 68, 69, 72, 73, 74, 76, 77, 78, 88, 90, 92, 93 Warm-Up Transparencies with Daily Homework Quiz: 2, 3, 7, 8, 13-17, 20-26, 31, 32, 34-37, 40, 41, 44, 46-53, 55-60, 62, 63, 67, 68, 71-77, 79-85, 96-102 Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q24, Q25-Q29, Q30-Q34, S1-S6, S7-S12, S13- S18, S19-S24, S25-S28, S29-S34, M22-M26, M27-M31 Practice: 7-8, 12-13, 22-29, 34-39, 42, 51, 55-56, 59-60, 65-66, 73-86, 89-100, 109-110, 115-116, 119-123, 126-131, 134-139, 159-160, 163-164, 167-170 solve problems that arise in mathematics and in other contexts PE/TE: 4, 5, 6, 7, 12, 13, 14, 17, 20, 22-23, 26, 28, 34, 35, 36-41, 44, 46, 47, 48, 52, 53, 55, 57, 58, 59, 67, 69, 70, 73, 75, 77, 82, 84-85, 88, 90, 92, 95, 97, 99, 102, 105, 109, 111, 117, 131, 132-137, 138-143, 144-149, 150, 151-156, 159, 161, 162, 163-169, 170, 173, 175, 179, 183, 184, 185, 187, 191, 198-199, 207, 209, 214, 220, 226, 228, 234, 237, 239, 240, 242, 247, 248, 249, 257, 271, 274, 276-277, 282, 289, 290, 296, 300, 302, 305, 308, 311, 323-328, 329, 330-335, 336-341, 342-347, 348-353, 354, 357, 359, 365, 371, 372, 384-385, 389-394, 395, 396-401, 402-408, 409-414, 415-416, 421, 423, 428, 430, 433, 441-442, 447, 453, 457, 459, 466, 471, 473, 475, 486, 503, 505-510, 513, 516, 518-519, 524, 525, 526-531, 533-539, 544, 545, 546, 562-563, 567, 572, 574, 579, 583, 584, 586, 588-593, 594, 598, 602, 612, 619, 621, 635, 637, 641, 643, 650, 651, 656, 661, 668, 672, 675, 691, 694, 696, 700, 702, 704-709, 715, 720, 722-723, 725, 734, 737, 738, 739, 742, 745, 756-757, 781-782 (continued on next page) 2
Additional TE: 1A, 1B, 128A, 128B, 128E, 320A, 320B, 320E, 320F, 368A, 368B, 368E, 496A, 496B, 496E, 496F, 564A, 564B, 564E, 564F, 688A, 688B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 3: 9-20, 21-31, 32-45, 46-58, 70-83; Ch 6: 9-19, 20-31, 32-45, 46-56, 57-67, 68-80, 81-92; Ch 7: 9-20, 21-31, 32-43, 44-55; Ch 9: 21-31, 56-70, 71-81; Ch 10: 47-57; Ch 12: 31-42 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 13-18, 19-24, 41-44, 46-50, 77-81, 82-86, 94-97, 98-102, 103-107 Practice Workbook with Examples: 16-18, 49-51, 52-54, 55-57, 58-60, 64-66, 118-120, 121-123, 124-126, 127-129, 130-132, 133-135, 142-144, 145-147, 148-150, 151-153, 284-286, 193-195, 196-198, 214-216, 256-258 Standardized Test Practice Workbook: 6, 17-20, 22, 40-46, 52-55, 66, 69, 70, 76, 90 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 20-26, 40-47, 55-59, 71, 72, 74-76, 82, 83, 98, 99 Other Ancillaries: Teaching Mathematics Using Technology: G14-G19, G20-G25, G26-G32, G47-G52, Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q24, Q25- Q29, Q30-Q34, S1-S6, S7-S12, S13-S18, S19-S24, S25-S28, S29- S34, M22-M26, M27-M31 Practice: 12-13, 34-39, 42, 75-86, 89-94, 115-116, 121-123, 134-135, 163-164 apply and adapt a variety of appropriate strategies to solve problems PE/TE: 36-41, 57, 58, 59, 95, 109, 117, 134, 145, 159, 165, 183, 184, 185, 191, 300, 338, 391, 398, 406, 409-414, 433, 672, 700, 725, 781-782 Additional TE: 1A, 1B, 368A, 368B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 7: 44-55 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 13-18, 19-24, 41-44, 46-50, 77-81, 82-86, 94-97, 98-102, 103-107 Practice Workbook with Examples: 16-18, 151-153 Standardized Test Practice Workbook: 6, 55 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 58, 59 (continued on next page) 3
Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q24, Q25-Q29, Q30-Q34, S1-S6, S7-S12, S13- S18, S19-S24, S25-S28, S29-S34, M22-M26, M27-M31 Practice: 12-13, 34-39, 42, 75-86, 89-94, 115-116, 121-123, 134-135, 163-164 monitor and reflect on the process of mathematical problem solving PE/TE: 36-41, 57, 58, 59, 95, 109, 117, 134, 145, 159, 165, 183, 184, 185, 191, 300, 338, 391, 398, 406, 409-414, 433, 672, 700, 725, 781-782 Additional TE: 1A, 1B, 368A, 368B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 7: 44-55 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 13-18, 19-24, 41-44, 46-50, 77-81, 82-86, 94-97, 98-102, 103-107 Practice Workbook with Examples: 16-18, 151-153 Standardized Test Practice Workbook: 6, 55 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 58, 59 Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q24, Q25-Q29, Q30-Q34, S1-S6, S7-S12, S13- S18, S19-S24, S25-S28, S29-S34, M22-M26, M27-M31 Practice: 12-13, 34-39, 42, 75-86, 89-94, 115-116, 121-123, 134-135, 163-164 4
Reasoning and Proof Standard Instructional programs from pre-kindergarten through grade 12 should enable all students to accomplish the following: recognize reasoning and proof as fundamental aspects of mathematics PE/TE: 13, 19, 22-23, 46, 69, 73, 75, 77, 84-85, 92, 99, 119-120, 137, 148, 161, 176, 188, 207, 215, 219, 226, 227, 233, 234, 248, 298-303, 327, 333, 334, 354, 358, 364, 413, 415, 416, 421, 423, 461, 467, 472, 475, 487, 503, 509, 515, 516, 519, 544, 571, 572, 579, 585, 599, 611, 633-644, 650, 697, 708, 713, 715, 719, 720, 726, 740-745, 750 Additional TE: 630A, 630B, 630E, 688A, 688B, 688F TRP: Chapter Resource Books: Ch 11: 9-19; Ch 12: 103-113 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 229-231, 274-276 Standardized Test Practice Workbook: 81, 96 Warm-Up Transparencies with Daily