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South Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2 correlated to the 5/2002 2003 Online

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South Carolina Mathematics Standardsfor Algebra 1

and the course outline for

Mathematics for the Technologies 1 and 2

correlated to the

5/20022003

Online

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 1and Mathematics for the Technologies 1 and 2..........................................................................16

Standards found in the course outlines for Mathematics for the Technologies 1 and 2 aremarked with a .

i

Introduction

to

Online Algebra 1: Concepts and Skills © 2003Grades 9–12

Online Algebra 1: Concepts and Skills presents a broad range of topics with a focus on thedevelopment of algebraic concepts and the acquisition of skills. The text uses multiple represen-tations—algebraic, verbal, and graphic explanations—in every lesson. Online Algebra 1:Concepts and Skills has a clear, consistent, readable lesson format with concise goals, clearexplanations, highlighted vocabulary, visuals and diagrams, summary boxes, and a variety ofmathematical examples. Important concepts are made understandable to all students throughinstructional diagrams, graphics and color-coding, activities, and numerous examples through-out the textbook. The following are some of the key features.

• Concepts and Skills teaches the development of problem solving through examples and avariety of practice exercises.

• Students become more adept at solving problems through the skills review before each chap-ter as well as homework exercises correlated to the examples.

• Study Guides at the beginning of each chapter give a preview of the upcoming topics alongwith 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 prob-

lems; some, for example, list previous pages that have useful information or reference theMcDougal 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 programcomponents is provided on the following page.

ii

Pupil’s EditionTeacher’s Edition

Teacher’s Resource PackageChapter Resource Books 1–12

Tips for New TeachersParent Guide for Student SuccessPrerequisite Skills ReviewStrategies for Reading MathematicsLesson Plans and Lesson Plans for Block

SchedulingWarm-Up Exercises and Daily Homework

QuizActivity Support MastersAlternative Lesson OpenersGraphing Calculator Activities with

KeystrokesPractice (Levels A, B)Reteaching with PracticeQuick Catch-Up for Absent StudentsLearning ActivitiesInterdisciplinary and Real-Life ApplicationsChallenge: Skills and ApplicationsQuizzesChapter Review Games and ActivitiesChapter Tests (Levels A, B)SAT/ACT Chapter TestAlternative Assessment with Rubrics and

Math JournalProject with RubricCumulative ReviewResource Book Answers

Worked-out Solution KeyAlgebra Tile InvestigationsBasic Skills Workbook: Diagnosis and

Remediation, Teacher’s EditionStandardized Test Practice Workbook,

Teacher’s EditionPractice Workbook with Examples, Teacher’s

EditionWarm-up Transparencies with Daily Homework

QuizOnline Lesson Planner Guide

Other AncillariesResources in SpanishKey Skills Review: Preparing for Volume 2Pacing and Lesson Planning Guide for

Volumes 1 & 2Planning and Pacing Guide for Teaching

Algebra 1 over 2 YearsMulti-Language GlossaryStudent Algebra Tile KitOverhead Algebra Tile KitTeaching Mathematics Using TechnologySouth Carolina Block Scheduling Lesson

Plans

Other Transparencies:Starting Points: Alternative Lesson Opener

Transparency PackageExtra Example Transparencies with

Standardized Test PracticeAnswer Transparencies for Checking

Homework

Workbooks:Preparation for Middle School Math,

Grade 8Preparation for Middle School Math,

Grade 8, Teacher’s EditionBasic Skills Workbook: Diagnosis and

RemediationPractice Workbook with ExamplesStandardized Test Practice Workbook

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

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

CD-ROMInternet support

(www.mcdougallittell.com), including anonline lesson planner

Online Algebra 1: Concepts and Skills © 2003Components

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 StandardInstructional programs from pre-kindergarten through grade 12 should enable all students toaccomplish 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)

1

PE = Pupil’s Edition, TE = Teacher’s Edition, TRP = Teacher’s Resource PackageBlackline masters for the Warm-Up Transparencies and Daily Homework Quiz can be found in the Chapter Resource Books.Standards found in the course outlines for Mathematics for the Technologies 1 and 2 are marked with a .

Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51Basic Skills Workbook: 41-44, 62-66, 68-71, 77-81, 82-86Practice 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, 265-267Standardized 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, 93Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 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)

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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: 31-42Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51Basic Skills Workbook: 13-18, 19-24, 41-44, 46-50, 77-81, 82-86, 94-97, 98-102, 103-107Practice 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, 256-258Standardized Test Practice Workbook: 6, 17-20, 22, 40-46, 52-55, 66, 69, 70, 76, 90Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 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, 368BTRP: 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, 47-51Basic Skills Workbook: 13-18, 19-24, 41-44, 46-50, 77-81, 82-86, 94-97, 98-102, 103-107Practice Workbook with Examples: 16-18, 151-153Standardized Test Practice Workbook: 6, 55Warm-Up Transparencies with Daily Homework Quiz: 7, 8,58, 59(continued on next page)

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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-M31Extra Examples Transparencies with Standardized TestPractice: 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, 368BTRP: 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, 47-51Basic Skills Workbook: 13-18, 19-24, 41-44, 46-50, 77-81, 82-86, 94-97, 98-102, 103-107Practice Workbook with Examples: 16-18, 151-153Standardized Test Practice Workbook: 6, 55Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 12-13, 34-39, 42, 75-86, 89-94, 115-116, 121-123, 134-135, 163-164

