AP Precalculus (Sem 2)

About This Course

This is the second semester of a two-semester course sequence and is aligned to the College Board’s Advanced Placement course and exam description for AP Precalculus. In this course, students will explore a variety of function types used to model real-world applications in mathematics and the sciences. Students will investigate functions such as polynomials, rational functions, exponentials, logarithmic functions, trigonometric functions, and polar functions, as well as explore vectors and matrices. Students will also engage in collaborative activities, including discussions, and connect precalculus concepts to real-world applications to develop a deeper understanding of mathematics in today’s world.

Students will enroll in their Michigan Virtual instructor’s AP Classroom. If students intend to take the AP Exam, then they should be enrolled in an Exam Only section of AP Classroom created by their local school personnel. Students will then be enrolled in BOTH the Exam Only AP Classroom associated with their local school AND the online instructor’s AP Classroom associated with Michigan Virtual. Having completed this course, students will be prepared for the AP exam. The course does not include the AP Exam; students can contact their school’s AP Coordinator or the College Board to sign up to take the Exam. In order to maintain the integrity of AP standards, all AP course midterm and final exams must be proctored by personnel at their local school. Prerequisites:  Algebra 2, Geometry, AP Precalculus (Semester 1)

Course Objectives: Upon completion of this course, students will be able to...

• Analyze trigonometric functions and their graphs, including secant, cosecant, cotangent, inverse trigonometric functions, and composite trigonometric functions
• Solve trigonometric equations and identities using algebraic techniques and trigonometric identities
• Apply trigonometric relationships to solve contextual problems involving triangles, periodic phenomena, and angular relationships
• Represent relationships using polar and rectangular coordinate systems and analyze graphs of polar functions
• Construct and interpret parametric representations of functions and motion in the plane
• Analyze vectors and vector operations to model magnitude, direction, and relationships between quantities
• Apply matrices and linear transformations to represent and solve mathematical and contextual problems

Course Outline:

Unit 5: Graphs, Composites, and Inverses of Trigonometric Functions

Unit 6: Equivalent Trigonometric Representations and Polar Functions

Unit 7: Vectors, Parametric Functions, and Conic Sections

Unit 8: Linear Transformations and Matrix-Vector Functions

Unit 9: AP Review, Practice Exam, and Preview of Calculus

Resources Included: Online lesson instruction and activities, opportunities to engage with a certified, online instructor and classmates, when appropriate, and online assessments to measure student performance of course objectives and readiness for subsequent academic pursuits.

Additional Costs: Students must purchase a one-year subscription to Pearson Access - MyLab Math from the Pearson K-12 Learning Materials Store to obtain an access code to enroll via a link in their online course materials. Ensure that purchases are made for the correct ISBN listed below. Pearson K-12 Learning Materials Store - Purchasing Directions. NOTE: While it is best to purchase an access code in advance of your class start date, students will also have the option of using 14-day temporary access to begin the course while awaiting the purchase of their MyLab Math access code.
Required Textbook: Demana, Franklin; Waits, Bert; Foley, Gregory; Kennedy, Daniel; Gorsuch, Rachael; Phelps, Steve. Precalculus: Graphical, Numerical, Algebraic. AP 11th Edition, Pearson Education, 2024. ISBN: 9780132962377 MyMathLab (Digital - 1 YR) OR 9780138049249 MyMathLab (Digital - 1 YR) plus textbook hardcopy

Scoring System: Michigan Virtual does not assign letter grades, grant credit for courses, nor issue diplomas. A final score out of total points earned will be submitted to your school mentor for conversion to their own letter grading system.

Time Commitment: Semester sessions are 18-weeks long: Students must be able to spend 1 or more hours per day in the course to be successful. Summer sessions are 10 weeks long: Students must be able to spend a minimum of 2 or more hours per day, or about 90 hours during the summer, for the student to be successful in any course. Trimester sessions are 12-weeks long: Students must be able to spend 1.5 or more hours per day in the course to be successful.

Technology Requirements: Students will require a computer device with headphones, a microphone, webcam, up-to-date Chrome Web Browser, and access to YouTube.

Ensure that your school or district network and device administrator establishes network access permissions or exceptions for online resources relevant to the course in which you are choosing to enroll. Ref., Michigan Virtual Course Allow List

Please review the Michigan Virtual Technology Requirements.

Instructor Support System: For technical issues within your course, contact the Customer Care Center by email at CustomerCare@michiganvirtual.org or by phone at (888) 889-2840.

Instructor Contact Expectations: Students can use email or the private message system within the Student Learning Portal to access highly qualified teachers when they need instructor assistance. Students will also receive feedback on their work inside the learning management system. The Instructor Info area of their course may describe additional communication options.

Academic Support Available: In addition to access to a highly qualified, Michigan certified teacher, students have access to academic videos and outside resources verified by Michigan Virtual. For technical issues within the course, students can contact the Michigan Virtual Customer Care by email at customercare@michiganvirtual.org or by phone at (888) 889-2840.

Required Assessment: Online assessments consist of formative and summative assessments represented by computer-graded multiple choice, instructor-graded writing assignments including hands-on projects, model building, discussion-based assessments (one-on-one conversations with your teacher), and other forms of authentic assessments.

Technical Skills Needed: Basic technology skills necessary to locate and share information and files as well as interact with others in a Learning Management System (LMS), include the ability to:

• Download, edit, save, convert, and upload files
• Download and install software
• Use a messaging service similar to email
• Communicate with others in online discussion or message boards, following basic rules of netiquette
• Open attachments shared in messages
• Create, save, and submit files in commonly used word processing program formats and as a PDF
• Edit file share settings in cloud-based applications, such as Google Docs, Sheets, or Slides
• Save a file as a .pdf
• Copy and paste and format text using your mouse, keyboard, or an html editor’s toolbar menu
• Insert images or links into a file or html editor
• Search for information within a document using Ctrl+F or Command+F keyboard shortcuts
• Work in multiple browser windows and tabs simultaneously
• Activate a microphone or webcam on your device, and record and upload or link audio and/or video files
• Use presentation and graphics programs
• Follow an online pacing guide or calendar of due dates
• Use spell-check, citation editors, and tools commonly provided in word processing tool menus
• Create and maintain usernames and passwords

Additional Information: The official course descriptions for Advanced Placement courses and information about their exams are located on the College Board AP Central website.

Michigan Virtual prepares students in AP courses for the AP exam, but does not offer the exam test itself. It is the responsibility of the school or parent to register for a local administration of the AP exam.

Students will enroll in their Michigan Virtual instructor’s AP Classroom. If students intend to take the AP Exam, then they should be enrolled in an Exam Only section of AP Classroom created by their local school personnel. Students will then be enrolled in BOTH the Exam Only AP Classroom associated with their local school AND the online instructor’s AP Classroom associated with Michigan Virtual.

There are required due dates in AP courses. The pacing of due dates in AP courses aligns to the completion of all lessons and required assignments and assessments prior to the national AP exam date related to this course title. The calendar of AP exam dates is published by the College Board (Exam Calendar).