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Lesson Planning Guide

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the UnitedStates of America. Permission is granted to reproduce the material contained herein on thecondition that such material be reproduced only for classroom use; be provided to students,teachers, and families without charge; and be used solely in conjunction with Glencoe Algebra 2. Any other reproduction, for use or sale, is prohibited without prior writtenpermission of the publisher.

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Algebra 2ISBN: 0-07-828022-2 Lesson Planning Guide

2 3 4 5 6 7 8 9 10 024 07 06 05 04 03

Glencoe/McGraw-Hill

© Glencoe/McGraw-Hill iii Algebra 2

CONTENTS

Chapter PageNCTM Principles and Standards . . . . . . . . . . . . . . . . . . . . . . . . . .iv

1 Solving Equations and Inequalities . . . . . . . . . . . . . . . . . . . . . . . .1

2 Linear Relations and Functions . . . . . . . . . . . . . . . . . . . . . . . . . . .9

3 Systems of Equations and Inequalities . . . . . . . . . . . . . . . . . . . .18

4 Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .26

5 Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .37

6 Quadratic Functions and Inequalities . . . . . . . . . . . . . . . . . . . . .48

7 Polynomial Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .58

8 Conic Sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .69

9 Rational Expressions and Equations . . . . . . . . . . . . . . . . . . . . . .80

10 Exponential and Logarithmic Relations . . . . . . . . . . . . . . . . . . . .90

11 Sequences and Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .99

12 Probability and Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111

13 Trigonometric Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .124

14 Trigonometric Graphs and Identities . . . . . . . . . . . . . . . . . . . . .133

© Glencoe/McGraw-Hill iv Algebra 2

NCTM Principles and Standards for SchoolMathematics

For more information about the National Council of Teachers of Mathematics, log on to www.nctm.org.

NCTM Principles for School Mathematics

• Equity Excellence in mathematics education requires equity—high expectationsand strong support for all students.

• Curriculum A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades.

• Teaching Effective mathematics teaching requires understanding what studentsknow and need to learn and then challenging and supporting them to learn it well.

• Learning Students must learn mathematics with understanding, actively buildingnew knowledge from experience and prior knowledge.

• Assessment Assessment should support the learning of important mathematicsand furnish useful information to both teachers and students.

• Technology Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning.

NCTM Standards for School Mathematics*

Standard 1: Number and Operations

Standard 2: Algebra

Standard 3: Geometry

Standard 4: Measurement

Standard 5: Data Analysis and Probability

Standard 6: Problem Solving

Standard 7: Reasoning and Proof

Standard 8: Communication

Standard 9: Connections

Standard 10: Representation

* The number assigned to each standard is for easy reference and is not part of each standard’s official title.

Teacher’s Name Dates

Grade Class M Tu W Th F

Lesson Planning Guide (pp. 6–10)

Assignment Guide, pp. 8–10, SEObjective 1 Objective 2 Other

Basic 17–33 odd, 37 39–47 odd, 53 55–66

Average 17–37 odd 39–53 odd 55–66

Advanced 16–36 even 38–54 even 55–58(optional:59–66)

Alternate Assignment

NCTM Standards

1, 2, 4, 8, 9

Recommended Pacing

Regular Average Day 1 of 9

Regular Advanced Optional

Block Average Day 1 of 4.5

Block Advanced Optional

KEY SE = Student Edition TWE = Teacher Wraparound Edition CRM = Chapter Resource Masters

4 AssessOpen-Ended Assessment, TWE, p. 10Enrichment, CRM, p. 6

algebra2.com/self_check_quiz

© Glencoe/McGraw-Hill 1 Glencoe Algebra 2

ObjectivesUse the order of operations to evaluate expressions.Use formulas.State/local objectives:

1 FocusMaterials/Resources Needed

Building on Prior Knowledge, TWE, p. 65-Minute Check Transparencies, Lesson 1-1Mathematical Background, TWE, p. 4CTeacherWorks CD-ROM

2 TeachIn-Class Examples, TWE, pp. 7–8Interactive Chalkboard CD-ROM, Lesson 1-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 8–9Study Guide and Intervention, CRM,pp. 1–2Reading to Learn Mathematics, CRM, p. 5TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 3Practice, CRM, p. 4Extra Practice, SE, p. 828Differentiated Instruction, TWE, p. 8School-to-Career Masters, p. 1Science and Mathematics Lab Manual,pp. 93–98Real-World Transparency and MasterAnswer Key Transparencies, Lesson 1-1

1-11-1

Closing the Gap for Absent Students, pp. 30–31





ObjectivesClassify real numbers.Use the properties of real numbers to evaluateexpressions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 12–14Teaching Algebra with Manipulatives, p. 212Interactive Chalkboard CD-ROM, Lesson 1-2algebra2.com/extra_examplesGuide to Daily Intervention, pp. 8–9Daily Intervention, TWE, pp. 15, 18Study Guide and Intervention, CRM,pp. 7–8Reading to Learn Mathematics, CRM, p. 11TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 9Practice, CRM, p. 10Extra Practice, SE, p. 828Differentiated Instruction, TWE, p. 14Answer Key Transparencies, Lesson 1-2

4 AssessPractice Quiz 1, SE, p. 18Open-Ended Assessment, TWE, p. 18Enrichment, CRM, p. 12

Assessment, Quiz, CRM, p. 51algebra2.com/self_check_quiz

1-21-2


NCTM Standards

1, 8, 9

Recommended Pacing






Basic 19–25 odd, 29–57 odd, 40, 42, 70–73,59, 61 63–65, 67, 69 78–86

Average 19–27 odd, 29–39 odd, 70–73, 78–86 59, 61 40–42, (optional:

43–57 odd, 74–77)63–65, 67, 69

Advanced 20–26 even, 28–38 even, 70–8260, 62 40–42, (optional:

44–58 even, 83–86)66–69

All Practice Quiz 1 (1–10)




ObjectivesDiscover the relationship between the number of sidesof a convex polygon and the total number of diagonalsthat can be drawn in the polygon.State/local objectives:

Getting StartedMaterials/Resources Needed ruler or geometry drawing software


NCTM Standards

1, 3, 9, 10

Recommended Pacing





TeachTeaching Algebra with Manipulatives, p. 213Glencoe Mathematics ClassroomManipulative KitTeaching Strategy, TWE, p. 19

AssessStudy Notebook, TWE, p. 19

Assignment Guide, p. 19, SEAll 1-13


Algebra Activity (p. 19)A Follow-Up of Lesson 1-2Teacher’s Name Dates


11





ObjectivesTranslate verbal expressions into algebraic expressionsand equations and vice versa.Solve equations using the properties of equality.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 21–23Teaching Algebra with Manipulatives,pp. 214–215Interactive Chalkboard CD-ROM, Lesson 1-3algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 8–9Daily Intervention, TWE, pp. 22, 24Study Guide and Intervention, CRM,pp. 13–14Reading to Learn Mathematics, CRM, p. 17TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 15Practice, CRM, p. 16Extra Practice, SE, p. 828Differentiated Instruction, TWE, p. 24School-to-Career Masters, p. 2Graphing Calculator and SpreadsheetMasters, p. 27Answer Key Transparencies, Lesson 1-3

4 AssessOpen-Ended Assessment, TWE, p. 27Enrichment, CRM, p. 18Assessment, Mid-Chapter Test, CRM, p. 53


1-31-3


NCTM Standards

1, 2, 4, 6, 8, 9

Recommended Pacing






Basic 19–23 odd, 35–51 odd, 28–38 even,27–33 odd 57, 59, 75–89

63–69 odd

Average 19–33 odd 35–69 odd 28, 75–89

Advanced 20–26 even, 36–70 even, 75–83 30–34 even 71–74 (optional:

84–89)



1-41-4


ObjectivesEvaluate expressions involving absolute values.Solve absolute value equations.State/local objectives:


Building on Prior Knowledge, TWE, p. 285-Minute Check Transparencies, Lesson 1-4Mathematical Background, TWE, p. 4DTeacherWorks CD-ROM

2 TeachIn-Class Examples, TWE, p. 29Interactive Chalkboard CD-ROM, Lesson 1-4algebra2.com/extra_examplesGuide to Daily Intervention, pp. 8–9Study Guide and Intervention, CRM,pp. 19–20Reading to Learn Mathematics, CRM, p. 23TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 21Practice, CRM, p. 22Extra Practice, SE, p. 829Differentiated Instruction, TWE, p. 29Graphing Calculator and SpreadsheetMasters, p. 28Answer Key Transparencies, Lesson 1-4Alge2PASS CD-ROM, Lesson 1




NCTM Standards

1, 2, 8, 9, 10

Recommended Pacing






Basic 17–25 odd 29–43 odd, 50–54, 59–7947, 49

Average 17–27 odd 29–49 odd 50–54, 59–79(optional:55–58)











ObjectivesSolve inequalitites.Solve real-world problems involving inequalities.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 34–36Interactive Chalkboard CD-ROM, Lesson 1-5algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 8–9Study Guide and Intervention, CRM,pp. 25–26Reading to Learn Mathematics, CRM, p. 29TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 27Practice, CRM, p. 28Extra Practice, SE, p. 829Differentiated Instruction, TWE, p. 35Answer Key Transparencies, Lesson 1-5Alge2PASS CD-ROM, Lesson 2Multimedia Applications CD-ROM



1-51-5


NCTM Standards

1, 2, 6, 8, 9

Recommended Pacing






Basic 15–35 odd, 39 41, 43, 47–49 52–55, 59–72

Average 15–39 odd 41–49 odd 48, 52–55,59–72(optional:56–58)

Advanced 16–40 even 42–50 even 49, 51–66(optional:67–72)




1-61-6


ObjectivesSolve compound inequalities.Solve absolute value inequalities.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 41–43Teaching Algebra with Manipulatives, p. 216Interactive Chalkboard CD-ROM, Lesson 1-6algebra2.com/extra_examplesGuide to Daily Intervention, pp. 8–9Daily Intervention, TWE, p. 44Study Guide and Intervention, CRM,pp. 31–32Reading to Learn Mathematics, CRM, p. 35TeacherWorks CD-ROM





NCTM Standards

1, 2, 6, 9, 10

Recommended Pacing






Basic 27–31 odd, 15–23 odd, 53–56, 61–7545–47 33–39 odd

Average 27–31 odd, 15–25 odd, 53–56, 61–7545–47, 49, 50 33–43 odd (optional:

57–60)