Homework Quiz: 88, 89, 104, 105 Other Ancillaries: Teaching Mathematics Using Technology: G3, G7, G13, G19, G25, G32, G36, G41, G46, G52, R5, R9, R14, R20, R25, R30, R34, R35, Q6, Q12, Q18, Q24, Q29, Q34, F5, F11, F17, F23, F29, F35, F40, S6, S12, S17, S18, S24, S28, S34, M5, M10, M16, M21, M26, M31, M37, M44 Practice: 144-145, 174-176 make and investigate mathematical conjectures PE/TE: 77, 84-85, 92, 119, 207, 209, 242, 305, 329, 384-385, 519, 715, 741, 744, 745 Additional TE: 688A, 688B, 688F TRP: Chapter Resource Books: Ch 12: 103-113 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 274-276 Standardized Test Practice Workbook: 96 Warm-Up Transparencies with Daily Homework Quiz: 104, 105 Other Ancillaries: Teaching Mathematics Using Technology: G3, G7, G13, G19, G25, G32, G36, G41, G46, G52, R5, R9, R14, R20, R25, R30, R34, R35, Q6, Q12, Q18, Q24, Q29, Q34, F5, F11, F17, F23, F29, F35, F40, S6, S12, S17, S18, S24, S28, S34, M5, M10, M16, M21, M26, M31, M37, M44 Practice: 22-27, 51, 73-74, 77, 119-120, 167-168, 174-176 5
develop and evaluate mathematical arguments and proof PE/TE: 13, 19, 22-23, 46, 69, 73, 75, 77, 84-85, 92, 99, 119-120, 131, 137, 148, 150, 161, 176, 188, 198-199, 207, 209, 215, 219, 226, 227, 228, 233, 234, 242, 248, 276-277, 298-303, 305, 327, 329, 333, 334, 354, 358, 364, 384-385, 413, 415, 416, 421, 423, 441, 461, 467, 472, 475, 487, 503, 509, 515, 516, 518-519, 544, 546, 562-563, 567, 571, 572, 574, 579, 585, 594, 599, 602, 611, 633-644, 650, 691, 697, 708, 713, 715, 719, 720, 722-723, 726, 740-745, 750, 756-757 Additional TE: 630A, 630B, 630E, 688A, 688B, 688F TRP: Chapter Resource Books: Ch 11: 9-19; Ch 12: 103-113 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 229-231, 274-276 Standardized Test Practice Workbook: 81, 96 Warm-Up Transparencies with Daily Homework Quiz: 88, 89, 104, 105 Other Ancillaries: Teaching Mathematics Using Technology: G3, G7, G13, G19, G25, G32, G36, G41, G46, G52, R5, R9, R14, R20, R25, R30, R34, R35, Q6, Q12, Q18, Q24, Q29, Q34, F5, F11, F17, F23, F29, F35, F40, S6, S12, S17, S18, S24, S28, S34, M5, M10, M16, M21, M26, M31, M37, M44 Practice: 144-145, 174-176 select and use various types of reasoning and methods of proof PE/TE: 13, 19, 22-23, 46, 69, 73, 75, 77, 84-85, 92, 99, 119-120, 137, 148, 161, 176, 188, 207, 215, 219, 226, 227, 233, 234, 248, 298-303, 327, 333, 334, 354, 358, 364, 413, 415, 416, 421, 423, 461, 467, 472, 475, 487, 503, 509, 515, 516, 519, 544, 571, 572, 579, 585, 599, 611, 633-644, 650, 697, 708, 713, 715, 719, 720, 726, 740-745, 750 Additional TE: 630A, 630B, 630E, 688A, 688B, 688F TRP: Chapter Resource Books: Ch 11: 9-19; Ch 12: 103-113 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 229-231, 274-276 Standardized Test Practice Workbook: 81, 96 Warm-Up Transparencies with Daily Homework Quiz: 88, 89, 104, 105 (continued on next page) 6
Other Ancillaries: Teaching Mathematics Using Technology: G3, G7, G13, G19, G25, G32, G36, G41, G46, G52, R5, R9, R14, R20, R25, R30, R34, R35, Q6, Q12, Q18, Q24, Q29, Q34, F5, F11, F17, F23, F29, F35, F40, S6, S12, S17, S18, S24, S28, S34, M5, M10, M16, M21, M26, M31, M37, M44 Practice: 144-145, 174-176 7
Communication Standard Instructional programs from pre-kindergarten through grade 12 should enable all students to accomplish the following: organize and consolidate their mathematical thinking through communication PE/TE: 1, 22-23, 30-35, 36-41, 50, 57, 63, 77, 84-85, 92, 95, 99, 109, 117, 129, 131, 134, 140, 145, 150, 154, 155, 159, 165, 183-185, 191, 198-199, 201, 209, 214, 226, 228, 242, 267, 276-277, 300, 305, 321, 329, 338, 354, 372, 384-385, 387, 391, 398, 400, 406, 409, 410, 411, 415-416, 423, 439, 441-442, 475, 497, 518-519, 546, 562-563, 565, 567, 570, 574, 583, 594, 602, 631, 666, 672, 689, 691, 700, 715, 722-723, 756-757 Additional TE: 1A, 1B TRP: Chapter Resource Books: Ch 1: 59-70, 71-81 Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48 Basic Skills Workbook: 62-66 Practice Workbook with Examples: 13-15, 16-18 Standardized Test Practice Workbook: 5, 6 Warm-Up Transparencies with Daily Homework Quiz: 6-8 Other Ancillaries: Teaching Mathematics Using Technology: T10, T15, G3, G7, G13, G19, G25, G32, G41, G52, R14, R30, Q12, Q18, Q29, F5, F10, F11, F17, F22, F23, F28, S12, M31, M43, M44 Practice: 9-13 communicate their mathematical thinking coherently and clearly to peers, teachers, and others PE/TE: 1, 22-23, 30-35, 36-41, 50, 57, 63, 77, 84-85, 92, 95, 99, 109, 117, 129, 131, 134, 140, 145, 150, 154, 155, 159, 165, 183-185, 191, 198-199, 201, 209, 214, 226, 228, 242, 267, 276-277, 300, 305, 321, 329, 338, 354, 372, 384-385, 387, 391, 398, 400, 406, 409, 410, 411, 415-416, 423, 439, 441-442, 475, 497, 518-519, 546, 562-563, 565, 567, 570, 574, 583, 594, 602, 631, 666, 672, 689, 691, 700, 715, 722-723, 756-757 Additional TE: 1A, 1B TRP: Chapter Resource Books: Ch 1: 59-70, 71-81 Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48 Basic Skills Workbook: 62-66 Practice Workbook with Examples: 13-15, 16-18 Standardized Test Practice Workbook: 5, 6 Warm-Up Transparencies with Daily Homework Quiz: 6-8 (continued on next page) 8
