About This Chapter
Numerical, Geometric & Algebraic Relationships - Chapter Summary
This convenient math resource helps you review numerical, geometric and algebraic relationships. The chapter includes definitions and formulas related to several mathematical concepts, such as scale factors, ratios, fractions, integers, equations and more. You'll get practice working with decimals and define essential geometry and algebra vocabulary terms. Finally, you'll practice solving a variety of algebraic equations. Upon completion of this chapter, you'll be able to:
- Recognize examples of integers
- Identify types of fractions
- Work with decimals
- Know what a percent is
- Write the scale factor formula
- Compare ratios and proportions
- Understand basic geometry concepts, terms, rules and formulas
- Interpret algebra vocabulary
- Solve algebraic equations
The lessons in this chapter are taught by expert math instructors who design each lesson to be bite-sized and engaging. This simplified and straightforward teaching style helps you quickly review and retain the information covered. Self-assessment quizzes and lesson transcripts are included to supplement your study and help you retain the information. If you need to locate a specific topic, you can easily find it using your course Dashboard and interactive video timelines. Our instructors are available to answer your questions, and you can access the course material at any time and place that fits your schedule, whether it's at home, on-the-go, in the office or at school.
1. What are Integers? - Definition & Examples
In this lesson, we will learn about integers - what they are and what distinguishes them from other types of numbers. We'll also take a look at a few examples of things that can or cannot be measured with integers.
2. What is a Fraction? - Definition and Types
Fractions may be your friend's worst nightmare, but they don't have to be yours. Watch this video lesson to learn about fractions and how you can understand them easily. Also, learn to identify the different types of fractions.
3. Working with Decimals
After watching this video lesson, you will become well acquainted with decimals and how to work with them. Learn how you can use them to help you describe what is going on around you.
4. What is a Percent? - Definition & Examples
Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.
5. What is a Scale Factor? - Definition, Formula & Examples
How does a carpenter know the correct length of a room on a blueprint? How can a graphic designer tell if an enlarged picture will be distorted? Learn what a scale factor is and how you can use it in this article!
6. Ratios and Proportions: Definition and Examples
Watch this video lesson to learn how ratios and proportions are related. Also, learn how ratios and proportions are used in real life and how you can apply them to yours.
7. Basic Geometry: Concepts & Terms
Geometry is the study of shapes and the space that they inhabitant. One-dimensional geometry is concerned with distance. Two-dimensional geometry is concerned with area. Three-dimensional geometry is concerned with volume.
8. Basic Geometry: Rules & Formulas
In this lesson, we'll go over some of the basic formulas and rules in geometry, the study of shapes and space. You'll learn formulas to find the perimeter, area, volume, and surface area of two-dimensional and three-dimensional shapes.
9. Algebra Vocabulary Terms
Watch this video lesson to learn about some basic vocabulary words that you will come across again and again in the course of your studies in algebra. After you finish this video, you should know and be able to identify each term.
10. Solving Algebraic Equations: Definition & Examples
If you shouted, 'Hey! Why are there letters in my math?' the first time you saw algebra, then you definitely want to check out this lesson where we'll learn why we use letters for mathematics. (Hint: it isn't to drive you crazy.)
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