Advanced 28–32 even, 16–26 even, 53–7546, 49–52 34–44 even, 48







Recommended Pacing

Regular Average Days 8 & 9 of 9

Regular Advanced Days 1, 2, & 3 of 3

Block Average Day 4 & 4.5 of 4.5

Block Advanced Day 1 & 1.5 of 1.5

AssessVocabulary and Concept Check, SE, p. 47Vocabulary Test, CRM, p. 50Lesson-by-Lesson Review, SE, pp. 47–50Practice Test, SE, p. 51Chapter 1 Tests, CRM, pp. 37–48Open-Ended Assessment, CRM, p. 49Standardized Test Practice, SE, pp. 52–53Standardized Test Practice, CRM, pp. 55–56Cumulative Review, CRM, p. 54Vocabulary PuzzleMaker CD-ROMalgebra2.com/vocabulary_reviewalgebra2.com/chapter_testalgebra2.com/standardized_testMindJogger Videoquizzes VHS


11

Other Assessment Materials• TestCheck and Worksheet Builder CD-ROM

Review and Testing (pp. 47–53)







Basic 17–27 odd, 29–31 odd, 57, 58, 63–7335–37, 55 47–53 odd, 56

Average 17–27 odd, 29–33 odd, 57, 58, 63–73 35–41, 55 47–53 odd, (optional:

56 59–62)

Advanced 18–28 even, 30–34 even, 57–69 42–45, 55 46–54 even, 56 (optional:

70–73)


NCTM Standards

1, 2, 7, 9, 10

Recommended Pacing



Block Average Day 1 of 5






ObjectivesAnalyze and graph relations.Find functional values.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 57–59Interactive Chalkboard CD-ROM, Lesson 2-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 10–11Daily Intervention, TWE, pp. 58, 60Study Guide and Intervention, CRM,pp. 57–58Reading to Learn Mathematics, CRM, p. 61TeacherWorks CD-ROM


2-12-1






ObjectivesIdentify linear equations and functions.Write linear equations in standard form and graphthem.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 64–65Interactive Chalkboard CD-ROM, Lesson 2-2algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 10–11Study Guide and Intervention, CRM,pp. 63–64Reading to Learn Mathematics, CRM, p. 67TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 65Practice, CRM, p. 66Extra Practice, SE, p. 830Differentiated Instruction, TWE, p. 65Real-World Transparency and MasterAnswer Key Transparencies, Lesson 2-2Alge2PASS CD-ROM, Lesson 3



2-22-2


NCTM Standards

1, 2, 4, 6, 8, 9

Recommended Pacing






Basic 15–25 odd, 26 27–35 odd, 53–55, 61–7839–47 odd,51, 52

Average 15–25 odd, 26 26–51 odd, 52 53–55, 61–78




2-32-3


ObjectivesFind and use the slope of a line.Graph parallel and perpendicular lines.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 69–71Interactive Chalkboard CD-ROM, Lesson 2-3algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 10–11Daily Intervention, TWE, p. 71Study Guide and Intervention, CRM,pp. 69–70Reading to Learn Mathematics, CRM, p. 73TeacherWorks CD-ROM


4 AssessPractice Quiz 1, SE, p. 74Open-Ended Assessment, TWE, p. 74

Enrichment, CRM, p. 74algebra2.com/self_check_quiz


NCTM Standards

1, 2, 4, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–21 odd, 43–47 odd, 53–55, 58–7531–35 odd, 51, 5237–39

Average 15–35 odd, 43–51 odd, 52 53–55, 58–75 37–39 (optional:

56, 57)

Advanced 16–36 even, 44–52 even 53–69 40–42 (optional:

70–75)











ObjectivesWrite an equation of a line given the slope and a pointon the line.Write an equation of a line parallel or perpendicular toa given line.State/local objectives:







2-42-4


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13, 15, 35 39, 41–43, 45,19–33 odd 49–54, 57–67

Average 13–33 odd 35, 37 39, 41–43,45–54, 57–67(optional:55, 56)

Advanced 14–34 even 36, 38 40, 44, 46–63(optional:64–67)



2-52-5


ObjectivesDraw scatter plots.Find and use prediction equations.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 82–83Teaching Algebra with Manipulatives, p. 218Interactive Chalkboard CD-ROM, Lesson 2-5algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 10–11Daily Intervention, TWE, p. 82Study Guide and Intervention, CRM,pp. 81–82Reading to Learn Mathematics, CRM, p. 85TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 83Practice, CRM, p. 84Extra Practice, SE, p. 831Differentiated Instruction, TWE, p. 82School-to-Career Masters, p. 4Science and Mathematics Lab Manual,pp. 99–104Answer Key Transparencies, Lesson 2-5WebQuest and Projects Resources, p. 20Multimedia Applications CD-ROM




NCTM Standards

1, 2, 5, 6, 8, 9, 10

Recommended Pacing






Basic 7a 7b, 7c, 10–12, 22–24, 31–4219–21

Average 7a, 9a, 15 7b, 7c, 9b, 9c, 22–24, 31–42 10–12, 16–21 (optional:

25–30)

Advanced 6a, 8a, 15 6b, 6c, 8b, 8c, 22–37 13, 14, 16–21 (optional:

38–42)







ObjectivesInvestigate lines of regression.State/local objectives:

Getting StartedMaterials/Resources Needed


NCTM Standards

1, 2, 4, 5, 6, 9, 10

Recommended Pacing





Teachalgebra2.com/other_calculator_keystrokes

Assess

Assignment Guide, pp. 87–88, SEAll 1–15


Graphing Calculator Investigation (pp. 87–88)A Follow-Up of Lesson 2-5Teacher’s Name Dates


22

2-62-6


ObjectivesIdentify and graph step, constant, and identityfunctions.Identify and graph absolute value and piecewisefunctions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 90–92Teaching Algebra with Manipulatives, p. 219Interactive Chalkboard CD-ROM, Lesson 2-6algebra2.com/extra_examplesGuide to Daily Intervention, pp. 10–11Study Guide and Intervention, CRM,pp. 87–88Reading to Learn Mathematics, CRM, p. 91TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 89Practice, CRM, p. 90Extra Practice, SE, p. 831Differentiated Instruction, TWE, p. 92Graphing Calculator and SpreadsheetMasters, p. 29Answer Key Transparencies, Lesson 2-6WebQuest and Projects Resources, p. 20




NCTM Standards

1, 2, 5, 6, 8, 9, 10

Recommended Pacing






Basic 25–29 odd 31–41 odd 15–21 odd,22, 23, 49–65

Average 25–29 odd 31–41 odd 15–21 odd, 22,23, 43, 49–65

Advanced 24–28 even 30–40 even 16–20 even,22, 23, 42,44–59(optional:60–65)











ObjectivesGraph linear inequalities.Graph absolute value inequalities.State/local objectives:


5-Minute Check Transparencies, Lesson 2-7Mathematical Background, TWE, p. 54DTeacherWorks CD-ROM


3 Practice/ApplySkills Practice, CRM, p. 95Practice, CRM, p. 96Extra Practice, SE, p. 832Differentiated Instruction, TWE, p. 97Answer Key Transparencies, Lesson 2-7Alge2PASS CD-ROM, Lesson 4



2-72-7


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–23 odd, 25, 27 31, 40–43,33, 34 48–56

Average 13–23 odd, 25–29 odd 31, 40–43,33–37 48–56

(optional:44–47)

Advanced 14–24 even, 26–30 even 32, 40–5638, 39




Recommended Pacing




Block Advanced Day 1 of 1



22









ObjectivesSolve systems of linear equations by graphing.Determine whether a system of linear equations isconsistent and independent, consistent and dependent,or inconsistent.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 121Practice, CRM, p. 122Extra Practice, SE, p. 832Differentiated Instruction, TWE, p. 111Graphing Calculator and SpreadsheetMasters, p. 32Answer Key Transparencies, Lesson 3-1Multimedia Applications CD-ROM



3-13-1


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–21 odd, 25–35 odd, 48 49–51, 58–7937, 39–41

Average 13–23 odd, 25–35 odd, 48 49–51, 58–79 37, 39–44 (optional:

52–57)

Advanced 14–34 even, 26–36 even, 48 49–7338–47 (optional:

74–79)



3-23-2


ObjectivesSolve systems of linear equations by using substitution.Solve systems of linear equations by using elimination.State/local objectives:


5-Minute Check Transparencies, Lesson 3-2Mathematical Background, TWE, p. 108CTeacherWorks CD-ROM


3 Practice/ApplySkills Practice, CRM, p. 127Practice, CRM, p. 128Extra Practice, SE, p. 832Differentiated Instruction, TWE, p. 119School-to-Career Masters, p. 5Science and Mathematics Lab Manual,pp. 65–68Answer Key Transparencies, Lesson 3-2Alge2PASS CD-ROM, Lesson 5WebQuest and Projects Resources, p. 21algebra2.com/webquest




NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 13–17 odd, 19–33 odd 37, 39–41,25–33 odd 43, 44, 48–70

Average 13–17 odd, 19–35 odd 37, 41, 43–7025–35 odd

Advanced 14–18 even, 20–36 even 38, 42–66 26–36 even (optional:

67–70)











ObjectivesSolve systems of inequalities by graphing.Determine the coordinates of the vertices of a regionformed by the graph of a system of inequalities.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 123–125Teaching Algebra with Manipulatives,pp. 223–224Interactive Chalkboard CD-ROM, Lesson 3-3algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 12–13Study Guide and Intervention, CRM,pp. 131–132Reading to Learn Mathematics, CRM, p. 135TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 133Practice, CRM, p. 134Extra Practice, SE, p. 833Differentiated Instruction, TWE, p. 125School-to-Career Masters, p. 6Answer Key Transparencies, Lesson 3-3



3-33-3


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–23 odd, 25, 27 38–5433, 34

Average 13–23 odd, 25–29 odd 31, 38–5433, 34

Advanced 12–22 even, 24–28 even 30, 32, 38–48 33–37 (optional:

49–54)




ObjectivesInvestigate systems of linear inequalities.State/local objectives:



NCTM Standards

1, 2

Recommended Pacing






Assess

Assignment Guide, p. 128, SEAll 1–8


Graphing Calculator Investigation (p. 128)A Follow-Up of Lesson 3-3Teacher’s Name Dates


33





ObjectivesFind the maximum and minimum values of a functionover a region.Solve real-world problems using linear programming.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 139Practice, CRM, p. 140Extra Practice, SE, p. 833Differentiated Instruction, TWE, p. 131Graphing Calculator and SpreadsheetMasters, p. 31Real-World Transparency and MasterAnswer Key Transparencies, Lesson 3-4WebQuest and Projects Resources, p. 21



3-43-4


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 15–27 odd, 30 31–37 43–62

Average 15–29 odd, 30 31–41 43–62

Advanced 16–30 even 31–42 43–56(optional:57–62)





