About This Chapter
CHSPE Mathematics: Geometry and Measurement - Chapter Summary
This chapter consists of several online video lessons that review some of the topics you may need to address in the CHSPE's mathematics section. Study the Pythagorean theorem and transformations, and review how to identify geometric shapes and find their perimeter and area. Upon completion, you could have the skills necessary to:
- Categorize shapes as planes or polyhedrons
- Define polygons and cylinders, and find their perimeter or surface areas
- Understand maps and scale drawings
- Find the area of circles, prisms, pyramids, cones and spheres
- Understand the basics of the Pythagorean theorem
- List four main mathematics transformations
- Identify the postulates for lines, planes and points
- Use spatial reasoning
- Define similar polygons
- Explore scale factors as they relate to area, volume and perimeter
Get the facts about these and other mathematics concepts so you can ace related questions on the CHSPE. Each of the online lessons is taught by instructors who use conversational language and real-life examples to enliven the learning process. The videos also include colorful graphics, and they can be easily paused while you take the time to absorb the information. There's a timeline feature underneath the videos that show all of the main topics. One click will take you to each section. When you've finished watching a lesson, complete the short quiz that follows it.
CHSPE Mathematics: Geometry and Measurement Chapter Objectives
In addition to the Mathematics section, the CHSPE also features an English-Language Arts category. Overall, there are 98 multiple-choice questions on the examination. The Mathematics section has 50 questions that assess your understanding in the areas of number sense and operations; patterns, relationships and algebra; geometry and measurement; and data, statistics and probability.
This chapter's material may be encountered on the geometry and measurement category of the assessment, which has 14 questions. Apply what you've learned through watching the video lessons about scale drawings, the Pythagorean theorem, transformations, spatial reasoning and more as you pursue a passing grade. It's recommended that you register for the test online, but paper registrations are allowed. The actual testing time is 3.5 hours.
1. 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.
2. 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.
3. How to Read and Interpret Scale Drawings
Watch this video lesson to learn how scale drawings and legends are used on maps and blueprints. Learn skills that will serve you well when traveling and when looking at the blueprints of a car.
4. Finding the Perimeter of Polygons
In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.
5. Circles: Area and Circumference
Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. The Pythagorean Theorem: Practice and Application
The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.
12. Transformations in Math: Definition & Graph
In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.
13. Properties and Postulates of Geometric Figures
In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.
14. Using Spatial Reasoning in Math
In this lesson, you will learn how spatial reasoning is a different way to encourage the development of mathematical skills in young students. You'll also learn what kinds of activities are ideal for spatial reasoning.
15. Similar Polygons: Definition and Examples
Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.
16. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures
How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.
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Other chapters within the CHSPE: Practice & Study Guide course
- CHSPE Language: Grammar & Mechanics
- CHSPE Language: Sentence Structure
- CHSPE Language: Prewriting & Organization
- CHSPE Vocabulary: Understanding Synonyms & Context
- CHSPE Reading Comprehension: Initial Understanding
- CHSPE Reading Comprehension: Interpreting Readings
- CHSPE Reading Comprehension: Critical Analysis
- CHSPE Reading Comprehension: Strategies
- CHSPE Mathematics: Number & Operations
- CHSPE Mathematics: Patterns & Algebraic Equations
- CHSPE Mathematics: Data & Probability
- CHSPE Mathematic Processes: Understanding Math
- CHSPE Mathematic Processes: Estimation & Rounding
- CHSPE Mathematic Processes: Applying Math
- CHSPE Mathematic Processes: Reasoning & Problem Solving