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.
Graphs of linear functions
Systems of equations
Properties of matrices
Graphs of quadratic functions Quadratic equations
Polynomials and factoring
Radical and root functions
Rational equations and functions
Explore characteristics of linear functions and their graphs.
Solve applications using matrices and systems of equations.
Analyze quadratic functions and reveal key features of their graphs. Solve quadratic equations using a variety of methods.
Perform and apply calculations using imaginary and complex numbers.
Investigate radical and rational functions and their characteristics.