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Ch 56: CEOE Advanced Math: Number Patterns & Sequences

About This Chapter

Our study chapter on number patterns and sequences can help refresh your memory for the CEOE Advanced Math exam. Our experienced instructors will take you on a thorough tour of the subject matter and are ready to answer your questions as you study.

CEOE Advanced Math: Number Patterns & Sequences - Chapter Summary

Learn about mathematical sequences, finite and infinite sequences, and arithmetic sequences. These entertaining and comprehensive video lessons were designed to help ensure comprehension and retention of the material and to give you maximum help so you can pass the CEOE Advanced Math exam. Other topics presented for your study in this chapter include:

  • Geometric sequences
  • Fibonacci sequence
  • Pascal's triangle
  • Binomial theorem
  • Factorial notation
  • Use of recursive rules
  • Special sequences

Our video-based lessons are available for perusal and study at your convenience. The lessons come with written transcripts to enhance comprehension of the material and topic-searchable video timelines that allow you to skip to the video-topic you need to review. The lesson quizzes and chapter exam can help make sure you are retaining the lesson content and help you field the kind of questions you are likely to face on the real test.

CEOE Advanced Math: Number Patterns & Sequences Chapter Objectives

The CEOE Advanced Math exam is a teacher certification tool used by the state of Oklahoma. This chapter relates to Subarea V: Probability, Statistics, and Discrete Mathematics, which makes up 14% of the total test score. The four-hour test is computer-based and consists of 80 selected-response and 1 constructed-response question (the latter question reflects all five subareas).

13 Lessons in Chapter 56: CEOE Advanced Math: Number Patterns & Sequences
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!

Introduction to Sequences: Finite and Infinite

2. Introduction to Sequences: Finite and Infinite

In this video lesson, we will learn about the many patterns that are possible in sequences. See how some sequences stop after a while and how some sequences never stop.

Arithmetic Sequences: Definition & Finding the Common Difference

3. Arithmetic Sequences: Definition & Finding the Common Difference

Watch this video lesson to learn the pattern that defines an arithmetic sequence. Learn how to identify arithmetic sequences as well as find the pattern easily. You will also learn the formula you can use to write any number in your sequence.

How to Find and Classify an Arithmetic Sequence

4. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!

Working with Geometric Sequences

5. Working with Geometric Sequences

In this video lesson, we'll learn how to recognize when a sequence of numbers is a geometric sequence, how to find the common ratio and how to expand a sequence to as many numbers as we want!

Finding and Classifying Geometric Sequences

6. Finding and Classifying Geometric Sequences

Want your YouTube video to get a lot of hits? Besides including a cute baby or an adorable cat, getting your video to have a big common ratio is the key. Learn what I'm talking about here!

Fibonacci Sequence: Examples, Golden Ratio & Nature

7. 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.

Pascal's Triangle: Patterns & History

8. Pascal's Triangle: Patterns & History

In this lesson, you will learn about some of the many patterns found within Pascal's triangle, a set of numbers that has been loved by mathematicians for centuries.

What is the Binomial Theorem?

9. What is the Binomial Theorem?

While the F.O.I.L. method can be used to multiply any number of binomials together, doing more than three can quickly become a huge headache. Luckily, we've got the Binomial Theorem and Pascal's Triangle for that! Learn all about it in this lesson.

Binomial Theorem Practice Problems

10. Binomial Theorem Practice Problems

The binomial theorem can be a really helpful shortcut, but it can also be really confusing. Brush up on your skills with this useful rule in these practice problems!

How to Use Factorial Notation: Process and Examples

11. How to Use Factorial Notation: Process and Examples

Watch this video lesson to learn about factorial notation. Understand what it means so that you can handle it like a pro. Also see what happens when we divide factorials.

Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

12. Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

When dealing with sequences in math, both algebraic and geometric, we come across recursive rules. Watch this video lesson to learn how recursion works and how you can use a recursive rule to get to your next number using a previous number.

Special Sequences and How They Are Generated

13. Special Sequences and How They Are Generated

Sequences are interesting things in math and in nature. The most interesting thing is that these sequences have a pattern to how they are generated. We will learn about a few of them in this video 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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Other Chapters

Other chapters within the OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide course

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