# Ch 29: Analytic Geometry & Conic Sections: Lesson Plans

### About This Chapter

## 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 |

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

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

- Linear Equations: Precalculus Lesson Plans
- Inequalities: Precalculus Lesson Plans
- Absolute Value Equations: Precalculus Lesson Plans
- Complex Numbers: Precalculus Lesson Plans
- Systems of Linear Equations: Precalculus Lesson Plans
- Mathematical Modeling: Precalculus Lesson Plans
- Solving Quadratics: Precalculus Lesson Plans
- Quadratic Functions: Precalculus Lesson Plans
- Geometry Basics for Precalculus Lesson Plans
- Functions: Precalculus Lesson Plans
- Function Operations: Precalculus Lesson Plans
- Graph Symmetry: Precalculus Lesson Plans
- Graphing with Functions: Precalculus Lesson Plans
- Rate of Change: Precalculus Lesson Plans
- Polynomial Functions: Precalculus Lesson Plans
- Advanced Polynomial Functions: Precalculus Lesson Plans
- Rational Functions & Difference Quotients: Lesson Plans
- Rational Expressions & Function Graphs: Lesson Plans
- Exponential & Logarithmic Functions: Lesson Plans
- Trigonometric Functions: Precalculus Lesson Plans
- Trigonometric Graphs: Precalculus Lesson Plans
- Solving Trigonometric Equations: Lesson Plans
- Trigonometric Identities: Precalculus Lesson Plans
- Trigonometric Applications: Precalculus Lesson Plans
- Graphing Piecewise Functions: Precalculus Lesson Plans
- Vectors, Matrices & Determinants: Lesson Plans
- Mathematical Sequences & Series: Lesson Plans
- Sets in Algebra: Precalculus Lesson Plans
- Polar Coordinates & Parameterizations: Lesson Plans
- Continuity: Precalculus Lesson Plans
- Limits: Precalculus Lesson Plans