Ch 29: Analytic Geometry & Conic Sections: Lesson Plans

About This Chapter

The Analytic Geometry and Conic Sections chapter of this course is designed to help you plan and teach the students in your classroom about terms such as parabolas and hyperbolas. 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 Analytic Geometry and Conic Sections 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 Defining and Graphing Ellipses in Algebra;
How to Write the Equation of an Ellipse in Standard Form
The process of graphing an ellipse equation;
Studying the size and center of an ellipse
Tuesday The Circle: Definition, Conic Sections and Distance Formula;
The Hyperbola: Definition, Vertices, Foci and Graphing
Techniques for determining the distance of a circle;
Finding the center point of a hyperbola
Wednesday How to Write the Equation of a Hyperbola in Standard Form;
The Parabola: Definition and Graphing
The centers, vertices and foci of parabolas;
Graphing the standard form of vertical and horizontal parabolas
Thursday How to Write the Equation of a Parabola in Standard Form A look at this process
Friday How to Identify a Conic Section by its Formulas The formulas for hyperbolas, parabolas, ellipses and circles

8 Lessons in Chapter 29: Analytic Geometry & Conic Sections: Lesson Plans
Test your knowledge with a 30-question chapter practice test
Defining and Graphing Ellipses in Algebra

1. Defining and Graphing Ellipses in Algebra

Watch this video lesson to find out what makes ellipses so unique. Learn what kind of shape an ellipse is, how you can create one yourself and how you can graph an ellipse by just looking at the numbers in the equation.

How to Write the Equation of an Ellipse in Standard Form

2. How to Write the Equation of an Ellipse in Standard Form

In algebra, we have equations that make our life so much easier. Some equations are able to tell us information without hard math. Watch this video lesson to see how the equation of an ellipse does this.

The Circle: Definition, Conic Sections & Distance Formula

3. The Circle: Definition, Conic Sections & Distance Formula

Watch this video lesson, and you will learn what makes a circle a conic section. Also learn how to calculate the circumference of a circle. You will learn about the one important measurement that you need for any circle.

The Hyperbola: Definition, Vertices, Foci & Graphing

4. The Hyperbola: Definition, Vertices, Foci & Graphing

In this video lesson, we'll learn what a hyperbola is and how to graph one using the standard equation to find the center point, vertices and focus points.

How to Write the Equation of a Hyperbola in Standard Form

5. How to Write the Equation of a Hyperbola in Standard Form

When it comes to equations in algebra, there is most always a standard form that provides us with useful information. Watch this video lesson to learn how to write the standard form equation of a hyperbola by using information about the hyperbola.

The Parabola: Definition & Graphing

6. The Parabola: Definition & Graphing

Watch this video lesson to learn what a parabola is and how you can graph it. Find out how to extract useful information from the standard form equation of a parabola to help you graph it.

How to Write the Equation of a Parabola in Standard Form

7. How to Write the Equation of a Parabola in Standard Form

After watching this video lesson, you will be able to write the equation of a parabola in standard form when given just two important points from the parabola. Learn what these two points are and how they relate to the parabola.

How to Identify a Conic Section by Its Formulas

8. How to Identify a Conic Section by Its Formulas

In algebra, we have a formula for everything. Take a cone and slice it and we have a formula for the shape that results. Watch this video lesson to learn how to distinguish between these formulas.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

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

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