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Ch 23: MTEL Middle School Math/Science: Sequences & Series

About This Chapter

Use the lessons of this chapter to improve your understanding of the Fibonacci sequence, arithmetic sequences, geometric sequences and summation notation as you prepare for the MTEL Mathematics/Science (Middle School) exam.

MTEL Middle School Math/Science: Sequences & Series - Chapter Summary

Watch our expert instructors in this series of lesson videos to review the different types of arithmetic and geometric sequences as well as the summation notations of mathematical series. After exploring these lessons, you should be better prepared for questions on the Massachusetts Test for Educator Licensure (MTEL) Mathematics/Science (Middle School) exam about:

  • The golden ratio in nature and the Fibonacci sequence
  • Finding and classifying arithmetic and geometric sequences
  • Using sigma and the summation notation of mathematical series
  • Calculating arithmetic and geometric sequences

Once you watch a lesson, read its lesson transcript for a written overview of the material presented in it. Also, take the lesson quiz that accompanies it to identify the subjects you didn't comprehend and then use the video tags for review purposes.

MTEL Middle School Math/Science: Sequences & Series Objectives

The MTEL Mathematics/Science (Middle School) is a computer-based certification exam used by the state of Massachusetts to test the mathematical and scientific knowledge of potential middle-grades math and science teachers. During this exam, you will be asked to answer a series of 100 multiple-choice questions and two open-response assignments, in a four-hour testing session. Twelve percent of your score on this exam will be based on your responses to questions about patterns, relations and algebra. Use this chapter to prepare for the questions that will ask you about mathematical series and sequences.

7 Lessons in Chapter 23: MTEL Middle School Math/Science: Sequences & Series
Test your knowledge with a 30-question chapter practice test
Fibonacci Sequence: Examples, Golden Ratio & Nature

1. 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 is a Mathematical Sequence?

2. 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!

How to Find and Classify an Arithmetic Sequence

3. 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!

Finding and Classifying Geometric Sequences

4. 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!

Summation Notation and Mathematical Series

5. Summation Notation and Mathematical Series

The capital Greek letter sigma might be most recognizable as a common symbol in a fraternity or sorority, but it's used for some pretty cool math tricks too. In this lesson, learn how to use sigma for things like determining how many seats are in Michigan Stadium.

How to Calculate an Arithmetic Series

6. How to Calculate an Arithmetic Series

In this lesson, you'll learn how to sum up any arithmetic sequence without having to add up each and every term. You'll never guess the circumstances that led to the discovery of this marvelous formula.

How to Calculate a Geometric Series

7. How to Calculate a Geometric Series

If you're not satisfied with knowing how many views your YouTube video will get any one day and need to know how many total views you're getting, geometric series are for you! Learn more 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.
Not Taken

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Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

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