# High School Precalculus Syllabus Resource & Lesson Plans

• Course type: Self-paced
• Available Lessons: 255
• Average Lesson Length: 8 min
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chapter 1 / lesson 1
What is a Linear Equation?

• High School Precalculus Syllabus Resource & Lesson Plans Practice Test

### Course Summary

Design your high school precalculus syllabus with this comprehensive lesson plan course. Each video lesson is accompanied by a printable transcript you can turn into homework assignments, class discussion topics or rework as an exam for your students.
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#### 32 chapters in High School Precalculus Syllabus Resource & Lesson Plans

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Week {{::cp.getGoalWeekForTopic(0, 32)}}
Ch 1. Linear Equations: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35041].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Linear Equation?
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Lesson 2 - Applying the Distributive Property to Linear Equations
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Lesson 3 - Linear Equations: Intercepts, Standard Form and Graphing
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Lesson 4 - Abstract Algebraic Examples and Going from a Graph to a Rule
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Lesson 5 - Graphing Undefined Slope, Zero Slope and More
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Lesson 6 - Graphs of Parallel and Perpendicular Lines in Linear Equations
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Lesson 7 - How to Write a Linear Equation
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Lesson 8 - Equation of a Line Using Point-Slope Formula
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Lesson 9 - Understanding Numbers That Are Pythagorean Triples
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Week {{::cp.getGoalWeekForTopic(1, 32)}}
Ch 2. Inequalities: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35042].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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Lesson 7 - Translating Math Sentences to Inequalities
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Week {{::cp.getGoalWeekForTopic(2, 32)}}
Ch 3. Absolute Value Equations: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35043].percentComplete}}% complete
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Lesson 1 - What is an Absolute Value?
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Lesson 2 - How to Evaluate Absolute Value Expressions
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Lesson 3 - How to Solve an Absolute Value Equation
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Lesson 4 - Solving Absolute Value Practice Problems
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Lesson 5 - How to Graph an Absolute Value and Do Transformations
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Lesson 6 - Graphing Absolute Value Equations: Dilations & Reflections
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Week {{::cp.getGoalWeekForTopic(3, 32)}}
Ch 4. Complex Numbers: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35044].percentComplete}}% complete
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Lesson 1 - What is an Imaginary Number?
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Lesson 2 - How to Add, Subtract and Multiply Complex Numbers
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Lesson 3 - How to Divide Complex Numbers
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Lesson 4 - How to Graph a Complex Number on the Complex Plane
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Week {{::cp.getGoalWeekForTopic(4, 32)}}
Ch 5. Systems of Linear Equations: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35045].percentComplete}}% complete
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Lesson 1 - What is a System of Equations?
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Lesson 2 - How Do I Use a System of Equations?
Score: {{cp.lessonAssetIdToProgress[560].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[560].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Solve a System of Linear Equations in Two Variables
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Lesson 4 - How to Solve a Linear System in Three Variables With a Solution
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Lesson 5 - How to Solve a Linear System in Three Variables With No or Infinite Solutions
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Week {{::cp.getGoalWeekForTopic(5, 32)}}
Ch 6. Mathematical Modeling: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35046].percentComplete}}% complete
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Lesson 1 - Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures
Score: {{cp.lessonAssetIdToProgress[13791].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13791].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Writing & Evaluating Real-Life Linear Models: Process & Examples
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Lesson 3 - Applying Systems of Linear Equations to Breakeven Point: Steps & Example
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Lesson 4 - Applying Systems of Linear Equations to Market Equilibrium: Steps & Example
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Lesson 5 - Using Quadratic Models to Find Minimum & Maximum Values: Definition, Steps & Example
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Week {{::cp.getGoalWeekForTopic(6, 32)}}
Ch 7. Solving Quadratics: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35047].percentComplete}}% complete
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Lesson 1 - What is a Quadratic Equation? - Definition & Examples
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Lesson 2 - Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero
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Lesson 3 - How to Use the Quadratic Formula to Solve a Quadratic Equation
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Lesson 4 - How to Solve Quadratics That Are Not in Standard Form
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Lesson 5 - Solving Quadratic Inequalities Using Two Binomials
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Lesson 6 - Solving Quadratic Equations by Substitution
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Week {{::cp.getGoalWeekForTopic(7, 32)}}
Ch 8. Quadratic Functions: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35048].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
Score: {{cp.lessonAssetIdToProgress[579].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[579].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Factor Quadratic Equations: FOIL in Reverse
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Lesson 4 - Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient
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Lesson 5 - How to Complete the Square
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Lesson 6 - Completing the Square Practice Problems
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Lesson 7 - How to Solve a Quadratic Equation by Factoring
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Lesson 8 - How to Solve Quadratics with Complex Numbers as the Solution
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Lesson 9 - Graphing & Solving Quadratic Inequalities: Examples & Process
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Lesson 10 - Graphing a System of Quadratic Inequalities: Examples & Process
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Lesson 11 - Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems
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Lesson 12 - Using Quadratic Functions to Model a Given Data Set or Situation
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Week {{::cp.getGoalWeekForTopic(8, 32)}}
Ch 9. Geometry Basics for Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35049].percentComplete}}% complete
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Lesson 1 - Circles: Area and Circumference
Score: {{cp.lessonAssetIdToProgress[8563].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8563].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Graphing Circles: Identifying the Formula, Center and Radius
Score: {{cp.lessonAssetIdToProgress[3420].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3420].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Write the Standard Form of an Equation by Completing the Square
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Lesson 4 - How to Use The Distance Formula
Score: {{cp.lessonAssetIdToProgress[3744].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3744].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Use The Midpoint Formula
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Lesson 6 - How to Solve Visualizing Geometry Problems
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Lesson 7 - How to Calculate the Volumes of Basic Shapes
Score: {{cp.lessonAssetIdToProgress[174].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[174].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Finding Distance with the Pythagorean Theorem
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Lesson 9 - Trigonometry and the Pythagorean Theorem
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Week {{::cp.getGoalWeekForTopic(9, 32)}}
Ch 10. Functions: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35050].percentComplete}}% complete
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Lesson 1 - What is a Function: Basics and Key Terms
Score: {{cp.lessonAssetIdToProgress[154].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[154].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Functions: Identification, Notation & Practice Problems
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Lesson 3 - What Is Domain and Range in a Function?
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Lesson 4 - What is a Power Function? - Definition, Equations, Graphs & Examples
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Lesson 5 - What is a Radical Function? - Definition, Equations & Graphs
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Lesson 6 - Transformations: How to Shift Graphs on a Plane
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Week {{::cp.getGoalWeekForTopic(10, 32)}}
Ch 11. Function Operations: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35051].percentComplete}}% complete
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Lesson 1 - How to Add, Subtract, Multiply and Divide Functions
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Lesson 2 - How to Compose Functions
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Lesson 3 - Applying Function Operations Practice Problems
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Lesson 4 - Compounding Functions and Graphing Functions of Functions
Score: {{cp.lessonAssetIdToProgress[155].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[155].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Domain & Range of Composite Functions: Definition & Examples
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Lesson 6 - Inverse Functions
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Lesson 7 - Understanding and Graphing the Inverse Function
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Lesson 8 - One-to-One Functions: Definitions and Examples
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Lesson 9 - Manipulating Functions and Solving Equations for Different Variables
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Week {{::cp.getGoalWeekForTopic(11, 32)}}
Ch 12. Graph Symmetry: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35052].percentComplete}}% complete
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Lesson 1 - Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis
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Lesson 2 - Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin
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Lesson 3 - Identifying the Line of Symmetry: Definition & Examples
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Lesson 4 - Even & Odd Functions: Definition & Examples
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Lesson 5 - Tessellation: Definition & Examples
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Week {{::cp.getGoalWeekForTopic(12, 32)}}
Ch 13. Graphing with Functions: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35053].percentComplete}}% complete
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Lesson 1 - Graphing Basic Functions
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Lesson 2 - Polynomial Functions: Properties and Factoring
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Lesson 3 - Polynomial Functions: Exponentials and Simplifying
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Lesson 4 - Slopes and Tangents on a Graph
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Lesson 5 - Horizontal and Vertical Asymptotes
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Lesson 6 - Implicit Functions
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Week {{::cp.getGoalWeekForTopic(13, 32)}}
Ch 14. Rate of Change: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35054].percentComplete}}% complete
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Lesson 1 - Velocity and the Rate of Change
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Lesson 2 - Slopes and Rate of Change
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Lesson 3 - What is the Mean Value Theorem?
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Lesson 4 - Rolle's Theorem: A Special Case of the Mean Value Theorem
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Lesson 5 - Derivatives: The Formal Definition
