This Algebra 2 Flexible course is a continuation of the algebra skills gained in Algebra 1. This course will expose students to a number of algebraic topics aligned with the Common Core Standards.

In this course, students will focus on four critical areas:

(1) Relate arithmetic of rational expressions to arithmetic of rational numbers

(2) Expand understandings of functions and graphing to include trigonometric functions

(3) Synthesize and generalize functions and extend understanding of exponential functions to logarithmic functions

(4) Relate data display and summary statistics to probability and explore a variety of data collection methods.

Students will investigate topics such as rational functions and their graphs, methods for solving polynomial equations, simplifying radical expressions, applications of exponentials and logarithms, sequences and series, trigonometry, and probability.

This course incorporates a variety of textbook and multimedia resources including an adaptive problem set platform that provides various feedback on student assessments. Students will also engage in collaborative activities, such as simulations and discussions, and connect algebra concepts to real-world applications to develop a deeper understanding of algebra in the world.

**About the Flexible Course Model**

Flexible courses are comprehensive, self-paced courses designed for students who need or desire more flexibility in their academic schedule. VHS Learning teachers will regularly interact with students in asynchronous discussions, will host weekly office hours, and will invite students to monthly 1-on-1 progress meetings. Teachers will support students, answer questions, and provide feedback on work. Students will work independently on course activities; the course does not include class discussion assignments or other collaborative work.

Students may start this course on any Monday from September through the first Monday in February. Students must maintain enrollment for a minimum of **20 weeks** and have until **June 15** to complete all assignments in the course. It is expected that students will work for approximately 200 hours to complete this course, though the amount of time may vary depending on a student’s work habits and comfort with the material.

**Course Essential Questions:**

- What are the relationships among exponents, radicals, logarithms, exponential functions, and logarithmic functions?
- How can we create, analyze, and describe different kinds of graphs?
- How do we create and interpret models?
- How can we utilize equations to solve problems?

**Course Learning Objectives:**

- Identify functions and their features.
- Perform operations on expressions and write equivalent forms to solve problems.
- Create equations to describe relationships.
- Construct, compare, and interpret quadratic, polynomial, rational, exponential, logarithmic, and trigonometric models.
- Analyze the relationship between a function and its inverse.
- Describe how transformations affect functions.
- Apply formulas to solve problems.
- Calculate and interpret probabilities.