# Ch 1: Overview of Math Concepts

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### About This Chapter

## Overview of Math Concepts Chapter Summary

Lessons in this chapter can teach you to work with the types of mathematical expressions and equations used in the disciplines of algebra, calculus and statistics. Topics of instruction include:

- Algebraic expressions
- Logarithmic functions
- Differential equations
- Probability distributions
- Trigonometric functions
- Polynomial equations

Take advantage of our instructors' expertise to improve your understanding of a specific math concept or take a closer look at topics covered in our full-length math classes. A complete list of course offerings is included below.

### How to Use this Chapter

Our supplemental math video lessons could prove to be a useful study tool if you're looking for quick and easy access to problem-solving steps or the definitions of math vocabulary terms. Use them along with the self-assessment quizzes to enhance your own classroom studies or prepare for an exam. These lessons also supplement the math classes listed below:

### 1. Less Than Symbol in Math: Problems & Applications

The less-than sign is a sign of inequality. It is represented by the < symbol. This lesson will describe the properties of less-than inequalities, show some example problems and provide a quiz at the end.

### 2. What are 2D Shapes? - Definition & Examples

In this lesson, you will find out how a flat piece of paper will help you determine what shapes are considered 2D. You will also learn the wide variety of 2D shapes you may encounter in life.

### 3. Trapezoid: Definition, Properties & Formulas

A trapezoid has one pair of parallel sides. Learn more about the properties and formulas of trapezoids in this lesson. A quiz following the lesson will allow you to solidify what you've learned.

### 4. What is Surface Area? - Definition & Formulas

In this lesson, you use general and specific formulas to learn how to find the surface area of three-dimensional shapes, such as cubes, prisms, spheres, cones and cylinders.

### 5. Using Parentheses in Math: Rules & Examples

In this lesson, we will explore how to use parentheses to clarify numbers, indicate multiplication, and group numbers together for the order of operations. After exploring the rules of parentheses, review your understanding of this lesson with a short quiz.

### 6. Universal Set in Math: Definition, Example & Symbol

After completing this lesson, you will be able to define universal set and write examples of universal sets. You will also be able to utilize universal sets to create subsets of universal sets.

### 7. Complement of a Set in Math: Definition & Examples

After completing this lesson, you will be able to define 'complement of a set' using words and using set notation. In addition, you will be able to identify a complement of a set relative to the set's respective universal set.

### 8. Zero Exponent: Rule, Definition & Examples

The zero exponent rule states that any term with an exponent of zero is equal to one. This lesson will go into the rule in more detail, explaining how it works and giving some examples. There will also be a quiz to test your knowledge.

### 9. Quotient Of Powers: Property & Examples

The quotient of powers rule states that when dividing two powers with the same base, just subtract the exponents. Don't worry if that doesn't make sense off the bat; this lesson will clear everything up, give some examples, and provide a quiz for you to test your knowledge.

### 10. What is Simplest Form? - Definition & How to Write Fractions in Simplest Form

Fractions can be written in a variety of ways; however, you will often be asked to write fractions in their simplest form. In this lesson, learn about what it is and how to write fractions in simplest form. When you are done, assess your learning with a short quiz!

### 11. What is Slope? - Definition & Formulas

The slope is a measure of the steepness of a line, or a section of a line, connecting two points. In this lesson, you will use several different formulas for slope and learn how those formulas relate to the steepness of a line.

### 12. Skewed Distribution: Examples & Definition

Skewed distributions are asymmetrical and have data that clusters toward one end. In this lesson, learn about positively skewed distributions, negatively skewed distributions, and more.

### 13. Change Of Base Formula: Logarithms & Proof

Logarithmic expressions are frequently written with a base that can not be simplified easily. When this happens, you can use the change of base formula to change the base to something that can be worked with. This lesson will show you how to do that, and give some examples followed by a quiz.

### 14. Transformations in Math: Definition & Graph

In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.

### 15. What is Translation in Math? - Definition, Examples, & Terms

In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.

### 16. Fixed Interval: Examples & Definition

In this lesson, you will learn to define fixed interval schedules of reinforcement. Take a look at some examples of fixed interval, and test your knowledge on the subject by taking a quiz.

### 17. Scatterplot and Correlation: Definition, Example & Analysis

A scatterplot is used to graphically represent the relationship between two variables. Explore the relationship between scatterplots and correlations, the different types of correlations, how to interpret scatterplots, and more.

### 18. Dilation in Math: Definition & Meaning

Dilations are transformations that change figures in specific ways. Learn about these changes and how to complete dilations here. Then test your understanding with a quiz.

### 19. Simplifying Fractions: Examples & Explanation

Simplifying fractions requires you to reduce a fraction to its smallest form. This lesson will give two methods for simplifying fractions, and a quiz at the end will allow for some practice.

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### Other Chapters

Other chapters within the Supplemental Math: Study Aid course