About This Chapter
Measurement & Geometry Basics - Chapter Summary
This convenient collection of geometry lessons covers the basics of geometry and measurement. These short lessons offer definitions of important geometry components, such as angles, shapes and lines, as well as the formulas for area, perimeter, volume and more. You'll also review standard units of measurements and practice converting them between measurement systems.
The chapter also includes practice problems involving triangles and angles and you'll find many examples of polygons and three-dimensional shapes. Upon completion of the chapter, you should be able to:
- Recognize examples of polygons
- Detail the properties of circles
- Understand points, lines and angles in geometry
- Differentiate between parallel, perpendicular and transverse lines
- Practice solving geometry problems with angles and triangles
- Convert standard units of measurement, including units in the metric system
- Know the formulas for perimeter, area and surface area
- Find the volume of shapes
- Define three-dimensional shapes
These lessons are taught by expert geometry instructors who break down each concept into manageable, bite-sized chunks. This way, you can be sure that you're learning the most important geometry concepts as quickly and efficiently as possible. Included in this chapter are self-assessment quizzes you can take to reinforce your learning, as well as lesson transcripts and an intuitive course Dashboard. If you need to go over any unclear concepts, you can rewatch any video as many times as you need and jump to specific topics using our interactive video timelines.
1. What Are Polygons? - Definition and Examples
Watch this video lesson to see how the shapes that you grew up with are all related. Learn why the shapes of bricks, stars, and street blocks are considered polygons while the sun, moon, and rolling hills are not.
2. Properties of Shapes: Circles
Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.
3. Points, Lines & Angles in Geometry
After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.
4. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
5. Angles and Triangles: Practice Problems
Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.
6. How to Convert Standard Units of Measure
The United States uses pounds, miles, and Fahrenheit for measurements, but the rest of the world uses the metric system. This video lesson will help you to convert from one to the other easily, so you can understand kilometers and kilograms, too.
7. How to Convert Units in the Metric System
If you can make dinner, you can convert units in the metric system. It's that easy! In this lesson, you'll learn about the three key things you'll need to perform conversions.
8. What is Perimeter? - Definition & Formula
In mathematics, the perimeter is the distance around a two-dimensional shape. The formula for finding the perimeter of certain shapes will be discussed in this lesson, and there will be some examples to help you understand how to calculate the perimeter.
9. What is Area in Math? - Definition & Formula
Area is the size of a two-dimensional surface. This lesson will define area, give some of the most common formulas, and give examples of those formulas. A quiz at the end of the lesson will allow you to work out some area problems on your own.
10. 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.
11. Volumes of Shapes: Definition & Examples
Volume is defined as the 3-dimensional space enclosed by a boundary. In this lesson we will define volume, give some of the most common formulas and then work some example problems to become familiar with the formulas. There will be a quiz at the end of the lesson for practice.
12. Overview of Three-dimensional Shapes in Geometry
We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the NYSTCE CST Multi-Subject - Secondary Teachers (241/242/245): Practice & Study Guide course
- Language & Literacy Development
- Language Structures & Literacy Development
- English Morphology, Vocabulary & Grammar
- Understanding Literacy Instruction
- Literacy Assessments
- Text Comprehension Instruction Techniques
- Teaching & Assessing Reading Skills
- Types & Analysis of Literature & Nonfiction
- Writing Instruction Techniques
- Speaking, Listening & Presentation Instruction
- New York Common Core Learning Standards
- Rational & Real Number Systems
- Number Operations & Theory Concepts
- Ratios & Rate Reasoning
- Proportion: Theories & Practical Applications
- Basics of Algebra
- Polynomial Operations
- Basics of Functions
- Composing Functions
- Advanced Middle School Geometry
- Data, Probability & Statistics
- Math Instruction & Assessment
- Scientific Inquiry & Laboratory Safety
- Weather, Geology & the Earth
- Matter, Energy & Force
- Characteristics of Life
- Engineering Tools & Design
- STEM Connections
- Historical Events & New York History
- Geographic Concepts
- Human Development & Interactions
- Civics & Economics in America
- American Government & Civic Duties
- Social Studies Skills
- Visual Arts, Music, Theatre & Dance
- Health, Safety & Well-Being
- Physical & Health Education
- Family & Child Development
- Consumer Economics Overview
- Teacher Career Development
- NYSTCE CST Multi-Subject - Secondary Teachers Flashcards