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- 1.a Number Systems
Natural numbers, integers, rationals, and irrationals as subsets of the real numbers.
These are Prerequisite topics and will be reinforced throughout.
1.b Functions
Day 1: Text § 1.2, p. 75, Exercises # 11, 12, 19-39 odd, 40, 43, 46- 1.c Linear Functions and their Graphs
Day 2: Text § 1.3, p. 91 Exercises # 9-17 odd, 23-41 odd, 61-64 all, 76- 1.d Piecewise-Defined Functions
Day 3: Text § 1.5, p. 117 Exercises # 41-46 all AND "Piecewise Defined Functions Packet"
Day 4: Supplemental packet: "Staircase Functions."
Day 5: QUIZ (on all material to date, except "Staircase Functions")- 1.e Quadratic Functions
Day 6: Text § 2.2, p. 155-156 Exercises # 3-15 (multiples of 3), 16, 21, 23
Day 7: Text § 2.2, p. 156 Exercises # 33, 39, 45, 47, 51, 53, 54, 65, 68- Portfolio Project - Investigating the Quadratic Function
Pacing = 3 days … we will do this Portfolio Project together to demonstrate the style of work you will be expected to do independently on all subsequent portfolio assignments.- 1.f Solving Absolute Value and Radical Equations and Inequalities
Day 11: Text § 2.3, p. 167 Exercises # 1-13 odd, p. 168 # 29-45 odd- 1.g Function Compositions
Day 12: Text § 2.4, p. 179-180 Exercises # 1-9 odd, 15-35 odd, 39, 40
Day 13: QUIZ (on § 2.2-2.4)- 1.h Shifting and Reflection of Graphs
Day 14: Text § 2.6, p. 197-198 Exercises # 1-15 odd, 25-31 odd
Day 15: Text § 2.6, p. 198 Exercises # 33-37 odd, 51-57 odd- 1.i Function Inverses
Day 16: Text § 2.7, p. 204-205 Exercises # 1-7 odd, 17-23 odd
Day 17: TEST (on all material to date)
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- 2.a Quadratic Functions
Day 1: Text § 3.1, p. 220-223 Exercises # 3, 6, 12-54 (multiples of 3), 61, 65, 72, 73- 2.b Higher Degree Polynomials
Day 2: Text § 3.2, p. 233-235 Exercises # 3-27 (multiples of 3), 35-40 all, 45-57 (multiples of 3), 65, 69- 2.c The Binomial Theorem
Day 3: Supplemental packet: "Pascal's Triangle and the Binomial Expansion Theorem."- 2.d Find Real Zeros of Polynomial Function
Day 4: Text § 3.3, p. 246 Exercises # 3-18 (multiples of 3), 31, 33, 36
Day 5: Rational Zeros Test: Text § 3.4, p. 260 Exercises # 31-47 odd
Day 6: QUIZ - § 3.2-3.3- 2.e Complex Numbers
Day 7: Text § 3.5, p. 268 Exercises # 3-27 (mult. of 3), 39-48 (multiples of 3), 55, 57- 2.f Fundamental Theorem of Algebra
Day 8: Text § 3.6, p. 276 Exercises # 13-31 odd- 2.g Solving Non-linear Inequalities
Day 9: Supplemental packet: "Solving Non-Linear Inequalities"- Day 10: TEST
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- 3.a Exponential Functions
HANDOUTS: Notes - Properties of Exponential & Logarithmic Functions
Day 1: Text § 4.1, p. 294 Exercises # 1-24 odd
Day 2: Text § 4.1, p. 294 Exercises # 25-45 odd, 46
Day 3: Text § 4.1, p. 295 Exercises # 49-54 ALL, 57, 58- 3.b Logarithmic Functions
HANDOUTS: Graphing Exponential and Logarithmic Functions; Notes - Logarithm functions are defined only... [Domain of Log Functions]
Day 4: Text § 4.2, p. 307 Exercises # 1-30 ALL
Day 5: Text § 4.2, p. 308 Exercises # 31-49 odd
Day 6: QUIZ - § 4.1-2- 3.c Solve Exponential and Logarithmic Equations & Properties of Exponents and Logarithms
Day 7: Text § 4.3, p. 316 Exercises # 1-23 odd
Day 8: Text § 4.3, p. 317 Exercises # 25-61 odd- 3.d Text § 4.4 More Equation Solving and Applications
