About This Chapter
Below is a sample breakdown of the Functions for Trigonometry 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||Functions||Functions defined, how to identify functions, function notations, a function's domain and range|
|Tuesday||Types of functions||Power functions, radical functions, square root functions, cube root functions, equations, graphs|
|Wednesday||Discontinuities||Discontinuities as found in functions and graphs|
|Thursday||Piecewise functions||Graphing piecewise functions, piecewise functions' domain|
1. What is a Function: Basics and Key Terms
Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.
2. Functions: Identification, Notation & Practice Problems
A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!
3. What Is Domain and Range in a Function?
The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.
4. What is a Power Function? - Definition, Equations, Graphs & Examples
Power functions have many different varieties of graphs. Use this lesson to distinguish the difference between different types of power functions. Test your knowledge with a short quiz after the lesson!
5. What is a Radical Function? - Definition, Equations & Graphs
Radical functions operate very differently than regular functions. This lesson covers the definitions, equations, and graphs that you will need to know to be successful with radical functions.
6. Discontinuities in Functions and Graphs
In this lesson, we talk about the types of discontinuities that you commonly see in functions. In particular, learn how to identify point, jump and asymptotic discontinuities.
7. How to Graph Piecewise Functions
Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.
8. How to Find the Domain of Piecewise Functions
The domain of any function is all the values that x can be for that function. Piecewise functions are special functions that have different parts with unique rules for each part. This lesson will show you how to find the domain for piecewise functions.
9. Transformations: How to Shift Graphs on a Plane
What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!
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Other chapters within the Trigonometry Curriculum Resource & Lesson Plans course
- Real Numbers: Types & Properties Lesson Plans
- Working with Linear Equations Lesson Plans
- Working with Inequalities Lesson Plans
- Absolute Value Equations Lesson Plans
- Working with Complex Numbers Lesson Plans
- Systems of Linear Equations Lesson Plans
- Mathematical Modeling Lesson Plans
- Introduction to Quadratics Lesson Plans
- Working with Quadratic Functions Lesson Plans
- Coordinate Geometry Review Lesson Plans
- Function Operations Lesson Plans
- Graph Symmetry Lesson Plans
- Graphing with Functions Lesson Plans
- Polynomial Functions Basics Lesson Plans
- Higher-Degree Polynomial Functions Lesson Plans
- Rational Functions & Difference Quotients Lesson Plans
- Rational Expressions & Function Graphs Lesson Plans
- Exponential & Logarithmic Functions Lesson Plans
- Using Trigonometric Functions Lesson Plans
- Triangle Trigonometry Lesson Plans
- Trigonometric Graphs Lesson Plans
- Solving Trigonometric Equations Lesson Plans
- Trigonometric Identities Lesson Plans
- Trigonometric Applications Lesson Plans
- Analytic Geometry & Conic Sections Lesson Plans
- Vectors, Matrices & Determinants Lesson Plans
- Polar Coordinates & Parameterizations Lesson Plans
- Circular Arcs, Circles & Angles Lesson Plans