# Ch 23: Geometry Concepts

### 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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### Other Chapters

Other chapters within the ILTS Elementary Education (Grades 1-6) (197-200, 305): Practice & Study Guide course

- Foundations of Literacy
- Language Features & Acquisition
- Selecting Materials for Literacy Instruction
- Developing Emergent Literacy Skills
- Literacy Assessment & Differentiation
- Phonological & Phonemic Awareness
- Decoding & Fluency Teaching Strategies
- Language & Reading Comprehension
- Vocabulary Acquisition & Use
- Reading Comprehension Instructional Strategies
- Analyzing Literary & Informational Texts
- Instructional Strategies for Literary & Text Analysis
- English Grammar Writing Conventions
- Writing Instruction & Feedback
- Instructional Strategies for Different Types of Writing
- Strategies for Teaching Speaking & Listening Skills
- Teaching Counting, Cardinality, Numbers & Operations
- Fraction Operations
- Teaching Operations & Algebraic Thinking
- Overview of Concepts in Algebra
- Principles of Operations & Algebraic Thinking
- Properties & Operations of Functions
- Data Distribution & Graphs
- Permutation & Combination
- Interpreting Statistical & Probability Data
- Mathematical Development & Curriculum
- Measurement & Data
- Scientific Models & Relationships
- Scientific Inquiry & Lab Safety
- Evaluating Scientific Information
- Fundamental Concepts of Physical Science
- Fundamentals of Life Science
- Fundamentals of Earth & Space Science
- Overview of Government & Citizenship
- Overview of Economics & Political Principles for Illinois Educators
- Overview of History & Cultural Development for Illinois Educators
- Fundamentals of Human Geography for Illinois Educators
- Overview of the Arts for Educators
- Overview of Physical Education
- Human Body Systems & Fitness
- Personal, Family & Community Health Overview for Educators
- Illinois Learning Standards
- ILTS Elementary Education (Grades 1-6) Flashcards