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

4

Reasoning and Proof StandardInstructional programs from pre-kindergarten through grade 12 should enable all students toaccomplish 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, 688FTRP: 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, 47-51Basic Skills Workbook: 68-71Practice Workbook with Examples: 229-231, 274-276Standardized Test Practice Workbook: 81, 96Warm-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, M44Extra Examples Transparencies with Standardized TestPractice: 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, 688FTRP: Chapter Resource Books: Ch 12: 103-113

Basic Skills Workbook: 68-71Practice Workbook with Examples: 274-276Standardized Test Practice Workbook: 96Warm-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, M44Extra Examples Transparencies with Standardized TestPractice: 22-27, 51, 73-74, 77, 119-120, 167-168, 174-176

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, 688FTRP: 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, 47-51Basic Skills Workbook: 68-71Practice Workbook with Examples: 229-231, 274-276Standardized Test Practice Workbook: 81, 96Warm-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, M44Extra Examples Transparencies with Standardized TestPractice: 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, 688FTRP: 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, 47-51Basic Skills Workbook: 68-71Practice Workbook with Examples: 229-231, 274-276Standardized Test Practice Workbook: 81, 96Warm-Up Transparencies with Daily Homework Quiz: 88, 89,104, 105(continued on next page)

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, M44Extra Examples Transparencies with Standardized TestPractice: 144-145, 174-176

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

7

Communication StandardInstructional programs from pre-kindergarten through grade 12 should enable all students toaccomplish 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, 1BTRP: Chapter Resource Books: Ch 1: 59-70, 71-81

Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48Basic Skills Workbook: 62-66Practice Workbook with Examples: 13-15, 16-18Standardized Test Practice Workbook: 5, 6Warm-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, M44Extra Examples Transparencies with Standardized TestPractice: 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, 1BTRP: Chapter Resource Books: Ch 1: 59-70, 71-81

Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48Basic Skills Workbook: 62-66Practice Workbook with Examples: 13-15, 16-18Standardized Test Practice Workbook: 5, 6Warm-Up Transparencies with Daily Homework Quiz: 6-8(continued on next page)

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, M44Extra Examples Transparencies with Standardized TestPractice: 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, 1BTRP: Chapter Resource Books: Ch 1: 71-81

Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48Basic Skills Workbook: 62-66, 68-71Practice Workbook with Examples: 16-18Standardized Test Practice Workbook: 6Warm-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, M44Extra Examples Transparencies with Standardized TestPractice: 12-13

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, 1BTRP: Chapter Resource Books: Ch 1: 59-70, 71-81

Algebra Tile Investigations: 2, 7, 12, 17, 22, 27, 32, 38, 43, 48Basic Skills Workbook: 62-66Practice Workbook with Examples: 13-15, 16-18Standardized Test Practice Workbook: 5, 6Warm-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, M44Extra Examples Transparencies with Standardized TestPractice: 9-13

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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Connections StandardInstructional programs from pre-kindergarten through grade 12 should enable all students toaccomplish 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: 66-80Algebra Tile Investigations: 1-5, 26-30, 36-41, 42-46, 47-51Basic Skills Workbook: 35-40, 46-50, 57-61, 68-71, 77-81, 82-86Practice 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, 265-267Standardized Test Practice Workbook: 5, 6, 27-29, 32, 33, 38,47, 52, 55, 60, 68, 72, 93Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 9-13, 51-54, 59-62, 71-72, 87-90, 94, 103-104, 119-120, 126-127, 169-170

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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• understand how mathematical ideas interconnect and build on one another to producea 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: 66-80Algebra Tile Investigations: 1-5, 26-30, 36-41, 42-46, 47-51Basic Skills Workbook: 35-40, 46-50, 57-61, 68-71, 77-81, 82-86Practice 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, 265-267Standardized Test Practice Workbook: 5, 6, 27-29, 32, 33, 38,47, 52, 55, 60, 68, 72, 93Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 9-13, 51-54, 59-62, 71-72, 87-90, 94, 103-104, 119-120, 126-127, 169-170

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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• 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, 368BTRP: Chapter Resource Books: Ch 1: 71-81; Ch 3: 84-94;

Ch 7: 44-55Basic Skills Workbook: 51-56, 57-61, 62-66Practice Workbook with Examples: 16-18, 67-69, 151-153Standardized Test Practice Workbook: 6, 23, 55Warm-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-G52Extra Examples Transparencies with Standardized TestPractice: 12-13, 43-44, 94

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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Representation StandardInstructional programs from pre-kindergarten through grade 12 should enable all students toaccomplish the following:

• create and use representations to organize, record, and communicate mathematicalideas

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, 428FTRP: 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, 47-51Basic Skills Workbook: 51-56, 57-61, 62-66Practice Workbook with Examples: 16-18, 112-114, 166-168,175-177, 178-180Standardized Test Practice Workbook: 6, 38, 60, 63, 64Warm-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-M44Extra Examples Transparencies with Standardized TestPractice: 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, 496BTRP: 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, 47-51Basic Skills Workbook: 35-40(continued on next page)

