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Ch 33: Honors Algebra 1: Patterns in Math

About This Chapter

Use the lessons in this chapter to develop strategies for identifying and utilizing patterns in math. Take self-assessment quizzes along the way to test your knowledge.

Honors Algebra 1: Patterns in Math - Chapter Summary and Learning Objectives

Finding and using patterns in math is fundamental to solving problems and identifying information. By completing the video lessons in this chapter, you'll explore different techniques for establishing patterns and using them to solve equations. Take self-assessment quizzes as you work your way through the chapter to apply what you've learned. Reach out to an instructor if you need further assistance. In these lessons, you'll examine:

  • The Fibonacci sequence
  • What a mathematical sequence is
  • How to classify geometric sequences
  • Methods for using sigma
  • Ways to calculate both an arithmetic and geometric series

Video Objective
Fibonacci Sequence: Examples, Golden Ratio & Nature Identify the Fibonacci sequence in nature.
What is a Mathematical Sequence? Discover components of mathematical sequences.
How to Find and Classify an Arithmetic Sequence Pinpoint arithmetic sequences.
Finding and Classifying Geometric Sequences Develop an understanding of the common ratio.
Summation Notation and Mathematical Series Examine the use of the Greek letter sigma.
How to Calculate an Arithmetic Series Calculate sum without adding each item.
How to Calculate a Geometric Series Determine a geometric series.
Arithmetic and Geometric Series: Practice Problems Test your knowledge with practice problems.

8 Lessons in Chapter 33: Honors Algebra 1: Patterns in Math
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.

Arithmetic and Geometric Series: Practice Problems

8. Arithmetic and Geometric Series: Practice Problems

There are many different types of problems concerning series and sequences - including some that are pretty abstract. From bouncing balls to adding up odd numbers, test your skills here with additional arithmetic and geometric series practice!

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 Honors Algebra 1 Textbook course

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