Algebra 1, 3rd ed. Lesson Plan Overview



Algebra 1 Standard Lesson Plan OverviewThis Standard Lesson Plan allocates 82 days for each semester. Test Packet, supplementary material to Student Text and Teacher’s EditionStudent Activities, supplementary material to Student Text and Teacher’s EditionTeacher’s Toolkit CD, included in Teacher’s Edition* Bible Integration topics covered in the Teacher’s Edition or Student Activities DayTopicPagesSupport MaterialsBible Integration*Chapter 1: Real Number Operations1Introductionviii–ixthe complexity of God’s created universethe benefits of diligencethe Dominion Mandate21.1 Sets of Numbers1–6Dominion Mandate: God’s Command to Humanitythe underlying order in apparent chaos illustrated by fractals*31.2 Number Lines, Opposites, and Absolute Values7–11Prime NumbersGod’s infinite existence4Sequences—Evens, Odds, and Multiples12Quiz 1 (1.1–1.2)pattern recognition in God’s creation51.3 Adding Rational Numbers13–1761.4 Subtracting Rational NumbersCareers in Math—Mathematician18–22Math History: Modern Symbols Introduced Before 1600glorifying God and demonstrating love for others through our occupations71.5 Multiplying Rational Numbers22–27Quiz 2 (1.3–1.4)Dominion Modeling: Constructing a 3D FractalProperties of Set Operationsfractals can model the intricate design of God’s creation and create beautiful art*81.6 Dividing Rational Numbers28–33Operations with Rational Numbers91.7 Exponents33–37Quiz 3 (1.5–1.6)101.8 Order of OperationsTechnology Corner38–41Using Technology: Introduction to the TI-84+Order of Operationsbetter understanding God’s creation and implementing solutions to problems11Chapter 1 Review42–43Quiz 4 (1.7–1.8)Mathardy: Ch. 1Chapter 1 ReviewCumulative Review 112Chapter 1 TestChapter 2: Variables and Equations132.1 Variables and Algebraic Expressions44–50Dominion Mandate: Constants and Variablesfulfilling God’s command to be wise stewards of His resourcestrusting in God’s unchanging character*142.2 Evaluating Algebraic ExpressionsTechnology Corner51–56152.3 Using the Distributive Property56–61Quiz 1 (2.1–2.2)Using the Distributive PropertyAlgebraic Expressions and Translation162.1–2.3 reviewMath in History—Isaac Newton62the danger of placing human reasoning above scriptural revelation172.4 Solving One-Step Equations63–68Math History: Al-KhwarizmiEquations 1dealing justly in our interactions with others*182.5 Solving Two-Step Equations68–74Quiz 2 (2.3–2.4)the importance of planning*192.6 Simplifying Equations74–78Inverse Operations20Sequences—Arithmetic Sequences79Quiz 3 (2.5–2.6)212.7 Solving Multi-Step Equations80–84Using Technology: Editing222.8 Eliminating Fractions and Decimals84–89Equations 2GCF and LCM2324Chapter 2 Review90–91Quiz 4 (2.7–2.8)Mathardy: Ch. 2Chapter 2 ReviewCumulative Review 225Chapter 2 TestChapter 3: Using Equations263.1 Solving Literal Equations92–98Math History: FibonacciLiteral Equationswise management of God-given resources27283.2 Ratios and Proportions98–103Dominion Mandate: Numbers in CreationUnit Prices and Best Buysdiscovering occurrences of the Fibonacci sequence and the golden ratio in nature*29Sequences—Fibonacci and Golden Ratio SequencesTechnology Corner104–5Quiz 1 (3.1–3.2)praising God for the beauty and complexity of creation303.3 Similar Figures and Scale Models105–11Scales for Maps and Drawings313.4 The Percent Equation112–16323.5 Percent Change and ErrorCareers in Math—Actuary117–21Quiz 2 (3.3–3.4)Ratios, Rates, Proportions, and Percentssubmitting to whatever God willsthe wisdom of planningserving God as an actuary333.6 Money122–28Using Technology: Math and Catalog Menusbiblical financial principles34353.7 Motion128–34Quiz 3 (3.5–3.6)363.8 Mixtures135–39Applied Problems373.6–3.8 reviewQuiz 4 (3.7–3.8)38Chapter 3 Review140–41Mathardy: Ch. 3Chapter 3 ReviewCumulative Review 339Chapter 3 TestChapter 4: Solving Inequalities404.1 Inequalities142–48Dominion Mandate: Moneyrecognizing the greatness of the one true Godbiblical financial principles*414.2 Properties of Inequality148–52Math History: Modern Symbols