Technology Corner 12 1.9 Absolute Value Inequalities 45–49 Practice with Linear Equations and Inequalities Enrichment: Graphs of Absolute Value Inequalities 13 Dominion Modeling 50 Quiz 5 (1.8–1.9) God’s command to have dominion over the earth* 14 Chapter 1 Review College Entrance Test Preparation 51–53 Mathardy: Ch. 1 15 Chapter 1 Test Chapter 2: Linear Relations 16 2.1 Relations and Functions Math in 54–62 Bible Integration: Bible, Math, and Logic TTK CD: Visuals Biblical Worldview Connection; using mathematics to help meet human needs and manage natural resources diligently pursuing God-given gifts* the use of logic by Christ and Paul* 17 2.2 Graphs of Linear Equations 63–68 Quiz 1 (2.1) Graphing Calculator: Graphing Linear Functions from Equations TTK CD: Visuals speaking truth* abstaining from deceiving others* 18 2.3 Writing Linear Equations 69–74 Appendix G, Excerpts from Bible Numerics Practice: Linear Functions Bible Integration: Reflecting on Allis’s Paper “Excerpts from Bible Numerics” TTK CD: Visuals and Resources diligent planning 19 20 2.4 Modeling Linear Data Technology Corner 74–81 Appendix E, Linear Regression on the TI-841 Quiz 2 (2.2–2.3) Graphing Calculator: Linear Regressions TTK CD: Resources the world’s hatred for Christ* the broad way to destruction* God’s command and help for evangelism* 21 22 2.5 Special Functions 82–87 TTK CD: Resources wise men lay up knowledge 23 2.6 Graphing Inequalities 88–92 Appendix F, Study Skills (During Class) Quiz 3 (2.4–2.5)
37 Chapter 3 Test Chapter 4: Matrices 38 4.1 Organizing Data with Matrices 144–50 Bible Integration: Bible, Math, and Grammar TTK CD: Visuals Biblical Worldview Connection; communicating truth because our God is a God of truth rejoicing in the truth* grammar aids in understanding* 39 Math in Kepler 4.2 Elementary Matrix Operations 150–56 Graphing Calculator: Matrix Addition and Subtraction God and His power clearly revealed by creation* 40 4.3 Multiplying Matrices 156–61 Quiz 1 (4.1–4.2) Practice: Matrix Products TTK CD: Visuals and Resources 41 4.4 Determinants and Cramer’s Rule 162–67 Graphing Calculator: Evaluating the Determinant of a Matrix Graphing Calculator: Solving Systems of Equations by Cramer’s Rule 42 4.3–4.4 review Quiz 2 (4.3–4.4) 43 4.5 Inverse Matrices and Solving Systems Technology Corner 168–73 Graphing Calculator: Inverse of a Matrix TTK CD: Visuals 44 4.6 Matrices and Transformations 173–79 45 Dominion Modeling 180–81 Quiz 3 (4.5–4.6) communicating honestly 46 Chapter 4 Review College Entrance Test Preparation 182–85 Mathardy: Ch. 4 47 Chapter 4 Test Chapter 5: Quadratic Equations 48 5.1 Multiplying Polynomials 186–92 Bible Integration: Bible, Math, and Science Biblical Worldview Connection; exhibiting Christlike concern for others by modeling motion for people’s protection God’s wisdom and power* the misuse of science* 49 5.2 Factoring Quadratic Polynomials 192–96 Practice: Factoring 50 5.3 Solving by 197–200 Math History: Niels Abel Adam’s dominion responsibility
66 6.4 Modeling with Quadratic Functions 251–58 Enrichment: Graphing Parabolas in Complex Space TTK CD: Resources applying math and technology when possible to use God-provided resources efficiently God supplies all our needs* 67 Technology Corner 6.3–6.4 Review 255 Quiz 2 (6.3–6.4) 68 6.5 Dividing Polynomials 258–62 69 6.6 Factoring Polynomials 262–66 Graphing Calculator: Finding Zeros of Polynomial Functions 70 6.5–6.6 review Quiz 3 (6.5–6.6) 71 6.7 Polynomial Equations Math in Viète 266–71 Enrichment: Modeling Functions being diligent and persevering* 72 6.8 Graphing Polynomial Functions 272–79 Practice with Polynomial Functions and Inequalities TTK CD: Resources 73 Dominion Modeling 280–81 Quiz 4 (6.7–6.8) demonstrating compassion to those in need our dominion responsibilities and God’s provisional promises* 74 Chapter 6 Review College Entrance Test Preparation 282–85 Mathardy: Ch. 6 75 Chapter 6 Test Chapter 7: Radicals and Exponents 76 7.1 Simplifying Radicals Technology Corner 286–92, 309 Bible Integration: Bible, Math, and History Biblical Worldview Connection; recognizing God’s goodness through modeling pendulum motion making knowledge easy through understanding* historical examples for our admonition* God precedes everything* 77 7.2 Rational Exponents 292–96 Remediation: The Marvel of Compound Interest 78 7.3 Sums and Differences 296–300 Appendix F, Study Skills (Test Preparation) Quiz 1 (7.1–7.2) 79 7.4 Products 300–303 80 Algebra Around the Math 7.5 Quotients 304–8 Quiz 2 (7.3–7.4) Practice with Radical and Exponential Expressions 81 7.6 Radical and 309–14 Math History: William studying the Bible to prevent swaying
