HONORS PRE-CALCULUS 2016-2017 Course Syllabus Course Syllabus Instructor: Mr. Geoffray Estes Office Hours: M: 2:45 – 3:15 PM W: 2:45 – 3:45 PM F: 2:45 – 3:45 PM Planning: 2B and 3B Math Office: Room 418 E-mail: [email protected] Website: www.estesthemathteacher.com Text: Advanced Mathematics, Pre-Calculus with Discrete Mathematics and Data Analysis. Author: Richard G. Brown ISBN: 0-618-00729-6 School Phone: 540-433-2651 HHS Website: http://web.harrisonburg.k12.va.us/hhs Course Description A course that provides an in-depth study of advanced algebra topics, analytic geometry, trigonometry and function analysis, sequences and series, vector analysis and proof methods by mathematical induction. This course provides a more in-depth study of the Pre-Calculus topics than the Dual Enrolled Pre-Calculus or HS Pre-Calculus. HHS Honor Code Students at Harrisonburg High School are to assume the responsibility to ensure that all assignments completed and submitted are the original work of the student. Cheating, plagiarism, and fraud in any form are considered ethical violations and will not be tolerated. Students suspected of violating the honor code may be subject to consequences and disciplinary action.

Student Expectations The best way to learn Pre-Calculus is by developing the concepts that arise from the problems we will study. Thus the student is expected to assume the responsibility for learning with the instructor providing the guidance through problem presentation and discussion. The student is expected to do all assignments, which are due the day of the unit test. All assignments are indicated on the syllabus and must be done on notebook paper. There will be a daily quiz on the previous day’s assignment to check for understanding. The unit tests are indicated on the syllabus. At the end of the course the student will have to take a comprehensive final exam. Class Cell Phone Policy: Cell phones will only be out and visible if directed by the instructor for educational purposes. I consider this a professional courtesy and expectation. Evaluation Criteria Your grade will be calculated by the ratio of points earned to total points possible over the academic year. Point values are described below. If a student scores below an 80% on a quiz, they are expected to remediate and take a 2nd version. Homework: 20 pts. Per assignment Quiz: 100 points Tests: 100 points per day of the unit Final: 2000 points Grading Scale:

89.5 ≤ ≤ 100 79.5 ≤ < 89.5 69.5 ≤ < 79.5 59.5 ≤ < 69.5 0 ≤ < 59.5

(Please check my web site (http://www.estesthemathteacher.com) often for any updates to this list) Unit 1 - Sequences and Series

Unit 2 - Linear and Quadratic Functions

Day 1

Day 11

13-1 Arithmetic and Geometric Sequences Assignment: pg. 476, #’s 1, 5, 13, 17, 21, 25, 29, 33, 37, 43, 47, 49, 53, 55, 59, 61

1-1 Points and Lines Assignment: pg. 5, #'s 10, 11, 17, 20, 21, 25, 27 1-2 Slopes of Lines Assignment: pg. 11, #'s 13 – 27 odd

Day 2 13-2 Recursive Definitions Assignment: pg. 481, #’s 1, 5, 9-21 odd, 22 Day 3 13-3 Arithmetic and Geometric Series and Their Sums Assignment: pg. 482, #’s 25, 28, 31, 33 and pg. 489, #’s 1, 3, 7, 9, 11, 13, 17, 27, 29, 31 Day 4 13-4 Limits of Infinite Sequences Assignment: pg. 490, #’s 33, 37, 40, 42, 43 and pg. 496 #’s 1-33 odd (SKIP #'s 7, 17, 23, 25, 27) Day 5 13-5 Sums of Infinite Series Assignment: pg. 502, #’s 3, 9, 11, 17, 21, 29, 33, and 35 Day 6 13-6 Sigma Notation Assignment: pg. 508, #’s 1 – 37 odd (SKIP #'s 15, 19) Day 7 13-7 Mathematical Induction Assignment: pg. 513, #’s 1-11 odd Day 8 More Mathematical Induction Assignment: pg. 513, #’s 16, 19, 21, & 25

Day 12 1-3 Find Equations of Lines Assignment: pg. 16, #'s 1 – 19 odd, 21 – 23 (#24 extra credit due day of the test) 1-4 Linear Functions and Models (linear regressions) Assignment: pg. 22, #'s 1 – 23 odd Day 13 1-5 The Complex Numbers Assignment: pg. 28, #'s 1-45 odd Day 14 1-6 Solving Quadratic Equations Assignment: pg. 35, #'s 17 – 45 every other odd 1-7 Quadratic Functions and Their Graphs Assignment: pg. 41, #'s 3 – 33 multiples of 3, 35, 39 Day 15 1-8 Quadratic Models Assignment: pg. 45, #'s 1 – 17 odd Day 16 Review Day 17 Test Chapter 1 (500 point assessment) (Chapter 1 HW Assignments are due)

Unit 3 - Polynomial Functions Day 18 2-1 Polynomials Assignment: pg. 56, #'s 1-31 odd, 34, 35