Introduced After 1600Properties of InequalityGod’s interest in everyday things*424.3 Solving Inequalities153–56Quiz 1 (4.1–4.2)Solving Inequalitiestrue wisdom based on the fear of the Lord43Sequences—Arithmetic Sums157Quiz 2 (4.3)444.4 Conjunctions158–62God’s special design for ocean speciesJesus’s teachings on wise investments454.5 Disjunctions163–67Boolean AlgebraCompound Inequalitiesbeing faithful with God’s resources464.4–4.5 reviewMath in History—The Bernoulli Family168Quiz 3 (4.4–4.5)warnings against envy474.6 Absolute Value Equations169–72484.7 Absolute Value Inequalities173–76Absolute ValuesUsing Technology: Graphing Inequalities494.6–4.7 reviewTechnology Corner177Quiz 4 (4.6–4.7)50Chapter 4 Review178–79Mathardy: Ch. 4Chapter 4 ReviewCumulative Review 451Chapter 4 TestChapter 5: Relations and Functions525.1 Points in the Coordinate Plane180–87Dominion Mandate: Omnipresent, Omniscient Godexercising effective dominion through the ability to describe exact locations on the earththe effects of God’s omniscience and omnipresence*535.2 Relations and Functions187–92545.3 Graphs of Relations and FunctionsTechnology Corner193–99Quiz 1 (5.1–5.2)Math History: OresmeUsing Technology: Angle MenuRelations and Functions555.4 Using GraphsCareers in Math—Market Research Analyst200–208Cobweb Diagramsmodeling Christthe influence of Christian professionals in ethical decisions of businessesthe dangers of extrapolation*565.5 Function Rules209–15Quiz 2 (5.3–5.4)Writing Function Rules575.6 Direct and Inverse Variations215–20Quiz 3 (5.5)Direct and Inverse Variation SudokuSpaghetti Bridge StrengthGod’s consistency and dependability seen in universal laws of nature58Sequences—Geometric Sequences221595.7 Graphing Absolute Value Functions222–26605.6–5.7 reviewQuiz 4 (5.6–5.7)61Chapter 5 Review227–29Mathardy: Ch. 5Chapter 5 ReviewCumulative Review 562Chapter 5 TestChapter 6: Linear Functions636.1 Graphing LinesMath in History—René Descartes230–37Dominion Mandate: God Is Greater Thanopportunities for serving the Lord in many “secular” occupationsthe danger of using human reason instead of God’s Word as the test of truthrecognizing equations, inequalities, and functions in Scripture*646.2 Slope238–44Math History: Eudoxus656.3 Slope-Intercept Form of a Line245–49Quiz 1 (6.1–6.2)Graphs of LinesDirect Variation and Linear Equationsthe math behind personal safety666.4 Writing Linear Equations250–55676.3–6.4 reviewQuiz 2 (6.3–6.4)686.5 Parallel and Perpendicular Lines256–61Forms of Linear Equationsthe math behind benevolent construction projects69Sequences—Converging and Diverging Sequences262Quiz 3 (6.5)706.6 Trend Lines and CorrelationTechnology Corner263–68Using Technology: Regression LinesUsing Correlation and Lines of Best Fitcorrelation versus causation*716.7 Graphing Linear Inequalities269–73Linear Equations and Inequalitiesdemonstrating the love of God by using abilities to help others72Chapter 6 Review274–75Quiz 4 (6.6–6.7)Mathardy: Ch. 6Chapter 6 ReviewCumulative Review 673Chapter 6 TestChapter 7A: Linear Systems747.1 Graphing Systems of EquationsTechnology Corner276–83Dominion Mandate: Jesus Christ, the MessiahGraphing SystemsBreaking Evenapplying mathematics in fulfilling the Great Commissionpointing to the deity of Jesus Christ through the fulfillment of the many messianic propheciescontrasting financial profit and greed*757.2 Solving Simple Systems by Substitution284–87767.3 Solving Advanced Systems by Substitution288–93Quiz 1 (7.1–7.2)Solving Systems by SubstitutionSubstitution Method Strategies77Sequences—Limit of a Sequence294787.4 Solving Systems by Elimination295–300Math History: Zhu ShijieSolving Systems by Elimination797.3–7.4 reviewQuiz 2 (7.3–7.4)80Review for Final Exam81Review for Final Exam82Final Exam (Chapters 1–6)Chapter 7B: Linear Systems837.5 Special SystemsCareers in Math—Computer Programmer/Software Engineer300–307Three-Dimensional Systemseffective management of God-given resources through computer-related careers847.6 Motion Problems308–12857.5–7.6 reviewQuiz 3 (7.5–7.6)867.7 Mixture