Honors Trigonometry Syllabus Math 1142 College Trigonometry Southern State Community College CHS Mathematics Department

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1 Honors Trigonometry Syllabus Math 1142 College Trigonometry Southern State Community College CHS Mathematics Department Contact Information: Parents may contact me by phone, email or visiting the

1 1 Honors Trigonometry Syllabus Math 1142 College Trigonometry Southern State Community College CHS Mathematics Department Contact Information: Parents may contact me by phone, or visiting the school. Teacher: Mr. Michael Richardson Address: or Phone Number: (740) ext Online: Teacher Contact Websites/Social Media: FaceBook CHS Vision Statement: Our vision is to be a caring learning center respected for its comprehensive excellence. CHS Mission Statement: Our mission is to prepare our students to serve their communities and to commit to life-long learning Course Description and Prerequisite(s) from Course Handbook: Honors Trigonometry (Dual Credit Option with College Trigonometry (289): Math 1142) State Course # Prerequisite: Students must have attained a B+ or better in Algebra II and Geometry/ B in Honors Algebra II and Geometry and teacher approval. For college credit, appropriate score on college placement test or minimum ACT math score of 26. Required Option Grade: Graded Conventionally Credit: 1 This honors course is designed for the advanced math student. In-depth study of trigonometric and circular functions including modeling, graphing, and connecting to polar coordinates, complex numbers and series. This course deals with trigonometric functions of acute angles, the right triangle, the oblique triangle, graphs of functions, and trigonometric identities and equations. Students apply problem solving techniques to measure angles and distances indirectly and to establish mathematical relationships dealing with triangles. Trigonometric relations are used to create and analyze mathematical models and functions. In addition, this course includes a study of trigonometric functions and their applications. Topics include circular functions, trigonometric functions, trigonometric identities, trigonometric equations, vectors, the complex plane, polar coordinates, conic sections and applications of these concepts.

2 2 Learning Targets per Unit: Defined below for clarity are the Unit Titles, Big Ideas of every Unit taught during this course, and the Essential Questions to be answered to better understand the Big Ideas. A student s ability to grasp and answer the Essential Questions will define whether or not he or she adequately learns and can apply the skills found in Big Ideas. This will ultimately define whether or not a student scores well on assessments given for this course. The Common Core Standards can be found at (Teacher Note: The Ainsworth Model suggests 1-3 Big Ideas for each Unit and 1-3 essential questions per Big Idea. Each Unit will vary.) 1 st or 3 rd Quarter o Unit I Title: Trigonometry Essentials Big Idea #1: Angles & Right Triangles Essential Question #1: How are angles expressed in degrees converted to radians? Essential Question #2: How are arc lengths and sector areas of circles found? Essential Question #3: How are the Fundamental Identities used? Big Idea #2: Trigonometric Function Values of Acute Angles and General Angles Essential Question #1: How are exact values of trigonometric functions found? Essential Question #2: How are coterminal angles useful in finding exact values of trigonometric functions? Essential Question #3: How is the reference angle of a general angle found and used? Big Idea #3: The Unit Circle Essential Question #1: How is understanding the unit circle useful in determining domain and range of trigonometric functions? Essential Question #2: What are the Periodic Properties and how are they used to find exact values of the trigonometric functions? Essential Question #3: How are Even-Odd Properties helpful and used? o Unit II Title: Graphs & Inverses Big Idea #1: Library of Graphs Essential Question #1: How are the six trigonometric functions graphed and how are key points labeled? Essential Question #2: How are amplitude and period determined without graphing?

