# Ch 12: Graph Symmetry: Precalculus Lesson Plans

### About This Chapter

## Weekly Syllabus

Below is a sample breakdown of the Graph Symmetry 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 | Topic | Key Terms and Concepts Covered |
---|---|---|

Monday | Symmetry | Recognizing symmetry; the X-axis and Y-axis |

Tuesday | Algebraic and numerical symmetry | Recognizing symmetry algebraically and numerically |

Wednesday | Identifying symmetry by the origin | Recognizing symmetry graphically, algebraically, and numerically based on the origin |

Thursday | Line of Symmetry | How to find the line of symmetry; parabola and vertex |

Friday | Even & odd functions Tessellations | Definitions and examples |

### 1. Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis

When you fold a piece of paper exactly in half, you are creating symmetry. Symmetry is found in many areas of mathematics. In this lesson, learn to recognize symmetry graphically, algebraically, and numerically about the x- and y- axes.

### 2. Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin

If you look at flowers and fruits, you'll see that many of these items in nature are symmetrical. In this lesson, learn about symmetry about the origin of a graph. When you are finished, test your knowledge with a short quiz!

### 3. Identifying the Line of Symmetry: Definition & Examples

Symmetry can occur in many different ways in mathematics. In this lesson, learn how to identify unique forms of symmetry by finding the line of symmetry.

### 4. Even & Odd Functions: Definition & Examples

Even and odd functions are an aspect of line symmetry. You can use knowledge of even and odd functions to quickly identify equation symmetry. After this lesson, test your knowledge with a short quiz!

### 5. Tessellation: Definition & Examples

In this lesson you will learn what a tessellation is and how to determine whether or not a pattern is a tessellation. After looking at some examples, you can take a brief quiz to see what you learned.

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

### 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
- 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
- Analytic Geometry & Conic Sections: Lesson Plans
- Polar Coordinates & Parameterizations: Lesson Plans
- Continuity: Precalculus Lesson Plans
- Limits: Precalculus Lesson Plans