Algebra 2, 3rd ed. Lesson Plan Overview



Algebra 2, 3rd ed.Standard Lesson Plan OverviewThis Standard Lesson Plan allocates 90 days for each semester. Test Packet, supplementary material to the Student Text and Teacher’s EditionTeacher’s Toolkit CD, included in the Teacher’s EditionStudent Activities, included on the Teacher’s Toolkit CD*covered in the Teacher’s Edition or TTK CD: Student ActivitiesDayTopicPagesSupport MaterialsBible IntegrationChapter 1: Basic Algebra1Introductionvi–1Appendix D, Dominion ModelingBible Integration: What Is the Dominion Mandate?Biblical Worldview Connection; predicting disease to help relieve human sufferingproviding for the needs of othersmanaging creation*21.1 Real Numbers2–6TTK CD: Visualssuccessful living by depending on the foundation of ChristGod’s creation and man created in His image*understanding and declaring God’s wondrous works*31.2 Real Number Operations7–11Quiz 1 (1.1)41.3 Simplifying Algebraic ExpressionsAlgebra Around the World—Ancient Numeration12–17Graphing Calculator: Evaluating Expressionsthe Lord blessed Daniel and his friends as they purposed to put Him firstGod multiplies blessings as Christians develop godly character*51.4 Solving Equations18–22Quiz 2 (1.2–1.3)making growth a daily goal in one’s Christian walk61.5 Applying Equations23–29applying godly wisdom to solve the problems of lifeproblem-solving ways of a godly person*781.6 Solving Inequalities29–33Appendix F, Study Skills (Before Class)Quiz 3 (1.4–1.5)using God-given abilities to glorify Him91.7 Compound Inequalities34–38Math History: Richard Dedekind TTK CD: Visuals101.8 Absolute Value Equations38–43Quiz 4 (1.6–1.7)Graphing Calculator: Absolute Value—Numbers and Equations11Programming ProjectTechnology Corner43–44 121.9 Absolute Value Inequalities45–49Practice with Linear Equations and InequalitiesEnrichment: Graphs of Absolute Value Inequalities13Dominion Modeling50Quiz 5 (1.8–1.9)God’s command to have dominion over the earth*14Chapter 1 ReviewCollege Entrance Test Preparation51–53Mathardy: Ch. 115Chapter 1 TestChapter 2: Linear Relations162.1 Relations and FunctionsMath in History—Hypatia54–62Bible Integration: Bible, Math, and LogicTTK CD: VisualsBiblical Worldview Connection; using mathematics to help meet human needs and manage natural resourcesdiligently pursuing God-given gifts*the use of logic by Christ and Paul*172.2 Graphs of Linear Equations63–68Quiz 1 (2.1)Graphing Calculator: Graphing Linear Functions from EquationsTTK CD: Visualsspeaking truth*abstaining from deceiving others*182.3 Writing Linear Equations69–74Appendix G, Excerpts from Bible NumericsPractice: Linear FunctionsBible Integration: Reflecting on Allis’s Paper “Excerpts from Bible Numerics”TTK CD: Visuals and Resourcesdiligent planning19202.4 Modeling Linear DataTechnology Corner74–81Appendix E, Linear Regression on the TI-841Quiz 2 (2.2–2.3)Graphing Calculator: Linear RegressionsTTK CD: Resourcesthe world’s hatred for Christ*the broad way to destruction*God’s command and help for evangelism*21222.5 Special Functions82–87TTK CD: Resourceswise men lay up knowledge232.6 Graphing Inequalities88–92Appendix F, Study Skills (During Class)Quiz 3 (2.4–2.5)242.7 Distances and Midpoints92–97TTK CD: Visuals and Resourcesspiritual battle*25Dominion Modeling98–99Quiz 4 (2.6–2.7)TTK CD: Resourcesconsidering biblical history in viewing Earth’s climatevaluing efforts to model Earth’s climate26Chapter 2 Review College Entrance Test Preparation100–103Mathardy: Ch. 227Chapter 2 TestChapter 3: Solving Systems283.1 Solving Systems GraphicallyTechnology Corner104–12Appendix H, Modern Mathematics in a Christian CollegeAppendix I, Reflections of God in the Structure of the Physical UniverseBible Integration: Reflecting on Zwier’s PaperEnrichment: A “Proof” That 1 = 0Biblical Worldview Connection; assisting others and not benefiting from their misfortunesconstructing a correct worldview with God’s Word*the ungodly pervert God’s truth*293.2 Solving Systems Algebraically112–17Practice with Systems of EquationsTTK CD: Visuals30313.3 Solving Problems with Systems117–22Quiz 1 (3.1–3.2)Scripture guides our hearts to godly thinking and reasoning32Algebra Around the World—Greek Math 3.4 Graphing Systems of Inequalities123–27333.5 Linear Programming128–33Quiz 2 (3.3–3.4)Bible Integration: Bible, Math, and BusinessTTK CD: Visualsusing business profits to benefit employees, customers, and otherslaboring for the Lord*God’s commands about work*Abraham’s business example*343.6 Linear Systems in Three Variables134–3935Dominion Modeling140Quiz 3 (3.5–3.6)seeking wise counselbeing patientnot withholding good from them to whom it is due36Chapter 3 Review College Entrance Test Preparation141–43Mathardy: Ch. 337Chapter 3 TestChapter 4: Matrices384.1 Organizing Data with Matrices144–50Bible Integration: Bible, Math, and GrammarTTK CD: VisualsBiblical Worldview Connection; communicating truth because our God is a God of truthrejoicing in the truth*grammar aids in understanding*39Math in History—Johannes Kepler4.2 Elementary Matrix Operations150–56Graphing Calculator: Matrix Addition and SubtractionGod and His power clearly revealed by creation*404.3 Multiplying Matrices 156–61Quiz 1 (4.1–4.2)Practice: Matrix ProductsTTK CD: Visuals and Resources414.4 Determinants and Cramer’s Rule162–67Graphing Calculator: Evaluating the Determinant of a MatrixGraphing Calculator: Solving Systems of Equations by Cramer’s Rule424.3–4.4 reviewQuiz 2 (4.3–4.4)434.5 Inverse Matrices and Solving SystemsTechnology Corner 168–73Graphing Calculator: Inverse of a MatrixTTK CD: Visuals444.6 Matrices and Transformations173–7945Dominion Modeling180–81Quiz 3 (4.5–4.6)communicating honestly46Chapter 4 Review College Entrance Test Preparation182–85Mathardy: Ch. 447Chapter 4 TestChapter 5: Quadratic Equations485.1 Multiplying Polynomials186–92Bible Integration: Bible, Math, and ScienceBiblical Worldview Connection; exhibiting Christlike concern for others by modeling motion for people’s protectionGod’s wisdom and power*the misuse of science*495.2 Factoring Quadratic Polynomials192–96Practice: Factoring505.3 Solving by Factoring 197–200Math History: Niels AbelAdam’s dominion responsibility praising God for how we are made*515.1–5.3 reviewQuiz 1 (5.1–5.3)525.4 Solving by Taking Roots201–5safety in the Lord*535.5 Complex Numbers 205–9Practice: Complex Numberscommunicating truth545.4–5.5 reviewQuiz 2 (5.4–5.5)555.6 Solving by Completing the Square209–13effort and labor that are not in vain*565.7 The Quadratic Formula 213–17Graphing Calculator: Solving Quadratic Equations Graphicallybeing honest before God and man*walking worthy of the Lord*575.6–5.7 reviewQuiz 3 (5.6–5.7)585.8 Solutions to Quadratic Equations Technology Corner217–22Appendix J, Complex Numbers: The Story of Practice: Quadratic Equationsdiscerning between right and wrongsalvation only through Christ*595.9 Solving Quadratic Inequalities223–28Practice: Quadratic Inequalities60Algebra Around the World—Arabic MathDominion Modeling229–30Quiz 4 (5.8–5.9)TTK CD: Resourcessubmitting to authorities who are ordained by God to promote good and to punish evildoers61Chapter 5 Review College Entrance Test Preparation231–33Mathardy: Ch. 562Chapter 5 TestChapter 6: Polynomial Functions636.1 Quadratic Functions234–40Math History: Jean d’AlembertGraphing Calculator: Families of Quadratic FunctionsBiblical Worldview Connection: predicting population growth as a means to carry out