Danville Area School District

Course Overview

Course: Trigonometry/Pre-Calculus Teacher: Mr. Humbert
Course Introduction:
The focus of the analytical trigonometry portion of the course will be on fundamental trigonometry concepts such as trigonometric functions, right triangle trigonometry, radian measure, trigonometric equations, and trigonometric identities, as well as applications thereof. The Pre-Calculus portion of this course includes topics such as arithmetic and geometric sequences, introductory limits and derivatives, conic sections, natural and common logarithms, and the application and use of graphing calculators. / Course Text or Student Materials:
McGraw-Hill Pre-Calculus, 2014 by Carter, Cuevas, Day Malloy, Bryan, Holliday, and Hovsepian.
Units of Study:
1. Solving Equations
2. Linear Functions, Equations and Inequalities
3. Polynomial Functions
4. Rational Power and Root Functions
5. Inverse, Exponential and Logarithmic Functions
6. Unit Circle and the Functions of Trigonometry
7. Trigonometry Identities and Equations
8. Applications Of Trigonometry and Vectors
9. Limits / Student Objectives:
·  Students will understand the fundamental concepts of algebra, trigonometry, and basic skills of calculus
·  Students will recognize and comprehend important ideas in introductory calculus
·  Students will demonstrate how algebra and trigonometry can be used to model real-life problems
·  Students will demonstrate an understanding of functions and their properties.
·  Students will know, apply, and evaluate the six basic trig functions and their use in solving right triangles (degree and radian measure).
·  Students will prove trigonometric identities.
·  Students will solve oblique triangles using the Law of Sines and Law of Cosines.
·  Students will recognize and draw graphs of trig functions.
·  Students will derive and evaluate inverse trig functions.
·  Students will demonstrate knowledge and applications of exponential and logarithmic functions.
·  Students will be able to use their calculators to check/verify answers and graph various functions throughout the course. / Standards/Anchors:
CC.2.2.HS.D.1
Interpret the structure of expressions to represent a quantity in terms of its context.
CC.2.2.HS.D.2
Write expressions in equivalent forms to solve problems.
Extend the knowledge of arithmetic operations and apply to polynomials.
Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs.
CC.2.2.HS.D.5
Use polynomial identities to solve problems.
CC.2.2.HS.D.6
Extend the knowledge of rational functions to rewrite in equivalent forms.
CC.2.2.HS.D.7
Create and graph equations or inequalities to describe numbers or relationships.
.
CC.2.2.HS.D.8
Apply inverse operations to solve equations or formulas for a given variable.
CC.2.2.HS.D.9
Use reasoning to solve equations and justify the solution method.
CC.2.2.HS.D.10
Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.
CC.2.2.HS.C.1
Use the concept and notation of functions to interpret and apply them in terms of their context.
CC.2.2.HS.C.2
Graph and analyze functions and use their properties to make connections between the different representations.
CC.2.2.HS.C.3
Write functions or sequences that model relationships between two quantities.
CC.2.2.HS.C.4
Interpret the effects transformations have on functions and find the inverses of functions.
CC.2.2.HS.C.5
Construct and compare linear, quadratic, and exponential models to solve problems.
CC.2.2.HS.C.6
Interpret functions in terms of the situations
they model.
CC.2.2.HS.C.7
Apply radian measure of an angle and the unit circle to analyze the trigonometric functions.
CC.2.2.HS.C.8
Choose trigonometric functions to model periodic phenomena and describe the properties of the graphs.
CC.2.2.HS.C.9
Prove the Pythagorean identity and use it to calculate trigonometric ratios.
CC.2.3.HS.A.1
Use geometric figures and their properties to represent transformations in the plane.
CC.2.3.HS.A.2
Apply rigid transformations to determine and explain congruence.
CC.2.3.HS.A.3
Verify and apply geometric theorems as they relate to geometric figures.
CC.2.3.HS.A.4
Apply the concept of congruence to create geometric constructions.
CC.2.3.HS.A.5
Create justifications based on transformations to establish similarity of plane figures.
CC.2.3.HS.A.6
Verify and apply theorems involving similarity as they relate to plane figures.
CC.2.3.HS.A.7
Apply trigonometric ratios to solve problems involving right triangles.
CC.2.3.HS.A.8
Apply geometric theorems to verify properties of circles.
CC.2.3.HS.A.9
Extend the concept of similarity to determine arc lengths and areas of sectors of circles.
CC.2.3.HS.A.10
Translate between the geometric description and the equation for a conic section.
CC.2.3.HS.A.14
Apply geometric concepts to model and solve real world problems.
Instructional Plan:
The instructional plan will be aligned with the Danville Area School District Instructional Model.
Student Assistance:
Students can request additional help during his/her resource period, study hall, or at the beginning or end of class. Students can also schedule a meeting time before or after school with the classroom teacher.
Assessments and Evaluation:
Assessments generally include, but are not limited to:
·  Major tests (may include multiple choice questions, true/false, matching, as well as open-ended questions)
·  Concept quizzes (based on concepts covered in class)
·  Evaluation of work both inside and outside of the classroom (work assigned from the textbook)
·  Graded assignments (in-class or out of class) or take-home quizzes
·  Homework Checks / Grading:
Grades for this course are calculated on a total point system. The grade is calculated by dividing the total points earned by the total points possible.
Assignments include:
·  Homework Checks
·  Assessments- This may include quizzes, tests, writing assignments, take-home quizzes/tests, open-ended questions, and more.
Homework assignments are not accepted late. / Homework/Procedures:
Homework is assigned on an as needed basis. The assignments are from the students’ textbooks and supplemental worksheets. If a student needs help with an assignment, he/she should visit the teacher before or after school or during his/her resource period.
Student and Parent Communication:
If a student or parent has a particular question, he/she can contact me through email at or . Parents may set up a conference on any day, when needed. Parents also have the opportunity to see us during open house and the scheduled parent-teacher conferences. Please be sure to check student progress by logging into their Sapphire account.
Student Expectations and Classroom Rules of Conduct
Students will appropriately participate and follow all policies as outlined in the Danville Student Handbook, which contains procedures regarding absences, classroom behavior, make-up of work, academic integrity and all other student conduct guidelines.
Materials Required:
·  Pencil
·  Scientific Calculator
·  Textbook
Expectations of the Student:
·  Be in class and prepared to learn every day. Bring your notebook, textbook, assignment(s), and pencil.
·  Report to class on time.
·  Complete all given assignments. This especially includes homework and classwork.
·  Pay attention in class. The material covered in class is vital to your success in this course.
·  Respect fellow classmates. This includes their opinions and physical boundaries. Aggressive behavior such as bullying will not be tolerated.
·  Ask questions when you do not understand a topic. If you need additional help, we can meet before school, after school, or during the resource period.
·  Leave the classroom the same as you found it or cleaner than you found it.
Makeup Policy:
If a student misses a day of class and the absence is excused, it is the student’s responsibility to request any work he or she missed. If an absence is not excused, the student will receive a grade of zero for any assignment missed while absent. Makeup tests and quizzes should be completed in a timely manner. Individual accommodations can be made for extenuating circumstances.
Cheating and Plagiarism:
Any evidence of cheating or plagiarism will result in a grade of zero for that assignment or assessment. Other disciplinary action will follow the plagiarism policy of Danville High School.
Extra Help:
Extra help is available at the student’s request. Please see Mr. Humbert immediately.