Day 9: Text § 4.4, p. 327 Exercises # 1-25 odd
Day 10: Text § 4.4, p. 327 Exercises # 27-47 odd, 48, & 49
Day 11: WORKSHEET Packet "Exponential Growth and Decay"
Day 12: QUIZ - § 4.3-4- 3.e Interest and Annuities
Day 13: Text § 4.5, p. 340 Exercises # 1-8 all, 9-15 odd
Day 14: Text § 4.5, p. 340 Exercises # 17, 18, 19, 24, 28, 29, 30, 36- Day 15: Test - Chapter 4
- Portfolio Project - Population Growth - Type III
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- 4.a Rational Functions and Asymptotes
Day 1: HANDOUT: Rational Expressions (Review)
Day 2: HANDOUT: Exploration § 5.1A - Vertical Asymptotes
Day 3: HANDOUT: Exploration § 5.1B - Horizontal Asymptotes
Also: Text § 5.1, p. 355 # 11-18 ALL
Day 4: Text § 5.1, p.356 #19-39 odd- 4.b Graphs of Rational Functions, n < or = m
Notes: Basics of Rational Function Graphs
Day 5: Text § 5.2, p. 363, # 5-12 ALL- 4.b Graphs of Rational Functions, n > m
Day 6: Text § 5.3, p. 371, # 1, 2, 3-9 odd, 19-25 odd
Day 7: Text § 5.3, p. 373, # 32-35 ALL- 4.c Solving Rational Equations
Day 8: Text § 5.4, p.380, # 1-13 odd- 4.d Partial Fractions
Day 9: Text § 5.5, p. 387, # 1-8 ALL
Day 10: TEST- MIDYEAR EXAM
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- 5.a Radians and Degrees, Length of an arc, area of a sector
Day 1: § 6.1, p. 399 # 1-32 all
Day 2: § 6.1, p. 399 # 33-60 all, 61, 66, 88, 89
Day 3: QUIZ - § 6.1- 5.b The Unit Circle & Right Triangle Trigonometry
HANDOUTS: Fundamental Trigonometric Identities, Given a fixed angle, Memorizing the Special Angle Ratios
Day 4: § 6.2, p. 412 # 1-17 odd
Day 5: § 6.2, p. 412 # 19-57 odd
Day 6: § 6.2, p. 412 # 67-79 odd, 81, 85, 86- Day 7 & 8: Portfolio Project - Investigating the Graphs of Sine Functions
Pacing - Up to two days to work on portfolio in class.- QUIZ: Unit Circle # 1 - No Calculator allowed [Brief quiz … approx. 20 minutes]
- 5.c Trigonometric Function of Any Angle
Day 9: § 6.3, p. 424 # 3-12 (by 3s), 17-27 odd
Day 10: § 6.3, p. 425 # 35-47 odd
Day 11: § 6.3, p. 425 # 49-67,73 odd
HANDOUT: Graphing Sin(x) and Unit Circle in Parametric Mode
QUIZ: Unit Circle # 2 - No Calculator allowed [Brief quiz … approx. 20 minutes]- Day 12: QUIZ § 6.2-6.3
- 5.d Graphs of Trigonometric Functions
Day 13: § 6.4, p. 438 # 1-15 odd
HANDOUT: Properties of Trig Functions
Day 14: § 6.4, p. 439 # 17-31 odd
Day 15: § 6.4, p. 439 # 33-39 odd, 45-53 odd
Day 16: WORKSHEET: Tides & Sinusoids
Day 17: EXPLORATION: Sinusoidal Curves, a Pendulum, and the CBR- 5.e Graphs of Other Trigonometric Functions
Day 18: § 6.5, p. 448 # 5-11 odd, 13-16 all
Day 19: § 6.5, p. 448 # 17-31 odd, 39-43 odd- Day 20: QUIZ: § 6.4-6.5
- Day 21: TEST: "Mid-Chapter 6" § 6.1-6.5
5.f Advanced Trigonometric Functions
Day 22: § 6.6, p. 456 # 7-11 odd, 23-26 all
Day 23: § 6.6, p. 456 # 34-42 even (with WinPlot software)- 5.g Inverse Trigonometric Functions
Day 24: § 6.7, p. 465 # 1-22 all
Day 25: § 6.7, p. 465 # 23-40 all
Day 26: § 6.7, p. 466 # 41-46 all, 49- 5.h Applications of Trigonometric Functions
Day 27: § 6.8, p. 473 # 1, 3, 5, 6, & 8 and § 6.8 WORKSHEET: Applications of Trigonometric Motion;
HANDOUT: Misleading Graphs [Sin (Ln x)]- Day 28: TEST: Chapter 6: § 6.1-6.8
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- 6.a The Use of Fundamental Identities
Day 1: § 7.1, p. 487 # 1-23 odd
Day 2: § 7.1, p. 488 # 25-43 odd- 6.b Confirming Trigonometric Identities
