### Algebra II 03100600 TX

Algebra II is a full-year high school course that is intended for the student who has successfully mastered the core concepts covered in the prerequisite course, Algebra I. Within this course, students will broaden their knowledge of quadratic and exponential functions, as well as systems of equations and inequalities. In addition, students will study logarithmic, square root, cubic, cube root, absolute value, rational, and inverse functions and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. Lastly, students will extend their knowledge of data analysis and numeric and algebraic methods. Students must have taken Algebra I as a prerequisite to this course.

Upon successfully completing this course, the student should have mastered the following concepts:

• Write, solve, and graph linear, quadratic, and absolute value equations and inequalities.

• Formulate, solve, and graph linear systems, including linear systems with three variables, and a system of linear and quadratic equations and inequalities.

• Describe and analyze the relationship between a function and its inverse.

• Analyze the key attributes of functions such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval.

• Use the composition of functions.

• Perform operations, simplify, and solve polynomial expressions and equations.

• Know how to solve and graph rational expressions, equations and functions.

• Solve equations involving rational exponents and explore radical functions and equations.

• Evaluate, graph, and solve exponential and logarithmic functions and equations.

• Understand how the effects of graphs of cubic, cube root, absolute value, logarithmic, exponential, and rational functions, equations, and inequalities can be used to model situations, solve problems, and make predictions.

• Examine a set of data to select appropriate models from among linear, quadratic, and exponential.

• Use regression methods available through technology to write functions from a given set of data.

• Make predictions, decisions, and critical judgments from a set of data.

State: Texas