Other Ancillaries: Teaching Mathematics Using Technology: T10, T15, G3, G7, G13, G19, G25, G32, G41, G52, R14, R30, Q12, Q18, Q29, F5, F10, F11, F17, F22, F23, F28, S12, M31, M43, M44 Practice: 9-11 analyze and evaluate the mathematical thinking and strategies of others PE/TE: 22-23, 36-41, 77, 84-85, 92, 99, 104, 110, 116, 131, 142, 147, 150, 155, 161, 198-199, 209, 228, 242, 276-277, 296, 305, 328, 329, 334, 340, 354, 384-385, 400, 405, 415-416, 420, 423, 427, 441-442, 453, 466, 475, 509, 514, 518-519, 544, 546, 562-563, 567, 571, 574, 591, 594, 602, 607, 620, 655, 661, 667, 691, 702, 707, 715, 722-723, 756-757 Additional TE: 1A, 1B TRP: Chapter Resource Books: Ch 1: 71-81 Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48 Basic Skills Workbook: 62-66, 68-71 Practice Workbook with Examples: 16-18 Standardized Test Practice Workbook: 6 Warm-Up Transparencies with Daily Homework Quiz: 7, 8 Other Ancillaries: Teaching Mathematics Using Technology: T10, T15, G3, G7, G13, G19, G25, G32, G41, G52, R14, R30, Q12, Q18, Q29, F5, F10, F11, F17, F22, F23, F28, S12, M31, M43, M44 Practice: 12-13 9
use the language of mathematics to express mathematical ideas precisely PE/TE: 1, 6, 12, 18, 22-23, 27, 33, 39, 45, 51, 63, 68, 74, 77, 81, 84-85, 89, 92, 96, 99, 103, 110, 116, 129, 131, 135, 141, 147, 150, 154, 155, 160, 166, 174, 180, 186, 198-199, 201, 206, 209, 213, 219, 225, 228, 233, 239, 242, 246, 255, 267, 272, 276-277, 281, 288, 294, 301, 305, 309, 321, 329, 333, 339, 345, 351, 354, 358, 364, 370, 384-385, 387, 392, 399, 405, 412, 415-416, 420, 423, 427, 439, 441-442, 446, 452, 458, 465, 472, 475, 479, 485, 497, 502, 508, 514, 518-519, 523, 529, 536, 543, 546, 550, 562-563, 565, 567, 571, 574, 578, 585, 591, 594, 599, 602, 606, 613, 620, 631, 636, 642, 649, 655, 660, 667, 674, 689, 691, 695, 701, 707, 713, 715, 719, 722-723, 727, 733, 738, 743, 756-757 Additional TE: 1A, 1B TRP: Chapter Resource Books: Ch 1: 59-70, 71-81 Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48 Basic Skills Workbook: 62-66 Practice Workbook with Examples: 13-15, 16-18 Standardized Test Practice Workbook: 5, 6 Warm-Up Transparencies with Daily Homework Quiz: 6-8 Other Ancillaries: Teaching Mathematics Using Technology: T10, T15, G3, G7, G13, G19, G25, G32, G41, G52, R14, R30, Q12, Q18, Q29, F5, F10, F11, F17, F22, F23, F28, S12, M31, M43, M44 Practice: 9-13 10
Connections Standard Instructional programs from pre-kindergarten through grade 12 should enable all students to accomplish the following: recognize and use connections among mathematical ideas PE/TE: 5, 6, 7, 8, 12, 14, 20, 22-23, 30-35, 36-41, 47, 48, 55, 70, 136, 171, 174, 178, 179, 181, 209, 210-215, 216-221, 222-227, 228, 239, 242, 243-249, 250, 252-258, 274, 276-277, 298-305, 340, 354, 367-373, 374, 389-394, 395, 400, 409-414, 415, 423, 428, 430, 447, 455-460, 461, 475, 507, 516, 518-519, 520-525, 546, 547-552, 583, 586, 651, 656, 661, 668, 691, 702, 707, 720, 722, 724-729, 734, 738, 745, 772-773, 777-780, 802 Additional TE: 1A, 1B, 200A, 200B, 200E, 200F, 266A, 266B, 266E, 320A, 320B, 320F, 368A, 368B, 368E, 428A, 428B, 428E, 496A, 496B, 496E, 496F, 688A, 688B, 688F TRP: Chapter Resource Books: Ch 1: 59-70, 71-81; Ch 4: 22-32, 33-44, 45-45, 81-96, 97-107; Ch 5: 55-66; Ch 6: 93-104; Ch 7: 9-20, 44-55; Ch 8: 32-44; Ch 9: 44-55, 94-104; Ch 12: 66-80 Algebra Tile Investigations: 1-5, 26-30, 36-41, 42-46, 47-51 Basic Skills Workbook: 35-40, 46-50, 57-61, 68-71, 77-81, 82-86 Practice Workbook with Examples: 13-15, 16-18, 79-81, 82-84, 85-87, 94-96, 97-99, 112-114, 139-141, 142-144, 151-153, 166-168, 190-192, 202-204, 265-267 Standardized Test Practice Workbook: 5, 6, 27-29, 32, 33, 38, 47, 52, 55, 60, 68, 72, 93 Warm-Up Transparencies with Daily Homework Quiz: 6-8, 31-34, 36, 37, 39, 43, 44, 53, 55, 56, 58, 59, 64, 65, 73, 74, 77, 78, 101, 102 Other Ancillaries: Teaching Mathematics Using Technology: T16-T19, T20-T23, T24-T28, G4-G7, G8-G13, R6-R9, Q1-Q6, S19-S24, M22-M26, M27-M31 Practice: 9-13, 51-54, 59-62, 71-72, 87-90, 94, 103-104, 119-120, 126-127, 169-170 11
understand how mathematical ideas interconnect and build on one another to produce a coherent whole PE/TE: 1, 22-23, 30-35, 36-41, 50, 57, 63, 77, 84-85, 92, 95, 99, 109, 117, 129, 131, 134, 140, 145, 150, 154, 155, 159, 165, 183-185, 191, 198-199, 201, 209, 214, 226, 228, 242, 267, 276-277, 300, 305, 321, 329, 338, 354, 372, 384-385, 387, 391, 398, 400, 406, 409, 410, 411, 415-416, 423, 439, 441-442, 475, 497, 518-519, 546, 562-563, 565, 567, 570, 574, 583, 594, 602, 631, 666, 672, 689, 691, 700, 715, 722-723, 756-757 Additional TE: 1A, 1B, 200A, 200B, 200E, 200F, 266A, 266B, 266E, 320A, 320B, 320F, 368A, 368B, 368E, 428A, 428B, 428E, 496A, 496B, 496E, 496F, 688A, 688B, 688F TRP: Chapter Resource Books: Ch 1: 59-70, 71-81; Ch 4: 22-32, 33-44, 45-45, 81-96, 97-107; Ch 5: 55-66; Ch 6: 93-104; Ch 7: 9-20, 44-55; Ch 8: 32-44; Ch 9: 44-55, 94-104; Ch 12: 66-80 Algebra Tile Investigations: 1-5, 26-30, 36-41, 42-46, 47-51 Basic Skills Workbook: 35-40, 46-50, 57-61, 68-71, 77-81, 82-86 Practice Workbook with Examples: 13-15, 16-18, 79-81, 82-84, 85-87, 94-96, 97-99, 112-114, 139-141, 142-144, 151-153, 166-168, 190-192, 202-204, 265-267 Standardized Test Practice Workbook: 5, 6, 27-29, 32, 33, 38, 47, 52, 55, 60, 68, 72, 93 Warm-Up Transparencies with Daily Homework Quiz: 6-8, 31-34, 36, 37, 39, 43, 44, 53, 55, 56, 58, 59, 64, 65, 73, 74, 77, 78, 101, 102 Other Ancillaries: Teaching Mathematics Using Technology: T16-T19, T20-T23, T24-T28, G4-G7, G8-G13, R6-R9, Q1-Q6, S19-S24, M22-M26, M27-M31 Practice: 9-13, 51-54, 59-62, 71-72, 87-90, 94, 103-104, 119-120, 126-127, 169-170 12
