indiana academic standards for algebra 1 - mcdougal littell
TRANSCRIPT
IndianaAcademic Standards for
Algebra 1
correlated to the
6/20032004
CC2
Introduction
to
Algebra 1: Concepts and Skills © 2004
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 multiplerepresentations—algebraic, verbal, and graphic explanations—in every lesson. 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 avariety of mathematical examples. Important concepts are made understandable to allstudents through instructional diagrams, graphics and color coding, activities, andnumerous examples throughout the textbook. The following are some of the key features.
• Concepts and Skills teaches the development of problem solving through examplesand a variety of practice exercises.
• Students become more adept at solving problems through the skills review before eachchapter as well as homework exercises correlated to the examples.
• There are ample, well-balanced practice sets with exercises keyed to examples in thelesson.
• Student Help notes throughout the book assist students in locating help with particularproblems; some, for example, list previous pages that have useful information orreference the McDougal Littell Web site.
• Study Guides at the beginning of each chapter give a preview of the upcoming topicsalong with a quick skills review. The Guides also include a study strategy for thechapter.
• Standardized test preparation is found in every lesson as well as at the end of everychapter.
• Mixed Reviews in every lesson help students to maintain skills.• 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 allprogram components is provided on the following page.
Algebra 1: Concepts and Skills © 2004Components
Pupil’s EditionTeacher’s Edition
Teacher’s Resource PackageChapter Resource Books 1–12Worked-out Solution KeyAlgebra Tile InvestigationsBasic Skills Workbook: Diagnosis and Remediation,
Teacher’s EditionPractice Workbook with Examples, Teacher’s
EditionStandardized Test Practice Workbook, Teacher’s
EditionWarm-up Transparencies and Daily Homework QuizOnline Lesson Planner User’s Guide
Other AncillariesResources in SpanishMulti-Language GlossaryStudent Algebra Tile KitOverhead Algebra Tile Kit
Transparencies: Extra Example Transparencies with Standardized
Test PracticeAnswer Transparencies for Checking HomeworkStarting Points: Alternative Lesson Opener
Transparency Package
Workbooks: Basic Skills Workbook: Diagnosis and RemediationPractice Workbook with ExamplesStandardized Test Practice WorkbookPreparation for Middle School Math, Grade 8Preparation for Middle School Math, Grade 8,
Teacher’s EditionData Analysis Sourcebook
Technology: Test and Practice Generator CD-ROMInstant Replay: Video Review GamesPower Presentations CD-ROMElectronic Teacher Tools CD-ROMPersonal Student Tutor CD-ROMAlgebra 1: Concepts and Skills Online Edition
PE = Pupil’s Edition, TE = Teacher’s Edition
1
Algebra 1: Concepts and Skills © 2004correlated to
The Indiana Academic Standards for Algebra 1
INSTRUCTION APPLICATION
Pupil’s Edition andTeacher’s Edition
Print Ancillaries,Transparencies andTechnology
STANDARD 1 Operations with Real Numbers Students simplify and compare expressions. They use rationalexponents, and simplify square roots.
A1.1.1 Compare realnumber expressions.
Example: Compare thesizes of: √36 +√64 and√(36+64)
PE/TE66-67
Chapter Resource BooksCh2:17, 18
Basic Skills Workbookwith Examples7-10, 90
Practice Workbook withExamples25, 27
Resources in Spanish26-27
Personal Student TutorCD-ROM9.1.A
Key Skills ReviewR20
PE/TE68-70, 319, 629, 770-771
TE Only66-67
Chapter Resource BooksCh2: 11-13, 15-16, 18
Basic Skills Workbookwith Examples8-10, 12, 90, 93
Practice Workbook withExamples25, 27
Standardized TestPractice Workbook9
Warm-Up Transparenciesand Daily HomeworkQuiz10-12
Extra ExamplesTransparencies withStandardized TestPractice19
Resources in Spanish26, 27
Key Skills ReviewR20
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
2
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A1.1.2 Simplify squareroots using factors.
Example: Explain why√48=4√3
PE/TE511-513, 698-700
Chapter Resource BooksCh9: 35, 38, 39; Ch12: 26
Practice Workbook withExamples187-189, 253, 255
Resources in Spanish205-206, 280
Personal Student TutorCD-ROM2.4B, 2.5A, 10.1A, 10.2A,10.3B
PE/TE514-517, 701-703
TE Only512, 699
Chapter Resource BooksCh9: 36-39, 42-43; Ch12:24-26
Practice Workbook withExamples187-189, 253, 255
Standardized TestPractice Workbook67
Warm-Up Transparenciesand Daily HomeworkQuiz73
Extra ExamplesTransparencies withStandardized TestPractice117
Starting Points:Alternative LessonOpener TransparencyPackage63
Resources in Spanish205-206, 280
Instant Replay: VideoReview Games12
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
3
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A1.1.3 Understand anduse the distributive,associative, andcommutative properties.
Example: Simplify(6x2 - 5x+1) - 2(x2 + 3x - 4)by removing theparentheses and rearranging.Explain why you can carryout each step.
PE/TE78-80, 93-94, 99-102, 108-109, 569-570, 575, 577
TE Only82
Chapter Resource Books2: 42, 66, 104; Ch3: 6
Practice Workbook withExamples31-32, 37, 40-42
Resources in Spanish30-31, 35, 37-38, 41
Power Presentations CD-ROM2.6
Personal Student TutorCD-ROM2.4B, 2.5A, 10.1A, 10.2A,10.3B
Key Skills ReviewR22, R25, R26, R34, R35
Functions SourcebookAlgebra
PE/TE81-82, 96, 103-106, 110-111, 566, 572-573, 575,577-579
TE Only80, 101-102, 108, 112
Chapter Resource Books2: 42, 45, 64-65, 97, 101-102, 104, 107
Ch3: 6; Ch10: 23-24, 27-28,33
Algebra TileInvestigations1-5
Practice Workbook withExamples32, 40-42
Standardized TestPractice Workbook13-14
Warm-Up Transparenciesand Daily HomeworkQuiz17, 78, 80
Extra ExamplesTransparencies withStandardized TestPractice28-29
Starting Points:Alternative LessonOpener TransparencyPackage14
Resources in Spanish30-31, 35, 37-38, 41
Key Skills ReviewR22, R25, R26, R35
Instant Replay: VideoReview Games12
Functions SourcebookAlgebra
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
4
INSTRUCTION APPLICATION
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Print Ancillaries,Transparencies andTechnology
A1.1.4 Use the laws ofexponents for rationalexponents.