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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Practice Workbook with Examples: 16-18, 112-114, 142-144,151-153, 193-195Standardized Test Practice Workbook: 6, 38, 52, 55, 69Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 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: 20-33Algebra Tile Investigations: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-41, 42-46, 47-51Basic Skills Workbook: 35-40, 51-56, 57-61, 62-66Practice 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, 232-234Standardized Test Practice Workbook: 6, 23, 27-29, 32, 38, 47,52, 55, 60, 63, 64, 68, 72, 82Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 12-13, 43-44, 51-53, 59-60, 71-72, 87-90, 94, 103-104,109-112, 119-120, 126-127, 146-148

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

15

Curriculum Standards

I. Understanding Functions

A. Relationships

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: 9-19Algebra Tile Investigations: 31-35Basic Skills Workbook: 68-71Practice Workbook with Examples: 22-24, 97-99, 112-114,166-168, 175-177, 178-180, 190-192, 250-252Standardized Test Practice Workbook: 8, 33, 38, 60, 63, 64, 68, 88Warm-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-F5Extra Examples Transparencies with Standardized TestPractice: 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) relation-ships 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, 86-100Algebra Tile Investigations: 31-35Basic Skills Workbook: 68-71Practice Workbook with Examples: 22-24, 97-99, 100-102,112-114, 175-177, 178-180(continued on next page)

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

PE = Pupil’s Edition, TE = Teacher’s Edition, TRP = Teacher’s Resource PackageBlackline masters for the Warm-Up Transparencies and Daily Homework Quiz can be found in the Chapter Resource Books.Standards found in the course outlines for Mathematics for the Technologies 1 and 2 are marked with a .

Standardized Test Practice Workbook: 8, 33, 34, 37, 63, 64Warm-Up Transparencies with Daily Homework Quiz: 9, 11,37, 38-40, 43, 44, 67, 68, 70

Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28,F1-F5, F6-F11, F12-F17, F18-F23, F24-F29Extra Examples Transparencies with Standardized TestPractice: 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: 9-19Algebra Tile Investigations: 31-35Practice Workbook with Examples: 22-24, 97-99, 166-168,175-177, 178-180, 190-192, 250-252Standardized Test Practice Workbook: 8, 33, 60, 63, 64, 68, 88Warm-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-F40Extra Examples Transparencies with Standardized TestPractice: 16-17, 61-62, 103-104, 109-112, 119-120, 159-160

4. Represent relationships among quantities using concrete models, tables, graphs, dia-grams, verbal descriptions, equations, and inequalities including representationsinvolving 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)

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, 66-80Algebra Tile Investigations: 31-35Basic Skills Workbook: 68-71Practice 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, 265-267Standardized Test Practice Workbook: 6, 8, 14, 23, 27, 29,31-33, 36, 38, 47, 52, 55, 57, 60, 63, 64, 68, 72, 82, 88, 93Warm-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-F40Extra Examples Transparencies with Standardized TestPractice: 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, 193Additional TE: 128A, 128B, 128E, 128FTRP: Chapter Resource Books: Ch 3: 84-94, 95-106

Practice Workbook with Examples: 67-69, 70-72Standardized Test Practice Workbook: 23, 24Warm-Up Transparencies with Daily Homework Quiz: 26-28

Other Ancillaries: Teaching Mathematics Using Technology: T19Extra Examples Transparencies with Standardized TestPractice: 43-47

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

6. Interpret and make inferences from explicit and recurrence functional relationships.

PE/TE: 22-23, 48-54, 58, 119, 120, 195Additional TE: 1A, 1B, 1FTRP: Chapter Resource Books: Ch 1: 94-106

Basic Skills Workbook: 68-71Practice Workbook with Examples: 22-24Standardized Test Practice Workbook: 8Warm-Up Transparencies with Daily Homework Quiz: 9, 11

Other Ancillaries: Teaching Mathematics Using Technology: G6, G7, G17, G23,G44, F36-F40Extra Examples Transparencies with Standardized TestPractice: 16-17

B. Linear and Quadratic Functions and Data Representations

1. Identify and sketch the general forms of linear (y = x) and quadratic (y = x2) parentfunctions.

PE/TE: 242, 243-249, 518-519, 520Additional TE: 200A, 200B, 200F, 496A, 496B, 496E, 496FTRP: Chapter Resource Books: Ch 4: 81-96; Ch 9: 44-55

Algebra Tile Investigations: 31-35Practice Workbook with Examples: 94-96, 190-192Standardized Test Practice Workbook: 32, 68Warm-Up Transparencies with Daily Homework Quiz: 36,37, 73, 74

Other Ancillaries: Teaching Mathematics Using Technology: T24-T28, F1-F5,F12-F17Extra Examples Transparencies with Standardized TestPractice: 59-60, 119-120

2. For a variety of situations, identify and determine reasonable domain and range valuesfor 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: 9-19Algebra Tile Investigations: 31-35Practice Workbook with Examples: 22-24, 97-99, 166-168,175-177, 178-180, 190-192, 250-252Standardized Test Practice Workbook: 8, 33, 60, 63, 64, 68, 88(continued on next page)

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

Warm-Up Transparencies with Daily Homework Quiz: 9, 11,37, 38, 64, 65, 67, 68, 70, 73, 74, 96, 97

Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, F1-F5Extra Examples Transparencies with Standardized TestPractice: 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: 9-19Algebra Tile Investigations: 31-35Practice Workbook with Examples: 76-78, 79-81, 85-87, 94-96, 97-99, 178-180, 190-192, 193-195, 250-252Standardized Test Practice Workbook: 26, 27, 29, 32, 33, 64,68, 69, 88Warm-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-F29Extra Examples Transparencies with Standardized TestPractice: 49-51, 54, 59-62, 111-112, 119-123, 159-160

4. Represent, display, and interpret data using scatter plots, bar graphs, stem-and-leafplots, and box-and-whiskers diagrams including representations on graphing calcula-tors 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, 200ETRP: Chapter Resource Books: Ch 1: 82-93; Ch 4: 9-21

Basic Skills Workbook: 51-56Practice Workbook with Examples: 19-21, 76-78Standardized Test Practice Workbook: 7, 26Warm-Up Transparencies with Daily Homework Quiz: 8, 9,30, 31

Other Ancillaries: Teaching Mathematics Using Technology: G9, F3, F4, F22Extra Examples Transparencies with Standardized TestPractice: 14-17, 49-50

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

5. Write a linear equation that fits a data set, check the model for “goodness-of-fit”, andmake 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, 266FTRP: 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, 115-117Standardized Test Practice Workbook: 34-39Warm-Up Transparencies with Daily Homework Quiz: 39-44, 46

Other Ancillaries: Teaching Mathematics Using Technology: G9, G13, F3, F4Extra Examples Transparencies with Standardized TestPractice: 63-74

C. Generalizations, Algebraic Symbols, and Matrices

1. Read, write and represent very large and very small numbers in a variety of formsincluding exponential.

PE/TE: 469-474, 491, 493Additional TE: 428A, 428BTRP: Chapter Resource Books: Ch 8: 58-71

Practice Workbook with Examples: 172-174Standardized Test Practice Workbook: 62Warm-Up Transparencies with Daily Homework Quiz: 66,67

Other Ancillaries: Teaching Mathematics Using Technology: T18, T19Extra Examples Transparencies with Standardized TestPractice: 107-108

2. Use unit analysis to check measurement computations.

PE/TE: 8, 178, 179, 181Additional TE: 128A, 128BTRP: Chapter Resource Books: Ch 3: 95-106

Practice Workbook with Examples: 70-72Standardized Test Practice Workbook: 24Warm-Up Transparencies with Daily Homework Quiz: 27,28Extra Examples Transparencies with Standardized TestPractice: 45-47

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, 83-96,97-107Algebra Tile Investigations: 1-5Basic Skills Workbook: 68-71Practice Workbook with Examples: 22-24, 40-42, 112-114,160-162, 163-165, 169-171, 211-213, 223-225, 226-228Standardized Test Practice Workbook: 8, 14, 38, 58, 59, 61,75, 79, 80Warm-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, F5Extra Examples Transparencies with Standardized TestPractice: 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, 62FTRP: 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, 160-162Standardized Test Practice Workbook: 11-14, 58Warm-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-G52Extra Examples Transparencies with Standardized TestPractice: 22-29, 99-100

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

5. Recognize and justify the relationship between the magnitude of a number and theapplication of specific operations.

PE/TE: 77, 78-83, 84-85, 86-91, 92, 93-98, 99, 100-106, 113-118, 469-474Additional TE: 62A, 62B, 62E, 62F, 428A, 428BTRP: Chapter Resource Books: Ch 2: 23-33, 34-46, 47-58, 59-70,

95-107; Ch 8: 58-71Basic Skills Workbook: 13-18, 19-24, 94-97, 98-102, 103-107Practice Workbook with Examples: 31-33, 34-36, 37-39, 46-48, 172-174Standardized Test Practice Workbook: 11-13, 16, 62Warm-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-G25Extra Examples Transparencies with Standardized TestPractice: 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, 757Additional TE: 1A, 1B, 1FTRP: Chapter Resource Books: Ch 1: 82-93

Practice Workbook with Examples: 19-21Standardized Test Practice Workbook: 7Warm-Up Transparencies with Daily Homework Quiz: 8, 9

Other Ancillaries: Teaching Mathematics Using Technology: M1-M5Extra Examples Transparencies with Standardized TestPractice: 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: 9-19Algebra Tile Investigations: 31-35(continued on next page)

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

Practice Workbook with Examples: 1-3, 4-6, 7-9, 22-24, 97-99, 166-168, 175-177, 178-180, 190-192, 250-252Standardized Test Practice Workbook: 1-3, 8, 33, 60, 63, 67,68, 88Warm-Up Transparencies with Daily Homework Quiz: 2-5,9, 11, 37, 39, 64, 65, 67-69, 73, 74, 96, 97

Other Ancillaries: Teaching Mathematics Using Technology: T1-T6, T11-T15,T16-T19, F1-F5, F12-F17, F18-F23, F24-F29Extra Examples Transparencies with Standardized TestPractice: 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, 581-587Additional TE: 564A, 564B, 564ETRP: Chapter Resource Books: Ch 10: 9-20, 21-33, 34-46

