Pre-Calculus-Version 2.1

 Sem. 1: Algebra of Functions Sem. 2: Trigonometry Functions & Equations Jump to unit: 1 -2 -3 -4 -5 -6 Jump to Unit: 7 - 8 - 9 - 10

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 Review Topics Distance Formula -handout 1 1st Semester Midterm Review 1st Semester Final Review Midpoint Formula -handout 1
 Unit 1: Intro. to Functions & Graphs Lesson Handouts Support Resources Video files will play with the Quicktime plug-in. 1A: Number Sets 1B: Identifying Functions Domain and Range from an equation video Discontinuity video Learnzillion: Domain and Range video Khan Academy: Domain & Range video ; Examples Review 1: 1A-1C 1C: Increasing/ Decreasing Intervals 1D: Average Rate of Change Average Rate of Change introduction video - (video source 2) Sketchpad drawing for Rate of Change 1E: Difference Quotient Review 2: 1D/1E
 Unit 2: Linear and Quadratic Functions and Equations Lesson Handouts Support Resources 2A: Combining and Modeling with Transformations handout 1 - Solutions Angry Bird Parabolas - GSP 2B: Completing the Square and the Vertex Formula handout 1 - Solutions 2C: Quadratic Equations with Complex Solutions Review 2A-2C 2D: Piecewise-Defined Functions 2E: Linear and Quadratic Regression and models Review 2D-2E
 Unit 3: Nonlinear Functions & Equations Lesson Handouts Support Resources 3A: Power Functions with models 3B: Graphing Polynomial Functions and modeling 3C: Polynomial Equations And the Fundamental Theorem of Algebra Intro. to the Fundamental Theorem of Algebra (handout companion video) Fundamental theorem of Algebra Example Video 3D: Rational Functions and Asymptotes Rational Function Handout -3D Solutions Rational Function Graphing Steps video Class example video Unit 3 Review

Midterm Review: Units 1-3

 Unit 4: Exponential, Logistic, and Logarithmic Functions Lesson Handouts Support Resources 4A: Graphing Exponential and Logarithmic Functions 4B: Solving problems with Exponential & Logistic Functions 4C: Solving problems with Logarithmic Function 4C: Using Logarithmic Functions - 4C Solutions Unit 4 Review
 Unit 5: Systems of Equations & Inequalities Lesson Handouts Support Resources 5A: Systems of Equations in Two Variables 5A-1: Solving Systems with 2 variables - Solutions 5A-2: Solving Systems of linear equations with Matrices 5A-1 Solving Systems Video - smaller - larger 5A-2 Solving Systems with Matrices Video: - local (72.5Mb) - on Youtube 5B: Systems of Linear Equations in Three Variables TI Nspire - Intersecting Planes 5C: Systems of Non-Linear Inequalities in Two Variables 5C-2: Linear Programming Unit 5 Review
 Unit 6: Conic Sections Lesson Handouts Support Resources 6A: Conic Sections

1st Semester Final Review: Units 1-6

 Unit 7: Trigonometric Functions Lesson Handouts Support Resources 7A: Angles and Radian Measure Converting to Radian measure video smaller file - larger file 7B: Trigonometry Functions and Angles Six Trigonmetric Functions 7A/B Applications - Solutions Six Trig. Ratios video smaller file - larger file 7C: The Unit Circle and the Circular Functions Part 1 - Circular Functions (Class Lesson video - .wmv) 7D: Law of Sines and Cosines Part 1: The Law of Sines - Solutions Part 2: Law of Cosines - Solutions Part 1 - Law Of Sines video Unit 7 Review
 Unit 8: Graphs of Trigonometric Functions Lesson Handouts Support Resources 8A: Graphs of Sinusoids Graphing Sine Curves smaller file - larger file Bouncing Spring Example 8B: Graphs of the other Trigonometric Functions Graphing Tan & Cot Curves smaller file - larger file 8A-8B Review - Solutions 8C: Composite Graphs of Trigonometric Functions 8D: Graphing Inverse Trigonometric Functions. 8C-8D Review - Solutions
 Unit 9: Analytic Trigonometry Lesson Handouts Support Resources 9A: Fundamental Trigonometric Identities Intro to Trig Identities - Solutions Simplifying Trig. Expressions Solving Trig Equations 1 (basic eqs.) Solving Trig Equations 2 (factoring) Solving Trig Equations 3 (w/substitution) 9B: Proving Trigonometric Identities Proving Trig. Identities Handout (The attached exercises are corrected! If you have an old version, compare it with these problems in the exercises.) - Solutions 9A/9B Review - Solutions Proving Trig Identities Video Examples smaller file - larger file Video Example 1: using common denominators. Video Example 2: Quadratic Factoring 9C: Angle Sum and Difference identities Video: Using Angle Sum Identities smaller file - larger file 9D: Multiple Angle Identities Multiple Angle Identities handout -Solutions Unit 9 Review: Handout - Solutions - Video of Sample problems from Review Handout (.mov)
 Unit 10: Vector, Parametric, and Polar Graphs Lesson Handouts Support Resources 10A: Vectors in the Plane Handout (with Exercises) - Solutions -Resultant Problem Example Video (pg 512-#49) 10B: Dot Products of Vectors Lesson 10B.2 - For handout 2 at left - smaller file - larger file Vector Projections Example Video (pg 520-#45) 10C: Parametric Equations and Motion 10D: Polar Coordinates and Graphs Lesson 10D - For Handout - smaller file - larger file 10A,B,D Review (solutions on last page) - Problem 4 and 7 video solution - (or try a smaller file for easier download)

2nd Semester Final Review: Units 7-10

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