Example: Simplify 253/2 .
PE/TE441-445, 449-451, 462, 489-490, 710-712, 748
Chapter Resource Books49-50, 52-53
Practice Workbook withExamples259-261
Resources in Spanish285-286
PE/TE443-444, 446-448, 450-454,462-466, 489-491, 712-713,748
TE Only711
Chapter Resource BooksCh12: 47-50, 52-53, 56
Practice Workbook withExamples259-261
Standardized TestPractice Workbook91
Warm-Up Transparenciesand Daily HomeworkQuiz100
Extra ExamplesTransparencies withStandardized TestPractice99-100, 102, 105, 165-166
Resources in Spanish285-286
A1.1.5 Use dimensional(unit) analysis to organizeconversions andcomputations.
Example: Convert 5 milesper hour to feet per second.
PE/TE8, 178-179
Chapter Resource BooksCh1: 1
Ch3: 102
Practice Workbook withExamples72
Resources in Spanish67-68
PE/TE178-179, 181
TE Only182
Chapter Resource BooksCh3: 102, 106
Practice Workbook withExamples72
Standardized TestPractice Workbook24
Warm-Up Transparenciesand Daily HomeworkQuiz28
Extra ExamplesTransparencies withStandardized TestPractice46
Resources in Spanish67-68
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
5
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Print Ancillaries,Transparencies andTechnology
STANDARD 2 Linear Equations and Inequalities Students solve linear equations and inequalities in onevariable. They solve word problems that involve linear equations, inequalities, or formulas.A1.2.1 Solve linearequations.
Example: Solve theequation7a + 2 = 5a - 3a + 8.
PE/TE131-134, 138-140, 144-145,150-153, 157-159, 163-165,167, 170
Chapter Resource BooksCh3: 13, 16-17, 27-28, 40
Practice Workbook withExamples49-69
Resources in Spanish51-56, 58-60, 62-63
Power Presentations CD-ROM3.3
Personal Student TutorCD-ROM3.1A, B
3.2A
3.3A, B
Key Skills ReviewR29, R30, R31, R32, R33,R34, R35
Functions SourcebookAlgebra
PE/TE133-137, 139-149, 152-156,158-170
Chapter Resource BooksCh3: 14-17, 25-28, 31, 34-36, 38-39, 44-45, 48, 50-52
Algebra TileInvestigations11-20
Practice Workbook withExamples49-69
Standardized TestPractice Workbook17-22
Warm-Up Transparenciesand Daily HomeworkQuiz21-26, 46-48
Extra ExamplesTransparencies withStandardized TestPractice34-35, 37-40, 42
Starting Points:Alternative LessonOpener TransparencyPackage17-18, 20, 22
Resources in Spanish51-60, 63
Key Skills ReviewR29, R30, R31, R32, R33,R34, R35, R41, R71
Instant Replay: VideoReview Games3, 4, 7, 11
Functions SourcebookAlgebra, Preparation forStandardized Tests
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
6
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A1.2.2 Solve equationsand formulas for aspecified variable.
Example: Solve theequation q = 4p - 11 for p.
PE/TE171-173
Chapter Resource BooksCh3: 90-91
Practice Workbook withExamples67-68
Resources in Spanish65-66
PE/TE172-176
Chapter Resource BooksCh3: 88-94
Practice Workbook withExamples67, 69
Standardized TestPractice Workbook25
Extra ExamplesTransparencies withStandardized TestPractice43
Resources in Spanish65-66
A1.2.3 Find solution setsof linear inequalitieswhen possible numbersare given for the variable.
Example: Solve theinequality 6x - 3 > 10 for xin the set {0, 1, 2, 3, 4}.
Solving linear inequalities istaught on the followingpages:
PE/TE24-26, 336-338
Chapter Resource BooksCh1: 61-62; Ch6: 42-43, 47
Practice Workbook withExamples10-12, 121-123
Solving linear inequalities istaught on the followingpages:
PE/TE27-29, 339-341
Solving linear inequalities istaught on the followingpages:
Chapter Resource BooksCh1: 55, 57-60, 65;Ch6: 35-36, 39-41, 48
Practice Workbook withExamples10-12, 121-123
Standardized TestPractice Workbook4, 41
Extra ExamplesTransparencies withStandardized TestPractice5, 47
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
7
INSTRUCTION APPLICATION
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A1.2.4 Solve linearinequalities usingproperties of order.
Example: Solve theinequality 8x - 7 ≤ 2x + 5,explaining each step in yoursolution.
PE/TE323-325, 329-332, 336-338
Chapter Resource BooksCh6: 15-16, 27-28, 40-41
Practice Workbook withExamples119-125
Resources in Spanish128-133
Personal Student TutorCD-ROM6.2A, B
Key Skills ReviewR61, R62
PE/TE324-328, 331-335, 337-341
Chapter Resource BooksCh6: 13-14, 16, 25-28, 31,34, 38-41, 45, 48
Algebra TileInvestigations21-25
Practice Workbook withExamples119-125
Standardized TestPractice Workbook40-42
Warm-Up Transparenciesand Daily HomeworkQuiz47-49
Extra ExamplesTransparencies withStandardized TestPractice75, 77-78
Starting Points:Alternative LessonOpener TransparencyPackage42
Resources in Spanish129-134
Key Skills ReviewR61, R62, R70
Instant Replay: VideoReview Games12
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
8
INSTRUCTION APPLICATION
Pupil’s Edition andTeacher’s Edition
Print Ancillaries,Transparencies andTechnology
A1.2.5 Solve combinedlinear inequalities.
Example: Solve theinequalities-7 < 3x + 5 < 11.
PE/TE342-344, 348-350
Chapter Resource BooksCh6: 52-53, 63-64
Practice Workbook withExamples127-132
Resources in Spanish135-138
Power Presentations CD-ROM6.7
Personal Student TutorCD-ROM6.4A
Key Skills ReviewR64, R65
PE/TE342-347, 349-353
Chapter Resource BooksCh6: 50-53, 56, 59, 61-64,67
Practice Workbook withExamples127-132
Standardized TestPractice Workbook43-44
Warm-Up Transparenciesand Daily HomeworkQuiz49-51
Extra ExamplesTransparencies withStandardized TestPractice79-82
Starting Points:Alternative LessonOpener TransparencyPackage43
Resources in Spanish135-138
Key Skills ReviewR64, R65, R70
Instant Replay: VideoReview Games8
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
9
INSTRUCTION APPLICATION
Pupil’s Edition andTeacher’s Edition
Print Ancillaries,Transparencies andTechnology
A1.2.6 Solve wordproblems that involvelinear equations,formulas, andinequalities.