Algebra Tile Investigations: 36-41, 42-46Practice Workbook with Examples: 205-207, 208-210, 211-213Standardized Test Practice Workbook: 73-75Warm-Up Transparencies with Daily Homework Quiz: 79-82Extra Examples Transparencies with Standardized TestPractice: 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: 31-42Algebra Tile Investigations: 11-15, 16-20, 21-25Practice 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, 256-258Standardized Test Practice Workbook: 6, 17-22, 40-46, 66,69, 70, 76, 87, 90(continued on next page)

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

Warm-Up Transparencies with Daily Homework Quiz: 7, 8,20-26, 46-53, 71, 72, 74-76, 82, 83, 94, 96, 98, 99

Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6, Q7-Q12,Q13-Q18, Q19-Q23, Q25-Q29, S1-S6Extra Examples Transparencies with Standardized TestPractice: 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 approxima-tion, or an exact answer. Select a suitable method of computing from techniques suchas the use of mental mathematics, paper-and-pencil combinations, calculators andcomputers.

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: 9-20Basic Skills Workbook: 13-18, 19-24, 41-44, 77-81, 82-86, 94-97, 98-102, 103-107Practice Workbook with Examples: 28-30, 31-33, 34-36, 37-39, 40-42, 46-48, 112-114, 181-183Standardized Test Practice Workbook: 11-14, 16, 38, 62, 65Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 22-29, 32-33, 107-108, 113-114

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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: 31-42Basic Skills Workbook: 94-97, 98-102, 103-107Practice 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, 256-258Standardized Test Practice Workbook: 6, 17-22, 45, 52-54,66, 69, 70, 76, 87, 90Warm-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-M31Extra Examples Transparencies with Standardized TestPractice: 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 algebraicexpressions.

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, 688FTRP: Chapter Resource Books: Ch 2: 34-46, 59-70, 71-83;

Ch 10: 21-33 Ch 12: 103-113Algebra Tile Investigations: 1-5Practice Workbook with Examples: 31-33, 37-39, 40-42, 208-210, 274-276Standardized Test Practice Workbook: 11, 13, 14, 74, 96Warm-Up Transparencies with Daily Homework Quiz: 13-17, 80, 81, 104, 105

Other Ancillaries: Teaching Mathematics Using Technology: T6, T19Extra Examples Transparencies with Standardized TestPractice: 22-23, 26-29, 130-131, 174-176

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

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, 266ETRP: 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, 112-114Standardized Test Practice Workbook: 31, 33, 34-38Warm-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-F5Extra Examples Transparencies with Standardized TestPractice: 57-58, 61-72

2. Determine the domain and range values for linear functions based on the constraintsof 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, 266ETRP: Chapter Resource Books: Ch 1: 94-106; Ch 5: 55-66

Practice Workbook with Examples: 22-24, 112-114Standardized Test Practice Workbook: 8, 38Warm-Up Transparencies with Daily Homework Quiz: 9, 11,43, 44

Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28,F1-F5Extra Examples Transparencies with Standardized TestPractice: 16-17, 71-72

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

3. Translate among and use algebraic, tabular, graphical, or verbal descriptions of linearfunctions using computer algebra systems, spreadsheets and graphing calculators.

PE/TE: 170, 250-251, 254, 256, 395Additional TE: 200A, 200B, 200FTRP: Chapter Resource Books: Ch 4: 97-107

Practice Workbook with Examples: 97-99Standardized Test Practice Workbook: 33Warm-Up Transparencies with Daily Homework Quiz: 37, 39

Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28,G1-G3, G4-G7, G8-G13, F1-F5Extra Examples Transparencies with Standardized TestPractice: 61-62

B. Interpretations

1. Develop the concept of slope as rate of change and determine slope from graphs,tables, and algebraic representations.

PE/TE: 228, 229-235, 242, 243-249, 269-275, 276-277, 278-284Additional TE: 200A, 200B, 200F, 266A, 266B, 266ETRP: Chapter Resource Books: Ch 4: 56-68, 81-96; Ch 5: 9-19, 20-31

Practice Workbook with Examples: 88-90, 94-96, 100-102,103-105Standardized Test Practice Workbook: 30, 32, 34, 35Warm-Up Transparencies with Daily Homework Quiz: 34-37, 39-41

Other Ancillaries: Teaching Mathematics Using Technology: G1-G3, G8-G13Extra Examples Transparencies with Standardized TestPractice: 55-56, 59-60, 63-66

2. Interpret the meaning of slope and intercepts in situations using data, symbolic repre-sentations, or graphs.

PE/TE: 228, 229-235, 242, 243-249, 269-275Additional TE: 200A, 200B, 200F, 266A, 266B, 266ETRP: Chapter Resource Books: Ch 4: 56-68, 81-96; Ch 5: 9-19

Practice Workbook with Examples: 88-90, 94-96, 100-102Standardized Test Practice Workbook: 30, 32, 34Warm-Up Transparencies with Daily Homework Quiz: 34-37, 39, 40

Other Ancillaries: Teaching Mathematics Using Technology: G1-G3, G8-G13Extra Examples Transparencies with Standardized TestPractice: 55-56, 59-60, 63-64

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

3. With and without using a graphing calculator, investigate, describe, and predict theeffects of changes in m and b on the graph of y = mx + b.