recognize and apply mathematics in contexts outside of mathematics PE/TE: 4, 5, 7, 13, 17, 20, 26, 28, 34, 36-41, 46, 52, 53, 57, 67, 69, 70, 73, 75, 82, 88, 90, 95, 97, 102, 105, 109, 111, 117, 134, 136, 140, 142, 145, 155, 159, 161, 162, 165, 167, 173, 174, 175, 179, 183, 184, 185, 187, 191, 207, 214, 220, 234, 237, 240, 247, 248, 249, 257, 271, 274, 282, 289, 290, 300, 302, 308, 311, 325, 327, 334, 338, 340, 343, 346, 352, 357, 359, 365, 371, 372, 391, 393, 398, 406, 407, 409-414, 421, 428, 447, 446, 453, 457, 459, 471, 473, 477, 486, 503, 507, 509, 510, 513, 524, 530, 535, 537, 538, 544, 545, 572, 579, 584, 586, 592, 598, 612, 619, 621, 635, 637, 641, 643, 650, 651, 661, 694, 672, 675, 696, 700, 702, 706, 707, 708, 734, 737, 739, 742 Additional TE: 1A, 1B, 128A, 128B, 368A, 368B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 3: 84-94; Ch 7: 44-55 Basic Skills Workbook: 51-56, 57-61, 62-66 Practice Workbook with Examples: 16-18, 67-69, 151-153 Standardized Test Practice Workbook: 6, 23, 55 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 26, 27, 58, 59 Other Ancillaries: Teaching Mathematics Using Technology: G14-G19, G20-G25, G26-G32, G33-G36, G37-G41, G42-G46, G47-G52 Practice: 12-13, 43-44, 94 13
Representation Standard Instructional programs from pre-kindergarten through grade 12 should enable all students to accomplish the following: create and use representations to organize, record, and communicate mathematical ideas PE/TE: 22-23, 36-41, 50, 57, 95, 109, 117, 134, 145, 159, 165, 183-185, 191, 209, 214, 226, 228, 242, 276-277, 298-304, 305, 329, 338, 354, 372, 384-385, 391, 398, 400, 406, 409, 410, 411, 415, 423, 455-460, 461, 475, 476-481, 482-487, 518-519, 546, 562-563, 570, 583, 666, 672, 691, 700, 715, 722-723, 756-757, 777-779 Additional TE: 1A, 1B, 266A, 266B, 266E, 428A, 428B, 428E, 428F TRP: Chapter Resource Books: Ch 1: 71-81; Ch 5: 55-66; Ch 8: 32-44, 72-85, 86-100 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 51-56, 57-61, 62-66 Practice Workbook with Examples: 16-18, 112-114, 166-168, 175-177, 178-180 Standardized Test Practice Workbook: 6, 38, 60, 63, 64 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 43, 44, 64, 65, 67, 68, 70 Other Ancillaries: Teaching Mathematics Using Technology: T24-T28, G1-G3, G4-G7, G8-G13, Q1-Q6, F6-F11, F12-F17, F18-F23, F24-F29, S19-S24, M1-M5, M6-M10, M11-M16, M17-M21, M22-M26, M27-M31, M32-M37, M38-M44 Practice: 12-13, 71-72, 103-104, 109-112 select, apply, and translate among mathematical representations to solve problems PE/TE: 22-23, 36-41, 50, 57, 77, 84-85, 92, 95, 99, 109, 117, 131, 134, 140, 145, 150, 159, 165, 183-185, 191, 209, 214, 226, 228, 242, 276-277, 298-304, 305, 329, 338, 354, 372, 384-385, 389-394, 395, 398, 400, 406, 409-414, 415, 423, 475, 518-519, 526-531, 532, 546, 562-563, 567, 570, 583, 594, 602, 666, 672, 691, 700, 715, 722-723, 756-757 Additional TE: 1A, 1B, 266A, 266B, 266E, 368A, 368B, 368E, 496A, 496B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 5: 55-66; Ch 7: 9-20, 44-55; Ch 9: 56-70 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 35-40 (continued on next page) 14
Practice Workbook with Examples: 16-18, 112-114, 142-144, 151-153, 193-195 Standardized Test Practice Workbook: 6, 38, 52, 55, 69 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 43, 44, 55, 56, 58, 59, 74, 75 Other Ancillaries: Teaching Mathematics Using Technology: G14-G19, G20-G25, G47-G52, Q1-Q6, S19-S24, M22-M26, M27-M31 Practice: 12-13, 71-72, 89-90, 94, 121-122 use representations to model and interpret physical, social, and mathematical phenomena PE/TE: 22-23, 36-41, 50, 57, 77, 84-85, 92, 95, 109, 117, 131, 134, 145, 150, 159, 165, 171-176, 183-185, 191, 205, 207, 209, 210-215, 216-221, 222, 226, 228, 242, 243-249, 250, 276-277, 298-304, 305, 329, 338, 354, 367-373, 374, 384-385, 388-394, 395, 398, 400, 406, 409-414, 415, 423, 455-460, 461, 475, 476-481, 482-488, 507, 518-519, 520-525, 535, 546, 547-552, 562-563, 567, 570, 583, 594, 602, 639-644, 645, 666, 672, 691, 700, 715, 722-723, 756-757, 777-779 Additional TE: 1A, 1B, 128A, 128B, 128F, 200A, 200B, 200E, 200F, 266A, 266B, 266E, 320A, 320B, 320F, 368A, 368B, 368E, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 630A, 630B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 3: 84-94; Ch 4: 22-32, 33-44, 45-55, 81-96; Ch 5: 55-66; Ch 6: 93-104; Ch 7: 9-20, 44-55; Ch 8: 32-44, 72-85, 86-100; Ch 9: 55-55, 94-104; Ch 11: 20-33 Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51 Basic Skills Workbook: 35-40, 51-56, 57-61, 62-66 Practice Workbook with Examples: 16-18, 67-69, 79-81, 82-84, 85-87, 94-96, 112-114, 139-141, 142-144, 151-153, 166-168, 175-177, 178-180, 190-192, 202-204, 232-234 Standardized Test Practice Workbook: 6, 23, 27-29, 32, 38, 47, 52, 55, 60, 63, 64, 68, 72, 82 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 26, 27, 31-34, 36, 37, 43, 44, 53-56, 58, 59, 64, 65, 67, 68, 70, 73, 74, 77, 79, 89, 90 Other Ancillaries: Teaching Mathematics Using Technology: T24-T28, G1-G3, G4-G7, G8-G13, G14-G19, G33-G36, G37-G41, G42-G46, Q1- Q6, F6-F11, F12-F17, S19-S24, M27-M31 Practice: 12-13, 43-44, 51-53, 59-60, 71-72, 87-90, 94, 103-104, 109-112, 119-120, 126-127, 146-148 15
