About This Chapter
Geometry Concepts - Chapter Summary
In this chapter, you'll find short lessons covering key geometry concepts. We've made it easy to understand topics such as the progression of geometric thinking and the types and properties of plane shapes. You should be able to complete these goals once you finish this chapter:
- Teach students to decompose and compose geometric shapes
- Give the formula used to find perimeter
- Define area as it's used in math and provide the formula used to find it
- Use formulas to find the volume of common shapes
- Explain a plane as it's used in geometry
- Detail the tools and methods used to make geometric constructions
- Outline the geometric constructions using lines and angles
- Discuss the definition and formula of a scale factor
Tackle challenging subjects with ease using this professionally-designed chapter. Our lessons make these concepts accessible and easy to understand. We've also included multiple-choice quizzes with each lesson for quick self-assessment before you move on to new topics.
1. The Progression of Geometric Thinking
Students develop their understanding of geometry in specific stages. But what are those stages, and how can teachers help move students through them? In this lesson, we'll look at the progression of geometric thinking.
2. Plane Shapes: Types & Properties
Plane shapes are all around us, but how do we know what shapes are plane shapes? In this lesson, you will learn what plane shapes are and explore their different types and properties.
3. Teaching Students to Compose & Decompose Geometric Shapes
Learning how to compose and decompose shapes can help students to understand more advanced geometric concepts. This lesson will help you teach students how to compose and decompose various shapes in order to determine perimeter, area, and volume.
4. 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.
5. 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.
6. 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.
7. What is a Plane in Geometry? - Definition & Examples
This lesson will help you understand the geometry concept of a plane. We will discuss how to name planes and look at some example problems. Then, you can check your understanding with a quiz.
8. Methods & Tools for Making Geometric Constructions
Did you know that it's possible to do math without using numbers? This is exactly what Euclid did when he showed how to solve mathematical problems by drawing them out instead of with numbers.
9. Geometric Constructions Using Lines and Angles
Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.
10. 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!
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