Example: You are sellingtickets for a play that cost$3 each. You want to sell atleast $50 worth. Write andsolve an inequality for thenumber of tickets you mustsell.
PE/TE57, 134, 140, 1245, 159,165, 226, 298-300, 316,338, 372
Chapter Resource BooksCh3: 17, 41, 54
Ch5: 61-62
Practice Workbook withExamples51, 54, 57, 60, 62-63, 66,112-114
Resources in Spanish52, 54, 56, 59, 61, 63, 117-118
Power Presentations CD-ROM1.6
Personal Student TutorCD-ROM3.2B, 3.3C, 3.5A, 5.2A, B,
6.2C, 6.3B, 6.5C
Key Skills ReviewR34, R35, R36, R57, R58
PE/TE134, 136-137, 140, 142,145, 159, 161, 167, 191,214, 298-304, 317, 338, 340
TE Only143, 156, 162
Chapter Resource BooksCh3: 17, 19º20, 26, 30-31,35, 38-39, 41, 44, 51-52, 54,57-58, 61-64, 68-69, 79, 81-83; Ch5: 59-62, 69
Practice Workbook withExamples51, 54, 57, 60, 63, 66, 112-114
Standardized TestPractice Workbook17-22, 42, 44, 47, 49
Warm-Up Transparenciesand Daily HomeworkQuiz22-27, 43-44
Extra ExamplesTransparencies withStandardized TestPractice17, 34, 40-44, 71-72
Starting Points:Alternative LessonOpener TransparencyPackage19, 40-41
Resources in Spanish52, 54, 56, 59, 61, 63-64,117-118
Key Skills ReviewR33, R35, R58, R60
Functions SourcebookPreparation forStandardized Tests
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
10
INSTRUCTION APPLICATION
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STANDARD 3 Relations and Functions Students sketch and interpret graphs representing given situations.They understand the concept of a function and analyze the graphs of functions.A1.3.1 Sketch areasonable graph for agiven relationship.
Example: Sketch areasonable graph for aperson’s height from age 0to 25.
PE/TE44, 48-50, 205, 813-814
PE/TE45-46,
A1.3.2 Interpret a graphrepresenting a givensituation.
Example: Jessica is riding abicycle. The graph belowshows her speed as itrelates to the time she hasspent riding. Describe whatmight have happened toaccount for such a graph.
PE/TE44, 48-50, 205, 813-814
PE/TE45-46, 51-53, 207, 259, 815-816
Speed
Time
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.3.3 Understand theconcept of a function,decide if a given relationis a function, and linkequations to functions.
Example: Use either paperor a spreadsheet to generatea list of values for x and yiny = x2. Based on your data,make a conjecture aboutwhether or not this relationis a function. Explain yourreasoning.
PE/TE48, 50, 252-254
Chapter Resource BooksCh1: 97, 100-101
Ch4: 103-104
Practice Workbook withExamples22-23, 97-98
Resources in Spanish17, 98
Key Skills ReviewR17, R50
Functions SourcebookFunction Representation
(Part 1)
PE/TE52-53, 253-257, 262
TE Only49
Chapter Resource BooksCh1: 98-99, 101, 105, 111
Ch9: 100-104
Practice Workbook withExamples22-23, 98
Standardized TestPractice Workbook8, 33
Warm-UpTransparencies andDaily Homework Quiz11, 39
Extra ExamplesTransparencies withStandardized TestPractice16, 61
Starting Points:Alternative LessonOpener TransparencyPackage8, 33
Resources in Spanish17, 98
Key Skills ReviewR50, R51
Instant Replay: VideoReview Games4
Functions SourcebookFunction Representation
(Part 1)
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
12
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A1.3.4 Find the domainand range of a relation.
Example: Based on the listof values from the lastexample, what do thedomain and range of y = x2
appear to be? How can youdecide whether you arecorrect?
PE/TE49, 692-694
Chapter Resource BooksCh1: 100
Practice Workbook withExamples22, 97, 250-251
Resources in Spanish98, 279
Key Skills ReviewR17
Functions SourcebookGraph of a Function (Part1)
PE/TE51, 255-257, 457-459, 517,692-693, 695-697
TE Only50, 694
Chapter Resource BooksCh1: 98-100
Ch4: 43, 99, 101-103, 107
Practice Workbook withExamples98, 250-251
Standardized TestPractice Workbook8, 28, 88
Warm-UpTransparencies andDaily Homework Quiz11, 37, 97
Extra ExamplesTransparencies withStandardized TestPractice158, 160
Resources in Spanish98, 279
Key Skills ReviewR18
Functions SourcebookGraph of a Function (Part1)
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
13
INSTRUCTION APPLICATION
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STANDARD 4 Graphing Linear Equations and Inequalities Students graph linear equations and inequalitiesin two variables. They write equations of lines and find and use the slope and y-intercept of lines. They uselinear equations to model real data.A1.4.1 Graph a linearequation.
Example: Draw the graph ofthe line with slope 3 and y-intercept -2.
PE/TE209, 211-212, 216-217, 222-224, 237, 243-244, 250-251,254
Chapter Resource BooksCh4: 5-6, 29, 39, 51-52, 92,104
Practice Workbook withExamples81-83, 86, 95, 99
Resources in Spanish85-86, 90, 96, 99
Personal Student TutorCD-ROM4.1B, 4.2C
Key Skills ReviewR43, R45, R49
PE/TE212-215, 219, 221, 224-226,237, 239-241, 246-248, 254,256-258, 260, 262, 275,284, 297, 302
TE Only211, 217, 223, 244, 249
Chapter Resource BooksCh4: 26-27, 29, 31, 37, 39,43, 49-52, 80, 90-91, 101-102, 104
Practice Workbook withExamples81-84, 87, 95, 99
Standardized TestPractice Workbook27, 32-36
Warm-Up Transparenciesand Daily HomeworkQuiz32-34, 36-38
Extra ExamplesTransparencies withStandardized TestPractice51-52, 54, 57, 59, 62
Starting Points:Alternative LessonOpener TransparencyPackage26-29, 34-36
Resources in Spanish85-86, 90, 96, 99, 102-103
Key Skills ReviewR43, R45, R48, R49, R51
Instant Replay: VideoReview Games7
Functions SourcebookRate of Change
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.4.2 Find the slope, x-intercept and y-interceptof a line given its graph,its equation, or two pointson the line.