I. Understanding Functions A. Relationships Curriculum Standards 1. Describe independent and dependent quantities in functional relationships. PE/TE: 48-53, 252, 255, 257, 300, 303, 455, 456, 457, 458, 475, 483, 486, 518, 521, 522, 691, 692, 693, 694 Additional TE: 1A, 1B, 1F, 200A, 200B, 200F, 266A, 266B, 266E, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 496F, 688A, 688B, 688E TRP: Chapter Resource Books: Ch 1: 94-106; Ch 4: 97-107; Ch 5: 55-66; Ch 8: 32-44, 72-85, 86-100; Ch 9: 44-55; Ch 12: 9-19 Algebra Tile Investigations: 31-35 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 22-24, 97-99, 112-114, 166-168, 175-177, 178-180, 190-192, 250-252 Standardized Test Practice Workbook: 8, 33, 38, 60, 63, 64, 68, 88 Warm-Up Transparencies with Daily Homework Quiz: 9, 11, 37, 39, 43, 44, 64, 65, 67, 68, 70, 73, 74, 96, 97 Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, F1-F5 Practice: 16-17, 61-62, 71-72, 103-104, 109-112, 119-120, 159-160 2. Gather and record data or use data sets to determine functional (systematic) relationships between quantities. PE/TE: 48-53, 195, 198-199, 214, 227, 238, 240, 257, 271, 273, 274, 298, 301, 302, 303, 476, 477, 479, 482, 483, 485, 486, 492, 493, 507, 535 Additional TE: 1A, 1B, 1F, 200A, 200B, 200F, 266A, 266B, 266E, 428A, 428B, 428E, 428F TRP: Chapter Resource Books: Ch 1: 94-106; Ch 4: 97-107; Ch 5: 9-19, 55-66; Ch 8: 72-85, 86-100 Algebra Tile Investigations: 31-35 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 22-24, 97-99, 100-102, 112-114, 175-177, 178-180 (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. Standards found in the course outlines for Mathematics for the Technologies 1 and 2 are marked with a. 16
Other Ancillaries: Standardized Test Practice Workbook: 8, 33, 34, 37, 63, 64 Warm-Up Transparencies with Daily Homework Quiz: 9, 11, 37, 38-40, 43, 44, 67, 68, 70 Teaching Mathematics Using Technology: T11-T15, T24-T28, F1-F5, F6-F11, F12-F17, F18-F23, F24-F29 Practice: 16-17, 61-64, 71-72, 109-112 3. Describe functional relationships for given problem situations and write equations, inequalities, and recurrence relations to answer questions arising from the situations. PE/TE: 48-54, 87, 90, 198-199, 218, 219, 220, 252-258, 455-460, 461, 475, 476-481, 482-488, 518, 520-525, 691, 692-697 Additional TE: 1A, 1B, 1F, 200A, 200B, 200F, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 688A, 688B, 688E TRP: Chapter Resource Books: Ch 1: 94-106;Ch 4: 97-107; Ch 8: 32-44, 72-85, 86-100; Ch 9: 44-55; Ch 12: 9-19 Algebra Tile Investigations: 31-35 Practice Workbook with Examples: 22-24, 97-99, 166-168, 175-177, 178-180, 190-192, 250-252 Standardized Test Practice Workbook: 8, 33, 60, 63, 64, 68, 88 Warm-Up Transparencies with Daily Homework Quiz: 9, 11, 37, 39, 84, 85, 67, 68, 70, 73, 74, 88, 89 Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28, F1-F5, F6-F11, F12-F17, F18-F23, F24-F29, F30-F35, F36-F40 Practice: 16-17, 61-62, 103-104, 109-112, 119-120, 159-160 4. Represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities including representations involving computer algebra systems, spreadsheets, and graphing calculators. PE/TE: 22-23, 36-41, 48-54, 57, 77, 78, 84-85, 89, 95, 99, 100, 103, 109, 117, 134, 140, 145, 159, 165, 171-176, 183-185, 191, 209, 210-215, 222-227, 236-241, 242, 243-249, 250, 252-258, 285-290, 298-304, 338, 367-373, 374, 379, 389-394, 395, 400, 409-416, 423, 424-430, 455-460, 461, 475, 476-481, 482-488, 518-519, 520-525, 546, 547-552, 570, 583, 639-644, 645, 666, 672, 691, 692-697, 700, 722-723, 724-729 Additional TE: 1A, 1B, 1F, 62A, 62B, 62F, 128A, 128B, 128E, 128F, 200A, 200B, 200E, 200F, 266A, 266B, 266E, 320A, 320B, 320F, 368A, 368B, 368E, 368F, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 496F, 630A, 630B, 688A, 688B, 688E, 688F (continued on next page) 17
TRP: Chapter Resource Books: Ch 1: 71-81, 94-106; Ch 2: 71-83; Ch 3: 84-94; Ch 4: 33-32, 45-55, 69-80, 81-96, 97-107; Ch 5: 32-42, 55-66; Ch 6: 93-104; Ch 7: 9-20, 44-55, 68-81; Ch 8: 32-44, 72-85, 86-100; Ch 9: 44-55, 94-104; Ch 11: 20-33; Ch 12: 9-19, 66-80 Algebra Tile Investigations: 31-35 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 16-18, 22-24, 40-42, 67-69, 79-81, 85-87, 91-93, 94-96, 97-99, 106-108, 112-114, 139-141, 142-144, 151-153, 157-159, 166-168, 175-177, 178-180, 190-192, 202-204, 232-234, 250-252, 265-267 Standardized Test Practice Workbook: 6, 8, 14, 23, 27, 29, 31-33, 36, 38, 47, 52, 55, 57, 60, 63, 64, 68, 72, 82, 88, 93 Warm-Up Transparencies with Daily Homework Quiz: 7-9, 11, 16, 17, 26, 27, 31-37, 39, 41-44, 53, 55, 56, 58-60, 62, 64, 65, 67, 68, 70, 73, 74, 77, 79, 89, 90, 96, 97, 101, 102 Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T16-T19, T20-T23, T24-T28, F1-F5, F6-F11, F12-F17, F24-F29, F30- F35, F36-F40 Practice: 7-8, 12-13, 16-17, 22-25, 28-29, 43-44, 51, 54, 57-62, 67-68, 71-72, 87-90, 94, 97-98, 103-104, 109-112, 119-120, 126-127, 146-148, 159-160, 169-170 5. Make judgments about units of measure and scales within a system and between systems. PE/TE: 8, 171, 174, 176, 178, 179, 180, 181, 182, 193 Additional TE: 128A, 128B, 128E, 128F TRP: Chapter Resource Books: Ch 3: 84-94, 95-106 Practice Workbook with Examples: 67-69, 70-72 Standardized Test Practice Workbook: 23, 24 Warm-Up Transparencies with Daily Homework Quiz: 26-28 Other Ancillaries: Teaching Mathematics Using Technology: T19 Practice: 43-47 18