Napier 8.8 Natural Logarithms incorruptible* 100 Dominion Modeling 377–78 Quiz 4 (8.7–8.8) Enrichment: Modeling Sound TTK CD: Resources our bodies belong to God caring for the needs of others 101 Chapter 8 Review College Entrance Test Preparation 379–81 Mathardy: Ch. 8 102 Chapter 8 Test Chapter 9: Rational Expressions and Equations 103 9.1 Simplifying Rational Expressions 382–87 Biblical Worldview Connection; revealing God’s image through creating beautiful music 104 9.2 Multiplying and Dividing Rational Expressions 388–91 doing all to the glory of God* 105 9.3 Adding and Subtracting Rational Expressions 392–97 Quiz 1 (9.1–9.2) Practice with Rational Expressions 106 9.4 Solving Rational Equations 398–403 Practice with Rational Equations TTK CD: Resources working honorably for the Lord* 107 9.3–9.4 review Quiz 2 (9.3–9.4) 108 9.5 Graphing Reciprocal Functions 405–11 109 9.6 Graphing Rational Functions 411–17 Practice with Rational Functions Graphing Calculator: Graphing Rational Functions 110 Technology Corner 9.5–9.6 review 418 Quiz 3 (9.5–9.6) Enrichment: Pushing Rational Functions to Their Limits 111 9.7 Variations 419–24 112 Algebra Around the Math Dominion Modeling 404, 425–26 Quiz 4 (9.7) God’s will* biblical connections to music biblical music, both vocal and instrumental* created for God’s glory* 113 Chapter 9 Review College Entrance Test Preparation 427–29 Mathardy: Ch. 9 114 Chapter 9 Test
Chapter 10: Trigonometry 115 10.1 Right Triangle Trigonometry 430–37 Bible Integration: Bible, Math, and Geography Biblical Worldview Connection; understanding and using God-given resources God saw His creation as good* Earth’s geography changed by the Flood* 116 10.2 Solving Right Triangles 438–44 Practice with Triangles and Trigonometry Math History: Hipparchus of Rhodes TTK CD: Visuals 117 10.3 Trigonometry in the Coordinate Plane 445–49 Quiz 1 (10.1–10.2) TTK CD: Visuals 118 10.4 Radians and the Unit Circle Technology Corner 450–55 TTK CD: Visuals and Resources 119 10.3–10.4 review Quiz 2 (10.3–10.4) 120 10.5 Graphs of Sine and Cosine Functions Math in Euler 456–63 Graphing Calculator: Graphing the Sine Function Practice with Trigonometric Functions Euler’s identity reflects the order and beauty in God’s creation 121 10.6 Graphs of Other Trigonometric Functions 464–69 122 10.5–10.6 review Quiz 3 (10.5–10.6) 123 10.7 Translating Trigonometric Functions 469–74 124 10.8 Inverse Trigonometric Functions 475–80 Enrichment: Inverse Trigonometric Functions Practice with Inverse Trigonometric Functions 125 Dominion Modeling 481–82 Quiz 4 (10.7–10.8) man’s limited ability to model God’s creation 126 Chapter 10 Review College Entrance Test Preparation 483–85 Mathardy: Ch. 10 Cumulative Review 127 Chapter 10 Test Chapter 11: Trigonometric Identities 128 11.1 Law of Sines 486–92 TTK CD: Visuals Biblical Worldview Connection; developing models of the earth’s surface to better use and care for
Induction Bible Bible Integration: Reflecting on Keister’s Paper “Math and the Bible” Scripture* mathematical properties and logic in the Bible* 148 12.5–12.6 review Quiz 3 (12.5–12.6) Enrichment: Area Under a Curve 149 Dominion Modeling 553–54 biblical principles of finance 150 Chapter 12 Review College Entrance Test Preparation 555–57 Mathardy: Ch. 12 Cumulative Review 151 Chapter 12 Test Chapter 13: Probability and Statistics 152 13.1 Counting Principles 558–65 Practice with Counting Problems Biblical Worldview Connection; avoiding unnecessary risks and protecting lives and jobs 153 13.2 Basic Probability 565–71 Enrichment: Experimenting with Theoretical Probabilities TTK CD: Resources God establishes all things 154 13.1–13.2 review Quiz 1 (13.1–13.2) 155 13.3 Compound Events 571–77 Appendix M, Considering Cards Bible Integration: Reflecting on a Biblical View of Gambling TTK CD: Visuals greed condemned gambling ensnares being controlled by the Holy Spirit casting lots examined in both Old and New Testaments* recognizing that everything belongs to God* 156 13.4 The Binomial Probability Distribution 577–82 Bible Integration: Bible, Math, and Foreign Language language comes from God* mathematics is helpful in planning for Bible translations; having the Scriptures in hand will help with the spread of the gospel* 157 Algebra Around the Math 13.3–13.4 review 583 Quiz 2 (13.3–13.4) 158 13.5 Describing Data 584–89 TTK CD: Resources 159 13.6 Organizing Data Technology Corner 590–96 Enrichment: Simpson’s Paradox—How More Becomes Less TTK CD: Resources 160 13.5–13.6 review Quiz 3 (13.5–13.6) 161 13.7 The Normal Distribution 597–601 Practice with Probability and Statistics TTK CD: Resources recognizing that many characteristics of creation can be modeled by a normal distribution