Lesson 7.2: Conic Section

In this lesson, we will review parabolas, ellipses, hyperbolas, and polar equations of conic sections.

View all of the instructional videos, read the provided readings, and practice exercises/activities. These will help you master the objectives for this lesson. Pay attention to additional comments provided.

Lesson Objectives

Upon completion of the lesson 7.2, you will be able to:

• Refresh the concepts learned in Pre-Calculus: parabolas, ellipses, and hyperbolas.

Lesson Content

View all of the following instructional videos. These will help you master the objectives for this module.

1. Conic Sections: Intro to Hyperbolas [13:34]

   1. Source: Khanacademy

1. Conic Sections: Hyperbolas 2 [7:30]

   1. Source: Khanacademy

1. Conic Sections: Hyperbolas 3 [10:29]

   1. Source: Khanacademy

1. Introduction to Conic Sections [4:37]

   1. Source: bullcleo1

1. 01 Draw Ellipse (from TMU 21 – Kepler’s 3 Laws) [1:21]

   1. Source: patatas0

1. 02 Mars triangulation (from TMU 21 – Kepler’s 3 Laws) [1:41]

   1. Source: patatas0

1. Conic Sections, Parabola: Find Equation of Parabola Given Directrix [2:11]

   1. Source: patrickJMT

1. Conic Sections: The Ellipse part 1 of 2 [10:00]

   1. Source: bullcleo1

1. Conic Sections: Ellipses [10:09]

   1. Source: patrickJMT

   2. Part 1:

• 1. Conic Sections, Ellipse: Find the Equation Given the Foci and Intercepts [4:34]

  2. Source: patrickJMT

• 1. Find the Equation of an Ellipse Given Major/Minor Axis Length [2:39]

  2. Source: patrickJMT

• 1. Conic Sections: The Ellipse part 2 of 2 [10:00]

  2. Source: bullcleo1

• 1. Conic Sections: The Hyperbola part 1 of 2 [10:05]

  2. Source: bullcleo1

• 1. Conic Sections: Hyperbolas, An Introduction – Graphing Example [4:34]

  2. Source: patrickJMT

• 1. Conic Sections: Hyperbolas, An Introduction [3:57]

  2. Source: patrickJMT

• 1. Conic Sections, Hyperbola: Find Equation Given Foci and Vertices [3:12]

  2. Source: patrickJMT

1. Find Equation Given Vertices and Asymptotes [4:44]

   1. Source: patrickJMT

• 1. Example 2: [5:30]

• 1. Conic Secitons, Hyperbola, shifted: Find Asymptotes [3:49]

  2. Source: patrickJMT

• 1. Conic Sections: The Hyperbola part 2 of 2 [10:02]

  2. Source: bullcleo1

• 1. Determine What Type of Conic Section from General Form [3:34]

  2. Source: bullcleo1

• 1. Graphing Conic Sections Using Polar Equations [9:47]

  2. Part 1:

  3. Source: bullcleo1

• 1. Part 2: [8:38]

  2. Source: bullcleo1

Lesson Readings

The following required readings cover the content for this module. As you go through each reading, pay close attention to the content that will help you learn the objectives for this module.

1. 2.14 Conic Sections

2. 4. The Parabola [Interactive Mathematics]

3. 5. The Ellipse [Interactive Mathematics]

4. 6. The Hyperbola [Interactive Mathematics]

5. Conic Sections

6. SparkNotes: Conic Sections

Lesson Practice Exercises/Activities

Make your way through each of the practice exercises. This is where you will take what you have learned from the lesson content and lesson readings and apply it by solving practice problems.

1. 2.14 Conic Sections

2. 4. The Parabola [Interactive Mathematics]

3. 5. The Ellipse [Interactive Mathematics]

4. 6. The Hyperbola [Interactive Mathematics]

5. (SV AP*) 10.8 Conic Sections

   1. Click on the HOMEWORK HINTS tab and go to (SV AP*) 10.8 Conic Sections

6. (SV AP*) 10.9 Polar Coordinates

• 1. Click on the HOMEWORK HINTS tab and go to (SV AP*) 10.9 Conic Sections

7. Conic Sections Practice Test [education.com]

Additional Resources

Below are additional resources that help reinforce the content for this module.

1. Introduction to Conic Sections [10:58]

   1. Source: Khanacademy

   2. Conic Sections: Intro to Hyperbolas [13:34]

   3. Source: Khanacademy

• 1. Conic Sections: Hyperbolas 2 [7:30]

  2. Source: Khanacademy

• 1. Conic Sections: Hyperbolas 3 [10:29]

  2. Source: Khanacademy

1. Conic Sections: Parabolas [7:23]

   1. Source: patrickJMT

   2. Part 1:

1. Part 2: [7:27]

• 1. Part 3: [5:10]

• 1. Part 4: [2:39]

• 1. Conic Sections with Polar Equations [Eileen Murray]

  2. 13.4 The Ellipse and Hyperbola

Homework Assignments

Do Homework 7.2 on MyMathLab

Show Your Work Assignment

Show Your Work assignment will be given via Assignment Tool on Laulima. Please check your email for Laulima announcement.

Time to turn in Show Your Work Assignment for this module.

Tests & Quizzes

Start taking the final as soon as possible so that you can take advantage of the opportunity of multiple attempts before the deadline. Refer to course syllabus for the policy of taking exams.