6. Interpret and make inferences from explicit and recurrence functional relationships. PE/TE: 22-23, 48-54, 58, 119, 120, 195 Additional TE: 1A, 1B, 1F TRP: Chapter Resource Books: Ch 1: 94-106 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 22-24 Standardized Test Practice Workbook: 8 Warm-Up Transparencies with Daily Homework Quiz: 9, 11 Other Ancillaries: Teaching Mathematics Using Technology: G6, G7, G17, G23, G44, F36-F40 Practice: 16-17 B. Linear and Quadratic Functions and Data Representations 1. Identify and sketch the general forms of linear (y = x) and quadratic (y = x 2 ) parent functions. PE/TE: 242, 243-249, 518-519, 520 Additional TE: 200A, 200B, 200F, 496A, 496B, 496E, 496F TRP: Chapter Resource Books: Ch 4: 81-96; Ch 9: 44-55 Algebra Tile Investigations: 31-35 Practice Workbook with Examples: 94-96, 190-192 Standardized Test Practice Workbook: 32, 68 Warm-Up Transparencies with Daily Homework Quiz: 36, 37, 73, 74 Other Ancillaries: Teaching Mathematics Using Technology: T24-T28, F1-F5, F12-F17 Practice: 59-60, 119-120 2. For a variety of situations, identify and determine reasonable domain and range values for given situations. PE/TE: 49-54, 58, 195, 257, 263, 457, 459, 478, 480, 483, 486, 524, 694, 695, 696 Additional TE: 1A, 1B, 1F, 200A, 200B, 200F, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 496F, 688A, 688B, 688E TRP: Chapter Resource Books: Ch 1: 94-106; Ch 4: 97-107; Ch 8: 32-44, 72-85, 86-100; Ch 9: 44-55; Ch 12: 9-19 Algebra Tile Investigations: 31-35 Practice Workbook with Examples: 22-24, 97-99, 166-168, 175-177, 178-180, 190-192, 250-252 Standardized Test Practice Workbook: 8, 33, 60, 63, 64, 68, 88 (continued on next page) 19
Other Ancillaries: Warm-Up Transparencies with Daily Homework Quiz: 9, 11, 37, 38, 64, 65, 67, 68, 70, 73, 74, 96, 97 Teaching Mathematics Using Technology: T11-T15, F1-F5 Practice: 16-17, 61-62, 103-104, 109-112, 119-120, 159-160 3. Interpret situations in terms of given graphs or create situations that fit given graphs. PE/TE: 205, 207, 214, 215, 226, 227, 244, 248, 249, 257, 483, 486, 524, 528, 530, 695, 696 Additional TE: 200A, 200B, 200E, 200F, 428A, 428B, 428F, 496A, 496B, 496E, 496F, 688A, 688B, 688E TRP: Chapter Resource Books: Ch 4: 9-21, 23-32, 45-55, 81-96; Ch 8: 86-100; Ch 9: 44-55, 56-70; Ch 12: 9-19 Algebra Tile Investigations: 31-35 Practice Workbook with Examples: 76-78, 79-81, 85-87, 94-96, 97-99, 178-180, 190-192, 193-195, 250-252 Standardized Test Practice Workbook: 26, 27, 29, 32, 33, 64, 68, 69, 88 Warm-Up Transparencies with Daily Homework Quiz: 30-34, 36, 37, 39, 68, 70, 73, 74, 96, 97 Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28, G8-G13, G33-G36, F6-F11, F12-F17, F18-F23, F24-F29 Practice: 49-51, 54, 59-62, 111-112, 119-123, 159-160 4. Represent, display, and interpret data using scatter plots, bar graphs, stem-and-leaf plots, and box-and-whiskers diagrams including representations on graphing calculators and computers. PE/TE: 43, 44, 45, 46, 47, 48-54, 58, 59, 176, 195, 205, 207, 214, 250-251, 254, 256, 257, 259, 262, 263, 267, 303, 321, 645, 777, 778, 779, 783, 787 Additional TE: 1A, 1B, 1F, 200A, 200B, 200E TRP: Chapter Resource Books: Ch 1: 82-93; Ch 4: 9-21 Basic Skills Workbook: 51-56 Practice Workbook with Examples: 19-21, 76-78 Standardized Test Practice Workbook: 7, 26 Warm-Up Transparencies with Daily Homework Quiz: 8, 9, 30, 31 Other Ancillaries: Teaching Mathematics Using Technology: G9, F3, F4, F22 Practice: 14-17, 49-50 20
5. Write a linear equation that fits a data set, check the model for goodness-of-fit, and make predictions using the model. PE/TE: 205, 207, 249, 271, 273, 274, 282, 283, 285, 289, 295, 300, 301, 303, 304, 308, 311, 312, 317 Additional TE: 266A, 266B, 266E, 266F TRP: Chapter Resource Books: Ch 5: 9-19, 20-31, 32-42, 43-54, 55-66, 67-80 Practice Workbook with Examples: 100-102, 103-105, 106-108, 109-111, 112-114, 115-117 Standardized Test Practice Workbook: 34-39 Warm-Up Transparencies with Daily Homework Quiz: 39-44, 46 Other Ancillaries: Teaching Mathematics Using Technology: G9, G13, F3, F4 Practice: 63-74 C. Generalizations, Algebraic Symbols, and Matrices 1. Read, write and represent very large and very small numbers in a variety of forms including exponential. PE/TE: 469-474, 491, 493 Additional TE: 428A, 428B TRP: Chapter Resource Books: Ch 8: 58-71 Practice Workbook with Examples: 172-174 Standardized Test Practice Workbook: 62 Warm-Up Transparencies with Daily Homework Quiz: 66, 67 Other Ancillaries: Teaching Mathematics Using Technology: T18, T19 Practice: 107-108 2. Use unit analysis to check measurement computations. PE/TE: 8, 178, 179, 181 Additional TE: 128A, 128B TRP: Chapter Resource Books: Ch 3: 95-106 Practice Workbook with Examples: 70-72 Standardized Test Practice Workbook: 24 Warm-Up Transparencies with Daily Homework Quiz: 27, 28 Practice: 45-47 21
