College Precalculus Syllabus Resource & Lesson Plans
 Course type: Selfpaced
 Available Lessons: 82
 Average Lesson Length: 8 min

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chapter 1 / lesson 1Functions: Identification, Notation & Practice Problems
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.to start this course today
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11 chapters in College Precalculus Syllabus Resource & Lesson Plans
Course Practice Test
Check your knowledge of this course with a 50question practice test. Comprehensive test covering all topics
 Detailed video explanations for wrong answers
How It Works
You can use this precalculus course as a template for designing and implementing your course. Here are the key components of the course and how you can use them:
 Chapters  Each chapter covers a unit of precalculus, from function notation to how to use scientific calculators. Use these chapters as mile markers as you map out your course. We recommend planning to spend a week on each chapter, but you can always allocate the chapters according to the length of your specific precalculus course.
 Lessons  Within each chapter are video lessons that further break down topics into bitesized chunks. These lessons cover single topics like graphing sine and cosine or solving exponential equations. Each one is often appropriate for a single class.
 Key Terms  Within each lesson are key terms. These are emphasized on screen and in the transcript. As you develop your syllabus, these key terms help you focus on the most important learning objectives. For example, the lesson on set notation and inequalities includes key terms like 1variable inequality, 2variable inequality, set notation, compound inequality and system of inequalities.
Video Lessons
As you work on your precalculus lesson plans, save time by incorporating video lessons from this resource. Here's how:
 Introduce Topics  Your students will be in the right mindset for understanding topics like the three forms of parabolas if you begin class with a short video. It can be a jumpingoff point for a lecture, group activity or class discussion.
 Break Up Lectures  The video format, which often includes animation, helps students visualize topics like graphing reflections across axes and defining a zero and negative exponent.
 Assign For Homework  Each lesson in the course, from exponential functions to practice problems in completing the square, can be assigned to your students as homework.
Transcripts
Each video lesson includes a complete transcript. You can utilize these transcripts in several ways:
 Lecture Notes  Do you need a guide as you plan a lecture, such as one on inverse functions or parts of a graph? The transcripts cover each topic in depth, with key terms highlighted for quick reference.
 Student Reading  Perhaps you'd like your students to learn about basic trig identities, but you don't have class time available. Assign the transcript as extra reading.
 Study Tools  When it's time for a unit exam on factoring and graphing quadratic equations, you can point your students to the transcripts on multiplying binomials, factoring quadratic equations, solving quadratics that are not in the standard form, graphing circles and related topics to help them study.
Quizzes
Each video lesson has a corresponding quiz. Here's how to use the quizzes:
 Homework  Assign a quiz to your students as homework. You'll receive an email with the results, which enables you to verify they've completed the assignment and that they've understood the material. Questions cover everything from systems of equations to key facts, like the Pythagorean theorem.
 Tests  You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on piecewise functions? There are plenty!
 Discussions  Jumpstart a discussion with questions like: What makes logarithms useful?
Sample Syllabus
Below is a sketch of the precalculus syllabus modeled on an 11week course. This sample can be adapted based on your course schedule. Navigate the chapters and lessons for more detail.
Week  Unit  Sample of Topics Covered 

Week 1  Functions  Function notation, how to shift graphs, inverse functions, function operations 
Week 2  Exponential and Logarithmic Functions  Definition of exponential functions, uses for logarithms, logarithmic properties 
Week 3  Inequalities  Definition of inequalities, how to graph 1 and 2variable inequalities 
Week 4  Foundations and Linear Equations  Types of numbers, fundamentals of graphing, how to write linear equations 
Week 5  Graphing and Rational Equations  How to graph reflections, rational equations, how to determine the lowest common denominator 
Week 6  Quadratic Equations  Definition of parabola, definition of function, quadratic equations, the quadratic formula, 
Week 7  Exponents and Polynomials  Exponent properties, how to graph cubics, quartics, quintics and more, how to add, subtract, multiply and divide polynomials 
Week 8  Piecewise and Composite Functions  Definition of a piecewise function, how to graph piecewise functions, how to solve equations for different variables 
Week 9  Geometry and Trigonometry  Approaches to visualizing geometry problems, how to use the Pythagorean theorem to determine distance, sine and cosine 
Week 10  Using Scientific Calculators  Methods of using scientific calculators with radians, degrees, trigonometry functions and exponentials, how to solve equations with scientific calculators 
Week 11  Trigonometry  Law of sines, law of cosines, ways to graph sine and cosine, the double angle formula, how to solve trigonometric equations for X 
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 Answers and detailed explanations to each question
 Video lessons to explain complicated concepts