Pre-Calculus B Self-Paced

This is a self-paced course in which students will continue their study of mathematical concepts. Students will explore concepts related to introductory trigonometry and graphs, trigonometric equations and identities, analytical trigonometry, conic sections, and an introduction to calculus. This course includes a focus on graphing functions and understanding and identifying parts of a graph. A scientific and/or graphics calculator is recommended for work on assignments, and on examinations.

Major topics include:

How graphs of trigonometric functions model real-world phenomena

Solving right triangle problems with trigonometric ratio and the Unit Circle

Modeling numeric patterns with explicit or recursive functions

Formulas used to find sums of numbers

Similarities and differences between equations of conic sections

Limits, continuity, and calculus

Students learn through online lesson activities, videos, and interactive activities. Each module includes lessons that conclude with a brief quiz as well as a module exam. The course contains a cumulative final exam.

This self-paced course uses content from Accelerate Education taught by a VHS Learning instructor who is certified in their content area and who follows VHS Learning policies. The course will be hosted in the Buzz learning management system.

About the Self-Paced Course Model

Self-Paced courses are designed for students who need flexibility in their academic schedule. Teachers answer questions and interact with students in Private Topics, provide feedback on work, and host weekly office hours. Students work independently on course activities; the course does not include class discussion assignments or other collaborative work.

This course has start dates on each Wednesday throughout the year. Students must maintain enrollment for a minimum of 4 weeks and have up to 16 weeks to complete all assignments in the course. It is expected that students will work for approximately 90 hours to complete this course, though the amount of time may vary depending on a student’s work habits and comfort with the material.

Acknowledgements

  • Successful completion of Pre-Calculus A
  • I acknowledge that this is a self-paced course.
  • This course contains an end-of-course proctored exam. Instructions for students to identify an appropriate adult proctor are included in the course lessons.

Course Objectives

Course Learning Objectives:

  • Identify and analyze graphs of the sine, cosine, and tangent functions.
  • Apply trigonometric identities to solve problems and calculate values of angles.
  • Apply the Law of Sines and Cosines to calculate sides and angles.
  • Create formulas to model data and apply formulas to calculate sums.
  • Classify arithmetic vs. geometric sequences.
  • Interpret meaning of variables in equations of circles, hyperbolas, parabolas, and ellipses.
  • Solve quadratic systems of equations using different methods.
  • Explore concepts related to limits and continuity.

Additional Requirements

Scientific or graphing calculator recommended, though students can use online calculator if needed.