Day 3 & 4: § 7.2, p. 493 # 1, 3, 8-16 even, 28, 30
Day 5: QUIZ: § 7.1-7.2- 6.c Solving Trigonometric Equations
Day 6: § 7.3, p. 502 # 1-17 odd
Day 7: § 7.3, p. 502 # 19, 21, 25, 27, 33-39 odd
Day 8: § 7.3, p. 502 # 43-49 odd, 50, 53- 6.d Double-Angle Identities
Day 9: § 7.5, p. 518 # 5, 7, 9, 11, 15, 23, 27- 6.e Solving Triangles using the Law of Sines
Day 10: § 8.1, p. 531 # 1-11 odd
Day 11: § 8.1, p. 531 # 13-21 odd, 37- 6.f Solving Triangles using the Law of Cosines
Day 12: § 8.2, p. 541 # 1-11 odd
Day 13: § 8.2, p. 541 # 17, 19, 35- Day 14: QUIZ: § 8.1-8.2
- Day 15: TEST: "Analytic Trigonometry" § 7.1, 2, 3, 5, § 8.1-8.2
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- Day 1: § 8.3, p. 552 # 1-19 odd
Day 2: Vectors WORKSHEET #1: Adding and Subtracting Vectors
Day 3: § 8.3, p. 552 # 21-33 odd
Day 4: § 8.3, p. 552 # 37, 47, 48, WORKSHEET: Flight Applications
Day 5: WORKSHEET: Vectors - IB Style Problems
Day 6: WORKSHEET: Dot Product of Two Vectors and Finding Angles Between Two Vectors
Day 7: PORTFOLIO: Equations of Lines in Vector Form [Due date: 5 school days after start of project.]
Day 8: QUIZ: Vectors
Day 9: REVIEW: Solving Systems of Equations
Day 10: [After Portfolio] WORKSHEET: Vector Representation of Lines
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Day 1: [NOTES: Probability Notes] WORKSHEET-Probability-1 (Simple Probabilities); WORKSHEET-Probability-2 (Probability, Set Language, and Venn Diagrams)
Day 2: WORKSHEET -Probability-3 (Cumulative Frequency and Probability with
Venn Diagrams)
Day 3: Probability, Steroid Testing, & Baseball: A Conditional Probability Exercise;
§ 11.5 (Combinatorics: Combinations and Permutations), p. 742 # 1-29 odd; WORKSHEET: Pascal's Triangle & Probability
Day 4: WORKSHEET -Probability-4 (Conditional Probability)
Day 5: NOTES: [Displaying Data Notes; Displaying Data Notes-Descriptive Stats & the TI83, WORKSHEET - Normal Distribution]; WORKSHEET-Probability-5-Calculating Standard Deviation and other Measures of Spread (including Cumulative Frequency)
Day 6: (1) Use data table 11.7 from your text (p. 767) to create a circle graph of the monies spent by the US federal government during fiscal year 1993. (2) Use data table 11.23 from your text (p. 778) to find the following information about the populations of South American nations (use only the LAST column and present your answers with 3-significant figure accuracy): mean; standard deviation (sx); 5-number summary (min, Q1, med, Q3, and max). Also, create a modified box-and-whisker plot of the data. Name any countries found to be "outliers."
Day 7: WORKSHEET: Cumulative Frequency for IB Exams
To be assigned at start of senior year: PORTFOLIO: Transforming Data [Due one week after start of project.]
Day 8: TEST
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- 9.a Sequences
Day 1: WORKSHEET: Arithmetic Series
HANDOUT: Evaluating and Graphing Sequences on the TI83- 9.b Series & Summation Notation
Day 2: § 11.2, p. 716 # 1-19 odd
Day 3: § 11.2, p. 716 # 29-32 ALL, 35, & 36- 9.c Mathematical Induction
Day 5: §11.3 WORKSHEET - Using Summation Formulas & WORKSHEET: Summation Formulas - Quick Study, § 11.3, p. 726 # 31-34 ALL- HANDOUTS: §11.3 Mathematical Induction; Summation Proofs Notes; Induction with the Triangle Inequality
FINAL EXAM.
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