3. Given situations, determine patterns and represent generalizations algebraically. PE/TE: 22-23, 48, 50, 77, 84-85, 92, 99, 100-106, 119-120, 198-199, 205, 207, 298-303, 384-385, 441-442, 443-448, 449-454, 462-468, 581-587, 609-615, 618-619 Additional TE: 1A, 1B, 1F, 62A, 62B, 62F, 266A, 266B, 266E, 428A, 428B, 428E, 564A, 564B, 564E, 564F TRP: Chapter Resource Books: Ch 1: 94-106; Ch 2: 71-83; Ch 5: 55-66; Ch 8: 9-19, 20-31, 45-57; Ch 10: 34-46, 83-96, 97-107 Algebra Tile Investigations: 1-5 Basic Skills Workbook: 68-71 Practice Workbook with Examples: 22-24, 40-42, 112-114, 160-162, 163-165, 169-171, 211-213, 223-225, 226-228 Standardized Test Practice Workbook: 8, 14, 38, 58, 59, 61, 75, 79, 80 Warm-Up Transparencies with Daily Homework Quiz: 9, 11, 16, 17, 43, 44, 62-66, 81, 82, 85, 86, 88 Other Ancillaries: Teaching Mathematics Using Technology: T20-T23, T28, G6, G7, G18, G24, G31, G41, G45, G46, G52, F5 Practice: 16-17, 28-29, 71-72, 99-102, 105-106, 132-133, 140-143 4. Use symbolic representation, reasoning, and proof to verify statements about numbers. PE/TE: 77, 78, 84-85, 92, 97, 99, 100, 103, 104, 105, 116, 119-120, 441-442, 443, 467, 472, 503 Additional TE: 62A, 62B, 62E, 62F TRP: Chapter Resource Books: Ch 2: 34-46, 47-58, 59-70, 71-83; Ch 8: 9-1 Practice Workbook with Examples: 31-33, 34-36, 37-39, 40-42, 160-162 Standardized Test Practice Workbook: 11-14, 58 Warm-Up Transparencies with Daily Homework Quiz: 13-17, 62, 63 Other Ancillaries: Teaching Mathematics Using Technology: T20-T23, G14- G19, G20-G25, G26-G31, G37-G41, G42-G46, G47-G52 Practice: 22-29, 99-100 22
5. Recognize and justify the relationship between the magnitude of a number and the application of specific operations. PE/TE: 77, 78-83, 84-85, 86-91, 92, 93-98, 99, 100-106, 113-118, 469-474 Additional TE: 62A, 62B, 62E, 62F, 428A, 428B TRP: Chapter Resource Books: Ch 2: 23-33, 34-46, 47-58, 59-70, 95-107; Ch 8: 58-71 Basic Skills Workbook: 13-18, 19-24, 94-97, 98-102, 103-107 Practice Workbook with Examples: 31-33, 34-36, 37-39, 46-48, 172-174 Standardized Test Practice Workbook: 11-13, 16, 62 Warm-Up Transparencies with Daily Homework Quiz: 13-16, 18, 20, 66, 67 Other Ancillaries: Teaching Mathematics Using Technology: T1-T6, T16-T19, G14-G19, G20-G25 Practice: 22-27, 32-33, 107-108 6. Identify and use properties related to operations with matrices (addition, subtraction, and scalar multiplication) to solve applied problems. PE/TE: Prerequisite concepts are taught on pages 42, 45, 198, 228, 385, 757 Additional TE: 1A, 1B, 1F TRP: Chapter Resource Books: Ch 1: 82-93 Practice Workbook with Examples: 19-21 Standardized Test Practice Workbook: 7 Warm-Up Transparencies with Daily Homework Quiz: 8, 9 Other Ancillaries: Teaching Mathematics Using Technology: M1-M5 Practice: 14-15 D. Algebraic Expressions in Problem Solving Situations 1. Find specific function values and evaluate expressions. PE/TE: 4, 6, 10, 11, 12, 13, 14, 15-21, 49, 50, 51, 52, 54, 55, 56, 58, 59, 87, 90, 198-199, 254, 255, 256, 257, 381, 455, 456, 457, 458, 459, 460, 477, 480, 482, 483, 486, 518, 554, 691, 692, 693, 694, 695 Additional TE: 1A, 1B, 1E, 1F, 200A, 200B, 200F, 428A, 428B, 428E, 428F, 496A, 496B, 496E, 496F, 688A, 688B, 688E TRP: Chapter Resource Books: Ch 1: 9-21, 22-32, 33-46, 94-106; Ch 4: 97-107; Ch 8: 32-44, 72-85, 86-100; Ch 9: 44-55; Ch 12: 9-19 Algebra Tile Investigations: 31-35 (continued on next page) 23
Other Ancillaries: Practice Workbook with Examples: 1-3, 4-6, 7-9, 22-24, 97-99, 166-168, 175-177, 178-180, 190-192, 250-252 Standardized Test Practice Workbook: 1-3, 8, 33, 60, 63, 67, 68, 88 Warm-Up Transparencies with Daily Homework Quiz: 2-5, 9, 11, 37, 39, 64, 65, 67-69, 73, 74, 96, 97 Teaching Mathematics Using Technology: T1-T6, T11-T15, T16-T19, F1-F5, F12-F17, F18-F23, F24-F29 Practice: 1-6, 16-17, 61-62, 103-104, 109-112, 119-120, 159-160 2. Simplify polynomial expressions and perform polynomial arithmetic. PE/TE: 567, 568-573, 574, 575-580, 581-587 Additional TE: 564A, 564B, 564E TRP: Chapter Resource Books: Ch 10: 9-20, 21-33, 34-46 Algebra Tile Investigations: 36-41, 42-46 Practice Workbook with Examples: 205-207, 208-210, 211-213 Standardized Test Practice Workbook: 73-75 Warm-Up Transparencies with Daily Homework Quiz: 79-82 Practice: 128-133 3. Transform and solve equations and inequalities, factoring as necessary in problem situations. PE/TE: 36-41, 131, 132-137, 138-143, 144-149, 150, 151-156, 157-162, 163-169, 170, 323-328, 330-335, 336-341, 342-347, 348-353, 354, 355-360, 361-366, 505-510, 526-531, 532, 533-539, 588-594, 670-676, 704-709 Additional TE: 1A, 1B, 128A, 128B, 128E, 128F, 320A, 320B, 320E, 320F, 496A, 496B, 496E, 496F, 564A, 564B, 564E, 564F, 630A, 630B, 688A, 688B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 3: 9-20, 21-31, 32-45, 46-58, 59-69, 70-83; Ch 6: 9-19, 20-31, 32-45, 46-56, 57-67, 68-80; Ch 9: 21-31, 56-70, 71-81; Ch 10: 47-57; Ch 11: 80-91; Ch 12: 31-42 Algebra Tile Investigations: 11-15, 16-20, 21-25 Practice Workbook with Examples: 16-18, 49-51, 52-54, 55-57, 58-60, 61-63, 64-66, 118-120, 121-123, 124-126, 127-129, 130-132, 133-135, 136-138, 184-186, 193-195, 196-198, 214-216, 247-249, 256-258 Standardized Test Practice Workbook: 6, 17-22, 40-46, 66, 69, 70, 76, 87, 90 (continued on next page) 24