Example: Find the slopeand y-intercept of the line4x + 6y = 12.
PE/TE228-232, 242-245, 269-271
Chapter Resource BooksCh4: 51-52, 63-64, 92-93
Practice Workbook withExamples88-89, 94
Resources in Spanish91-92, 96-97, 99
Power Presentations CD-ROM4.5
Personal Student TutorCD-ROM4.2A, B
Key Skills ReviewR45, R46, R47
Functions SourcebookGraph of a Function (Part2)
Rate of Change
PE/TE230-235, 244-248, 262, 264,269-275
TE Only223, 227, 249
Chapter Resource BooksCh4: 49-52, 54-55, 58, 61-64, 71, 80, 83, 85, 90-93,96, 99, 109-111, 113
Practice Workbook withExamples89-90, 94
Standardized TestPractice Workbook29-30, 32-33
Warm-Up Transparenciesand Daily HomeworkQuiz34-38
Extra ExamplesTransparencies withStandardized TestPractice55-56, 59-60, 64
Starting Points:Alternative LessonOpener TransparencyPackage30, 32, 34, 36
Resources in Spanish91-92, 96-97, 99
Key Skills ReviewR45, R47
Instant Replay: VideoReview Games4, 5, 6, 7
Functions SourcebookGraph of a Function (Part2)
Rate of Change
Preparation forStandardized Tests
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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15
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A1.4.3 Write the equationof a line in slope-interceptform. Understand how theslope and y-intercept ofthe graph are related tothe equation.
Example: Write theequation of the line 4x + 6y= 12 in slope-intercept form.What is the slope of thisline? Explain your answer.
PE/TE243, 245
Chapter Resource BooksCh5: 15-16
Practice Workbook withExamples94-95
Resources in Spanish96-97
Power Presentations CD-ROM5.3
Personal Student TutorCD-ROM5.1A, B
Key Skills ReviewR49, R52, R53, R54
Data Analysis Sourcebook5.1
PE/TE244-248, 275, 281, 286,309, 316
TE Only249, 280, 311
Chapter Resource BooksCh5: 13-16, 25, 31, 34, 36-37, 39, 45
Practice Workbook withExamples94, 95
Standardized TestPractice Workbook32-34, 36, 39
Warm-Up Transparenciesand Daily HomeworkQuiz42-43
Extra ExamplesTransparencies withStandardized TestPractice63-68
Starting Points:Alternative LessonOpener TransparencyPackage32
Resources in Spanish96-97
Key Skills ReviewR49, R51, R52, R53, R54,R72
Instant Replay: VideoReview Games4, 7, 8
Data Analysis Sourcebook5.1
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.4.4 Write the equationof a line givenappropriate information.
Example: Find an equationof the line through thepoints (1, 4) and (3, 10),then find an equation of theline through the point (1, 4)perpendicular to the firstline.
PE/TE269-271, 276-280, 285-287,292-293, 305-308
Chapter Resource BooksCh5: 16, 26-27, 38-39, 50,53, 77
Practice Workbook withExamples100-103, 105-107, 110-111
Resources in Spanish107-113, 115, 119-120
Personal Student TutorCD-ROM5.1A, B
Key Skills ReviewR52, R53, R54, R55
PE/TE269-274, 276-283, 285-289,292-297, 306-310
TE Only275, 290, 311
Chapter Resource BooksCh5: 13-16, 23-27, 30-31,34, 36-39, 45, 47-50, 53-54,57-58, 74-75, 77, 80
Practice Workbook withExamples100-102, 104-106, 108, 110-111
Standardized TestPractice Workbook34-39
Warm-Up Transparenciesand Daily HomeworkQuiz40-44, 46
Extra ExamplesTransparencies withStandardized TestPractice63, 65-70
Starting Points:Alternative LessonOpener TransparencyPackage34, 36, 38
Resources in Spanish107-113, 115-116, 119-124
Key Skills ReviewR52, R53, R54, R56, R72
Instant Replay: VideoReview Games5, 11
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.4.5 Write the equationof a line that models adata set and use theequation (or the graph ofthe equation) to makepredictions. Describe theslope of the line in termsof the data, recognizingthat the slope is the rate ofchange.
Example: As your family istraveling along aninterstate, you note thedistance traveled every 5minutes. A graph of timeand distance shows that therelation is approximatelylinear. Write the equation ofthe line that fits your data.Predict the time for ajourney of 50 miles. Whatdoes the slope represent?
PE/TE298-300
Chapter Resource BooksCh1: 104
Ch5: 61-62
Practice Workbook withExamples112, 114
Resources in Spanish117-118
Power Presentations CD-ROM5.3
Key Skills ReviewR57, R58
Data Analysis Sourcebook5.1
PE/TE214, 216, 282, 298-304
Chapter Resource BooksCh5: 59-62, 89
Practice Workbook withExamples112-114
Standardized TestPractice Workbook38
Warm-Up Transparenciesand Daily HomeworkQuiz43-44
Extra ExamplesTransparencies withStandardized TestPractice71-72
Starting Points:Alternative LessonOpener TransparencyPackage36
Resources in Spanish117-118
Key Skills ReviewR58, R60
Instant Replay: VideoReview Games4, 12
Functions SourcebookPreparation forStandardized Tests
Data Analysis Sourcebook5.1
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
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A1.4.6 Graph a linearinequality in twovariables.
Example: Draw the graph ofthe inequality6x + 8y ≥ 24.
PE/TE367-369, 374, 378
Chapter Resource BooksCh6: 101
Practice Workbook withExamples140-141
Resources in Spanish144-145
Personal Student TutorCD-ROM6.6A
Key Skills ReviewR69
PE/TE368-374
TE Only378
Chapter Resource BooksCh6: 98-99, 101, 109
Practice Workbook withExamples140-141
Standardized TestPractice Workbook47
Warm-Up Transparenciesand Daily HomeworkQuiz55
Extra ExamplesTransparencies withStandardized TestPractice87-88
Starting Points:Alternative LessonOpener47
Resources in Spanish145, 147, 149
Key Skills ReviewR69, R70
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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STANDARD 5 Pairs of Linear Equations and Inequalities Students solve pairs of linear equations usinggraphs and using algebra. They solve pairs of linear inequalities using graphs. They solve word problemsinvolving pairs of linear equations.A1.5.1 Use a graph toestimate the solution of apair of linear equations intwo variables.
