# College Precalculus Syllabus Resource & Lesson Plans

• Course type: Self-paced
• Available Lessons: 82
• Average Lesson Length: 8 min
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### Course Summary

This College Precalculus Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach precalculus. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our syllabus as a guide.
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#### 11 chapters in College Precalculus Syllabus Resource & Lesson Plans

Course Practice Test

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Week {{::cp.getGoalWeekForTopic(0, 11)}}
Ch 1. Functions: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34759].percentComplete}}% complete
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Lesson 1 - Functions: Identification, Notation & Practice Problems
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Lesson 2 - Transformations: How to Shift Graphs on a Plane
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Lesson 3 - What Is Domain and Range in a Function?
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Lesson 4 - How to Add, Subtract, Multiply and Divide Functions
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Lesson 5 - How to Compose Functions
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Lesson 6 - Inverse Functions
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Lesson 7 - Applying Function Operations Practice Problems
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Ch 2. Exponential & Logarithmic Functions: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34760].percentComplete}}% complete
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Lesson 1 - What Is an Exponential Function?
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Lesson 2 - Exponential Growth vs. Decay
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Lesson 3 - What is a Logarithm?
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Lesson 4 - How to Graph Logarithms: Transformations and Effects on Domain/Range
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Lesson 5 - How to Evaluate Logarithms
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Lesson 6 - Logarithmic Properties
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Lesson 7 - Practice Problems for Logarithmic Properties
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Lesson 8 - How to Solve Exponential Equations
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Lesson 9 - How to Solve Logarithmic Equations
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Ch 3. Inequalities: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34761].percentComplete}}% complete
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Lesson 1 - What is an Inequality?
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Lesson 2 - How to Graph 1- and 2-Variable Inequalities
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Lesson 3 - Set Notation, Compound Inequalities, and Systems of Inequalities
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Lesson 4 - Graphing Inequalities: Practice Problems
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Lesson 5 - How to Solve and Graph an Absolute Value Inequality
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Lesson 6 - Solving and Graphing Absolute Value Inequalities: Practice Problems
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Week {{::cp.getGoalWeekForTopic(3, 11)}}
Ch 4. Foundations & Linear Equations: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34762].percentComplete}}% complete
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Lesson 1 - What are the Different Types of Numbers?
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Lesson 2 - What Are the Different Parts of a Graph?
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Lesson 3 - What is a Linear Equation?
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Lesson 4 - Linear Equations: Intercepts, Standard Form and Graphing
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Lesson 5 - Abstract Algebraic Examples and Going from a Graph to a Rule
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Lesson 6 - Graphing Undefined Slope, Zero Slope and More
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Lesson 7 - How to Write a Linear Equation
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Lesson 8 - What is a System of Equations?
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Lesson 9 - How Do I Use a System of Equations?
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Ch 6. Quadratic Equations: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34764].percentComplete}}% complete
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Lesson 1 - What is a Parabola?
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Lesson 2 - Parabolas in Standard, Intercept, and Vertex Form
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Lesson 3 - What is a Function? - Applying the Vertical Line Test
Score: {{cp.lessonAssetIdToProgress[3419].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3419].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Multiplying Binomials Using FOIL and the Area Method
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Lesson 5 - How to Factor Quadratic Equations: FOIL in Reverse
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Lesson 6 - Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient
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Lesson 7 - How to Complete the Square
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Lesson 8 - Completing the Square Practice Problems
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Lesson 9 - How to Solve a Quadratic Equation by Factoring
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Lesson 10 - How to Use the Quadratic Formula to Solve a Quadratic Equation
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Lesson 11 - How to Solve Quadratics That Are Not in Standard Form
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Lesson 12 - Graphing Circles: Identifying the Formula, Center and Radius
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Week {{::cp.getGoalWeekForTopic(6, 11)}}
Ch 7. Exponents & Polynomials: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34765].percentComplete}}% complete
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Lesson 1 - What Are the Five Main Exponent Properties?
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Lesson 2 - How to Define a Zero and Negative Exponent
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Lesson 3 - How to Simplify Expressions with Exponents
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Lesson 4 - Rational Exponents
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Lesson 5 - Simplifying Expressions with Rational Exponents
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Lesson 6 - How to Graph Cubics, Quartics, Quintics and Beyond
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Lesson 7 - How to Add, Subtract and Multiply Polynomials
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Lesson 8 - How to Divide Polynomials with Long Division
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Lesson 9 - How to Use Synthetic Division to Divide Polynomials
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Lesson 10 - Dividing Polynomials with Long and Synthetic Division: Practice Problems
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Week {{::cp.getGoalWeekForTopic(7, 11)}}
Ch 8. Piecewise & Composite Functions: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34766].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What are Piecewise Functions?
Score: {{cp.lessonAssetIdToProgress[3421].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3421].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Find the Domain of Piecewise Functions
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Lesson 3 - How to Graph Piecewise Functions
Score: {{cp.lessonAssetIdToProgress[3423].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3423].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Translating Piecewise Functions
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Lesson 5 - How to Evaluate Composite Functions
Score: {{cp.lessonAssetIdToProgress[3416].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3416].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Manipulating Functions and Solving Equations for Different Variables
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Week {{::cp.getGoalWeekForTopic(8, 11)}}
Ch 9. Geometry & Trigonometry: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34767].percentComplete}}% complete
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Lesson 1 - How to Solve Visualizing Geometry Problems
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Lesson 2 - How to Calculate the Volumes of Basic Shapes
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Lesson 3 - Finding Distance with the Pythagorean Theorem
Score: {{cp.lessonAssetIdToProgress[175].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[175].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Trigonometry: Sine and Cosine
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Lesson 5 - Trigonometry and the Pythagorean Theorem
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Week {{::cp.getGoalWeekForTopic(9, 11)}}
Ch 10. Using Scientific Calculators: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34768].percentComplete}}% complete
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Lesson 1 - Radians & Degrees on the CLEP Scientific Calculator
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Lesson 2 - Trigonometry Functions & Exponentials on the CLEP Calculator
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Lesson 3 - Solving Equations on the CLEP Scientific Calculator
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Lesson 4 - How to Solve Equations by Graphing on the CLEP Scientific Calculator
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Week {{::cp.getGoalWeekForTopic(10, 11)}}
Ch 11. Trigonometry: College Precalculus Lesson Plans {{cp.topicAssetIdToProgress[34769].percentComplete}}% complete
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Lesson 1 - Graphing Sine and Cosine
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Lesson 2 - Graphing Sine and Cosine Transformations
Score: {{cp.lessonAssetIdToProgress[14443].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14443].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift
Score: {{cp.lessonAssetIdToProgress[3425].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3425].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Unit Circle: Memorizing the First Quadrant
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Lesson 5 - Using Unit Circles to Relate Right Triangles to Sine & Cosine
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Lesson 6 - Special Right Triangles: Types and Properties
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Lesson 7 - Law of Sines: Definition and Application
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Lesson 8 - Law of Cosines: Definition and Application
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Lesson 9 - The Double Angle Formula
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Lesson 10 - Converting Between Radians and Degrees
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Lesson 11 - How to Solve Trigonometric Equations for X
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Lesson 12 - List of the Basic Trig Identities
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Practice Tests in this course
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Graphing & Rational Equations: College Precalculus Lesson Plans
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