God’s commandsthe Fall’s effect on God’s creation*God sustains us and meets our needs*seeking righteousness*646.2 Quadratic Functions: f(x)?5?a(x?2?h)2?1?k241–46Appendix F, Study Skills (Practice Time)Graphing Calculator: Locating the Vertex of a Parabola—Maximum or Minimum656.3 Zeros and Inequalities247–51Quiz 1 (6.1–6.2)Practice with Quadratic FunctionsPractice with Systems of Inequalities666.4 Modeling with Quadratic Functions251–58Enrichment: Graphing Parabolas in Complex SpaceTTK CD: Resourcesapplying math and technology when possible to use God-provided resources efficientlyGod supplies all our needs*67Technology Corner 6.3–6.4 Review255Quiz 2 (6.3–6.4)686.5 Dividing Polynomials258–62696.6 Factoring Polynomials262–66Graphing Calculator: Finding Zeros of Polynomial Functions706.5–6.6 reviewQuiz 3 (6.5–6.6)716.7 Polynomial EquationsMath in History—Fran?ois Viète266–71Enrichment: Modeling Functionsbeing diligent and persevering*726.8 Graphing Polynomial Functions272–79Practice with Polynomial Functions and InequalitiesTTK CD: Resources73Dominion Modeling280–81Quiz 4 (6.7–6.8)demonstrating compassion to those in needour dominion responsibilities and God’s provisional promises*74Chapter 6 Review College Entrance Test Preparation282–85Mathardy: Ch. 675Chapter 6 TestChapter 7: Radicals and Exponents767.1 Simplifying RadicalsTechnology Corner286–92, 309Bible Integration: Bible, Math, and HistoryBiblical Worldview Connection; recognizing God’s goodness through modeling pendulum motionmaking knowledge easy through understanding*historical examples for our admonition*God precedes everything*777.2 Rational Exponents292–96Remediation: The Marvel of Compound Interest787.3 Sums and Differences296–300Appendix F, Study Skills (Test Preparation)Quiz 1 (7.1–7.2)797.4 Products300–30380Algebra Around the World—Italian Math7.5 Quotients304–8Quiz 2 (7.3–7.4)Practice with Radical and Exponential Expressions817.6 Radical and Exponential Equations309–14Math History: William Rowan Hamiltonstudying the Bible to prevent swaying from God’s truth*827.5–7.6 reviewQuiz 3 (7.5–7.6)837.7 More Radical Equations314–18Practice with Radical and Exponential Equations847.8 Radical Functions318–23using radicals and exponents in modeling God’s creation85Dominion Modeling324–25Quiz 4 (7.7–7.8)TTK CD: ResourcesGod created the earth for our use and enjoymentGod establishes His faithfulness in the heavensthe evidence of creation condemns those who reject the Creator*86Chapter 7 Review College Entrance Test Preparation326–28Mathardy: Ch. 787Chapter 7 Test88Review for Final Exam89Review for Final Exam90Final Exam (Chapters 1–7)Chapter 8: Exponential and Logarithmic Functions918.1 Function Operations330–37Bible Integration: Bible, Math, and LiteratureTTK CD: VisualsBiblical Worldview Connection; modeling sound to help protect the hearing of business employeesreceiving the Word eagerly and studying it daily*separation from unbelievers and their gods*928.2 Inverse Relations and Functions338–42Math History: Gerolamo Cardano93Technology Corner343Quiz 1 (8.1–8.2)948.3 Exponential Functions344–48Practice with Linear and Special Relations958.4 Using Exponential Functions349–54968.5 Logarithmic Functions354–59Quiz 2 (8.3–8.4)Graphing Calculator: Graphing Exponential and Logarithmic Functions978.6 Properties of Logarithms359–63preaching the gospel to all people*988.7 Exponential and Logarithmic Equations364–69Quiz 3 (8.5–8.6)99Math in History—John Napier8.8 Natural Logarithms370–76Practice with Logarithmscontrasting corruptible (decay) and incorruptible*100Dominion Modeling 377–78Quiz 4 (8.7–8.8)Enrichment: Modeling SoundTTK CD: Resourcesour bodies belong to Godcaring for the needs of others101Chapter 8 Review College Entrance