Example: Graph theequations 3y - x = 0 and2x + 4y = 15 to find wherethe lines intersect.
PE/TE387, 389-391, 395
Chapter Resource BooksCh8: 16-17
Practice Workbook withExamples142-144
Resources in Spanish157-158
Personal Student TutorCD-ROM7.1A
PE/TE390-395
Chapter Resource BooksCh1: 12, 14-17, 20, 23
Practice Workbook withExamples142, 144
Standardized TestPractice Workbook52
Warm-Up Transparenciesand Daily HomeworkQuiz56, 58
Extra ExamplesTransparencies withStandardized TestPractice89
Starting Points:Alternative LessonOpener TransparencyPackage48
Resources in Spanish157-158
Instant Replay: VideoReview Games7
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.5.2 Use a graph to findthe solution set of a pair oflinear inequalities in twovariables.
Example: Graph theinequalities y ≤ 4 andx + y ≤ 5. Shade the regionwhere both inequalities aretrue.
PE/TE423-426, 434
Chapter Resource BooksCh7: 76
Practice Workbook withExamples157
Resources in Spanish168-169
Personal Student TutorCD-ROM7.5A
PE/TE423, 425-430
TE Only434
Chapter Resource BooksCh7: 61-62, 74-76, 81, 84,86,
Practice Workbook withExamples157
Standardized TestPractice Workbook57
Extra ExamplesTransparencies withStandardized TestPractice97-98
Resources in Spanish163, 168
A1.5.3 Understand anduse the substitutionmethod to solve a pair oflinear equations in twovariables.
Example: Solve theequations y = 2x and 2x +3y =12 by substitution.
PE/TE396-398
Chapter Resource BooksCh7: 27-28, 31
Practice Workbook withExamples145-146
Resources in Spanish159-160
Personal Student Tutor7.2A, B
PE/TE397-401, 408
Chapter Resource BooksCh7: 25-28, 30-31, 61-62
Practice Workbook withExamples146-147
Standardized TestPractice Workbook53-54, 56
Warm-Up Transparenciesand Daily HomeworkQuiz56-60
Extra ExamplesTransparencies withStandardized TestPractice91-93
Starting Points:Alternative LessonOpener TransparencyPackage49
Resources in Spanish159-160, 163
Instant Replay: VideoReview Games7, 9
A1.5.4 Understand anduse the addition orsubtraction method to
PE/TE402-404
Practice Workbook with
PE/TE402-405
Chapter Resource BooksCh7: 35-37, 61-62
Practice Workbook with
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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solve a pair of linearequations in twovariables.
Example: Use subtraction tosolve the equations:3x + 4y = 11, 3x + 2y = 7.
Examples149
Resources in Spanish162
Personal Student TutorCD-ROM7.3A
TE Only407
Examples148-150
Standardized TestPractice Workbook54-55
Extra ExamplesTransparencies withStandardized TestPractice93
Starting Points:Alternative LessonOpener TransparencyPackage50
Resources in Spanish161-162
Instant Replay: VideoReview Games7, 8
A1.5.5 Understand anduse multiplication withthe addition orsubtraction method tosolve a pair of linearequations in twovariables.
Example: Usemultiplication with thesubtraction method to solvethe equations:x + 4y = 16, 3x = 2y = -3.
PE/TE403
Chapter Resource BooksCh7: 38-39, 42, 50-51
Practice Workbook withExamples148, 153
Resources in Spanish161-162
Personal Student TutorCD-ROM7.3A
PE/TE403-408
Chapter Resource BooksCh7: 38-39, 41-43, 46, 48-51, 54-55
Practice Workbook withExamples149, 153
Standardized TestPractice Workbook55
Warm-Up Transparenciesand Daily HomeworkQuiz58-60
Extra ExamplesTransparencies withStandardized TestPractice93
(continued on next page)
Starting Points:Alternative LessonOpener TransparencyPackage51
Resources in Spanish
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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161, 163
Instant Replay: VideoReview Games7, 8
A1.5.6 Use pairs of linearequations to solve wordproblems.
Example: The income acompany makes from acertain product can berepresented by the equationy = 10.5x and the expensesfor that product can berepresented by the equationy = 5.25x + 10,000, where xis the amount of the productsold and y is the number ofdollars. How much of theproduct must be sold for thecompany to reach thebreak-even point?
PE/TE409-411
Practice Workbook withExamples151-153
Resources in Spanish164-165
Personal Student TutorCD-ROM7.4A, B
PE/TE410, 412-414
TE Only411
Chapter Resource BooksCh7: 47-49, 53-55
Practice Workbook withExamples153
Standardized TestPractice Workbook54-55
Warm-Up Transparenciesand Daily HomeworkQuiz56-57, 59
Extra ExamplesTransparencies withStandardized TestPractice94
Starting Points:Alternative LessonOpener TransparencyPackage50-51
Resources in Spanish164-165
Instant Replay: VideoReview Games7
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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STANDARD 6 Polynomials Students add, subtract, multiply, and divide polynomials. They factor quadratics.A1.6.1 Add and subtractpolynomials.
Example: Simplify(4x2 - 7x + 2) -(x2 + 4x - 5).
PE/TE567-570
Chapter Resource BooksCh10: 17
Practice Workbook withExamples206-207
Resources in Spanish231
Personal Student TutorCD-ROM10.1A, B
PE/TE568-572
TE Only573
Chapter Resource BooksCh10: 14-15, 17, 20
Algebra TileInvestigations6-10, 36-41
Practice Workbook withExamples206-207
Standardized TestPractice Workbook73
Warm-Up Transparenciesand Daily HomeworkQuiz80, 92
Extra ExamplesTransparencies withStandardized TestPractice128-129
Starting Points:Alternative LessonOpener TransparencyPackage69
Resources in Spanish231, 236, 248, 250
Instant Replay: VideoReview Games10
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.6.2 Multiply anddivide monomials.
