Ch 38: NES Middle Grades Math: Polyhedrons & Geometric Solids

About This Chapter

Get a run-down of the mathematics of three-dimensional shapes in this chapter preparing you for the NES Middle Grades Mathematics test. Check out the self-assessments to practice taking tests and guide your follow-up review.

NES Middle Grades Math: Polyhedrons & Geometric Solids - Chapter Summary

The lessons in this chapter bring instruction on working with the insides and outsides of three-dimensional shapes. Preparing for the National Evaluation Series (NES) Middle Grades Mathematics exam is made simple, memorable, and flexible in these brief and entertaining videos taught by experienced math instructors. Among the topics in this chapter you will find instruction on:

  • Types and characteristics of polyhedrons
  • How to count faces, vertices, and edges of polyhedrons
  • Three-dimensional shapes from several views
  • Three-dimensional nets
  • Platonic solids
  • Area and volume in prisms, pyramids, cylinders, cones, and spheres

Our study platform truly makes your test-prep easy, even enjoyable. We focus on delivering short videos with a very narrow topic so you can plan out your studies and review only those areas you know you must practice working with. Our instructors keep the lessons lively, using fun characters and examples to drive home key concepts. The assessments help you measure your understanding of the information and direct you back to related content in the videos to get additional doses of instruction when needed.

NES Middle Grades Math: Polyhedrons & Geometric Solids Chapter Objectives

The content domain in the NES Middle Grades Mathematics exam which deals with three-dimensional shapes is the Measurement and Geometry domain, accounting for 25% of the test content. In this domain is objective 0008, Euclidean geometry, which requires you to analyze three-dimensional figures. The test has 150 multiple-choice questions and a four-hour, fifteen-minute time limit overall. Passing the exam requires a scaled score of at least 220 on the 100-300 scale.

The NES website has a more in-depth breakdown of test content as well as information on registration and scoring. Be sure to check your state's educator licensure website as well to make sure you are taking the correct test and registering in the right place.

11 Lessons in Chapter 38: NES Middle Grades Math: Polyhedrons & Geometric Solids
Test your knowledge with a 30-question chapter practice test
Types of Polyhedrons

1. Types of Polyhedrons

After watching this video lesson, you will know how to identify polyhedrons and you will become familiar with the common types of polyhedrons found in the world. You will also see real-world examples of polyhedrons in action.

Counting Faces, Edges & Vertices of Polyhedrons

2. Counting Faces, Edges & Vertices of Polyhedrons

After watching this video lesson, you will be able to count how many faces, edges, and vertices a polyhedron has. Also, you will learn how the number of faces, edges, and vertices are related.

Front, Side & Top View of 3-Dimensional Figures

3. Front, Side & Top View of 3-Dimensional Figures

This lesson goes over the front, side, and top views of numerous 3-dimensional figures. You'll learn that while some look exactly the same from most angles, others do not.

Nets of 3-Dimensional Figures

4. Nets of 3-Dimensional Figures

After watching this video lesson, you will be able to deconstruct a 3-dimensional figure into its 2-dimensional net. Learn what kind of shape you will get after opening and flattening your 3-dimensional figure.

Planes and the Polyhedron: Definition and Example

5. Planes and the Polyhedron: Definition and Example

Did you ever wonder what the pyramids in Egypt have to do with math? Watch this video to find out where in math a pyramid comes into play. Also, learn how flat, 2-dimensional shapes also come into play.

What Are Platonic Solids? - Definition and Types

6. What Are Platonic Solids? - Definition and Types

Watch this video lesson, and you will learn that there are only five platonic solids in the whole world. You will also learn what they look like and see real-life examples.

Prisms: Definition, Area & Volume

7. Prisms: Definition, Area & Volume

Watch this video lesson and you will see that there are different kinds of prisms. You will also learn how to separate a prism into its various parts so you can easily find the surface area. You will also learn the formula for the volume.

Pyramids: Definition, Area & Volume

8. Pyramids: Definition, Area & Volume

Do you think of the great pyramids of Egypt when you hear the word pyramids? Watch this video lesson to learn why they are called pyramids and also how to find their surface area and volume.

What Are Cylinders? - Definition, Area & Volume

9. What Are Cylinders? - Definition, Area & Volume

Watch this video lesson to learn why soda cans are cylinders and the method by which you can discover how much soda can fit inside by finding the volume. You will also learn about finding a cylinder's surface area.

Cones: Definition, Area & Volume

10. Cones: Definition, Area & Volume

Watch this video lesson to learn where in the real world you will see cones. Also, you will learn the formulas for finding the surface area and volume of these cones.

Spheres: Definition, Area & Volume

11. Spheres: Definition, Area & Volume

Watch this video lesson to learn how you can find the surface area and volume of spheres. Learn the formulas and measurements you need to solve problems and discover how to identify spheres in the real world.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the NES Middle Grades Mathematics (203): Practice & Study Guide course

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