Fairview High School
Inventing Quality Work For Students

Algebra II
Essential Outcomes
Fairview High School

Algebra II A

Tools of Algebra

• Graph real numbers on a number line.

• Identify and use properties of real numbers.

• Evaluate and simplify algebraic expressions.

• Solve equations and write equations to solve problems.

• Solve and graph inequalities and compound inequalities.

• Solve absolute value equations and inequalities.

• Find theoretical probability.

Functions, Equations, and Graphs

• Graph relation and identify functions.

• Graph linear equations and write linear equations of lines.

• Write and interpret direct variation equations.

• Write linear equations that model real-world data.

• Make predictions from linear models.

• Graph absolute value functions.

• Analyze vertical and horizontal translations.

Linear Systems

• Solve a system by graphing.

• Solve a system by substitution and elimination.

• Solve systems of linear inequalities.

• Solve problems with linear programming by finding the maximum and minimum values.

• Graph points and equations in three dimensions.

• Solve systems with three variables using substitution and elimination.

Matrices

• Identify matrices and their elements.

• Organize data into matrices.

• Add and subtract matrices and solve equations using matrices.

• Multiply a matrix by a scalar and multiply two matrices.

• Represent translations and dilations with matrices.

• Represent reflections and rotations with matrices.

• Evaluate determinants of 2 x 2 matrices and fins inverse matrices.

• Use inverse matrices in solving matrix equations.

• Evaluate determinants of 3 x 3 matrices.

• Solve systems of equations using inverse matrices.

Quadratic Equations and Functions-Graphing

• Identify quadratic functions and graphs.

• Model data with quadratic functions.

• Graph quadratic functions.

• Find maximum and minimum values of quadratic functions.

• Use the vertex form of a quadratic function.

Algebra II B

Quadratic Equations and Functions-Solving

• Find common and binomial factors of quadratic expressions.

• Factor special quadratic expressions.

• Solve quadratic equations by factoring and by finding square roots.

• Solve quadratic equations by graphing.

• Identify and graph complex numbers.

• Add, subtract, and multiply complex numbers.

• Solve and rewrite equations by completing the square.

• Solve quadratic equations by using the Quadratic Formula.

• Determine types of solutions by using the discriminant.

Radical Functions and Rational Expressions

• Simplify Nth roots.

• Multiply and divide radical expressions.

• Add, subtract, multiply, and divide radical expressions.

• Simplify expressions with rational exponents.

• Solve radical equations.

• Add, subtract, multiply, and divide functions.

• Find the composite of two functions.

Exponential and Logarithmic Functions

• Model exponential growth and decay.

• Use e as a base.

• Write, evaluate, and graph logarithmic functions.

• Use properties of logarithms.

• Solve exponential and logarithmic equations.

Quadratic Relations

• Identify and graph conic sections.

• Write and graph a parabola.

• Write and graph the equation of a circle.

• Find the center and radius of a circle and use it to graph the circle.

• Write the equation of an ellipse, find the foci, and graph the ellipse.

• Find the foci and graph a hyperbola.

2595 Fairview Blvd.
Fairview, TN 37062
Phone: 615-472-4400   Fax: 615-472-4421

For your convenience, E-mail the webmaster with questions or comments about this website.

Williamson County Schools do not discriminate on the basis of race, color, national origin, sex, handicap, or age.

Williamson County Schools Mission:  "The mission of Williamson County Schools is to  cultivate the ability, intellect, and character of each student."

Williamson County Schools Vision: The Williamson County schools provide an engaging and academically enriching environment designed to support the collaborative educational efforts of teachers, students, staff, and community.