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Pre-Calculus A Credit Recovery

This is a self-paced credit recovery course, in which students will understand and apply concepts, graphs and applications of a variety of families of functions, including polynomial, exponential, logarithmic, logistic and trigonometric. An emphasis will be placed on use of appropriate functions to model real world situations and solve problems that arise from those situations. A focus is also on graphing functions by hand and understanding and identifying the parts of a graph. A scientific and/or graphics calculator is recommended for work on assignments, and on examinations.

Major topics include:

  • Principles of Algebra
  • Rational Number
  • Graphs, Functions and Sequences
  • Exponents and Roots
  • Ratios, Proportions and Similarity
  • Percents

Students learn through online lesson activities, videos, and interactive activities. Modules contain a variety of lessons, which conclude with a brief self-check and module exam. The course concludes with a cumulative exam.

This 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. Students will spend up to 40 hours completing this course, though the actual time spent will vary based on understanding of topics covered in this class.

Acknowledgements

  • Algebra 2
  • Students should confirm that their high school will accept this course for credit recovery before registering for this 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 Essential Questions:

  • How can we systematically solve different types of linear equations like quadratic and exponential forms?
  • What information does the graph of a linear function reveal about its behavior and real-world applications?
  • How do the features of a quadratic function - like its roots, intercepts, and intervals - impact its meaning in real-world situations?
  • How can we model real-world scenarios using different types of functions, like linear and parent functions?
  • What happens when we combine functions (composition) or reverse their operation (inverse)?
  • How do rational and exponential functions behave differently, and what unique features do they possess?
  • Can we unlock the secrets of polynomial equations using special theorems and techniques like synthetic division?
  • How can we switch between exponential and logarithmic forms, solve equations involving them, and interpret their graphs in real-world contexts?
  • How can trigonometry, through angles and triangles, unlock information about the world around us?
  • How can we analyze and solve circular motion problems using concepts like speed, arc length, and area?

Course Learning Objectives:

  • Solve linear equations: Apply properties, construct plans, use factoring, quadratic formula, and square root methods.
  • Graph linear functions: Recognize transformations, slope, intercept, and graph equations.
  • Analyze quadratic functions: Understand roots, intercepts, increasing/decreasing intervals, and domain/range.
  • Model with functions: Build and interpret linear and basic parent function models.
  • Compose and inverse functions: Apply rules, identify domains, and differentiate inverses.
  • Explore rational and exponential functions: Recognize features, graph equations, and find asymptotes.
  • Solve polynomial equations: Apply the Remainder Theorem and synthetic division.
  • Model with exponential and logarithmic functions: Convert between forms, solve equations, and graph functions.
  • Apply trigonometry: Define and calculate values, solve right triangles, and use identities.
  • Solve circular motion problems: Calculate speeds, arc lengths, and areas.

Additional Requirements

  • Students who require screen-reading tools may find accessibility challenges in some components of this course. Consider submitting a support request to learn more about accessibility in this course prior to registration.
  • Scientific or graphing calculator recommended, though students can use online calculator if needed.