Table of Contents

Chapter 4: Trigonometric Functions

Lesson 4-1: Right Triangle Trigonometry

• Chart for Trig value of special angles: 0,30,45,60,90 degrees
• Use SOHCAHTOA to solve special right triangles
• Use SOHCAHTOA to solve right triangles: side and angles

Lesson 4-2: Trigonometric Functions on the Unit Circle

• Convert degree measures of angles to radian measures, and vice versa.

Lesson 4-3: Graphing Trig Functions

• Unit Circle
• Steps for finding the exact value of trig function of angle with degrees
• Steps for finding the exact value of trig function of angle with Radian

Lesson 4-4: Inverse Trigonometric Functions

• Graph Trig Parent functions and write down the properties of six parent trig functions such as: Domain, Range, Symmetry, Y-intercept, x-intercept, and at what x value does the function have max and min value
• Use sinusoidal functions to solve problems.

Lesson 4-5: The Law of Sines and the Law of Cosines

• Graphing tan, cot, sec and csc Parent functions and find out the following Properties: Domain, Range, Symmetry, Y-intercept, x- intercept, Maximum and Minimum Value.

Lesson 4-6: Inverse Trigonometric Functions

• Evaluate and graph inverse trigonometric functions.
• Find compositions of trigonometric functions.

Chapter 5: Trigonometric Identities and Equations

Lesson 5-1: Trigonometric Identities

• Identify and use basic trigonometric identities to find trigonometric values.
• Use basic trigonometric identities to simplify and rewrite trigonometric expressions.

Lesson 5-2: Verifying Trigonometric Identities

• Verify trigonometric identities.
• Determine whether equations are identities.

Lesson 5-3: Solving Trigonometric Equations

• Use sum and difference identities to evaluate trigonometric functions.
• Use sum and difference identities to solve trigonometric equations.
• Use Double angle identities to evaluate trig functions

Lesson 5-4: Sum and Difference Identities

• Solve trigonometric equations using algebraic techniques.
• Solve trigonometric equations using basic identities.

Lesson 1-0: Parent Functions

Lesson 1-1: Analyzing the Graphs of Functions

• Given a graph, find out Domain, Range, Zeros, Increasing and Decreasing interval, local Maximum and Minimum.
• Solve Inequalities from a given graph.

Lesson 1-2 Transformations of Functions

• Transformation Rules of functions
• Transformation of Monster Graph
• Transformation of Parent Functions

Lesson 1-3 Characteristics of Functions

• Evaluate functions
• Find Domain from functions
• Even and Odd Functions
• Find the slope of Secant line
• Use limit to find the Derivative of functions such as linear, Quadratic and rational functions.
• Find the equations of tangent line
• Use derivative to find the vertex form of quadratic functions

Lesson 1-4 Composite Functions

• Evaluate the compositions of functions.
• Find compositions of functions.

Lesson 1-5: Inverse Relations and Functions

• Find inverse functions graphically.
• Find inverse functions algebraically.
• Use Property of inverse function to check whether two functions are inverse algebraically

Lesson 1-6: Attributes of Piecewise and Step Functions

• Graph Piecewise and Step functions

Chapter 2 : Polynomial and Rational Functions

Lesson 2-1: Graph of Polynomial Functions

• End behavior of polynomial functions
• Use Sign Diagram to sketch the polynomial functions

Lesson 2-2: Solving Polynomial Inequalities

• Use Sign Diagram to solve polynomial inequalities

Lesson 2-3: Synthetic Division and Long Division

• Application of Synthetic Division
• Steps of Long Division

Lesson 2-4: Properties of Rational Functions

• How to find the following properties of rational functions--- Dahry: Domain, Vertical Asymptote , Horizontal Asymptote, Oblique Asymptote, Hole Roots, and y-intercept.

Lesson 2-5: Solving Rational Equations and inequalities

• Solving rational equations
• Use Sign Diagram to solve rational inequalities
• Decomposition of fraction

Lesson 2-6: Graphing Rational Functions

• Use sign diagram to estimate rational functions and then sketch it in a graphing paper
• Sketch rational functions