Ch 25: Discrete Mathematics: NBPTS Math - Adolescence & Young Adult

About This Chapter

As you prepare for the NBPTS Math - Adolescence & Young Adult exam use these lessons to improve your understanding of the principles and concepts of discrete mathematics, including math combinations, factorials, triangular numbers mathematical sets and more.

Discrete Mathematics: NBPTS Math - Adolescence & Young Adult - Chapter Summary

With the lesson videos in this chapter, you will improve your understanding of what discrete mathematics is and some of its functions, components and theories. Watch these lesson videos and follow along with our expert instructors as they explain:

  • What combinations are in math and how to use them
  • How to solve problems with factorials
  • The Fibonacci Sequence and how it relates to nature and the Golden Ratio
  • Applications of triangular numbers
  • Elements of mathematical sets
  • Examples of finite sets and how they differ from infinite sets
  • Calculations for sums of infinite geometric series
  • Key concepts and terms of graph theory

Following these lesson videos, you can reinforce your understanding of the material by reading the lesson transcripts. Then, test this understanding by completing the lesson quizzes. After each quiz, you will be able to review your results and find topics you don't understand, so that you may then use the provided links to jump directly to the portions of the lesson that discuss these topics.

9 Lessons in Chapter 25: Discrete Mathematics: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
Math Combinations: Formula and Example Problems

1. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

What Is a Factorial?

2. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

Factorial Practice Problems

3. Factorial Practice Problems

While the definition of factorial isn't complicated, it's easy to make them trickier by throwing a lot of them together and adding in some fractions. Test your skills here with some algebraic examples that make you use factorials without many numbers.

Fibonacci Sequence: Examples, Golden Ratio & Nature

4. Fibonacci Sequence: Examples, Golden Ratio & Nature

The Fibonacci sequence is seen all around us. Learn how the Fibonacci sequence relates to the golden ratio and explore how your body and various items, like seashells and flowers, demonstrate the sequence in the real world.

What Are Triangular Numbers? - Definition, Formula & Examples

5. What Are Triangular Numbers? - Definition, Formula & Examples

Triangular numbers are used to describe the pattern of dots that form larger and larger triangles. This lesson will explore the rule behind this pattern and how it can be applied to find any term in the sequence.

Finite Set: Definition & Overview

6. Finite Set: Definition & Overview

After completing this lesson, you will be able to define what a finite set is and give examples of a finite set. You will also be able to explain the difference between a finite set and an infinite set.

Understand the Formula for Infinite Geometric Series

7. Understand the Formula for Infinite Geometric Series

Watch this video lesson to learn how to calculate the sum of an infinite geometric series. Learn about the interesting thing that happens when your common ratio is less than one.

Mathematical Sets: Elements, Intersections & Unions

8. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

Graph Theory Concepts and Terminology

9. Graph Theory Concepts and Terminology

After watching this video lesson, you will better understand the workings of a graph in graph theory. Learn the key terms that you will see and what they look like on the graph. Also, learn how to navigate a graph.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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 National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

Support