Other Ancillaries: Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 20-26, 46-53, 71, 72, 74-76, 82, 83, 94, 96, 98, 99 Teaching Mathematics Using Technology: Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q23, Q25-Q29, S1-S6 Practice: 12-13, 34-42, 75-86, 115-116, 121-123, 134-135, 157-158, 163-164 4. Given a problem situation, determine whether to use a rough estimate, an approximation, or an exact answer. Select a suitable method of computing from techniques such as the use of mental mathematics, paper-and-pencil combinations, calculators and computers. PE/TE: 25, 27, 28, 32, 46, 83, 70, 74, 77, 78-83, 84-85, 86-91, 92, 93-98, 99, 100-106, 113-118, 155, 156, 244, 248, 299, 302, 303, 316, 321, 334, 391, 393, 395, 431, 468, 470-474, 497, 499-504, 530, 532, 544, 774-776 Additional TE: 62A, 62B, 62E, 62F, 266A, 266B, 266E, 428A, 428B, 496A, 496B, 496E TRP: Chapter Resource Books: Ch 2: 34-46, 47-58, 59-70, 71-83, 95-107; Ch 5: 55-66; Ch 8: 58-71; Ch 9: 9-20 Basic Skills Workbook: 13-18, 19-24, 41-44, 77-81, 82-86, 94-97, 98-102, 103-107 Practice Workbook with Examples: 28-30, 31-33, 34-36, 37-39, 40-42, 46-48, 112-114, 181-183 Standardized Test Practice Workbook: 11-14, 16, 38, 62, 65 Warm-Up Transparencies with Daily Homework Quiz: 13-18, 20, 43, 44, 66, 67, 70, 71 Other Ancillaries: Teaching Mathematics Using Technology: T1-T6, T16-T19, G14-G19, G20-G25, G26-G32, G33-G36, G37-G41, G42-G46, G47-G52, Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q24, Q25-Q29, S1- S6, S7-S12, S13-S18, S19-S24, S25-S28, S29-S34, M22-M26, M27-M31 Practice: 22-29, 32-33, 107-108, 113-114 25
5. Use supporting data to explain why a solution is mathematically reasonable. PE/TE: 37, 38, 39, 40, 133, 138, 139, 144, 151, 157, 158, 163, 164, 165, 167, 356, 357, 389, 390, 391, 395, 396, 397, 402, 403, 404, 506, 507, 527, 534, 535, 588, 589, 670, 671, 704, 705 Additional TE: 1A, 1B, 128A, 128B, 128E, 320A, 320B, 320E, 368A, 368B, 368E, 496A, 496B, 496E, 496F, 564A, 564B, 564E, 564F, 688A, 688B TRP: Chapter Resource Books: Ch 1: 71-81; Ch 3: 9-20, 21-31, 32-45, 46-58, 59-69, 70-83; Ch 6: 68-80; Ch 7: 9-20, 21-31, 32-43; Ch 9: 21-31, 56-80, 81-91; Ch 10: 47-57; Ch 11: 80-91; Ch 12: 31-42 Basic Skills Workbook: 94-97, 98-102, 103-107 Practice Workbook with Examples: 16-18, 49-51, 52-54, 55-57, 58-60, 61-63, 64-66, 133-135, 142-144, 145-147, 148-150, 184-186, 193-195, 196-198, 214-216, 247-249, 256-258 Standardized Test Practice Workbook: 6, 17-22, 45, 52-54, 66, 69, 70, 76, 87, 90 Warm-Up Transparencies with Daily Homework Quiz: 7, 8, 20-26, 51, 52, 55-58, 71, 72, 74-76, 82, 83, 94, 96, 90, 91 Other Ancillaries: Teaching Mathematics Using Technology: T1-T6, T16-T19, G14- G19, G20-G25, G26-G32, G33-G36, G37-G41, G42-G46, G47- G52, Q1-Q6, Q7-Q12, Q13-Q18, Q19-Q24, Q25-Q29, S1-S6, S7- S12, S13-S18, S19-S24, S25-S28, S29-S34, M22-M26, M27-M31 Practice: 12-13, 34-42, 83-84, 89-93, 115-116, 121-123, 134-135, 157-158, 163-164 6. Use the commutative, associative, and distributive properties to simplify algebraic expressions. PE/TE: 79, 80, 81, 82, 94, 96, 99, 100-105, 122, 123, 125, 146, 337, 338, 559, 574, 575, 576, 577, 578, 616, 617, 619, 698, 699, 740, 741, 743, 744 Additional TE: 62A, 62B, 62E, 62F, 564A, 564B, 564E, 688A, 688B, 688F TRP: Chapter Resource Books: Ch 2: 34-46, 59-70, 71-83; Ch 10: 21-33 Ch 12: 103-113 Algebra Tile Investigations: 1-5 Practice Workbook with Examples: 31-33, 37-39, 40-42, 208-210, 274-276 Standardized Test Practice Workbook: 11, 13, 14, 74, 96 Warm-Up Transparencies with Daily Homework Quiz: 13-17, 80, 81, 104, 105 Other Ancillaries: Teaching Mathematics Using Technology: T6, T19 Practice: 22-23, 26-29, 130-131, 174-176 26
II. Linear Functions A. Representations 1. Determine whether or not given situations can be represented by linear functions. PE/TE: 236, 237, 238, 240, 257, 271, 273, 274, 282, 283, 285, 289, 290, 295, 300, 301, 302, 303, 308, 311, 312, 317 Additional TE: 200A, 200B, 200F, 266A, 266B, 266E TRP: Chapter Resource Books: Ch 4: 69-80, 97-107; Ch 5: 9-19, 20-31, 32-42, 43-54, 55-66 Practice Workbook with Examples: 91-93, 97-99, 100-102, 103-105, 106-108, 109-111, 112-114 Standardized Test Practice Workbook: 31, 33, 34-38 Warm-Up Transparencies with Daily Homework Quiz: 35-37, 39-44 Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28, G1-G3, G4-G7, G8-G13, F1-F5 Practice: 57-58, 61-72 2. Determine the domain and range values for linear functions based on the constraints of the problem. PE/TE: 49, 50, 51, 52, 54, 211, 212, 214, 257, 296, 300, 302, 303, 312, 316, 317 Additional TE: 1A, 1B, 1F, 266A, 266B, 266E TRP: Chapter Resource Books: Ch 1: 94-106; Ch 5: 55-66 Practice Workbook with Examples: 22-24, 112-114 Standardized Test Practice Workbook: 8, 38 Warm-Up Transparencies with Daily Homework Quiz: 9, 11, 43, 44 Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28, F1-F5 Practice: 16-17, 71-72 27