PE/TE: 242, 243-249Additional TE: 200A, 200B, 200FTRP: Chapter Resource Books: Ch 4: 81-96

Practice Workbook with Examples: 94-96Standardized Test Practice Workbook: 32Warm-Up Transparencies with Daily Homework Quiz: 36,37

Other Ancillaries: Teaching Mathematics Using Technology: G8-G13Extra Examples Transparencies with Standardized TestPractice: 59-60

4. Graph and write equations of lines given characteristics such as two points, a pointand a slope, or a slope and y-intercept.

PE/TE: 269-275, 276-277, 278-284, 285-290Additional TE: 266A, 266B, 266ETRP: Chapter Resource Books: Ch 5: 9-19, 20-31, 32-42

Practice Workbook with Examples: 100-102, 103-105, 106-108Standardized Test Practice Workbook: 34-36Warm-Up Transparencies with Daily Homework Quiz: 39-42

Other Ancillaries: Teaching Mathematics Using Technology: G8-G13Extra Examples Transparencies with Standardized TestPractice: 63-68

5. Determine the intercepts of linear functions from graphs, tables, and algebraic repre-sentations.

PE/TE: 222-228, 242, 243-249, 269-275Additional TE: 200A, 200B, 200E, 200F, 266A, 266B, 266ETRP: Chapter Resource Books: Ch 4: 45-55, 81-96; Ch 5: 9-19

Practice Workbook with Examples: 85-87, 94-96, 100-102Standardized Test Practice Workbook: 29, 32, 34Warm-Up Transparencies with Daily Homework Quiz: 33,34, 36, 37, 39, 40

Other Ancillaries: Teaching Mathematics Using Technology: G1-G3, G8-G13Extra Examples Transparencies with Standardized TestPractice: 54, 59-60, 63-64

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

6. With and without using a graphing calculator, interpret and predict the effects ofchanging slope and y-intercept in applied situations.

PE/TE: 228, 235, 242Additional TE: 200A, 200B, 200FTRP: Chapter Resource Books: Ch 4: 56-68

Practice Workbook with Examples: 88-90Standardized Test Practice Workbook: 30Warm-Up Transparencies with Daily Homework Quiz: 34,35

Other Ancillaries: Teaching Mathematics Using Technology: G8-G13Extra Examples Transparencies with Standardized TestPractice: 55-56

7. Relate direct variation to linear functions and solve problems involving proportionalchange.

PE/TE: 236-241, 261, 263, 639, 640, 642, 643, 644, 681, 682, 685Additional TE: 200A, 200B, 630A, 630BTRP: Chapter Resource Books: Ch 4: 69-80; Ch 11: 20-33

Practice Workbook with Examples: 91-93, 232-234Standardized Test Practice Workbook: 31, 82Warm-Up Transparencies with Daily Homework Quiz: 35,36, 89, 90

Other Ancillaries: Teaching Mathematics Using Technology: G1-G3, G4-G7,G8-G13Extra Examples Transparencies with Standardized TestPractice: 57-58, 146-148

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

C. Equations and Inequalities

1. Analyze situations involving linear functions and formulate linear equations orinequalities to solve problems.

PE/TE: 214, 226, 237, 238, 240, 257, 271, 273, 274, 275, 282, 283, 285,289, 298-304, 316, 317, 325, 327, 334, 338, 340, 343, 346, 347,352, 379

Additional TE: 200A, 200B, 200E, 200F, 266A, 266B, 266E, 320A, 320B, 320ETRP: Chapter Resource Books: Ch 4: 22-32, 45-55, 69-80, 97-107;

Ch 5: 9-19, 20-31, 32-42, 55-66; Ch 6: 9-19, 20-31, 32-45, 46-56Algebra Tile Investigations: 11-15, 16-20, 21-25Practice Workbook with Examples: 79-81, 85-87, 91-93, 97-99Standardized Test Practice Workbook: 27, 29, 31, 33, 34-36,38, 40-43Warm-Up Transparencies with Daily Homework Quiz: 31-37, 39-44, 46-50

Other Ancillaries: Teaching Mathematics Using Technology: G1-G3, G4-G7,G8-G13, F1-F5Extra Examples Transparencies with Standardized TestPractice: 51, 54, 57-58, 63-68, 71-72, 75-80

2. Investigate methods for solving linear equations and inequalities using concrete mod-els, graphs, and the properties of equality, select a method, and solve the equationsand inequalities.

PE/TE: 131, 132-137, 138-143, 144-149, 150, 151-156, 157-162, 163-169, 170, 300, 301, 302, 303, 323-328, 329, 330-335, 336-341,342-347, 348-353

Additional TE: 128A, 128B, 128E, 266A, 266B, 266E, 320A, 320B, 320ETRP: Chapter Resource Books: Ch 3: 9-20, 21-31, 32-45, 46-58,

59-69, 70-83; Ch 5: 55-66; Ch 6: 9-19, 20-31, 32-45, 46-56,57-67Algebra Tile Investigations: 11-15, 16-20, 21-25Practice Workbook with Examples: 100-102, 103-105, 106-108, 112-114, 118-120, 121-123, 124-126, 127-129Standardized Test Practice Workbook: 17-22, 38, 40-44Warm-Up Transparencies with Daily Homework Quiz: 20-26, 43, 44, 46-51, 61-68, 71-72, 75-80

Other Ancillaries: Teaching Mathematics Using Technology: S1-S6Extra Examples Transparencies with Standardized TestPractice: 34-42, 71-72, 75-82

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

3. Use the commutative, associative, distributive, equality, and identity properties to jus-tify the steps in solving equations and inequalities.