Test Preparation379–81Mathardy: Ch. 8102Chapter 8 TestChapter 9: Rational Expressions and Equations1039.1 Simplifying Rational Expressions382–87Biblical Worldview Connection; revealing God’s image through creating beautiful music1049.2 Multiplying and Dividing Rational Expressions388–91doing all to the glory of God*1059.3 Adding and Subtracting Rational Expressions392–97Quiz 1 (9.1–9.2)Practice with Rational Expressions1069.4 Solving Rational Equations398–403Practice with Rational EquationsTTK CD: Resourcesworking honorably for the Lord*1079.3–9.4 reviewQuiz 2 (9.3–9.4)1089.5 Graphing Reciprocal Functions405–111099.6 Graphing Rational Functions411–17Practice with Rational FunctionsGraphing Calculator: Graphing Rational Functions110Technology Corner9.5–9.6 review418Quiz 3 (9.5–9.6)Enrichment: Pushing Rational Functions to Their Limits1119.7 Variations419–24112Algebra Around the World—German MathDominion Modeling404, 425–26Quiz 4 (9.7)God’s will*biblical connections to musicbiblical music, both vocal and instrumental*created for God’s glory*113Chapter 9 Review College Entrance Test Preparation427–29Mathardy: Ch. 9114Chapter 9 TestChapter 10: Trigonometry11510.1 Right Triangle Trigonometry430–37Bible Integration: Bible, Math, and GeographyBiblical Worldview Connection; understanding and using God-given resourcesGod saw His creation as good*Earth’s geography changed by the Flood*11610.2 Solving Right Triangles438–44Practice with Triangles and TrigonometryMath History: Hipparchus of RhodesTTK CD: Visuals11710.3 Trigonometry in the Coordinate Plane445–49Quiz 1 (10.1–10.2)TTK CD: Visuals11810.4 Radians and the Unit Circle Technology Corner 450–55TTK CD: Visuals and Resources11910.3–10.4 reviewQuiz 2 (10.3–10.4)12010.5 Graphs of Sine and Cosine FunctionsMath in History—Leonhard Euler456–63Graphing Calculator: Graphing the Sine FunctionPractice with Trigonometric FunctionsEuler’s identity reflects the order and beauty in God’s creation12110.6 Graphs of Other Trigonometric Functions464–6912210.5–10.6 reviewQuiz 3 (10.5–10.6)12310.7 Translating Trigonometric Functions469–7412410.8 Inverse Trigonometric Functions475–80Enrichment: Inverse Trigonometric Functions Practice with Inverse Trigonometric Functions125Dominion Modeling481–82Quiz 4 (10.7–10.8)man’s limited ability to model God’s creation126Chapter 10 Review College Entrance Test Preparation483–85Mathardy: Ch. 10Cumulative Review127Chapter 10 TestChapter 11: Trigonometric Identities12811.1 Law of Sines486–92TTK CD: VisualsBiblical Worldview Connection; developing models of the earth’s surface to better use and care for the land12911.2 Law of Cosines493–97130Technology Corner11.1–11.2 review497Quiz 1 (11.1–11.2)Enrichment: Other Trigonometric FunctionsPractice with Trigonometric Problems13111.3 Basic IdentitiesAlgebra Around the World—British Math 498–50213211.4 Verifying Identities503–613311.5 Sum and Difference Identities506–11Quiz 2 (11.3–11.4)Practice with Identities and EquationsTTK CD: Visuals13413511.6 Trigonometric Equations 511–15Graphing Calculator: Finding Solutions to Trigonometric Equations136137Dominion Modeling 516Quiz 3 (11.5–11.6)impacting the lives of others for eternityconsideration for others involving landmarks*138Chapter 11 Review College Entrance Test Preparation517–19Mathardy: Ch. 11Cumulative Review139Chapter 11 TestChapter 12: Sequences and Series14012.1 Introduction to SequencesTechnology Corner520–27Math History TimelineBiblical Worldview Connection; applying scriptural principles in making wise financial decisions14112.2 Arithmetic Sequences528–3214212.1–12.2 reviewQuiz 1 (12.1–12.2)14312.3 Geometric Sequences533–37Practice with Sequences14412.4 Arithmetic Series and Sigma Notation538–42Appendix