Pre-Calculus 11

Unit 1: Algebra and Number

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

• Understanding absolute value

• Simplifying and converting radical expressions
• Rationalizing denominators

• Solving radical equations

• Equivalent forms of rational expressions
• Operations on rational expressions
• Solving rational equations

Unit 2: Trigonometry

Angles in standard position, the primary trigonometric ratios for angles from 0° to 360°, radian measure, and the unit circle.

• Sketching angles in standard position
• Reference angles and reflections

• Trig ratios from a point on the terminal arm
• Solving trigonometric equations and problems

• Radian measure and degree-radian conversion
• Coterminal angles and arc length

• The equation of the unit circle

Unit 3: Relations and Functions

Factoring polynomial expressions, absolute value and quadratic functions, quadratic and system equations, inequalities, arithmetic and geometric sequences, and reciprocal functions.

• Common factors and quadratic trinomials
• Difference of squares
• Quadratic-pattern factoring by substitution

• Graphing absolute value functions
• Solving absolute value equations

• Quadratic functions in vertex form
• Quadratic functions in standard form

• Solving quadratic equations by several methods
• The discriminant and the roots-zeros-intercepts link
• Systems involving quadratics

• Linear and quadratic inequalities

• Arithmetic sequences and series
• Geometric sequences and series

• Graphing reciprocal functions