3 3 Essential Question #3: How are asymptotes useful when graphing trigonometric functions? Big Idea #2: Phase Shift & Sinusoidal Curve Fitting Essential Question #1: How are sinusoidal functions of the y Asin x B graphed? form Essential Question #2: How is a sinusoidal function found using technology? Big Idea #3: The Inverse Trigonometric Functions Essential Question #1: How are exact values of the inverse sine, cosine, and tangent functions found? Essential Question #2: How are properties of inverse functions used to find exact values of certain composite functions? Essential Question #3: How are exact values of expressions involving the inverse sine, cosine, and tangent functions found? o Unit III Title: Analytic Trigonometry Big Idea #1: Trigonometric Equations & Identities Essential Question #1: How is algebra used to simplify trigonometric expressions? Essential Question #2: How are identities established? Essential Question #3: How are trigonometric equations solved by a variety of processes? Big Idea #2: Sum, Difference, Double-angle, & Half-angle Formulas Essential Question #1: How are exact values using special formulas found? Essential Question #2: How are special formulas used to establish identities? Big Idea #3: Product-to-Sum & Sum-to-Product Formulas Essential Question #1: How are products expressed as sums? Essential Question #2: How are sums expressed as products? 2 nd or 4 th Quarter o Unit IV Title: Applications of Trigonometric Functions Big Idea #1: Applications Involving Right Triangles Essential Question #1: How are right triangles solved? Essential Question #2: How are applied problems solved? Big Idea #2: Law of Sines & Law of Cosines Essential Question #1: How are SAA, ASA, or SSA triangles solved using the Law of Sines? Essential Question #2: How are SAS or SSS triangles solved using the Law of Cosines?

4 4 Essential Question #3: How are applied problems solved using the Law of Sines and the Law of Cosines? Big Idea #3: The Area of a Triangle Essential Question #1: How is the area of SAS triangles found? Essential Question #2: How is the area of SSS triangles found? o Unit V Title: Polar Coordinates; Vectors Big Idea #1: Polar Coordinates, Equations, & Graphs Essential Question #1: What are polar coordinates and how are they related to rectangular coordinates? Essential Question #2: How are equations transformed from polar form to rectangular form? Essential Question #3: How are polar equations tested for symmetry? Big Idea #2: The Complex Plane & De Moivre s Theorem Essential Question #1: How are complex numbers converted from rectangular form to polar form? Essential Question #2: How are products and quotients of complex numbers in polar form found? Essential Question #3: How is De Moivre s Theorem used? Big Idea #3: Vectors & Dot Product Essential Question #1: How are vectors graphed? Essential Question #2: How a vector found from its direction and magnitude? Essential Question #3: How is it determined whether two vectors are parallel? o Unit VI Title: Analytic Geometry Big Idea #1: The Parabola Essential Question #1: How are parabolas analyzed with its vertex at the origin? Essential Question #2: How are parabolas analyzed with its vertex at (h, k)? Essential Question #3: How applied problems involving parabolas solved? Big Idea #2: The Ellipse Essential Question #1: How are ellipses analyzed with its center at the origin? Essential Question #2: How are ellipses analyzed with its center at (h, k)? Essential Question #3: How are applied problems involving ellipses solved? Big Idea #3: The Hyperbola

5 5 Essential Question #1: How are hyperbolas analyzed with its center at the origin? Essential Question #2: How are the asymptotes of a hyperbola found? Essential Question #3: How are hyperbolas analyzed with its center at (h, k)? END OF COURSE EXAM Course Material: Google Chromebook Textbook: Algebra & Trigonometry, 10 th Edition, Sullivan. Pearson, ISBN Supplemental Textbook(s): Electronic Resources: TI-84 Plus C Silver Edition Google ChromeBook Grading: Unit Exams 50% Assessments (Including: Quizzes, Essays, Labs, and Projects) 30% Class work/homework 20% End of Course Exam is 20% of a student s final grade. Grading Scale: The grading scale for Chillicothe High School can be found in the student handbook or online at Course Expectations: Class Rules 1) Be punctual 2) Be prepared for class 3) Be respectful towards teachers/staff, class members, school property, etc. 4) Be honest 5) Be observant of all class, school, and district rules and policies 6) Be positive Procedures 1) Students will write and perform Bell Ringer, write the essential question(s), and get materials ready the first three minutes of class 2) Students will request permission from the teacher, get their agenda signed, and sign out on the back of the door to leave the classroom for any reason 3) Students will turn in work at the appropriate time and place 4) Students will clean up after themselves as well as their group members