Problems313–18Word Problems877.8 Solving Systems of Inequalities318–23Using Technology: Graphing Systems of Linear Inequalities887.7–7.8 reviewQuiz 4 (7.7–7.8)89Chapter 7 Review324–25Mathardy: Ch. 7Chapter 7 ReviewCumulative Review 790Chapter 7 TestChapter 8: Exponents918.1 Products and Powers326–32Math History: EinsteinThe Binary Number Systemusing the Internet to serve God and others in loveapplying biblical principles to new situations928.2 QuotientsMath in History—Karl Friedrich Gauss333–38discerning good from evil938.3 Scientific Notation338–43Quiz 1 (8.1–8.2)Scientific NotationLarge Numberswise use of the Internet948.4 Translating Power Functions344–49Translating Power Functions958.5 Exponential FunctionsTechnology Corner350–56Quiz 2 (8.3–8.4)Using Technology: Families of FunctionsExponential Functionsusing technology to manage God’s creation while realizing that Christ alone gives power for success968.6 Exponential Growth and Decay357–64Dominion Mandate: Exponential Decaysharing our faith and compassion over the Internetbenefiting others through the use of mathematical models*97Sequences—Infinite Geometric Sums365Quiz 3 (8.5–8.6)98Chapter 8 Review366–67Mathardy: Ch. 8Chapter 8 ReviewCumulative Review 899Chapter 8 TestChapter 9: Polynomials1009.1 Classifying and Evaluating Polynomials368–73Velocityproviding for physical and spiritual needs through the use of mathematical models101Careers in Math—Engineer9.2 Adding and Subtracting Polynomials374–79Math History: Gradual Development of Algebraic Thoughtfulfilling the Dominion Mandate through product design engineering1029.3 Multiplying PolynomialsTechnology Corner379–84Quiz 1 (9.1–9.2)Using Technology: Checking Polynomial OperationsPolynomialsrecognizing responsibility in proper management of wildlife and natural resources1039.4 Multiplying Binomials Using FOIL385–88104Sequences—Sums of Perfect Squares and Cubes389Quiz 2 (9.3–9.4)1059.5 Special Products390–93Multiplying Polynomialsevangelizing the earth’s increasing population1069.6 Dividing Polynomials394–99Dividing PolynomialsOperations and Propertiesdemonstrating increased opportunities to show Christ’s love by providing for the needy through applied mathematics1079.6 reviewQuiz 3 (9.5–9.6)Dominion Mandate: Biblical Multiplication and Divisionexamining occurrences of multiplication and division in Scripture*108Chapter 9 Review400–401Mathardy: Ch. 9Chapter 9 ReviewCumulative Review 9109Chapter 9 TestChapter 10: Factoring Polynomials11010.1 Factoring Common Monomials402–7Math History: DiophantusAppendix J: UnFOILing: Roots and Factorsfulfilling the Dominion Mandate by harnessing God-given resources and lessening the suffering resulting from natural disasters111Sequences—Factorial Sequences40811210.2 Factoring Trinomials of the Form x2?+?bx?+?c409–13Common Factors and Factoring TrinomialsGod‘s control of our climate11310.1–10.2 reviewMath in History—Grace Hopper414Quiz 1 (10.1–10.2)developing our God-given talents into a life of service and fruitfulness11410.3 Factoring Trinomials of the Form ax2?+?bx?+?c415–19Dominion Mandate: Climate Changeconsidering the wondrous works of God by investigation of weather phenomena*11510.4 Special PatternsTechnology Corner420–24Factoring Trinomials and Special PatternsFactoring Differencesrecognizing that consistency and common patterns of creation point to the Creator11610.5 Factoring Completely425–28Quiz 2 (10.3–10.4)Factoring CompletelyUsing Technology: Factor CheckFactor Formula11710.5 reviewQuiz 3 (10.5)118Chapter 10 Review429Mathardy: Ch. 10Chapter 10 ReviewCumulative Review 10119Chapter 10 TestChapter 11: Radicals12011.1 Expressing RootsTechnology Corner430–36Imaginary Numbers?recognizing value and purpose for life as being created in God’s image, which affects the choices we makeappreciating the beauty and order in nature as a reflection of our marvelous Creator*12111.2 Simplifying Radicals437–41Simplifying Radicalsrealizing God’s ultimate power in the gospel as we use technology to assist in the spread of the gospel12211.3 Multiplying Radicals441–45Quiz 