PE/TE: 131, 134, 138, 139, 140, 141, 145, 146, 151, 152, 153, 157, 158,159, 163, 165, 167, 189, 190, 191, 324, 325, 330, 331, 332, 336,337, 338, 343, 344, 349, 350, 375, 376, 377

Additional TE: 128A, 128B, 128E, 320A, 320B, 320ETRP: Chapter Resource Books: 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 Algebra Tile Investigations: 1-5Practice Workbook with Examples: 49-51, 52-54, 55-57, 58-60, 61-63, 64-66, 112-114, 118-120, 121-123, 124-126, 127-129, 130-132Standardized Test Practice Workbook: 17-22, 40-44Warm-Up Transparencies with Daily Homework Quiz: 20-26, 46-51

Other Ancillaries: Teaching Mathematics Using Technology: T6, T19Extra Examples Transparencies with Standardized TestPractice: 34-42, 75-82

4. Using concrete models for given contexts, interpret and determine the reasonablenessof solutions to linear equations and inequalities.

PE/TE: 131, 150, 205, 207, 214, 215, 249, 257, 259, 354Additional TE: 128A, 128B, 128E, 320A, 320B, 320ETRP: Chapter Resource Books: Ch 3: 9-20, 46-58; Ch 6: 68-80

Algebra Tile Investigations: 11-15, 16-20, 21-25Practice Workbook with Examples: 49-51, 58-60, 133-135Standardized Test Practice Workbook: 17, 20, 45Warm-Up Transparencies with Daily Homework Quiz: 20,21, 23, 24, 51, 52

Other Ancillaries: Teaching Mathematics Using Technology: S1-S6Extra Examples Transparencies with Standardized TestPractice: 51

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

D. Systems of Linear Equations

1. Analyze situations and formulate systems of linear equations to solve problems.

PE/TE: 391, 393, 398, 400, 406, 409-414, 421, 430, 433, 435Additional TE: 368A, 368B, 368E, 368FTRP: Chapter Resource Books: Ch 7: 9-20, 21-31, 32-43, 44-55,

56-67Practice Workbook with Examples: 142-144, 145-147, 148-150, 151-153, 154-156Standardized Test Practice Workbook: 52-56Warm-Up Transparencies with Daily Homework Quiz: 55-60

Other Ancillaries: Teaching Mathematics Using Technology: S1-S6, S7-S12,S13-S18, S19-S24, S25-S28, S29-S34Extra Examples Transparencies with Standardized TestPractice: 89-96

2. Solve systems of linear equations using concrete models, graphs, tables, and algebraicmethods including computer algebra systems, spreadsheets and graphing calculators.

PE/TE: 389-394, 395, 396-401, 402-408, 409-414, 415-416, 417-422Additional TE: 368A, 368B, 368E, 368FTRP: Chapter Resource Books: Ch 7: 9-20, 21-31, 32-43, 44-55,

56-67 Practice Workbook with Examples: 142-144, 145-147, 148-150, 151-153, 154-156Standardized Test Practice Workbook: 52-56Warm-Up Transparencies with Daily Homework Quiz: 55-60

Other Ancillaries: Teaching Mathematics Using Technology: S1-S6, S7-S12,S13-S18, S19-S24, S25-S28, S29-S34Extra Examples Transparencies with Standardized TestPractice: 89-96

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

3. For given contexts, interpret and determine the reasonableness of solutions to systemsof linear equations.

PE/TE: 389, 390, 391, 392, 394, 395, 396, 397, 399, 402, 403, 404, 405,406, 408, 431, 432, 435

Additional TE: 368A, 368B, 368ETRP: Chapter Resource Books: Ch 7: 9-20, 21-31, 32-43

Practice Workbook with Examples: 142-144, 145-147, 148-150Standardized Test Practice Workbook: 52-54Warm-Up Transparencies with Daily Homework Quiz: 55-58

Other Ancillaries: Teaching Mathematics Using Technology: S1-S6, S7-S12,S13-S18, S19-S24, S25-S28, S29-S34Extra Examples Transparencies with Standardized TestPractice: 89-93

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

III. Quadratic and Other Functions

A. Quadratic Functions

1. Determine the domain and range values for quadratic functions given the constraintsof the problem.

PE/TE: 507, 508, 509, 524, 525, 530, 535, 537, 538Additional TE: 496A, 496B, 496E, 496FTRP: Chapter Resource Books: Ch 9: 21-31, 44-55, 71-81

Algebra Tile Investigations: 31-35Practice Workbook with Examples: 184-186, 190-192, 196-198Standardized Test Practice Workbook: 66, 68, 70Warm-Up Transparencies with Daily Homework Quiz: 71-76

Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28,Q1-Q6Extra Examples Transparencies with Standardized TestPractice: 115-116, 119-120, 123

2. With and without using a graphing calculator, investigate, describe, and predict theeffects of changes in the coefficient a on the graph of y = ax2.