6 6 5) Students will remain seated in their assigned seat unless otherwise given permission 6) Students are responsible for getting their make-up work after an absence 7) Students are responsible for scheduling make-up tests and quizzes Course Material 3-ring binder with dividers loose leaf college ruled paper pencils colored pencils graph paper graphing calculator is required (TI-84 Plus C Silver Edition is recommended) Late Work: Late work will be subject to the board adopted policy on assignments that are turned in late (to be reviewed in class). Information can be viewed on-line at CHS TENTATIVE Honors Trigonometry and College Trigonometry Course Schedule This is an overview of what will be covered in this course at CHS for this school year. Although, I would like to follow this plan verbatim this years tentative schedule is subject to change (at the teachers discretion). 1st or 3rd 9 Weeks: Week 1: Beginning of the Year Pre-Assessment Exam Unit I Title: Trigonometry Essentials Week 1: 7.1 Angles and Their Measure [TMM003 obj. 3.1], 7.2 Right Triangle Trigonometry [TMM003 obj. 1.1, 3.2] Week 2: 7.3 Computing the Values of Trigonometric Functions of Acute Angles [TMM003 obj. 1.1], 7.4 Trigonometric Functions of General Angles [TMM003 obj. 1.1, 1.4] Week 3: 7.5 Unit Circle Approach; Properties of the Trigonometric Functions [TMM003 obj. 1.1] Unit I Summative Assessment Unit II Title: Graphs & Inverses Week 3: 7.6 Graphs of the Sine and Cosine Functions [TMM003 obj. 1.2, 1.3, 1.4], 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions [TMM003 obj. 1.1, 1.2, 1.3] Week 4: 7.8 Phase Shift; Sinusoidal Curve Fitting [TMM003 obj. 1.2] Weeks 5-6: 8.1 The Inverse Sine, Cosine, and Tangent Functions [TMM003 obj. 1.2, 1.3, 1.4], 8.2 The Inverse Trigonometric Functions [TMM , 1.3]

7 7 Unit II Summative Assessment Unit III Title: Analytic Trigonometry Week 7: 8.3 Trigonometric Equations [TMM003 obj. 1.2, 1.3], 8.4 Trigonometric Identities [TMM003 obj. 4.1] Weeks 7-8: 8.5 Sum and Difference Formulas [TMM003 obj. 4.1], 8.6 Double-Angle and Half-Angle Formulas [TMM003 obj. 4.1] Weeks 8-9: 8.7 Product-to-Sum and Sum-to-Product Formulas [TMM003 obj. 4.1] Unit III Summative Assessment 2nd or 4th 9 Weeks: Unit IV Title: Applications of Trigonometric Functions Week 1-2: 9.1 Applications Involving Right Triangles [TMM ] Week 2-3: 9.2 The Law of Sines [TMM003 obj. 3.2], 9.3 The Law of Cosines [TMM003 obj. 3.2] Week 4: 9.4 The Area of a Triangle [TMM003 obj. 3.2] Unit IV Summative Assessment Unit V Title: Polar Coordinates; Vectors Week 4: 10.1 Polar Coordinates [TMM003 obj. 5.1, 7], 10.2 Polar Equations and Graphs [TMM003 obj. 7] Week 5: 10.3 The Complex Plane; De Moivre s Theorem [TMM003 obj. 6] Week 6: 10.4 Vectors [TMM003 obj. 5.1, 5.2, 5.3], 10.5 Dot Product [TMM003 obj. 5.2] Unit V Summative Assessment Unit VI Title: Analytic Geometry Week 7: 11.1 Conics [TMM003 obj. 3], 11.2 The Parabola [TMM003 obj. 3] Week 8: 11.3 The Ellipse [TMM003 obj. 3] Week 9: 11.4 The Hyperbola [TMM003 obj. 3] Unit VI Summative Assessment END OF COURSE EXAM Performance Based Section: Writing Assignments/Exams/Presentations/Technology One or more of the End of Unit Exams may be Performance Based. According to the Ohio Department of Education, Performance Based Assessments (PBA) provides authentic ways for students to demonstrate and apply their understanding of the content and skills within the standards. The performance based assessments will provide formative and summative information to inform instructional decision-making and help students move forward on their trajectory of learning. Some examples of Performance Based Assessments include but are not limited to portfolios, experiments, group projects, demonstrations, essays, and presentations.

8 8 CHS Honors Trigonometry and College Trigonometry Course Syllabus After you have reviewed the preceding packet of information with your parent(s) or guardian(s), please sign this sheet and return it to me so that I can verify you understand what I expect out of each and every one of my students. Student Name (please print): Student Signature: Parent/Guardian Name (please print): Parent/Guardian Signature: Date:

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.