1 (11.1–11.2)123Sequences—Summation (Sigma) Notation44612411.4 Dividing Radicals447–5212511.3–11.4 reviewQuiz 2 (11.3–11.4)12611.5 Adding and Subtracting Radicals453–56Operations with RadicalsGolden Ratios, Rectangles, and Spirals12711.6 The Pythagorean Theorem457–63Pythagorean TriplesMath History: PythagorasAppendix K: Society of the Pythagoreansusing Scripture to evaluate the beliefs of the Society of the Pythagoreans*12812911.7 Multiplying and Dividing Radical ExpressionsCareers in Math—Chemist/Chemical Engineer464–69Quiz 3 (11.5–11.6)Dominion Mandate: Transcendental Numbersharnessing the potential of God’s creation for His glory as a chemistrecognizing the coherence and beauty of mathematics as evidence of God’s existence*13011.8 Radical Equations470–75Radical Expressions and Equationsderiving greater enjoyment from and bringing greater praise to God through increased understanding of His creation13111.9 Radical Functions475–79Quiz 4 (11.7–11.8)Using Technology: Radical Functions132Chapter 11 Review480–81Quiz 5 (11.9)Mathardy: Ch. 11Chapter 11 ReviewCumulative Review 11133Chapter 11 TestChapter 12: Quadratic Functions13412.1 Solving Quadratic Equations by Factoring482–88Solving Quadratic Equations by Factoringseeing God’s faithfulness to us through consistency in His creation13512.2 Solving Quadratic Equations by Taking RootsTechnology CornerMath in History—John von Neumann489–94the complexity of the human brain and how it points to the intelligence and existence of God13612.3 Completing the Square495–98Quiz 1 (12.1–12.2)13712.4 Completing the Square with Leading Coefficients499–502Taking Roots and Completing the Square13812.3–12.4 review Quiz 2 (12.3–12.4)13912.5 The Quadratic Formula502–6The Quadratic Formula14012.6 More Quadratic Equations507–10Polynomial and Radical Equations14112.5–12.6 reviewQuiz 3 (12.5–12.6)14212.7 Quadratic Functions: f(x)?5?ax2?+?c511–15Math History: Apollonius14312.8 Quadratic Functions: f(x)?5?a(x?2?h)2?+k516–21Quadratic Functions, Optimization, and Estimation14412.7–12.8 reviewQuiz 4 (12.7–12.8)14512.9 Zeros of a Function522–26Using Technology: Solving Quadratic Equations by GraphingDominion Mandate: The Quadratic Function in Actionthe consistency of physical phenomena resulting from God’s providential care of His creationfulfilling the Dominion Mandate through the modeling of physical phenomena with quadratic functions*146Sequences—Quadratic Arithmetic Sums527Quiz 5 (12.9)147Chapter 12 Review528–29Mathardy: Ch. 12Chapter 12 ReviewCumulative Review 12148Chapter 12 TestChapter 13: Rational Expressions14913.1 Simplifying Rational Expressions530–37Math History: Tartagliausing mathematical reasoning to effectively model the physical universe as a reflection of the Creator15013.2 Multiplying and Dividing Rational Expressions538–41reasoning based on the truth of God’s Word151Sequences—Harmonic Sequences542Quiz 1 (13.1–13.2)15213.3 Adding and Subtracting Expressions with Common Denominators543–46Dominion Mandate: When I Consider Thy Heavensletting the glorification of God be our motivation for the study of mathematics15313.4 Adding and Subtracting Expressions with Different Denominators547–51Explaining WhyGCF and LCM15413.5 Complex and Mixed Expressions552–56Quiz 2 (13.3–13.4)Operations with Rational Expressions15513.6 Solving Rational Equations556–60Using Technology: Solving Rational EquationsRational Equations15613.5–13.6 reviewQuiz 3 (13.5–13.6)15713.7 Applying Rational Equations560–66Application ProblemsElectrical Resistanceworking in a way that is pleasing to God158Careers in Math—Operations Research Analyst13.8 Graphing Rational FunctionsTechnology Corner567–74fulfilling the Dominion Mandate as an operations analyst by organizing complex processes to help others achieve their goals15913.7–13.8 reviewQuiz 4 (13.7–13.8)160Chapter 13 Review575–76Mathardy: Ch. 13Chapter 13 ReviewCumulative Review 13161Chapter 13 Test162Review for Final Exam163Review for Final Exam164Final Exam (Chapters 7–13) ................
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