K, Mathematical Careers14512.3–12.4 reviewQuiz 2 (12.3–12.4)146Math in History—Emmy Noether12.5 Geometric Series543–48Practice with SeriesEnrichment: Repeating DecimalsTTK CD: Resources14712.6 Mathematical Induction549–52Appendix L, Math and the BibleBible Integration: Reflecting on Keister’s Paper “Math and the Bible”arithmetic examples exist in Scripture*mathematical properties and logic in the Bible*14812.5–12.6 reviewQuiz 3 (12.5–12.6)Enrichment: Area Under a Curve149Dominion Modeling553–54biblical principles of finance150Chapter 12 Review College Entrance Test Preparation555–57Mathardy: Ch. 12Cumulative Review151Chapter 12 TestChapter 13: Probability and Statistics15213.1 Counting Principles558–65Practice with Counting ProblemsBiblical Worldview Connection; avoiding unnecessary risks and protecting lives and jobs15313.2 Basic Probability565–71Enrichment: Experimenting with Theoretical ProbabilitiesTTK CD: ResourcesGod establishes all things15413.1–13.2 reviewQuiz 1 (13.1–13.2)15513.3 Compound Events571–77Appendix M, Considering CardsBible Integration: Reflecting on a Biblical View of Gambling TTK CD: Visualsgreed condemnedgambling ensnaresbeing controlled by the Holy Spiritcasting lots examined in both Old and New Testaments*recognizing that everything belongs to God*15613.4 The Binomial Probability Distribution577–82Bible Integration: Bible, Math, and Foreign Languagelanguage comes from God*mathematics is helpful in planning for Bible translations; having the Scriptures in hand will help with the spread of the gospel*157Algebra Around the World—French Math 13.3–13.4 review583Quiz 2 (13.3–13.4)15813.5 Describing Data584–89TTK CD: Resources15913.6 Organizing DataTechnology Corner 590–96Enrichment: Simpson’s Paradox—How More Becomes LessTTK CD: Resources16013.5–13.6 reviewQuiz 3 (13.5–13.6)16113.7 The Normal Distribution597–601Practice with Probability and StatisticsTTK CD: Resourcesrecognizing that many characteristics of creation can be modeled by a normal distribution16213.8 Making Inferences602–7Graphing Calculator: Calculating Statistical MeasuresTTK CD: Resources163Dominion Modeling608–9Quiz 4 (13.7–13.8)TTK CD: Resourcesobeying authoritiesbeing concerned for the well-being of others164Chapter 13 Review College Entrance Test Preparation610–13TTK CD: ResourcesMathardy: Ch. 13Cumulative Review165Chapter 13 TestChapter 14: Conic Sections and Quadratic Systems16614.1 Circles614–20Math History: Carl JacobiBible Integration: Bible, Math, and ArtBiblical Worldview Connection; modeling mathematically both celestial and terrestrial motionGod commanded art to be used in the temple, and mathematics is useful in the creation of art*16714.2 Parabolas622–26Practice with Circles and Parabolas168Technology Corner Math in History—John Wallis621, 649Quiz 1 (14.1–14.2)16914.3 Ellipses627–33Handout: Derivation of the Equation of an EllipsePractice with EllipsesTTK CD: Visuals17014.4 Hyperbolas633–39Handout: Derivation of the Equation of a HyperbolaPractice with HyperbolasTTK CD: Visuals17114.3–14.4 reviewQuiz 2 (14.3–14.4)17214.5 Identifying Conics639–44Graphing Calculator: Graphing Conic Sections17314.6 Systems with Quadratic Relations644–48Graphing Calculator: Solving Quadratic Systems17414.5–14.6 reviewQuiz 3 (14.5–14.6)175Dominion Modeling650–51the infinite power and wisdom of God revealed from observation of the heavensworshiping the Creator and not the objects of His creationrecognizing an individual’s value in God’s sight176Chapter 14 Review College Entrance Test Preparation652–54Mathardy: Ch. 14 Cumulative Review177Chapter 14 Test178Review for Final Exam179Review for Final Exam180Final Exam (Chapters 8–14) ................
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