Example: Simplifya2b5 ÷ ab2.
PE/TE443, 462, 464
Chapter Resource BooksCh8: 16, 54
Practice Workbook withExamples162, 169
Resources in Spanish185-186
Personal Student TutorCD-ROM8.1A, 8.2A, 11.4A
PE/TE443-447, 462, 464, 466,493- 494
TE Only444, 451, 463
Chapter Resource BooksCh8: 13-14, 16, 19, 22, 51-54, 60
Practice Workbook withExamples162, 169-170
Standardized TestPractice Workbook58-59, 61
Warm-Up Transparenciesand Daily HomeworkQuiz62-63, 66
Extra ExamplesTransparencies withStandardized TestPractice100
Resources in Spanish185-186
Instant Replay: VideoReview Games8
A1.6.3 Find powers androots of monomials (onlywhen the answer has aninteger exponent).
Example: Find the squareroot of a2b6.
PE/TE444-445
Chapter Resource BooksCh8: 15-16
Practice Workbook withExamples161-162
Resources in Spanish179
PE/TE444-448, 453
Chapter Resource BooksCh8: 13-16, 19
Practice Workbook withExamples161-162
Standardized TestPractice Workbook58-59
Warm-Up Transparenciesand Daily HomeworkQuiz63
Extra ExamplesTransparencies withStandardized TestPractice99
(continued on next page)
Resources in Spanish179
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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Instant Replay: VideoReview Games8
A1.6.4 Multiplypolynomials.
Example: Multiply(n + 2)(4n - 5).
PE/TE574-577, 581-584, 623-624
Chapter Resource BooksCh10: 29-30, 40
Practice Workbook withExamples208-212
Resources in Spanish232-234
Personal Student TutorCD-ROM10.2B, C, D
PE/TE575-580, 582-587, 624, 627-628
Chapter Resource BooksCh10: 25, 27-30, 33, 36, 38-40, 45
Algebra TileInvestigations42-46
Practice Workbook withExamples208-212
Standardized TestPractice Workbook74-75
Warm-Up Transparenciesand Daily HomeworkQuiz81-83, 85
Extra ExamplesTransparencies withStandardized TestPractice130, 132
Starting Points:Alternative LessonOpener TransparencyPackage70-71, 73-75
Resources in Spanish232-234, 236, 248, 250
Instant Replay: VideoReview Games10
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.6.5 Divide polynomialsby monomials.
Example: Divide4x3y2 + 8xy4 - 6x2y5 by 2xy2.
PE/TE647
Chapter Resource BooksCh11: 40
Practice Workbook withExamples235
Resources in Spanish259
PE/TE647, 649
TE Only650
Chapter Resource BooksCh11: 40Practice Workbook withExamples235
Warm-Up Transparenciesand Daily HomeworkQuiz91
Resources in Spanish259
A1.6.6 Find a commonmonomial factor in apolynomial.
Example: Factor36xy2 + 18xy4 - 12x2y4.
PE/TE604, 616-617
Chapter Resource BooksCh10: 103
Practice Workbook withExamples226-227
Resources in Spanish245-246
Power Presentations CD-ROM10.6
Personal Student TutorCD-ROM10.3A, B, 10.6B
PE/TE616-617, 620-622, 626-627
Chapter Resource BooksCh10: 100-103
Practice Workbook withExamples226-227
Standardized TestPractice Workbook79-80
Warm-Up Transparenciesand Daily HomeworkQuiz88
Extra ExamplesTransparencies withStandardized TestPractice142-143
Starting Points:Alternative LessonOpener TransparencyPackage76
Resources in Spanish245-247, 249, 251
A1.6.7 Factor thedifference of two squaresand other quadratics.
Example: Factor 4x2 - 25and 2x2 - 7x + 3.
PE/TE594-597, 602-604, 609-612,619, 625-626
Chapter Resource BooksCh10: 65-66, 77
Practice Workbook withExamples217-218, 220-221, 223, 227
Resources in Spanish239-242, 244, 246
PE/TE595-601, 603-604, 606-608,610-617, 620-622, 625-628
Chapter Resource BooksCh10: 63-66, 72, 75-78, 81,85
Algebra TileInvestigations47-51
Practice Workbook withExamples217-218, 220-221, 223, 227
Standardized Test
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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Power Presentations CD-ROM10.6
Personal Student TutorCD-ROM10.4A, B, 10.5A, B, 10.6A
Practice Workbook77-80
Warm-Up Transparenciesand Daily HomeworkQuiz84-86, 88
Extra ExamplesTransparencies withStandardized TestPractice136, 138, 140
Resources in Spanish239-244, 246, 249, 251
Instant Replay: VideoReview Games10
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.6.8 Understand anddescribe the relationshipsamong the solutions of anequation, the zeros of afunction, the x-interceptsof a graph, and the factorsof a polynomialexpression.
Example: A graphingcalculator can be used tosolve 3x2 - 5x - 1 = 0 to thenearest tenth. Justify usingthe x-intercepts ofy = 3x2 - 5x - 1 as thesolutions of the equation.
PE/TE526-528, 532, 534, 588-590,611
Chapter Resource BooksCh9: 66-67
Practice Workbook withExamples193-194, 216
Resources in Spanish210-211
Power Presentations CD-ROM9.5
PE/TE526-532, 536, 539, 588-593,608
TE Only635
Chapter Resource BooksCh9: 59, 64-67, 73, 75-76
Ch10: 51-52
Practice Workbook withExamples193-194, 216
Standardized TestPractice Workbook69
Warm-Up Transparenciesand Daily HomeworkQuiz75
Extra ExamplesTransparencies withStandardized TestPractice121
Starting Points:Alternative LessonOpener TransparencyPackage65
Resources in Spanish210-211
Instant Replay: VideoReview Games9, 10
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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STANDARD 7 Algebraic Fractions Students simplify algebraic ratios and solve algebraic proportions.A1.7.1 Simplify algebraicratios.
Example: Simplify xx
x
4
16
2
2
+
−
PE/TE646-648
Chapter Resource BooksCh11: 37, 40-41
Practice Workbook withExamples235-237
Resources in Spanish259-260
Personal Student TutorCD-ROM11.4A
PE/TE647-650
Chapter Resource BooksCh11: 38-41, 44-45
Practice Workbook withExamples235-237
Standardized TestPractice Workbook83
Warm-Up Transparenciesand Daily HomeworkQuiz91
Extra ExamplesTransparencies withStandardized TestPractice149-150
Resources in Spanish259-260
Instant Replay: VideoReview Games11
A1.7.2 Solve algebraicproportions.
