Pre-Calculus 110

Unit 1: Algebra and Number

Absolute value of real numbers, operations on radicals and radical equations, and equivalent forms and operations on rational expressions and equations.

• Understanding absolute value

• Simplifying radical expressions
• Operations on radicals and rationalizing

• Solving radical equations

• Equivalent forms of rational expressions
• Non-permissible values

• Multiplying and dividing rational expressions
• Adding and subtracting rational expressions

• Solving rational equations

Unit 2: Trigonometry

Angles in standard position from 0° to 360° and solving problems using the three primary trigonometric ratios for those angles.

• Angles in standard position and reference angles

• Trig ratios and their signs by quadrant
• Solving trigonometric problems

Unit 3: Relations and Functions

Factoring polynomial expressions, graphing and analyzing absolute value and quadratic functions, solving quadratic equations and systems, and solving linear and quadratic inequalities.

• Factoring the general trinomial form
• Factoring a difference of squares
• Factoring a trinomial in a function of x
• Factoring a difference of squares in functions

• Graphing absolute value functions
• Solving with absolute value functions

• Vertex, direction, and symmetry from vertex form
• Domain, range, and intercepts from vertex form

• Characteristics from standard form
• Solving problems with quadratic functions

• Solving quadratics by factoring
• Completing the square and the quadratic formula
• Applications of quadratic equations

• Linear-quadratic systems
• Quadratic-quadratic systems

• Linear and quadratic inequalities in two variables
• Quadratic inequalities in two variables

• Solving quadratic inequalities in one variable