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Ch 30: Polar Coordinates & Parameterizations: Lesson Plans

About This Chapter

The Polar Coordinates and Parameterizations chapter of this course is designed to help you plan and teach the students in your classroom about the processes of evaluating parametric equations, graphing functions in polar coordinates and more. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Polar Coordinates and Parameterizations chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Graphing Functions in Polar Coordinates: Process and Examples;
Complex Numbers in Polar Form: Process and Examples
Changing from a Cartesian coordinate point to a polar coordinate point;
Formulas for calculating the power of complex numbers
Tuesday Evaluating Parametric Equations: Process and Examples;
Converting Between Parametric and Rectangular Forms
An outline of the required steps;
The processes for converting back and forth between the two forms
Wednesday Graphs of Parametric Equations The steps necessary for eliminating the parameter or finding different points
Thursday Parametric Equations in Applied Contexts Real-life applications for parametric equations
Friday Conic Sections in Polar and Parametric Forms The differences between parametric, polar and standard forms

7 Lessons in Chapter 30: Polar Coordinates & Parameterizations: Lesson Plans
Test your knowledge with a 30-question chapter practice test
Graphing Functions in Polar Coordinates: Process & Examples

1. Graphing Functions in Polar Coordinates: Process & Examples

After watching this video lesson, you will be able to convert any Cartesian coordinate point into a polar coordinate point. You will also learn how to plot these points.

Complex Numbers in Polar Form: Process & Examples

2. Complex Numbers in Polar Form: Process & Examples

After watching this video lesson, you will be able to convert complex numbers from rectangular form to polar form easily by following the formulas you will see here. You will also learn how to find the power of a complex number.

Evaluating Parametric Equations: Process & Examples

3. Evaluating Parametric Equations: Process & Examples

After watching this video lesson, you will be able to evaluate a parametric equation for any given parameter. Learn the steps involved and what the complete answer looks like.

Converting Between Parametric & Rectangular Forms

4. Converting Between Parametric & Rectangular Forms

There are all kinds of ways of writing equations. Learn about parametric equations in this video lesson. Learn how you can convert between parametric equations and their equivalent rectangular equations.

Graphs of Parametric Equations

5. Graphs of Parametric Equations

Watch this video lesson to learn how you can go about graphing parametric equations. Learn the simplest way to graph parametric equations by eliminating the parameter.

Parametric Equations in Applied Contexts

6. Parametric Equations in Applied Contexts

Watch this video lesson to learn how you can use parametric equations to help you solve real world problems such as the path of a moving object. Learn how to form parametric equations to model the real world.

Conic Sections in Polar & Parametric Forms

7. Conic Sections in Polar & Parametric Forms

After watching this video lesson, you will learn to distinguish between the standard form equations for conic sections, the parametric form equations and the polar form equations.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the High School Precalculus Syllabus Resource & Lesson Plans course

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