Example: Create a tutorialto be posted to the school’sweb site to instructbeginning students in thesteps involved in solving analgebraic proportion. Use
7
53
4
5 ++=
xx
as anexample.
PE/TE670
Chapter Resource BooksCh11: 7-8, 15-16, 86
Practice Workbook withExamples247
Resources in Spanish268
Personal Student TutorCD-ROM11.1A, B
PE/TE670, 674-675, 677
TE Only671, 676
Chapter Resource BooksCh11: 13-14, 16, 19, 22, 45,84-85
Practice Workbook withExamples247
Standardized TestPractice Workbook81, 87
Warm-Up Transparenciesand Daily HomeworkQuiz94, 96, 98
Extra ExamplesTransparencies withStandardized TestPractice157
Resources in Spanish268, 270-272
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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STANDARD 8 Quadratic, Cubic, and Radical Equations Students graph and solve quadratic and radicalequations. They graph cubic equations.A1.8.1 Graph quadratic,cubic, and radicalequations.
Example: Draw the graph ofy = x2 - 3x + 2. Using agraphing calculator or aspreadsheet (generate adata set), display the graphto check your work.
PE/TE518-522, 554, 691, 693-694
Chapter Resource BooksCh9: 51-52
Ch12: 15-16
Practice Workbook withExamples166-167, 191-192, 250-251
Resources in Spanish182-183, 208-209, 278-279
Personal Student TutorCD-ROM9.3A
PE/TE520-525, 554, 693-694, 696-697, 753
Chapter Resource BooksCh9: 47, 49-50, 51, 59
Ch12: 14-16
Practice Workbook withExamples166-167, 191-192, 250-251
Standardized TestPractice Workbook60, 68-69, 88
Warm-Up Transparenciesand Daily HomeworkQuiz65
Extra ExamplesTransparencies withStandardized TestPractice103, 120-121, 159
Starting Points:Alternative LessonOpener TransparencyPackage55, 64
Resources in Spanish183, 209, 278-279
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.8.2 Solve quadraticequations by factoring.
Example: Solve theequation x2 - 3x + 2 = 0 byfactoring.
PE/TE598, 600, 605, 612
Chapter Resource BooksCh10: 78, 93
Practice Workbook withExamples219, 222, 224-225
Resources in Spanish242, 245
Personal Student TutorCD-ROM10.7A
PE/TE598-601, 605, 607-608, 612-615
TE Only611
Chapter Resource BooksCh10: 63-64, 75-76, 78, 90-91, 93, 96
Practice Workbook withExamples219, 222, 224-225
Standardized TestPractice Workbook77-80
Warm-Up Transparenciesand Daily HomeworkQuiz84-86
Extra ExamplesTransparencies withStandardized TestPractice137-138, 141
Starting Points:Alternative LessonOpener TransparencyPackage72
Resources in Spanish242-243, 245, 249, 251
Instant Replay: VideoReview Games10, 11, 12
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.8.3 Solve quadraticequations in which aperfect square equals aconstant.
Example: Solve theequation (x - 7)2 = 64.
PE/TE505-507, 717
Chapter Resource BooksCh9: 27, 31
Practice Workbook withExamples184-186
Resources in Spanish203-204
Personal Student TutorCD-ROM9.1C, 12.3A
PE/TE505-509, 517, 717-721
TE Only510
Chapter Resource BooksCh9: 27-28, 31, 34
Algebra TileInvestigations26-35
Practice Workbook withExamples184-186
Standardized TestPractice Workbook66
Warm-Up Transparenciesand Daily HomeworkQuiz72, 74-75
Extra ExamplesTransparencies withStandardized TestPractice115
Resources in Spanish203-204
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.8.4 Complete thesquare to solve quadraticequations.
Example: Solve theequation x2 - 7x + 9 = 0 bycompleting the square.
PE/TE716-718, 749
Chapter Resource BooksCh12: 61-62
Practice Workbook withExamples262-264
Resources in Spanish287-288
Power Presentations CD-ROM12.5
Personal Student TutorCD-ROM12.3A
PE/TE716-721, 749, 751-752
Chapter Resource BooksCh12: 59-62, 68
Practice Workbook withExamples262-264
Standardized TestPractice Workbook92
Warm-Up Transparenciesand Daily HomeworkQuiz101
Extra ExamplesTransparencies withStandardized TestPractice167-168
Starting Points:Alternative LessonOpener TransparencyPackage88
Resources in Spanish287-288
Instant Replay: VideoReview Games12
A1.8.5 Derive thequadratic formula bycompleting the square.
Example: Prove that theequation ax2 + bx + c = 0has solutions
a
acbbx
2
42 −±−=
PE/TE717
Power Presentations CD-ROM12.5
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.8.6 Solve quadraticequations by using thequadratic formula.
Example: Solve theequation x2 - 7x + 9 = 0.
PE/TE533-535, 718
Chapter Resource BooksCh9: 74, 77-78
Practice Workbook withExamples196, 198
Resources in Spanish212-213
Personal Student TutorCD-ROM9.4A
PE/TE533, 535-538, 718-721
TE Only534
Chapter Resource BooksCh9: 75-78
Algebra TileInvestigations26-35
Practice Workbook withExamples197-198
Standardized TestPractice Workbook70, 92
Warm-Up Transparenciesand Daily HomeworkQuiz76
Extra ExamplesTransparencies withStandardized TestPractice123
Resources in Spanish212-214
Instant Replay: VideoReview Games9, 12
A1.8.7 Use quadraticequations to solve wordproblems.
Example: A ball falls sothat its distance above theground can be modeled bythe equations = 100 - 16t2,where s is the distanceabove the ground in feetand t is the time in seconds.According to this model, atwhat time does the ball hitthe ground?
PE/TE507, 513, 524-525, 528,535, 545
Practice Workbook withExamples198
Resources in Spanish211, 213
Power Presentations CD-ROM10.6
PE/TE507-509, 513, 524-525, 528,530, 535, 537-538, 545
Chapter Resource BooksCh9: 31, 54, 69-70, 75-76
Practice Workbook withExamples198
Standardized TestPractice Workbook66, 70, 72
Extra ExamplesTransparencies withStandardized TestPractice116, 118, 122-123
Starting Points:Alternative LessonOpener TransparencyPackage66-67
Resources in Spanish211, 213
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.8.8 Solve equationsthat contain radicalexpressions.