Day 9 Review Day 19 Day 10 Test Chapter 13 (800-point assessment) (Chapter 13 HW Assignments are due)

2-2 Synthetic Division, The Remainder and Factor Theorems Assignment: pg. 61, #'s 1-25 odd

Day 20

Day 30

2-3 Graphing Polynomial Functions Assignment: pg. 66, #'s 1-39 every 3rd

4-3 Reflecting Graphs; Symmetry Assignment: pg. 136, #'s 1 – 41 odd

Day 21

Day 31

2-4 Finding Maximums and Minimums of Polynomial Functions Assignment: pg. 71, #'s 1-13 odd; and pg. 72, #'s 1-9 odd

4-4 Periodic Functions; Stretching and Translating Graphs Assignment: pg. 143, #'s 1 - 8 Day 32

Day 22 2-5 Using Technology to Approximate Roots of Polynomial Equations, Intermediate Value Theorem Assignment: pg. 78, #'s 1-17 odd

4-5 Inverse Functions Assignment: pg. 149, #'s 1 – 19 odd, and Assignment: pg. 144/, #'s 9 - 19 Day 33

Day 23 2-6 Solving Polynomial Equations by Factoring Assignment: pg. 83, #'s 1-21 odd, 29, 33, 35, 39

4-6 Functions in Two Variables Assignment: pg. 155, #'s 1 – 9 odd, 13 – 19 odd, and Assignment: pg. 150, #'s 21 – 31

Day 24

Day 34

2-7 General Results for Polynomial Equations Assignment: pg. 89, #'s 1, 5, 9, 13, 17, 21- 29 odd

4-7 Forming Functions from Verbal Descriptions Assignment: pg. 161, #'s 1 – 31 odd

Day 25 Review

Day 35 Come up for Air

Day 26 Test Chapter 2 (700 point assessment) (Chapter 2 HW Assignments are due)

Day 36 Review

Unit 4 - Inequalities, Properties of Functions Day 27

Day 37 Test Chapter 3 sections 1 & 2, Chpt. 4 (800-point assessment) (Chapter 3 and 4 HW assignments are due)

Unit 5 - Exponents and Logarithms

3-1 Linear & Absolute Value Inequalities Assignment: pg. 98, #'s 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 33, 34 3-2 Polynomial Inequalities in One Variable Assignment: pg. 103, #'s 1 – 43 odd

Day 38

Day 28

5-2 Growth & Decay: Rational Exponents Assignment: pg. 178, #'s 1 – 57 odd

4-1 Functions Assignment: pg. 122, #'s 1 – 17 odd, 22

5-1 Growth & Decay: Integral Exponents Assignment: pg. 173, #'s 1 – 45 odd, 46 – 49 Day 39

Day 40

Day 29

5-3 Exponential Functions Assignment: pg. 183, #'s 1 – 15

4-2 Operations on Functions Assignment: pg. 128, #'s 1 – 33 odd

Day 41 5-4 The Number e and the Function Assignment: pg. 189, #'s 1 – 5

Day 42 Wake up and smell what’s cooking Assignment: pg. 184, #'s 17 – 29, and Assignment: pg. 189, #'s 7 – 23 odd, 22

Day 53 6-6 Systems of Second-Degree Equations Assignment: pg. 241, #'s 17-31 odd, 20, and Assignment: pg. 244, #'s 1-23 odd

Day 43 5-5 Logarithmic Functions Assignment: pg. 194, #'s 1 – 51 odd Day 44 5-6 Laws of Logarithms Assignment: pg. 200, #'s 1 – 39 odd 5-7 Exponential Functions; Changing Bases Assignment: pg. 205, #'s 1 –23 odd

Day 54 6-7 A New Look at Conic Sections Assignment: pg. 245, #'s 25-31 odd, and Assignment: pg. 250, #'s 1-21 odd Day 55 Review Day 56 Test Chapter 6 (700 point assessment) (Chapter 6 HW problems are due)

Day 45 Whew! Assignment: pg. 202, #'s 41 – 51 odd, and Assignment: pg. 206, #'s 25 – 45 odd, 44 Day 46 Review Day 47 Test Chapter 5 (800 point assessment) (Chapter 5 HW assignments are due)

Unit 6 - Analytic Geometry Day 48 6-1 Coordinate Proofs Assignment: pg. 218, #'s 1 – 13 odd Day 49 6-2 Equations of Circles Assignment: pg. 219, #'s 14-18, and Assignment: pg. 222, #'s 1-35 odd Day 50 6-3 Ellipses Assignment: pg. 223, #'s 37-59 odd 48, and Assignment: pg. 228, #'s 1-23 odd

