Ch 22: MTTC Mathematics (Elementary): Patterns & Functions

About This Chapter

Review patterns and functions as you get ready to take the MTTC Mathematics (Elementary) exam. Use this chapter to go over how different patterns and functions are used in mathematics.

MTTC Mathematics (Elementary): Patterns & Functions - Chapter Summary

Improve your readiness for the MTTC Mathematics (Elementary) exam by reviewing mathematical patterns and functions with this chapter. You can use these lessons and quizzes to make sure you're ready to answer questions about:

  • Mathematical sequences
  • Tessellation and transformations
  • Function notation
  • Performing different operations with functions
  • Function domain and range
  • Linear, nonlinear and piecewise functions
  • Graphing and translating piecewise functions
  • Using linearization to estimate function values

In addition to engaging videos, you will find full lesson transcripts that you can review while you're preparing for the exam. Via each lesson's Teacher tab, you'll have access to our expert instructors, who can answer any questions you have.

15 Lessons in Chapter 22: MTTC Mathematics (Elementary): Patterns & Functions
Test your knowledge with a 30-question chapter practice test
What is a Mathematical Sequence?

1. What is a Mathematical Sequence?

Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!

Tessellation: Definition & Examples

2. 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.

What is a Function: Basics and Key Terms

3. 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.

Functions: Identification, Notation & Practice Problems

4. 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!

Transformations: How to Shift Graphs on a Plane

5. 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!

How to Add, Subtract, Multiply and Divide Functions

6. How to Add, Subtract, Multiply and Divide Functions

Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

What Is Domain and Range in a Function?

7. 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.

Applying Function Operations Practice Problems

8. Applying Function Operations Practice Problems

In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

What is a Linear Function? - Definition & Examples

9. What is a Linear Function? - Definition & Examples

In this lesson, you will learn the key identifying mark of linear functions. You'll also learn how to graph them with just two points and how you can use the graph to easily find your answers.

Linear and Nonlinear Functions

10. Linear and Nonlinear Functions

After watching this video lesson, you'll be able to tell the differences between linear and nonlinear functions. You'll also be able to identify both types just by looking at graphs.

What are Piecewise Functions?

11. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

How to Find the Domain of Piecewise Functions

12. 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.

How to Graph Piecewise Functions

13. 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.

Translating Piecewise Functions

14. Translating Piecewise Functions

Piecewise functions are two or more functions that only use part of a domain. If these functions need to be changed, we can translate them without even having to know the equation.

How to Estimate Function Values Using Linearization

15. How to Estimate Function Values Using Linearization

Sometimes landing on Mars isn't that easy. You might need to use linearization to estimate if you will crash into the planet, or miss it entirely. Learn how to do just that in this lesson.

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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