Example: Solve theequation
√(x+6) = x
PE/TE704-706
Chapter Resource BooksCh12: 37, 41
Practice Workbook withExamples256-258
Resources in Spanish282-283
Personal Student TutorCD-ROM12.2A, B
PE/TE705-708
TE Only709
Chapter Resource BooksCh12: 35-38, 41, 45
Practice Workbook withExamples256-258
Standardized TestPractice Workbook90
Warm-Up Transparenciesand Daily HomeworkQuiz98-99
Extra ExamplesTransparencies withStandardized TestPractice163-164
Resources in Spanish282-284
Instant Replay: VideoReview Games12
A1.8.9 Use graphingtechnology to findapproximate solutions ofquadratic and cubicequations.
Example: Use a graphingcalculator to solve3x2 - 5x - 1 = 0 to thenearest tenth.
PE/TE526-528, 532
Chapter Resource BooksCh9: 66-67
Practice Workbook withExamples193-194
Resources in Spanish210-211
Power Presentations CD-ROM9.5
PE/TE526-530, 532
TE Only531
Chapter Resource BooksCh9: 59, 64-67, 73
Practice Workbook withExamples193-194
Standardized TestPractice Workbook69
Warm-Up Transparenciesand Daily HomeworkQuiz75
Extra ExamplesTransparencies withStandardized TestPractice121
Starting Points:Alternative LessonOpener TransparencyPackage65
Resources in Spanish210-211
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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Print Ancillaries,Transparencies andTechnologyInstant Replay: VideoReview Games9, 10
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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STANDARD 9 Mathematical Reasoning and Problem Solving Students use a variety of strategies to solveproblems.A1.9.1 Use a variety ofproblem solvingstrategies, such asdrawing a diagram,making a chart, guess-and-check, solving asimpler problem, writingan equation, and workingbackwards.
Example: Fran has scored16, 23, and 30 points in herlast three games. How manypoints must she score in thenext game so that her fourgame average does not fallbelow 20 points?
PE/TE22, 36-38, 119, 298-300,406, 725, 742-743, 781-782
Data Analysis Sourcebook1.1
PE/TE37, 38, 120, 298-303, 725,
743, 781-782
Chapter Resource BooksCh12: 78, 112
Data Analysis Sourcebook1.1
A1.9.2 Decide whether asolution is reasonable inthe context of the originalsituation.
Example: John says theanswer to the problem inthe first example is 10points. Is his answerreasonable? Why or whynot?
PE/TE164-165, 338, 507, 535
TE Only181
Chapter Resource BooksCh3: 79
Ch9: 78, 80
A1.9.3 Use the propertiesof the real number systemand the order ofoperations to justify thesteps of simplifyingfunctions and solvingequations.
Example: Given anargument (such as 3x + 7 >5x + 1, and therefore -2x > -6, and therefore x > 3),provide a visualpresentation of a step-by-step check, highlighting anyerrors in the argument.
PE/TE109, 133, 145-146, 152-153,158
Resources in Spanish41
PE/TE109, 111, 133, 135-136,147-149, 153-154, 158, 160
TE Only:146
Chapter Resource Books2: 82
Instant Replay: VideoReview Games12
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
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A1.9.4 Understand thatthe logic of equationsolving begins with theassumption that thevariable is a number thatsatisfies the equation, andthat the steps taken whensolving equations createnew equations that have,in most cases, the samesolution set as theoriginal. Understand thatsimilar logic applies tosolving systems ofequations simultaneously.
Example: Try “solving” theequations x + 3y = 5 and5x + 15y = 25simultaneously, and explainwhat went wrong.
PE/TE417-419, 541_542, 545
Chapter Resource BooksCh7: 63-64
Practice Workbook withExamples154-156, 199-201
Resources in Spanish166-167, 215-216
Power Presentations CD-ROM7.5
PE/TE417-422, 543-544
Chapter Resource BooksCh7: 60-64, 67
Practice Workbook withExamples154-156, 199-201
Standardized TestPractice Workbook56, 71
Warm-Up Transparenciesand Daily HomeworkQuiz60
Extra ExamplesTransparencies withStandardized TestPractice95, 124
Starting Points:Alternative LessonOpener TransparencyPackage52, 67
Resources in Spanish166-167, 215-216
A1.9.5 Decide whether agiven algebraic statementis true always, sometimes,or never (statementsinvolving linear orquadratic expressions,equations, orinequalities).
Example: Is the statementx2 - 5x + 2 = x2 + 5x + 2true always, sometimes, ornever? Explain youranswer.
PE/TE206, 551, 571, 713
Chapter Resource Books2: 33
Key Skills ReviewR27
A1.9.6 Distinguishbetween inductive anddeductive reasoning,identifying and providingexamples of each.
Example: What type ofreasoning are you usingwhen you look for apattern?
PE/TE119-120
PE/TE119-120, 453, 781
Algebra 1: Concepts and Skills © 2004 correlated toThe Indiana Academic Standards for Algebra 1
PE = Pupil’s Edition, TE = Teacher’s Edition
40
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Pupil’s Edition andTeacher’s Edition
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A1.9.7 Identify thehypothesis and conclusionin a logical deduction.
Example: What is thehypothesis and conclusionin this argument: If there isa number x such that2x + 1 = 7, then x = 3.
PE/TE120, 726
PE/TE120, 727
A1.9.8 Usecounterexamples to showthat statements are false,recognizing that a singlecounterexample issufficient to prove ageneral statement false.
Example: Use thedemonstration-graphingcalculator on an overheadprojector to produce anexample showing that thisstatement is false: allquadratic equations havetwo different solutions.
PE/TE73, 119, 742
Chapter Resource BooksCh12: 109-110
Practice Workbook withExamples30
Resources in Spanish28-29
PE/TE73-75, 744
TE Only76, 119
Chapter Resource Books2: 27-28
Ch12: 107-108
Practice Workbook withExamples30
Standardized TestPractice Workbook96
Warm-Up Transparenciesand Daily HomeworkQuiz13
Extra ExamplesTransparencies withStandardized TestPractice21
Resources in Spanish29
Instant Replay: VideoReview Games12