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Lesson 6 - Derivatives: Graphical Representations
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Lesson 7 - What It Means To Be 'Differentiable'
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Week {{::cp.getGoalWeekForTopic(14, 32)}}
Ch 15. Polynomial Functions: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35055].percentComplete}}% complete
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Lesson 1 - Terminology of Polynomial Functions
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Lesson 2 - How to Evaluate a Polynomial in Function Notation
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Lesson 3 - Understanding Basic Polynomial Graphs
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Lesson 4 - Finding Intervals of Polynomial Functions
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Lesson 5 - Short Run & Long Run Behavior of Polynomials: Definition & Examples
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Lesson 6 - How to Graph Cubics, Quartics, Quintics and Beyond
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Lesson 7 - Pascal's Triangle: Definition and Use with Polynomials
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Lesson 8 - The Binomial Theorem: Defining Expressions
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Week {{::cp.getGoalWeekForTopic(15, 32)}}
Ch 16. Advanced Polynomial Functions: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35056].percentComplete}}% complete
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Lesson 1 - Solving Higher Degree Polynomials
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Lesson 2 - How to Add, Subtract and Multiply Polynomials
Score: {{cp.lessonAssetIdToProgress[606].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[606].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples
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Lesson 4 - How to Divide Polynomials with Long Division
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Lesson 5 - How to Use Synthetic Division to Divide Polynomials
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Lesson 6 - Remainder Theorem & Factor Theorem: Definition & Examples
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Lesson 7 - Dividing Polynomials with Long and Synthetic Division: Practice Problems
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Lesson 8 - Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division
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Lesson 9 - Fundamental Theorem of Algebra: Explanation and Example
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Week {{::cp.getGoalWeekForTopic(16, 32)}}
Ch 17. Rational Functions & Difference Quotients: Lesson Plans {{cp.topicAssetIdToProgress[35057].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Solving Equations & Inequalities Involving Rational Functions
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Lesson 2 - Graphing & Analyzing Rational Functions
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Lesson 3 - Finding Slant Asymptotes of Rational Functions
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Lesson 4 - Expressions of Rational Functions
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Lesson 5 - The Geometric Interpretation of Difference Quotient
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Week {{::cp.getGoalWeekForTopic(17, 32)}}
Ch 18. Rational Expressions & Function Graphs: Lesson Plans {{cp.topicAssetIdToProgress[35058].percentComplete}}% complete
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Lesson 1 - How to Multiply and Divide Rational Expressions
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Lesson 2 - Multiplying and Dividing Rational Expressions: Practice Problems
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Lesson 3 - How to Add and Subtract Rational Expressions
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Lesson 4 - Practice Adding and Subtracting Rational Expressions
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Lesson 5 - How to Solve a Rational Equation
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Lesson 6 - Graphing Rational Functions That Have Linear Polynomials: Steps & Examples
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Lesson 7 - Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples
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Lesson 8 - Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range
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Week {{::cp.getGoalWeekForTopic(18, 32)}}
Ch 19. Exponential & Logarithmic Functions: Lesson Plans {{cp.topicAssetIdToProgress[35059].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 - Transformation of Exponential Functions: Examples & Summary
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Lesson 4 - Using the Natural Base e: Definition & Overview
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Lesson 5 - What is a Logarithm?
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Lesson 6 - How to Evaluate Logarithms
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Lesson 7 - Writing the Inverse of Logarithmic Functions
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Lesson 8 - Exponentials, Logarithms & the Natural Log
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Lesson 9 - Basic Graphs & Shifted Graphs of Logarithmic Functions: Definition & Examples
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Lesson 10 - Logarithmic Properties
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Lesson 11 - Practice Problems for Logarithmic Properties
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Lesson 12 - How to Solve Logarithmic Equations
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Lesson 13 - Using the Change-of-Base Formula for Logarithms: Definition & Example
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Lesson 14 - How to Solve Exponential Equations
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Lesson 15 - Calculating Rate and Exponential Growth: The Population Dynamics Problem
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Lesson 16 - Behavior of Exponential and Logarithmic Functions
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Week {{::cp.getGoalWeekForTopic(19, 32)}}
Ch 20. Trigonometric Functions: Precalculus Lesson Plans {{cp.topicAssetIdToProgress[35060].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Trigonometry: Sine and Cosine
Score: {{cp.lessonAssetIdToProgress[176].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[176].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Other Trigonometric Functions: Cotangent, Secant & Cosecant
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Lesson 3 - Unit Circle: Memorizing the First Quadrant
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Lesson 4 - Using Unit Circles to Relate Right Triangles to Sine & Cosine
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Lesson 5 - Practice Problems with Circular Trigonometric Functions