ObjectivesDiscover how to graph equations in three variables.State/local objectives:

Getting StartedMaterials/Resources Needed isometric dot paper, ruler


NCTM Standards

1, 2, 10

Recommended Pacing


Regular Advanced Day 1 of 5



TeachTeaching Algebra with Manipulatives,pp. 19, 225Glencoe Mathematics ClassroomManipulative KitTeaching Strategy, TWE, p. 136




Algebra Activity (pp. 136–137)A Preview of Lesson 3-5Teacher’s Name Dates


33





ObjectivesSolve systems of linear equations in three variables.Solve real-world problems using systems of linearequations in three variables.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 139–141Teaching Algebra with Manipulatives,pp. 226–227Interactive Chalkboard CD-ROM, Lesson 3-5algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 12–13Daily Intervention, TWE, pp. 140, 142Study Guide and Intervention, CRM,pp. 143–144Reading to Learn Mathematics, CRM, p. 147TeacherWorks CD-ROM




3-53-5


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 13–19 odd, 25 27, 28 31–44

Average 13–25 odd 27–30 31–44

Advanced 12–24 even 26–30 31–44




Recommended Pacing







33









ObjectivesOrganize data in matrices.Solve equations involving matrices.State/local objectives:



2 TeachIn-Class Examples, TWE, p. 155Teaching Algebra with Manipulatives,pp. 229–230Interactive Chalkboard CD-ROM, Lesson 4-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 14–15Study Guide and Intervention, CRM,pp. 169–170Reading to Learn Mathematics, CRM, p. 173TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 171Practice, CRM, p. 172Extra Practice, SE, p. 834Differentiated Instruction, TWE, p. 155Real-World Transparency and MasterAnswer Key Transparencies, Lesson 4-1WebQuest and Projects Resources, p. 28



4-14-1


NCTM Standards

1, 2, 5, 8, 9, 10

Recommended Pacing






Basic 11–15 odd, 17–23 odd 34–5726, 27, 32, 33

Average 11–15 odd, 17–25 odd 34–5726–29, 31–33


50–57)




ObjectivesInvestigate organizing data.State/local objectives:



NCTM Standards

1, 5, 10

Recommended Pacing





Teach

Assess



Spreadsheet Investigation (p. 159)A Follow-Up of Lesson 4-1Teacher’s Name Dates


44





ObjectivesAdd and subtract matrices.Multiply by a matrix scalar.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 161–163Interactive Chalkboard CD-ROM, Lesson 4-2algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 14–15Daily Intervention, TWE, p. 161Study Guide and Intervention, CRM,pp. 175–176Reading to Learn Mathematics, CRM, p. 179TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 177Practice, CRM, p. 178Extra Practice, SE, p. 834Differentiated Instruction, TWE, p. 162Answer Key Transparencies, Lesson 4-2Alge2PASS CD-ROM, Lesson 6WebQuest and Projects Resources, p. 28



4-24-2


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 15, 25 17, 19, 27, 29 30–35, 40–62

Average 15, 25 17–23 odd, 30–35, 40–6227, 29

Advanced 14, 16, 20, 24, 18, 22, 26, 28 33–35, 40–58 36–39 (optional:

59–62)



4-34-3


ObjectivesMultiply matrices.Use the properties of matrix multiplication.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 183Practice, CRM, p. 184Extra Practice, SE, p. 834Differentiated Instruction, TWE, p. 170 Answer Key Transparencies, Lesson 4-3




NCTM Standards

1, 2, 3, 6, 8, 9, 10

Recommended Pacing


Regular Advanced Days 4 & 5 of 17

Block Average Days 2 & 3 of 8



Basic 13–25 odd, 27, 29, 35 43–6031–34, 36–39

Average 13–25 odd, 27, 29, 35 43–6031–34, 36–39

Advanced 14–26 even, 28, 30, 35 43–56 32, 36–42 (optional:

57–60)











ObjectivesUse matrices to determine the coordinates of atranslated or dilated figure.Use matrix multiplication to find coordinates of areflected or rotated figure.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 189Practice, CRM, p. 190Extra Practice, SE, p. 835Differentiated Instruction, TWE, p. 177Graphing Calculator and SpreadsheetMasters, p. 33Answer Key Transparencies, Lesson 4-4



4-44-4


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 12–17, 33–36 18–23, 26–28 42–64

Average 12–17, 35, 36 18–23, 25–32, 42–6437

Advanced 12–17, 24 18–23, 26–32 38–58(optional:59–64)



4-54-5


ObjectivesEvaluate the determinant of a 2 � 2 matrix.Evaluate the determinant of a 3 � 3 matrix.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 183–185Interactive Chalkboard CD-ROM, Lesson 4-5algebra2.com/extra_examplesGuide to Daily Intervention, pp. 14–15Daily Intervention, TWE, p. 183Study Guide and Intervention, CRM,pp. 193–194Reading to Learn Mathematics, CRM, p. 197TeacherWorks CD-ROM





NCTM Standards

1, 2, 4, 6, 7, 8, 9

Recommended Pacing






Basic 15–23 odd 27–35 odd, 45 46–49, 56–75

Average 15–25 odd, 39 27–37 odd, 46–49, 56–75 41–45 odd (optional:

50–55)

Advanced 16–26 even 28–38 even, 46–69 40–44 even, 45 (optional:

70–75)










ObjectivesSolve systems of two linear equations by usingCramer’s Rule.Solve systems of three linear equations by usingCramer’s Rule.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 190–191Interactive Chalkboard CD-ROM, Lesson 4-6algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 14–15Study Guide and Intervention, CRM,pp. 199–200Reading to Learn Mathematics, CRM, p. 203TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 201Practice, CRM, p. 202Extra Practice, SE, p. 835Differentiated Instruction, TWE, p. 191Answer Key Transparencies, Lesson 4-6Alge2PASS CD-ROM, Lesson 7algebra2.com/webquestMultimedia Applications CD-ROM



4-64-6


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–19 odd, 27, 29 38–5425, 32, 33

Average 13–25 odd, 27–31 odd 38–5432–35

Advanced 12–24 even, 26–30 even, 38–51 34, 35 36, 37 (optional:

52–54)




4-74-7


ObjectivesDetermine whether two matrices are inverses.Find the inverse of a 2 � 2 matrix.State/local objectives:








NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 11, 13, 17, 33 19–29 odd 43–46, 53–77

Average 11–17 odd, 33 19–31 odd, 43–46, 53–77 34–38 (optional:

47–52)

Advanced 10–16 even, 32 18–30 even, 42–71 34–41 (optional:

72–77)










ObjectivesWrite matrix equations for systems of equations.Solve systems of equations using matrix equations.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 213Practice, CRM, p. 214Extra Practice, SE, p. 836Differentiated Instruction, TWE, p. 204School-to-Career Masters, p. 8Answer Key Transparencies, Lesson 4-8algebra2.com/webquest



4-84-8


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 13–19 odd 21–33 odd 35–38, 42–51


Advanced 12–18 even 20–34 even 35–51




ObjectivesInvestigate augmented matrices.State/local objectives:



NCTM Standards

1, 2, 10

Recommended Pacing






Assess





44


Recommended Pacing





AssessVocabulary and Concept Check, SE, p. 209Vocabulary Test, CRM, p. 230Lesson-by-Lesson Review, SE, pp. 209–214Practice Test, SE, p. 215Chapter 4 Tests, CRM, pp. 217–228Open-Ended Assessment, CRM, p. 229Standardized Test Practice, SE, pp. 216–217Standardized Test Practice, CRM, pp. 235–236Cumulative Review, CRM, p. 234Vocabulary PuzzleMaker CD-ROMalgebra2.com/vocabulary_reviewalgebra2.com/chapter_testalgebra2.com/standardized_testMindJogger Videoquizzes VHSUnit 1 Test, CRM, pp. 237–238


44









Basic 19–39 odd 45–59 odd 60–84

Average 19–43 odd 45–59 odd 60–84



NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing









ObjectivesMultiply and divide monomials.Use expressions written in scientific notation.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 222–225Interactive Chalkboard CD-ROM, Lesson 5-1algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 16–17Daily Intervention, TWE, pp. 223, 226Study Guide and Intervention, CRM,pp. 239–240Reading to Learn Mathematics, CRM, p. 243TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 241Practice, CRM, p. 242Extra Practice, SE, p. 836Differentiated Instruction, TWE, p. 225Science and Mathematics Lab Manual,pp. 111–116Answer Key Transparencies, Lesson 5-1algebra2.com/webquest

5-15-1






ObjectivesAdd and subtract polynomials.Multiply polynomials.State/local objectives:







5-25-2


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 17–27 odd 29–33 odd, 35, 36, 51,37–45 odd 53–69

Average 17–27 odd 29–33 odd, 35, 36, 51,37–49 odd 53–69

Advanced 16–26 even 28–32 even, 34–36, 52,38–50 even 54–65

(optional:66–69)



5-35-3


ObjectivesDivide polynomials using long division.Divide polynomials using synthetic division.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 233–235Interactive Chalkboard CD-ROM, Lesson 5-3algebra2.com/extra_examplesGuide to Daily Intervention, pp. 16–17Daily Intervention, TWE, pp. 235, 236Study Guide and Intervention, CRM,pp. 251–252Reading to Learn Mathematics, CRM, p. 255TeacherWorks CD-ROM





NCTM Standards

1, 2, 6, 7, 8, 9

Recommended Pacing






Basic 15–19 odd 21–43 odd, 49 51, 53, 54,58–74

Average 15–19 odd, 21–43 odd, 49 51, 53, 54,45, 47 58–74

Advanced 16–20 even, 22–44 even, 50 52, 55–68 46, 48 (optional:

69–74)











ObjectivesFactor polynomials.Simplify polynomial quotients by factoring.State/local objectives:







5-45-4


NCTM Standards

1, 2, 3, 6, 8, 9, 10

Recommended Pacing




Block Advanced Days 2 & 3 of 8


Basic 15–37 odd, 47, 49 55–58, 63–8143, 45





5-55-5


ObjectivesSimplify radicals.Use a calculator to approximate radicals.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 246–247Teaching Algebra with Manipulatives,pp. 236–237Interactive Chalkboard CD-ROM, Lesson 5-5algebra2.com/extra_examplesGuide to Daily Intervention, pp. 16–17Daily Intervention, TWE, p. 246Study Guide and Intervention, CRM,pp. 263–264Reading to Learn Mathematics, CRM, p. 267TeacherWorks CD-ROM





NCTM Standards

1, 2, 6, 7, 8, 9

Recommended Pacing






Basic 29–53 odd, 59 17–27 odd 61, 63–82

Average 29–59 odd 17–27 odd 61, 63–82











ObjectivesSimplify radical expressions.Add, subtract, multiply, and divide radical expressions.State/local objectives:


Building on Prior Knowledge, TWE, p. 2505-Minute Check Transparencies, Lesson 5-6Mathematical Background, TWE, p. 220TeacherWorks CD-ROM


3 Practice/ApplySkills Practice, CRM, p. 271Practice, CRM, p. 272Extra Practice, SE, p. 838Differentiated Instruction, TWE, p. 251Real-World Transparency and MasterAnswer Key Transparencies, Lesson 5-6



5-65-6


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–29 odd 31–45 odd 49–51, 55–82

Average 15–29 odd 31–47 odd 49–53, 55–82





5-75-7


ObjectivesWrite expressions with rational exponents in radicalform, and vice versa.Simplify expressions in exponential or radical form.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 258–260Interactive Chalkboard CD-ROM, Lesson 5-7algebra2.com/extra_examplesGuide to Daily Intervention, pp. 16–17Daily Intervention, TWE, p. 258Study Guide and Intervention, CRM,pp. 275–276Reading to Learn Mathematics, CRM, p. 279TeacherWorks CD-ROM





NCTM Standards

1, 2, 6, 8, 9

Recommended Pacing






Basic 21–39 odd 41–61 odd 65, 69–84

Average 21–39 odd 41–63 odd 65, 69–84

Advanced 22–40 even 42–64 even 66–68, 70–80(optional:81–84)










ObjectivesSolve equations containing radicals.Solve inequalities containing radicals.State/local objectives:







5-85-8


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–23 odd, 25, 27 43–5937–41 odd

Average 13–23 odd, 25, 27, 33, 35 43–5929, 31,37–41 odd

Advanced 14–24 even, 26, 28, 34, 36 43–53 30, 32, (optional:38–42 even 54–59)




ObjectivesInvestigate solving radical equations and inequalities by graphing.State/local objectives:



NCTM Standards

1, 2, 10

Recommended Pacing






Assess





55





ObjectivesAdd and subtract complex numbers.Multiply and divide complex numbers.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 270–273Teaching Algebra with Manipulatives,pp. 239–240Interactive Chalkboard CD-ROM, Lesson 5-9algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 16–17Study Guide and Intervention, CRM,pp. 287–288Reading to Learn Mathematics, CRM, p. 291TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 289Practice, CRM, p. 290Extra Practice, SE, p. 839Differentiated Instruction, TWE, p. 271School-to-Career Masters, p. 10Answer Key Transparencies, Lesson 5-9Multimedia Applications CD-ROM



5-95-9


NCTM Standards

1, 2, 3, 6, 7, 8, 9, 10

Recommended Pacing






Basic 19–33 odd, 35–41 odd 63, 65–68,47–59 odd 71–85

Average 19–33 odd, 35–45 odd 63, 65–68,47–61 odd 71–85

(optional:69, 70)

Advanced 18–32 even, 34–44 even 62, 64–8546–60 even




Recommended Pacing







55






ObjectivesGraph quadratic functions.Find and interpret the maximum and minimum values of a quadratic function.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 287–289Teaching Algebra with Manipulatives, p. 243Interactive Chalkboard CD-ROM,Lesson 6-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 18–19Daily Intervention, TWE, p. 288Study Guide and Intervention, CRM,pp. 313–314Reading to Learn Mathematics, CRM, p. 317TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 315Practice, CRM, p. 316Extra Practice, SE, p. 839Differentiated Instruction, TWE, p. 289Answer Key Transparencies, Lesson 6-1Alge2PASS CD-ROM, Lesson 10WebQuest and Projects Resources, p. 36Multimedia Applications CD-ROM



6-16-1


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 15–27 odd, 33–43 odd, 54–57, 64–7844 45–47

Average 15–31 odd 33–43 odd, 54–57, 64–7846–50, 53 (optional:

58–63)

Advanced 14–30 even 32–42 even 54–7446–53 (optional:

75–78)








6-26-2


ObjectivesSolve quadratic equations by graphing.Estimate solutions of quadratic equations by graphing.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 295–296Interactive Chalkboard CD-ROM,Lesson 6-2algebra2.com/extra_examplesGuide to Daily Intervention, pp. 18–19Daily Intervention, TWE, p. 295Study Guide and Intervention, CRM,pp. 319–320Reading to Learn Mathematics, CRM, p. 323TeacherWorks CD-ROM





NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 15–21 odd, 23, 33, 35, 47–50, 57–7225–31 odd, 43, 4537–41 odd

Average 15–21 odd, 23, 33, 35, 47–50, 57–7225–31 odd, 43, 45 (optional:37–41 odd 51–56)

Advanced 14–20 even, 22, 32, 34, 47–6624–30 even, 42–46 even (optional:36–40 even 67–72)







ObjectivesInvestigate modeling real-world data.State/local objectives:



NCTM Standards

2, 5, 6, 8, 10

Recommended Pacing






Assess





Graphing Calculator Investigation (p. 300)A Follow-Up of Lesson 6-2

66

6-36-3


ObjectivesSolve quadratic equations by factoring.Write a quadratic equation with given roots.State/local objectives:



2 TeachIn-Class Examples, TWE, p. 302Interactive Chalkboard CD-ROM,Lesson 6-3algebra2.com/extra_examplesGuide to Daily Intervention, pp. 18–19Daily Intervention, TWE, p. 303Study Guide and Intervention, CRM,pp. 325–326Reading to Learn Mathematics, CRM, p. 329TeacherWorks CD-ROM





NCTM Standards

1, 2, 3, 6, 7, 8, 9

Recommended Pacing






Basic 15–31 odd, 43 35–41 odd 47–68

Average 15–31 odd, 43 35–41 odd 33, 47–68

Advanced 14–32 even, 34–40 even 45, 47–6242–46 even (optional:

63–68)








ObjectivesSolve quadratic equations by using the Square Root Property.Solve quadratic equations by completing the square.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 307–309Teaching Algebra with Manipulatives,pp. 244–246Interactive Chalkboard CD-ROM,Lesson 6-4algebra2.com/extra_examplesGuide to Daily Intervention, pp. 18–19Daily Intervention, TWE, p. 310Study Guide and Intervention, CRM,pp. 331–332Reading to Learn Mathematics, CRM, p. 335TeacherWorks CD-ROM




6-46-4


NCTM Standards

1, 2, 3, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–19 odd, 23 25–47 odd 52, 54–72

Average 15–23 odd 25–47 odd, 53 52, 54–72

Advanced 14–22 even 24–50 even 49, 51, 52,54–68(optional:69–72)






6-56-5


ObjectivesSolve quadratic equations by using the Quadratic Formula.Use the discriminant to determine the number and types of roots of a quadratic equation.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 314–316Interactive Chalkboard CD-ROM,Lesson 6-5algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 18–19Study Guide and Intervention, CRM,pp. 337–338Reading to Learn Mathematics, CRM, p. 341TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 339Practice, CRM, p. 340Extra Practice, SE, p. 841Differentiated Instruction, TWE, p. 316Graphing Calculator and SpreadsheetMasters, p. 38Answer Key Transparencies, Lesson 6-5Alge2PASS CD-ROM, Lessons 11 & 12




NCTM Standards

1, 2, 6, 8, 9

Recommended Pacing






Basic 15–25 odd, 15–25 odd, 45–6629–39 odd 40, 41

Average 15–39 odd, 15–27 odd, 45–6642, 43 40, 41

Advanced 14–38 even, 14–26 even 45–6042–44 (optional:

61–66)






Graphing Calculator Investigation (pp. 320–321)A Preview of Lesson 6-6Teacher’s Name Dates



ObjectivesInvestigate families of parabolas.State/local objectives:



NCTM Standards

2, 8, 10

Recommended Pacing






Assess



66

6-66-6


ObjectivesAnalyze quadratic functions of the form y = a(x – h)2 + k.Write a quadratic function in the form y = a(x – h)2 + k.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 345Practice, CRM, p. 346Extra Practice, SE, p. 841Differentiated Instruction, TWE, p. 324Answer Key Transparencies, Lesson 6-6WebQuest and Projects Resources, p. 36algebra2.com/webquest




NCTM Standards

2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15, 27, 29 19–25 odd, 17, 53–7131, 33,39–45 odd

Average 15, 27, 29, 19–25 odd, 17, 53–7137, 47 31–35 odd,

39–45 odd,48–50

Advanced 16, 28, 30, 38 20–26 even, 18, 51–6732–36 even, (optional:40–46 even, 68–71)48, 50







ObjectivesGraph quadratic inequalities in two variables.Solve quadratic inequalities in one variable.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 330–332Interactive Chalkboard CD-ROM,Lesson 6-7algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 18–19Study Guide and Intervention, CRM,pp. 349–350Reading to Learn Mathematics, CRM, p. 353TeacherWorks CD-ROM




6-76-7


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 15–25 odd 27–41 odd, 49–52,45 59–71

Average 15–25 odd 27–45 odd 49–52,59–71(optional:53–58)

Advanced 14–24 even 26–48 even 47, 49–71







Recommended Pacing







66






ObjectivesEvaluate polynomial functions.Identify general shapes of graphs of polynomial functions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 347–349Interactive Chalkboard CD-ROM,Lesson 7-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 20–21Study Guide and Intervention, CRM,pp. 375–376Reading to Learn Mathematics, CRM, p. 379TeacherWorks CD-ROM




7-17-1


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 17–37 odd 39–43 odd 45, 49–52,56–70

Average 17–37 odd 39–43 odd 45–52,56–70







7-27-2


ObjectivesGraph polynomial functions and locate their real zeros.Find the maxima and minima of polynomial functions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 354–355Interactive Chalkboard CD-ROM,Lesson 7-2algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 20–21Daily Intervention, TWE, p. 354Study Guide and Intervention, CRM,pp. 381–382Reading to Learn Mathematics, CRM, p. 385TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 383Practice, CRM, p. 384Extra Practice, SE, p. 842Differentiated Instruction, TWE, p. 356Science and Mathematics Lab Manual,pp. 73–78Answer Key Transparencies, Lesson 7-2WebQuest and Projects Resources, p. 44




NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–25 odd 13–25 odd 27–32,36–42,47–66

Average 13–25 odd 13–25 odd 27–42,47–66(optional:43–46)

Advanced 14–26 even 14–26 even 27–60 (optional:61–66)







ObjectivesInvestigate modeling real-world data.State/local objectives:



NCTM Standards

2, 5, 6, 9, 10

Recommended Pacing






Assess





77

7-37-3


ObjectivesWrite expressions in quadratic form.Use quadratic techniques to solve equations.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 361–362Interactive Chalkboard CD-ROM,Lesson 7-3algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 20–21Daily Intervention, TWE, p. 361Study Guide and Intervention, CRM,pp. 387–388Reading to Learn Mathematics, CRM, p. 391TeacherWorks CD-ROM





NCTM Standards

1, 2, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 11–15 odd 17–27 odd 32–34,37–52

Average 11–15 odd 17–29 odd 31–34,37–52









ObjectivesEvaluate functions using synthetic substitution.Determine whether a binomial is a factor of a polynomial by using synthetic substitution.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 366–367Teaching Algebra with Manipulatives, p. 252Interactive Chalkboard CD-ROM,Lesson 7-4algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 20–21Study Guide and Intervention, CRM,pp. 393–394Reading to Learn Mathematics, CRM, p. 397TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 395Practice, CRM, p. 396Extra Practice, SE, p. 843Differentiated Instruction, TWE, p. 367Answer Key Transparencies, Lesson 7-4algebra2.com/webquest



7-47-4


NCTM Standards

1, 2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 13–19 odd 21–29 odd 31, 37, 38,41, 46–62

Average 13–19 odd 21–29 odd 31–35 odd,37–41,46–62

Advanced 14–20 even 22–30 even 32–36 even,39–59 (optional:60–62)






7-57-5


ObjectivesDetermine the number and types of roots for a polynomial equation.Find the zeros of a polynomial function.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 401Practice, CRM, p. 402Extra Practice, SE, p. 843Differentiated Instruction, TWE, p. 373Answer Key Transparencies, Lesson 7-5Alge2PASS CD-ROM, Lesson 14Multimedia Applications CD-ROM




NCTM Standards

1, 2, 3, 4, 6, 7, 8, 9, 10

Recommended Pacing






Basic 13–23 odd 25–29 odd 31–41 odd,49–70

Average 13–23 odd 25–29 odd 31–41 odd,42–45,49–70








ObjectivesIdentify the possible rational zeros of a polynomial equation.Find all the rational zeros of a polynomial function.State/local objectives:







7-67-6


NCTM Standards

1, 2, 3, 4, 6, 7, 8, 9

Recommended Pacing






Basic 13–17 odd 19–33 odd 37, 38, 42–61

Average 13–17 odd 19–33 odd 34–38, 42–61

Advanced 12–16 even 18–32 even 34–36, 39–55 (optional:56–61)







7-77-7


ObjectivesFind the sum, difference, product, and quotient of functions.Find the composition of functions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 383–386Teaching Algebra with Manipulatives,pp. 253–255Interactive Chalkboard CD-ROM,Lesson 7-7algebra2.com/extra_examplesGuide to Daily Intervention, pp. 20–21Daily Intervention, TWE, p. 386Study Guide and Intervention, CRM,pp. 411–412Reading to Learn Mathematics, CRM,p. 415TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 413Practice, CRM, p. 414Extra Practice, SE, p. 844Differentiated Instruction, TWE, p. 385School-to-Career Masters, p. 13Graphing Calculator and SpreadsheetMasters, p. 40Real-World Transparency and MasterAnswer Key Transparencies, Lesson 7-7




NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 17–21 odd 23–45 odd 47, 48, 56–81

Average 17–21 odd 23–45 odd 47, 48, 55–81

Advanced 18–22 even 24–46 even 49 (optional:76–81)







ObjectivesFind the inverse of a function or relation.Determine whether two function or relations are inverses.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 391–392Teaching Algebra with Manipulatives,pp. 256–258Interactive Chalkboard CD-ROM,Lesson 7-8algebra2.com/extra_examplesGuide to Daily Intervention, pp. 20–21Study Guide and Intervention, CRM,pp. 417–418Reading to Learn Mathematics, CRM, p. 421TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 419Practice, CRM, p. 420Extra Practice, SE, p. 844Differentiated Instruction, TWE, p. 391School-to-Career Masters, p. 14Answer Key Transparencies, Lesson 7-8WebQuest and Projects Resources, p. 44



7-87-8


NCTM Standards

1, 2, 3, 4, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–31 odd 33–37 odd 41, 44–61

Average 15–31 odd 33–37 odd 41–61

Advanced 14–30 even 32–36 even 38–40, 42–55 (optional:56–61)






7-97-9


ObjectivesGraph and analyze square root functions.Graph square root inequalities.State/local objectives:








NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–25 odd 27–31 odd 33–49

Average 15–25 odd 27–31 odd 33–49

Advanced 14–24 even 26–30 even 32–34, 36–49







Recommended Pacing





AssessVocabulary and Concept Check, SE, p. 400Vocabulary Test, CRM, p. 442Lesson-by-Lesson Review, SE, pp. 400–404Practice Test, SE, p. 405Chapter 7 Tests, CRM, pp. 429–440Open-Ended Assessment, CRM, p. 441Standardized Test Practice, SE, pp. 406–407Standardized Test Practice, CRM, pp. 447–448Cumulative Review, CRM, p. 446Vocabulary PuzzleMaker CD-ROMalgebra2.com/vocabulary_reviewalgebra2.com/chapter_testalgebra2.com/standardized_testMindJogger Videoquizzes VHSUnit 2 Test, CRM, pp. 449–4501st Semester Test, CRM, pp. 451–454


77





8-18-1


ObjectivesFind the midpoint of a segment on the coordinate plane.Find the distance between two points on the coordinate plane.State/local objectives:



2 TeachIn-Class Examples, TWE, p. 413Interactive Chalkboard CD-ROM,Lesson 8-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 22–23Study Guide and Intervention, CRM,pp. 455–456Reading to Learn Mathematics, CRM, p. 459TeacherWorks CD-ROM





NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 11, 13, 21–23 25–31 odd, 41–44, 47–5935, 38, 39

Average 11–23 odd 25–39 odd 22, 38, 41–44,47–59 (optional:45, 46)

Advanced 10–20 even 24–40 even 39, 41–53 (optional:54–59)







ObjectivesDerive a formula for finding the distance between twopoints in three-dimensional space.State/local objectives:



NCTM Standards

3, 6, 8, 10

Recommended Pacing





TeachTeaching Algebra with Manipulatives, p. 263Glencoe Mathematics Classroom Manipulative KitTeaching Strategy, TWE, p. 417




Algebra Activity (pp. 417–418)A Follow-Up of Lesson 8-1Teacher’s Name Dates


88

8-28-2


ObjectivesWrite equations of parabolas in standard form.Graph parabolas.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 463Practice, CRM, p. 464Extra Practice, SE, p. 845Differentiated Instruction, TWE, p. 422School-to-Career Masters, p. 15Science and Mathematics Lab Manual,pp. 121–124Graphing Calculator and SpreadsheetMasters, p. 42Answer Key Transparencies, Lesson 8-2WebQuest and Projects Resources, p. 37




NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 13, 35 17–27 odd, 46–6231, 33,37–45 odd

Average 13, 15, 35 17–33 odd, 46–6237–45 odd

Advanced 12, 14 16–44 even 35, 46–54 (optional:55–62)







ObjectivesWrite equations of circles.Graph circles.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 469Practice, CRM, p. 470Extra Practice, SE, p. 845Differentiated Instruction, TWE, p. 428Graphing Calculator and SpreadsheetMasters, p. 41Answer Key Transparencies, Lesson 8-3Alge2PASS CD-ROM, Lesson 15algebra2.com/webquest



8-38-3


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 17–25 odd, 31–45 odd 49–52,29 57–71

Average 17–29 odd 31–47 odd 49–52,57–71 (optional:53–56)









ObjectivesDerive an understanding of an ellipse as the set ofpoints for which the sum of the distances from two fixedpoints is constant.State/local objectives:

Getting StartedMaterials/Resources Needed two thumbtacks, string, grid paper, cardboard, pencil, ruler


NCTM Standards

3, 4, 7, 8

Recommended Pacing





TeachTeaching Algebra with Manipulatives,pp. 1, 24, 266Glencoe Mathematics Classroom Manipulative KitTeaching Strategy, TWE, p. 432




Algebra Activity (p. 432)A Preview of Lesson 8-4Teacher’s Name Dates


88


ObjectivesWrite equations of ellipses.Graph ellipses.State/local objectives:







8-48-4


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 13–23 odd 25–31 odd, 39–42,37 44–57

Average 13–23 odd 25–37 odd 39–42,44–57 (optional: 43)







8-58-5


ObjectivesWrite equations of hyperbolas.Graph hyperbolas.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 442–444Interactive Chalkboard CD-ROM,Lesson 8-5algebra2.com/extra_examplesalgebra2.com/careersalgebra2.com/usa_todayGuide to Daily Intervention, pp. 22–23Daily Intervention, TWE, p. 442Study Guide and Intervention, CRM,pp. 479–480Reading to Learn Mathematics, CRM, p. 483TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 481Practice, CRM, p. 482Extra Practice, SE, p. 846Differentiated Instruction, TWE, p. 443Real-World Transparency and MasterAnswer Key Transparencies, Lesson 8-5Alge2PASS CD-ROM, Lesson 16




NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 11–19 odd, 21–31 odd, 40–42,35 36–38 47–49

Average 11–19 odd, 21–33 odd, 39–42,35 36–38 47–49

(optional:43–46)

Advanced 12–20 even, 22–34 even, 39–46 35 36, 38 (optional:

47–49)








ObjectivesWrite equations of conic sections in standard form.Identify conic sections from their equations.State/local objectives:



2 TeachIn-Class Examples, TWE, p. 450Teaching Algebra with Manipulatives,pp. 268–269Interactive Chalkboard CD-ROM,Lesson 8-6algebra2.com/extra_examplesGuide to Daily Intervention, pp. 22–23Study Guide and Intervention, CRM,pp. 485–486Reading to Learn Mathematics, CRM, p. 489TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 487Practice, CRM, p. 488Extra Practice, SE, p. 846Differentiated Instruction, TWE, p. 450Answer Key Transparencies, Lesson 8-6WebQuest and Projects Resources, p. 37



8-68-6


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 13–27 odd, 33, 35, 44–48,31 39–43 odd 50–59

Average 13–31 odd 33–43 odd 44–48,50–59(optional: 49)








ObjectivesIllustrate definitions of the conic sections by graphingthem on conic graph paper.State/local objectives:

Getting StartedMaterials/Resources Needed conic graph paper


NCTM Standards

3, 7, 10

Recommended Pacing





TeachTeaching Algebra with Manipulatives,pp. 8–9, 270Glencoe Mathematics Classroom Manipulative KitTeaching Strategy, TWE, p. 453