Unit 7 - Trigonometric Functions Part 1 of 4 Day 57 7-1 Measurement of Angles Assignment: pg. 261, #'s 1-33 odd 7-2 Sectors of Circles Assignment: pg. 264, #'s 1, 5, 9, 13, 15 – 17, 21, 23, 25 Day 58 7-3 The Sine and Cosine Functions Assignment: pg. 273, #'s 1 – 23 odd Day 59 7-4 Evaluation and Graphing Sine and Cosine Assignment: pg. 279, #'s 1 – 19 odd, and Assignment: pg. 273, #'s 29 - 43 Day 60 7-5 The Other Trigonometric Functions Assignment: pg. 285, #'s 3, 6, 11, 15, 17, 20, 21 – 27 odd, and Assignment: pg. 279, #'s 21 – 33 odd, 34

Day 51

Day 61

6-4 Hyperbolas Assignment: pg. 229, #'s 25-37 odd, 38-42, and Assignment: pg. 235, #'s 1-23 odd, 24

7-6 The Inverse Trigonometric Functions Assignment: pg.289, #'s 1 – 21 odd, 22 - 30 Day 62 Review for Test

Day 52 6-5 Parabolas Assignment: pg. 236, #'s 25-45 odd, 26

Day 63 Test Chapter 7 (600 point assessment) (Chapter 7 HW assignments are now due)

Unit 7 - Trigonometric Functions Part 2 of 4 Day 64 8-1 Simple Trigonometric Equations Assignment: pg. 299, #'s 1 – 29 odd Day 65 8-2 Sine and Cosine Curves Assignment: pg. 305, #'s 1, 5, 9, 11, 15, 17, 19, 23, and Assignment: pg. 300, #'s 31 – 36, 45

Day 73 9-3 The Law of Cosines Assignment: pp 352/1, 7, 9, 13, 15, 17, 18, 21, 23 Day 74 More Applications Assignment: pp 355/1 – 29 odd, 33, 35 Day 75 9-5 Applications of Trigonometry to Navigation and Surveying Assignment: pp 362/1 – 9, 11 – 18

Day 66 8-3 Modeling Periodic Behavior Assignment: pg. 313, #'s 1 – 15 odd, and Assignment: pg. 306, #'s 25, 27, 29 - 36

Day 76 Review Day 77 Test Chapter 9 (500 point assessment) (Chapter 9 HW assignments are due now)

Day 67 8-4 Relationships Among the Functions Assignment: pg. 321, #'s 1 – 23 odd, and Assignment: pg. 314, #'s 17, 19, 21, 24 - 26 Day 68 8-5 Solving More Difficult Trigonometric Equations Assignment: pg. 326, #'s 1 – 33 odd, and Assignment: pg. 321, #'s 28 – 39, 42 Day 69 Review Day 70 Test Chapter 8 (500 point assessment) (Chapter 8 HW assignments now due)

Unit 7 - Trigonometric Functions Part 3 of 4 Day 71

Unit 7 - Trigonometric Functions Part 4 of 4 Day 78 10-1 Formulas for sum and difference of sine and cosine Assignment: pp 373/1 – 27 odd 10-2 Formulas for Tangent Assignment: pp 377/1, 5 – 19 odd, 23, 29 Day 79 10-3 Double-Angle and Half-Angle Formulas Assignment: pp 383-1 – 25 odd, and Assignment: pp 373/29 – 43 odd Day 80 10-4 Solving Trigonometric Equations Assignment: pp 389/1 – 43 odd

9-1 Solving Right Triangles Assignment: pp 334/1, 7, 13 – 25 odd 9-2 The Area of a Triangle Assignment: pp 342/1, 7, 9, 15, 19, 31, 33. 35

Day 81 Review

Day 72

Unit 8 - Polar Coordinates and Complex Numbers

9-3 The Law of Sines Assignment: pp 347/3, 7, 11, 15, 19, 21 – 25 Assignment: pp 337/31, 33, 35, 37, 40

Day 82 Test Chapter 10 (300 point assessment) (Chapter 10 HW assignments are due now)

Day 83 11-1 Polar Coordinates and Graphs Assignment: pg. 400, #'s 1, 5, 9, 11, 13, 17, 19, 21, 25, 29 – 34

Day 84 11-2 Polar form of a complex number Assignment: pg. 406, #'s 7, 11, 15, 17, 21, 23, 26, 28, 30, 31 Day 85 11-3 Powers of Complex Numbers Assignment: pg. 410, #'s 1, 3, 5, 6, 8, 9, 13, 14, 17, 18 Day 86 11-4 Roots of Complex Numbers Assignment: pg. 413, #'s 1, 7, 11-16 Day 87 Review for Final Day 88 Review for Final Day 89 Review for Final Day 90 Final Exam (Comprehensive 2000-point assessment) (Chapter 11 HW assignments are due now)

Whew!

“There are two versions of math in the lives of many Americans: the strange and boring subject that they encountered in classrooms and an interesting set of ideas that is the math of the world, and is curiously different and surprisingly engaging. Our task is to introduce this second version to today's students, get them excited about math, and prepare them for the future." -Jo Boaler