PE/TE: 518-519, 523, 524Additional TE: 496A, 496B, 496ETRP: Chapter Resource Books: Ch 9: 44-55

Practice Workbook with Examples: 190-192Standardized Test Practice Workbook: 68Warm-Up Transparencies with Daily Homework Quiz: 73, 74

Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6Extra Examples Transparencies with Standardized TestPractice: 119-120

3. With and without using a graphing calculator, investigate, describe, and predict theeffects of changes in the constant c on the graph of y = x2 + c.

PE/TE: 521, 523, 542Additional TE: 496A, 496B, 496E, 496FTRP: Chapter Resource Books: Ch 9: 44-55, 83-93

Practice Workbook with Examples: 190-192, 199-201Standardized Test Practice Workbook: 68, 71Warm-Up Transparencies with Daily Homework Quiz: 73,74, 76, 77

Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6Extra Examples Transparencies with Standardized TestPractice: 119-120, 124-125

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

4. For problem situations, analyze graphs of quadratic functions and draw conclusions.

PE/TE: 524, 525, 526-530, 532, 544, 555, 557Additional TE: 496A, 496B, 496E, 496FTRP: Chapter Resource Books: Ch 9: 44-55, 56-70

Practice Workbook with Examples: 190-192, 193-195Standardized Test Practice Workbook: 68, 69Warm-Up Transparencies with Daily Homework Quiz: 73-75

Other Ancillaries: Teaching Mathematics Using Technology: T11-T15, T24-T28,Q1-Q6Extra Examples Transparencies with Standardized TestPractice: 119-122

5. Solve quadratic equations using concrete models, tables, graphs, and algebraic meth-ods that include factoring and using the quadratic formula, as well as computer alge-bra systems, spreadsheets and graphing calculators.

PE/TE: 505-510, 526-531, 532, 533-539, 553, 555, 557Additional TE: 496A, 496B, 496E, 496FTRP: Chapter Resource Books: Ch 9: 21-31, 56-70, 71-81

Algebra Tile Investigations: 31-35Practice Workbook with Examples: 184-186, 193-195, 196-198Standardized Test Practice Workbook: 66, 69, 70Warm-Up Transparencies with Daily Homework Quiz: 71,72, 74-76

Other Ancillaries: Teaching Mathematics Using Technology: Q1-Q6, Q7-Q12,Q13-Q18, Q12-Q24, Q25-Q29, Q30-Q34Extra Examples Transparencies with Standardized TestPractice: 115-116, 121-123

6. Relate the solutions of quadratic equations to the roots of their functions.

PE/TE: 505-510, 553, 557Additional TE: 496A, 496B, 496ETRP: Chapter Resource Books: Ch 9: 21-31

Practice Workbook with Examples: 184-186Standardized Test Practice Workbook: 66Warm-Up Transparencies with Daily Homework Quiz: 71,72

Other Ancillaries: Teaching Mathematics Using Technology: R1-R5, Q19-Q24Extra Examples Transparencies with Standardized TestPractice: 115-116

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Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2

B. Other Functions

1. Use patterns to generate the laws of exponents and apply them in problem-solving sit-uations.

PE/TE: 441-442, 443-448, 493Additional TE: 428A, 428B, 428ETRP: Chapter Resource Books: Ch 8: 9-19

Practice Workbook with Examples: 160-162Standardized Test Practice Workbook: 58Warm-Up Transparencies with Daily Homework Quiz: 62, 63

Other Ancillaries: Teaching Mathematics Using Technology: T6, T18Extra Examples Transparencies with Standardized TestPractice: 99-100

2. Analyze data and represent situations involving inverse variation using concrete mod-els, tables, graphs or algebraic methods as well as computer algebra systems, spread-sheets and graphing calculators.

PE/TE: 639-644, 645, 681, 682, 685, 678-680Additional TE: 630A, 630B, 630ETRP: Chapter Resource Books: Ch 11: 34-45

Practice Workbook with Examples: 235-237Standardized Test Practice Workbook: 83Warm-Up Transparencies with Daily Homework Quiz: 90, 91

Other Ancillaries: Teaching Mathematics Using Technology: T11Extra Examples Transparencies with Standardized TestPractice: 149-150

3. Analyze data and represent situations involving exponential growth and decay usingconcrete models, tables, graphs, or algebraic methods as well as computer algebrasystems, spreadsheets and graphing calculators.

PE/TE: 476-481, 482-488, 492, 493Additional TE: 428A, 428B, 428E, 428FTRP: Chapter Resource Books: Ch 8: 72-85, 86-100

Practice Workbook with Examples: 175-177, 178-180Standardized Test Practice Workbook: 63, 64Warm-Up Transparencies with Daily Homework Quiz: 67,68, 70

Other Ancillaries: Teaching Mathematics Using Technology: G14-G19, G26-G32, G33-G36, G37-G41Extra Examples Transparencies with Standardized TestPractice: 109-112

37

Online Algebra 1: Concepts and Skills © 2003 correlated to theSouth Carolina Mathematics Standards for Algebra 1 and the course outline for Mathematics for the Technologies 1 and 2