Algebra Activity (pp. 453–454)A Follow-Up of Lesson 8-6Teacher’s Name Dates


88


ObjectivesSolve systems of quadratic equations algebraically and graphically.Solve systems of quadratic inequalities graphically.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 493Practice, CRM, p. 494Extra Practice, SE, p. 847Differentiated Instruction, TWE, p. 456School-to-Career Masters, p. 16Answer Key Transparencies, Lesson 8-7Multimedia Applications CD-ROM



8-78-7


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 11–21 odd, 33–37 odd 26, 30, 38–45,25–31 odd 52–72

Average 11–31 odd 33–37 odd 30, 38–45,52–72(optional:46–51)

Advanced 12–30 even 32–36 even 31, 38–72







Recommended Pacing







88






ObjectivesSimplify rational expressions.Simplify complex fractions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 473–475Teaching Algebra with Manipulatives, p. 272Interactive Chalkboard CD-ROM,Lesson 9-1algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 24–25Daily Intervention, TWE, p. 474Study Guide and Intervention, CRM,pp. 517–518Reading to Learn Mathematics, CRM, p. 521TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 519Practice, CRM, p. 520Extra Practice, SE, p. 847Differentiated Instruction, TWE, p. 476School-to-Career Masters, p. 17Answer Key Transparencies, Lesson 9-1Alge2PASS CD-ROM, Lesson 17WebQuest and Projects Resources, p. 45



9-19-1


NCTM Standards

2, 6, 8, 9, 10

Recommended Pacing






Basic 15–35 odd 37 43, 47–70

Average 15–35 odd 37–41 odd 43–45, 47–70

Advanced 14–34 even 36–40 even 42, 44–46,48–64(optional:65–70)






9–29–2


ObjectivesDetermine the LCM of polynomials.Add and subtract rational expressions.State/local objectives:






Assessment, Quiz, p. 567algebra2.com/self_check_quiz


NCTM Standards

2, 6, 8, 9, 10

Recommended Pacing






Basic 15–21 odd 23–37 odd 50–61

Average 15–21 odd 23–43 odd, 50–6149

Advanced 14–20 even 22–48 even 45, 47,50–58 (optional:59–61)








ObjectivesDetermine the vertical asymptotes and the point discontinuity for the graphs of rational functions.Graph rational functions.State/local objectives:







9-39-3


NCTM Standards

2, 6, 8, 9, 10

Recommended Pacing






Basic 17–21 odd 23–39 odd 46, 51–66

Average 17–21 odd 23–41 odd, 40, 42, 46,47–50 51–66

Advanced 16–20 even 22–44 even, 41–45 odd,47–50 46, 51–62

(optional:63–66)







ObjectivesInvestigate graphing rational functions.State/local objectives:



NCTM Standards

2, 6, 8

Recommended Pacing






Assess





99


ObjectivesRecognize and solve direct and joint variation problems.Recognize and solve inverse variation problems.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 537Practice, CRM, p. 538Extra Practice, SE, p. 848Differentiated Instruction, TWE, p. 495School-to-Career Masters, p. 18Science and Mathematics Lab Manual,pp. 125–128Graphing Calculator and SpreadsheetMasters, p. 44Real-World Transparency and MasterAnswer Key Transparencies, Lesson 9-4



9-49-4


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 23–29 odd, 35, 31, 33 15–21 odd,39–43 odd 42, 54–73

Average 23–29 odd, 31, 33, 15–21 odd,35–39 odd, 47–49 54–7344–46

Advanced 24–28 even, 22, 30, 32, 14–22 even,34, 36, 40, 38, 47–49 50–67 44–46 (optional:

68–73)







9-59-5


ObjectivesIdentify graphs as different types of functions.Identify equations as different types of functions.State/local objectives:








NCTM Standards

2, 6, 8, 9, 10

Recommended Pacing






Basic 13–21 odd 23–33 odd 32, 37–61

Average 13–21 odd 23–33 odd 32, 37–61

Advanced 14–22 even 24–34 even 31, 33,35–55 (optional:56–61)







ObjectivesSolve rational equations.Solve rational inequalities.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 549Practice, CRM, p. 550Extra Practice, SE, p. 849Differentiated Instruction, TWE, p. 509Answer Key Transparencies, Lesson 9-6Multimedia Applications CD-ROM



9-69-6


NCTM Standards

2, 6, 8, 9, 10

Recommended Pacing






Basic 11, 13, 17, 15, 19, 21 40–5423–27 odd,31, 33

Average 11, 13, 17, 15, 19, 21 40–5423–33 odd,37–39

Advanced 12, 14, 18, 16, 20, 22 35, 40–5424–38 even







ObjectivesInvestigate solving rational equations by graphing.State/local objectives:



NCTM Standards

2, 6

Recommended Pacing






Assess





99


Recommended Pacing







99






ObjectivesUse paper stacking to explore an exponential function.State/local objectives:

Getting StartedMaterials/Resources Needed notebook paper, scissors, grid paper


NCTM Standards

1, 2, 3, 6, 7, 8, 10

Recommended Pacing





TeachTeaching Algebra with Manipulatives,pp. 1, 275Glencoe Mathematics Classroom Manipulative KitTeaching Strategy, TWE, p. 522




Algebra Activity (p. 522)A Preview of Lesson 10-1Teacher’s Name Dates


1010





ObjectivesGraph exponential functions.Solve exponential equations and inequalities.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 524–527Teaching Algebra with Manipulatives,pp. 276–277Interactive Chalkboard CD-ROM,Lesson 10-1algebra2.com/extra_examplesGuide to Daily Intervention, pp. 26–27Study Guide and Intervention, CRM,pp. 573–574Reading to Learn Mathematics, CRM, p. 577TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 575Practice, CRM, p. 576Extra Practice, SE, p. 849Differentiated Instruction, TWE, p. 527Graphing Calculator and SpreadsheetMasters, p. 45Answer Key Transparencies, Lesson 10-1algebra2.com/webquest



10-110-1


NCTM Standards

1, 2, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 21, 23, 37–53 odd 68–70,27–37 odd, 76–8957–61

Average 21–37 odd, 37–55 odd, 67–70,59–61 62–64 76–89

(optional:71–75)

Advanced 22–38 even, 38–56 even, 67–86 61 62–66 (optional:

87–89)



10-210-2


ObjectivesEvaluate logarithmic expressions.Solve logarithmic equations and inequalities.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 532–534Interactive Chalkboard CD-ROM, Lesson 10-2algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 26–27Daily Intervention, TWE, p. 535Study Guide and Intervention, CRM,pp. 579–580Reading to Learn Mathematics, CRM,p. 583TeacherWorks CD-ROM





NCTM Standards

1, 2, 3, 4, 6, 7, 8, 9

Recommended Pacing






Basic 21–41 odd, 45–59 odd 72–9045, 71

Average 21–45 odd, 47–65 odd 68, 72–9067–71 odd

Advanced 22–46 even, 48–64 even 72–84 66, 68–71 (optional:

85–90)











ObjectivesInvestigate modeling real-world data by curve fitingState/local objectives:


NCTM Standards

1, 2, 3, 5, 6, 8, 10

Recommended Pacing






Assess



1010

10-310-3


ObjectivesSimplify and evaluate expressions using the properties of logarithms.Solve logarithmic equations using the properties of logarithms.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 542–543Interactive Chalkboard CD-ROM,Lesson 10-3algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 26–27Daily Intervention, TWE, pp. 542, 544Study Guide and Intervention, CRM,pp. 585–586Reading to Learn Mathematics, CRM, p. 589TeacherWorks CD-ROM





NCTM Standards

1, 2, 4, 6, 7, 8, 9

Recommended Pacing






Basic 13–17 odd, 21–31 odd 35, 36,37–40 47–66

Average 13–19 odd, 21–33 odd 35, 36,37–43 47–66

Advanced 14–20 even, 22–34 even 35, 36,41–46 47–62

(optional:63–66)







ObjectivesSolve exponential equations and inequalities using common logarithms.Evaluate logarithmic expressions using the Change of Base Formula.State/local objectives:







10-410-4


NCTM Standards

1, 2, 4, 6, 8, 9

Recommended Pacing






Basic 17–41 odd, 51 45, 47 56, 59–77

Average 17–43 odd, 51 45–49 odd 56–77


72–77)







ObjectivesInvestigate solving exponential and logarithmic equations and inequalities.State/local objectives:



NCTM Standards

1, 2, 3

Recommended Pacing






Assess





1010


ObjectivesEvaluate expressions involving the natural base and natural logarithms.Solve exponential equations and inequalities using natural logarithms.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 599Practice, CRM, p. 600Extra Practice, SE, p. 850Differentiated Instruction, TWE, p. 556Science and Mathematics Lab Manual,pp. 129–134Answer Key Transparencies, Lesson 10-5Alge2PASS CD-ROM, Lesson 19



10-510–5


NCTM Standards

1, 2, 3, 4, 6, 7, 8, 9

Recommended Pacing






Basic 21–37 odd 39–51 odd, 54–58 even,55–59 odd 62–80

Average 21–37 odd 39–59 odd 54–58 even,62–80

Advanced 20–36 even 38–60 even 55–59 odd,61–74(optional:75–80)







10-610-6


ObjectivesUse logarithms to solve problems involving exponential decay.Use logarithms to solve problems involving exponential growth.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 561–562Teaching Algebra with Manipulatives, p. 278Interactive Chalkboard CD-ROM,Lesson 10-6algebra2.com/extra_examplesalgebra2.com/careersalgebra2.com/usa_todayGuide to Daily Intervention, pp. 26–27Study Guide and Intervention, CRM,pp. 603–604Reading to Learn Mathematics, CRM,p. 607TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 605Practice, CRM, p. 606Extra Practice, SE, p. 851Differentiated Instruction, TWE, p. 561School-to-Career Masters, p. 20Graphing Calculator and SpreadsheetMasters, p. 46Answer Key Transparencies, Lesson 10-6WebQuest and Projects Resources, p. 52algebra2.com/webquestMultimedia Applications CD-ROM




NCTM Standards

1, 2, 4, 6, 8, 9

Recommended Pacing






Basic 11, 13, 17, 18 11, 13, 17, 18 21–40

Average 11, 13, 17, 18 11, 13, 17, 18 15, 16,21–40

Advanced 10–16 even, 20 10–16 even, 15, 19,20 21–40







Recommended Pacing







1010





11-111-1


ObjectivesUse arithmetic sequences.Find arithmetic means.State/local objectives:








NCTM Standards

1, 6, 7, 8, 9

Recommended Pacing






Basic 15, 17, 23, 25, 53, 55 56–6729, 31, 33,37–43 odd,47, 49–51

Average 15–47 odd, 53, 55 56–6749–51

Advanced 16–48 even, 52, 54 56–64 49–51 (optional:

65–67)







ObjectivesFind sums of arithmetic sequences.Use sigma notation.State/local objectives:







11-211-2


NCTM Standards

1, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–23 odd, 33, 35 46–50,27–31 odd, 54–6539–45 odd

Average 15–31 odd, 33–37 odd 46–50,39–45 odd 54–65

(optional:51–53)

Advanced 16–32 even, 34–38 even 46–62 40–44 even (optional:

63-65)






11-311-3


ObjectivesUse geometric sequences.Find geometric means.State/local objectives:








NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 13, 15, 43, 45 47–6121–29 odd,33–41 odd

Average 13–41 odd 43, 45 47–61

Advanced 14–42 even 44, 46 47–58 (optional:59–61)








ObjectivesInvestigate limits.State/local objectives:



NCTM Standards

1, 6

Recommended Pacing






Assess





Graphing Calculator Investigation (p. 593)A Preview of Lesson 11-4

1111





Grade Class M Tu W Th F11-411-4


ObjectivesFind sums of geometric sequences.Find specific terms of a geometric series.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 651Practice, CRM, p. 652Extra Practice, SE, p. 852Differentiated Instruction, TWE, p. 596School-to-Career Masters, p. 22Answer Key Transparencies, Lesson 11-4Alge2PASS CD-ROM, Lesson 21




NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–25 odd, 41, 43 48–51,29–37 odd, 47 55–67

Average 15–39 odd, 47 41–45 odd 48–51, 55–67 (optional:52–54)





ObjectivesFind the sum of an infinite geometric series.Write repeating decimals as fractions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 600–601Interactive Chalkboard CD-ROM,Lesson 11-5algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 28–29Daily Intervention, TWE, pp. 600, 602Study Guide and Intervention, CRM,pp. 655–656Reading to Learn Mathematics, CRM, p. 659TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 657Practice, CRM, p. 658Extra Practice, SE, p. 852Differentiated Instruction, TWE, p. 601Answer Key Transparencies, Lesson 11-5WebQuest and Projects Resources, p. 53Multimedia Applications CD-ROM



11-511-5


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–35 odd 41–45 odd 34, 48–75

Average 15–39 odd 41–47 odd 34, 48–75








ObjectivesTo discover how a spreadsheet can express a relationship in which the calculation of the value of thenext term involves using the value of the previous term.State/local objectives:



NCTM Standards

1, 6, 8, 9, 10

Recommended Pacing





Teach

Assess





Spreadsheet Investigation (p. 605)A Preview of Lesson 11-6

1111


ObjectivesRecognize and use special sequences.Iterate functions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 607–608Teaching Algebra with Manipulatives,pp. 285–287Interactive Chalkboard CD-ROM,Lesson 11-6algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 28–29Study Guide and Intervention, CRM,pp. 661–662Reading to Learn Mathematics, CRM, p. 665TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 663Practice, CRM, p. 664Extra Practice, SE, p. 853Differentiated Instruction, TWE, p. 608Graphing Calculator and SpreadsheetMasters, p. 47Real-World Transparency and MasterAnswer Key Transparencies, Lesson 11-6



11-611-6


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 13–19 odd, 31–35 odd, 39 26–30 even,23–29 odd 40–55

Average 13–29 odd 31–39 odd 26–30 even,40–55

Advanced 14–30 even 32–38 even 25–29 odd,40–49 (optional:50–55)







ObjectivesTo apply iterations to various aspects of the Kochsnowflake fractal.State/local objectives:

Getting StartedMaterials/Resources Needed isometric dot paper


NCTM Standards

1, 3, 4, 6, 7, 8

Recommended Pacing











Algebra Activity (p. 611)A Follow-Up of Lesson 11-6

1111


ObjectivesUse Pascal’s triangle to expand powers of binomials.Use the Binomial Theorem to expand powers of binomials.State/local objectives:







11-711-7


NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 19, 21, 13–17 odd, 42–6235–39 odd 23–27 odd,

31, 33

Average 19, 21, 13–17 odd, 42–6235–41 odd 23–33 odd

Advanced 20, 22, 14–18 even, 42–58 34–40 even 24–32 even (optional:

59–62)










11-811-8


ObjectivesProve statements by using mathematical induction.Disprove statements by finding a counterexample.State/local objectives:








NCTM Standards

2, 6, 7, 8

Recommended Pacing






Basic 11–23 odd 25, 27 31–42

Average 11–23 odd 25–29 odd 31–42

Advanced 12–24 even 26–30 even 31–42




Recommended Pacing







1111





12-112-1


ObjectivesSolve problems involving independent events.Solve problems involving dependent events.State/local objectives:








NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 11 13 15–19 odd,23–25, 29–31,34–63

Average 11 13 15–25 odd,29–31, 34–63(optional:32, 33)

Advanced 12 10 14–24 even,26–55 (optional:56–63)







ObjectivesSolve problems involving linear permutations.Solve problems involving combinations.State/local objectives:







12-212-2


NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 13, 15, 25, 27 17, 19, 23, 29 31, 37–40,44–72

Average 13, 15, 25, 27 17–23 odd, 29 31–35 odd,37–40, 44–72(optional:41–43)

Advanced 12, 14, 22, 24 16–20 even, 30–36 even,26, 28 37–68

(optional:69–72)






12-312-3


ObjectivesFind the probability and odds of events.Create and use graphs of probability distributions.State/local objectives:








NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 19–53 odd 55–59 odd 62–65, 70–82

Average 19–53 odd 55–59 odd 61–65, 70–82 (optional:66–69)









ObjectivesFind the probability of two independent events.Find the probability of two dependent events.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 652–654Teaching Algebra with Manipulatives,pp. 291–293Interactive Chalkboard CD-ROM, Lesson 12-4algebra2.com/extra_examplesGuide to Daily Intervention, pp. 30–31Daily Intervention, TWE, p. 654Study Guide and Intervention, CRM,pp. 717–718Reading to Learn Mathematics, CRM,p. 721TeacherWorks CD-ROM




12-412-4


NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 15–21 odd, 23, 27, 33 45, 50–7729, 31

Average 15–21 odd, 23–27 odd, 45, 50–7729, 31 33, 35, 41, 43

Advanced 14–18 even, 20, 26, 30, 36–39,22, 24, 28, 40, 42 44, 46–71 32, 34 (optional:

72–77)






12-512-5


ObjectivesFind the probability of mutually exclusive events.Find the probability of inclusive events.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 659–660Interactive Chalkboard CD-ROM,Lesson 12-5algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 30–31Daily Intervention, TWE, p. 660Study Guide and Intervention, CRM,pp. 723–724Reading to Learn Mathematics, CRM, p. 727TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 725Practice, CRM, p. 726Extra Practice, SE, p. 855Differentiated Instruction, TWE, p. 660Graphing Calculator and SpreadsheetMasters, p. 49Answer Key Transparencies, Lesson 12-5Multimedia Applications CD-ROM




NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 13–17 odd, 21, 25–31 odd 47–7523, 33–39 odd

Average 13–23 odd, 25–31 odd, 43 47–7533–41 odd

Advanced 14–22 even, 24, 28–32 45, 47–69 26, 34–42 even, 44, 46 (optional:even 70–75)







ObjectivesUse measures of central tendency to represent a set of data.Find measures of variation for a set of data.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 731Practice, CRM, p. 732Extra Practice, SE, p. 855Differentiated Instruction, TWE, p. 667Science and Mathematics Lab Manual,pp. 117–120Answer Key Transparencies, Lesson 12-6WebQuest and Projects Resources, p. 29



12-612-6


NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 17, 18, 21–23 9–13 odd, 34–41,27–30 45–64

Average 19–23 9–15 odd, 34–41,31–33 45–64

(optional:42–44)

Advanced 19, 20, 24–26 10–16 even, 34–58 31–33 (optional:

59–64)







12-712-7


ObjectivesDetermine whether a set of data appears to be normally distributed or skewed.Solve problems involving normally distributed data.State/local objectives:








NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 13 15–21 27–44

Average 13 22–26 27–44

Advanced 12, 14 22–26 27–41 (optional:42–44)







ObjectivesUse binomial expansions to find probabilities.Find probabilities for binomial experiments.State/local objectives:



2 TeachIn-Class Examples, TWE, p. 677Teaching Algebra with Manipulatives,pp. 294–295Interactive Chalkboard CD-ROM,Lesson 12-8algebra2.com/extra_examplesGuide to Daily Intervention, pp. 30–31Study Guide and Intervention, CRM,pp. 741–742Reading to Learn Mathematics, CRM, p. 745TeacherWorks CD-ROM




12-812-8


NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 13–31 odd, 35 13–31 odd, 35 38–41, 44–56

Average 13–37 odd 13–37 odd 36, 38–41,44–56 (optional:42, 43)








ObjectivesSimulate a real-life situation, collect data, and do a statistical analysis.State/local objectives:

Getting StartedMaterials/Resources Needed one die for each group


NCTM Standards

1, 5, 6, 9, 10

Recommended Pacing











1212


ObjectivesDetermine whether a sample is unbiased.Find margins of sampling error.State/local objectives:



2 TeachIn-Class Examples, TWE, p. 683Teaching Algebra with Manipulatives, p. 296Interactive Chalkboard CD-ROM,Lesson 12-9algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 30–31Study Guide and Intervention, CRM,pp. 747–748Reading to Learn Mathematics, CRM, p. 751TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 749Practice, CRM, p. 750Extra Practice, SE, p. 856Differentiated Instruction, TWE, p. 683Science and Mathematics Lab Manual,pp. 59–64Answer Key Transparencies, Lesson 12-9algebra2.com/webquest



12-912-9


NCTM Standards

1, 5, 6, 8, 9, 10

Recommended Pacing






Basic 11, 13 15–25 odd 28–38

Average 11, 13 15–27 odd 28–38

Advanced 12, 14 16–28 even 29–38







ObjectivesState hypotheses for conjectures and design an experiment to test a hypothesis.State/local objectives:

Getting StartedMaterials/Resources Needed ruler, stop watch


NCTM Standards

5, 7, 8, 9, 10

Recommended Pacing











1212


Recommended Pacing







1212






ObjectivesInvestigate special right triangles.State/local objectives:



NCTM Standards

2, 3, 6

Recommended Pacing





Teach

Assess



Spreadsheet Investigation (p. 700)A Preview of Lesson 13-1Teacher’s Name Dates


1313


ObjectivesFind values of trigonometric functions for acute angles.Solve problems involving right triangles.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 702–705Teaching Algebra with Manipulatives,pp. 299–300Interactive Chalkboard CD-ROM,Lesson 13-1algebra2.com/extra_examplesalgebra2.com/careersGuide to Daily Intervention, pp. 32–33Study Guide and Intervention, CRM,pp. 775–776Reading to Learn Mathematics, CRM, p. 779TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 777Practice, CRM, p. 778Extra Practice, SE, p. 857Differentiated Instruction, TWE, p. 704Science and Mathematics Lab Manual,pp. 39–42Graphing Calculator and SpreadsheetMasters, p. 52Answer Key Transparencies, Lesson 13-1algebra2.com/webquest



13-113-1


NCTM Standards

2, 3, 6, 8, 9, 10

Recommended Pacing






Basic 15, 17, 27 21–25 odd, 47–6229–37 odd, 41

Average 15–19 odd, 27 21–25 odd, 44, 47–6229–45 odd

Advanced 16–20 even, 28 22–26 even, 47–58 30–42 even, (optional:43–46 59–62)






13-213-2


ObjectivesChange radian measure to degree measure and vice versa.Identify coterminal angles.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 710–712Interactive Chalkboard CD-ROM,Lesson 13-2algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 32–33Study Guide and Intervention, CRM,pp. 781–782Reading to Learn Mathematics, CRM, p. 785TeacherWorks CD-ROM





NCTM Standards

1, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 19–23 odd, 43–53 odd 60–8127–39 odd,55, 57

Average 19–41 odd, 43–53 odd 60–8155–59 odd

Advanced 20–42 even, 44–54 even 60–75 56, 58 (optional:

76–81)








ObjectivesInvestigate measures in regular polygons usingtrigonometry.State/local objectives:

Getting StartedMaterials/Resources Needed compass, straightedge, protractor


NCTM Standards

1, 3, 4, 6, 8

Recommended Pacing











1313

13-313-3


ObjectivesFind values of trigonometric functions for general angles.Use reference angles to find values of trigonometric functions.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 789Practice, CRM, p. 790Extra Practice, SE, p. 857Differentiated Instruction, TWE, p. 720Real-World Transparency and MasterAnswer Key Transparencies, Lesson 13-3Alge2PASS CD-ROM, Lessons 24 & 25




NCTM Standards

1, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 17–21 odd 25–51 odd 56–77

Average 17–23 odd 25–51 odd 55–77

Advanced 18–24 even 26–52 even 53, 54, 56–71 (optional:72–77)







ObjectivesSolve problems by using the Law of Sines.Determine whether a triangle has one, two, or no solutions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 726–729Interactive Chalkboard CD-ROM,Lesson 13-4algebra2.com/extra_examplesGuide to Daily Intervention, pp. 32–33Daily Intervention, TWE, pp. 726, 730Study Guide and Intervention, CRM,pp. 793–794Reading to Learn Mathematics, CRM, p. 797TeacherWorks CD-ROM




13-413-4


NCTM Standards

1, 3, 4, 6, 8, 9, 10

Recommended Pacing



Block Average Days 3 & 4 of 7.5



Basic 15–27 odd 29–37 odd 42–58

Average 15–27 odd 29–37 odd 42–58

Advanced 14–26 even, 28–36 even 41–54 38, 40 (optional:

55–58)






13-513-5


ObjectivesSolve problems by using the law of cosines.Determine whether a triangle can be solved by first using the Law of Sines or the Law of Cosines.State/local objectives:








NCTM Standards

1, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 11–25 odd, 31 11–25 odd 34–37, 41–54

Average 11–27 odd, 11–27 odd 34–37,31, 33 41–54

(optional:38–40)









ObjectivesDefine and use the trigonometric functions based on the unit circle.Find the exact values of trigonometric functions.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 740–742Teaching Algebra with Manipulatives, p. 302Interactive Chalkboard CD-ROM,Lesson 13-6algebra2.com/extra_examplesGuide to Daily Intervention, pp. 32–33Study Guide and Intervention, CRM,pp. 805–806Reading to Learn Mathematics, CRM, p. 809TeacherWorks CD-ROM




13-613-6


NCTM Standards

1, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 11–15 odd 17–21 odd, 43–6929, 31,33, 34

Average 11–15 odd 17–31 odd, 43–6933–35

Advanced 12–16 even 18–32 even, 43–63 33, 34, (optional:36–42 64–69)






13-713-7


ObjectivesSolve equations by using inverse trigonometric functions.Find values of expressions involving trigonometric functions.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 813Practice, CRM, p. 814Extra Practice, SE, p. 859Differentiated Instruction, TWE, p. 748Answer Key Transparencies, Lesson 13-7Multimedia Applications CD-ROM




NCTM Standards

1, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 15–25 odd, 45 27–43 odd 49–54, 58–66

Average 15–25 odd, 27–43 odd 49–54, 58–66 45, 47 (optional:

55–57)

Advanced 16–26 even, 28–44 even 49–6646, 48







Recommended Pacing



Block Average Days 7 & 7.5 of 7.5




1313





14-114-1


ObjectivesGraph trigonometric functions.Find the amplitude and period of variation of the sine,cosine, and tangent functions.State/local objectives:




3 Practice/ApplySkills Practice, CRM, p. 839Practice, CRM, p. 840Extra Practice, SE, p. 859Differentiated Instruction, TWE, p. 763Real-World Transparency and MasterAnswer Key Transparencies, Lesson 14-1WebQuest and Projects Resources, p. 61Multimedia Applications CD-ROM




NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing

Regular Average Optional


Block Average Optional

Block Advanced Day 1 of 7.5


Basic 15–31 odd 15–31 odd 35–56

Average 15–33 odd 15–33 odd 35–56








ObjectivesGraph horizontal translations of trigonometric graphs and find phase shifts.Graph vertical translations of trigonometric graphs.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 770–773Interactive Chalkboard CD-ROM,Lesson 14-2algebra2.com/extra_examplesalgebra2.com/data_updateGuide to Daily Intervention, pp. 34–35Study Guide and Intervention, CRM,pp. 843–844Reading to Learn Mathematics, CRM, p. 847TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 845Practice, CRM, p. 846Extra Practice, SE, p. 859Differentiated Instruction, TWE, p. 773School-to-Career Masters, p. 27Graphing Calculator and SpreadsheetMasters, p. 53Answer Key Transparencies, Lesson 14-2Alge2PASS CD-ROM, Lesson 27algebra2.com/webquest



14-214-2


NCTM Standards

1, 2, 3, 4, 6, 8, 9, 10

Recommended Pacing






Basic 19–23 odd, 25–29 odd, 43–7333–41 odd 33–41 odd

Average 19–23 odd, 25–41 odd 44–7333–41 odd

Advanced 20–24 even, 26–42 even 44–46, 48–65 34–42 even (optional:

66–73)






14-314-3


ObjectivesUse identities to find trigonometric values.Use trigonometric identities to simplify expressions.State/local objectives:








NCTM Standards

1, 2, 6, 8, 9, 10

Recommended Pacing






Basic 13–23 odd 25–35 odd 37–41, 43–58

Average 13–23 odd 25–35 odd 37–41, 43–58









ObjectivesVerify trigonometric identies by transforming one side of an equation into the form of the other side.Verify trigonometric identities by transforming each side of the equation into the same form.State/local objectives:







14-414-4


NCTM Standards

2, 8

Recommended Pacing






Basic 11–23 odd, 25 31, 33–36,27, 29 43–54

Average 11–23 odd, 25 31, 33–36,27, 29 43–54

(optional:37–42)

Advanced 12–30 even 31–50 (optional:51–54)






14-514-5


ObjectivesFind values of sine and cosine involving sum and difference formulas.Verify identities by using sum and difference formulas.State/local objectives:








NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–25 odd 29–37 odd 40, 41, 43,45–74

Average 15–27 odd 29–39 odd 40, 41, 43,45–74








ObjectivesFind values of sine and cosine involving double-angle formulas.Find values of sine and cosine involving half-angle formulas.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 791–794Interactive Chalkboard CD-ROM,Lesson 14-6algebra2.com/extra_examplesalgebra2.com/usa_todayGuide to Daily Intervention, pp. 34–35Study Guide and Intervention, CRM,pp. 867–868Reading to Learn Mathematics, CRM, p. 871TeacherWorks CD-ROM




14-614-6


NCTM Standards

1, 2, 7, 8, 9, 10

Recommended Pacing






Basic 13–23 odd, 31 13–29 odd, 35 33, 37–39,41–65

Average 13–23 odd, 31 13–29 odd, 35 33, 37–39,41–65

Advanced 14–24 even 14–32 even 34, 36, 38–59 (optional:60–65)








ObjectivesInvestigate solving trigonometric equations.State/local objectives:



NCTM Standards

2, 10

Recommended Pacing






Assess



Graphing Calculator Investigation (p. 798)A Preview of Lesson 14-7Teacher’s Name Dates


1414


ObjectivesSolve trigonometric equations.Use trigonometric equations to solve real-world problems.State/local objectives:



2 TeachIn-Class Examples, TWE, pp. 800–802Teaching Algebra with Manipulatives, p. 304Interactive Chalkboard CD-ROM,Lesson 14-7algebra2.com/extra_examplesGuide to Daily Intervention, pp. 34–35Study Guide and Intervention, CRM,pp. 873–874Reading to Learn Mathematics, CRM, p. 877TeacherWorks CD-ROM

3 Practice/ApplySkills Practice, CRM, p. 875Practice, CRM, p. 876Extra Practice, SE, p. 861Differentiated Instruction, TWE, p. 801School-to-Career Masters, p. 28Science and Mathematics Lab Manual,pp. 147–150Answer Key Transparencies, Lesson 14-7algebra2.com/webquest



14-714-7


NCTM Standards

1, 2, 6, 7, 8, 9, 10

Recommended Pacing






Basic 15–39 odd 41–44 45–55

Average 15–39 odd 41–44 45–55

Advanced 16–40 even 41–44 45–55







Recommended Pacing




Block Advanced Days 7 & 7.5 of 7.5

AssessVocabulary and Concept Check, SE, p. 805Vocabulary Test, CRM, p. 892Lesson-by-Lesson Review, SE, pp. 805–810Practice Test, SE, p. 811Chapter 14 Tests, CRM, pp. 879–890Open-Ended Assessment, CRM, p. 891Standardized Test Practice, SE, pp. 812–813Standardized Test Practice, CRM, pp. 897–898Cumulative Review, CRM, p. 896Vocabulary PuzzleMaker CD-ROMalgebra2.com/vocabulary_reviewalgebra2.com/chapter_testalgebra2.com/standardized_testMindJogger Videoquizzes VHSUnit 5 Test, CRM, pp. 899–900Second Semester Test, CRM, pp. 901–904Final Test, CRM, pp. 905–910


1414





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