Algebra 2 [Honors] (2nd semester)

Course Description

Algebra 2 [Honors] allows students to discover how the skills they learned in Algebra 1 further apply to a variety of topics. Students begin the course with a review of linear equations and inequalities in one and two variables. They apply their knowledge of systems of equations to work with more advanced systems of three equations. Systems of equations are applied to matrices as students calculate determinants and display data in matrices of various sizes. A deeper dive into polynomials and quadratics involves factoring, performing operations, complex solutions, and comparing and contrasting graphs. Students explore additional characteristics and types of functions including inverse, exponential, logarithmic, and rational functions. Students graph and create equations for conic sections. After students apply their knowledge of functions to sequences and series, they are introduced to trigonometric topics including the unit circle, laws of sines and cosines, graphs of periodic functions, and methods of solving trigonometric equations. Statistics and probability are covered as students solve problems involving mutually exclusive and inclusive events, find measures of central tendency and variation, and recognize normally distributed data.

Course Breakdown

• Exponential and logarithmic functions
• Transforming polynomials
• Operations with functions
• Inverse functions
• Conic sections
• Sequences and series
• The unit circle
• Trigonometric functions
• Trigonometric identities and formulas
• Normally distributed data

Course Goals

1. Analyze, evaluate, and graph rational functions.
2. Model real-world scenarios with exponential and logarithmic functions.
3. Find the inverse of a function graphically and algebraically.
4. Explore the relationships between linear and exponential functions and arithmetic and geometric sequences.
5. Analyze the unit circle and its relationship to trigonometric functions.
6. Use characteristics of normal distributions to solve problems.