# Ch 11: Praxis I Math: Geometric Measurement and Dimension

### About This Chapter

## Praxis I Math: Geometric Measurement and Division

This chapter is structured to aid you in learning more about geometric properties, the xy-coordinate plane, geometric reasoning and systems of measurement as you ready yourself to take the Praxis I Math exam. Specific topics in our video lessons include:

- Triangle and angle practice problems
- Area of rectangles and triangles
- Surface area
- The volume of basic shapes

Each topic will be fully dissected by video instructors who will also offer you advice on how you can use the information you learn on the actual exam. Several different approaches will be used throughout the lessons to keep the chapter engaging and to make sure that you're ready for the Praxis.

### Objectives of the Praxis I Math: Geometric Measurement and Dimension Chapter

The goal of the Praxis I Math exam is to measure the mathematical skills and ideas that an educated adult could need. The test also focuses on the top mathematical ideas as well as the test taker's ability to solve problems and reason in a quantitative context. Each video lesson is design to assist you with the geometry and measurement portion of the Praxis, which is about 22.5% of the exam. Typically, there are ten questions on the skills test related to measurement and geometry. You'll have 75 minutes to finish all 46 multiple choice questions on the test. You'll get a first-hand glimpse of how questions are designed on the actual test as you complete the self-assessment quizzes in addition to seeing how well you'll be able to use the methods you learn on the Praxis.

### 1. 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.

### 2. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

### 3. Interior and Exterior Angles of Triangles: Definition & Examples

Knowing just a few things about the interior or exterior angles of triangles is sometimes all you need to put all the pieces together. Find out more in this lesson.

### 4. Measuring the Area of Regular Polygons: Formula & Examples

Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.

### 5. Measuring the Area of a Trapezoid

In this video lesson, you will watch and learn how you can find the area of trapezoid. Learn what measurements you need to have on hand as well as the formula that you need to use.

### 6. Measuring the Area of a Parallelogram: Formula & Examples

Watch this video lesson to learn the simple formula to find the area of a parallelogram. Learn what measurements you need, how to label your parallelogram, and how to use the formula.

### 7. Measuring the Area of a Rectangle: Formula & Examples

Look around you, and you see rectangles all over the place. And if you see paint, carpet, or anything that covers a rectangular area, you can be sure that someone has measured the area of the rectangle. Watch this video lesson to learn more.

### 8. Measuring the Area of a Rhombus: Formula & Examples

Did you know that there are three ways to find the area of a rhombus? Watch this video lesson to learn all three of them. See what information you need for each method as well as the steps required for each.

### 9. Combined Figures: Perimeter, Area, and Volume

Watch this video lesson to learn how you can break up the shapes in a combined figure to easily find the perimeter, area, and volume of the whole figure.

### 10. Area of Complex Figures

Finding the area of shapes isn't always as simple as it is with squares and rectangles. In this lesson, you'll learn how to find the area of complex figures. This includes finding the area of unusual shapes and finding the area of parts of shapes.

### 11. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

### 12. 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.

### 13. 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.

### 14. 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.

### 15. 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.

### 16. 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.

### 17. How to Find Surface Area of a Cube and a Rectangular Prism

After watching this video lesson, you will be able to use the formula for the surface area of a rectangular prism. You will know what measurements you need to use it and how you can apply it to a cube as well.

### 18. How to Find Surface Area of a Cylinder

Watch this video lesson to learn the formula you can use to find the surface area of a cylinder. Learn the measurements that you'll need as well as how to use them.

### 19. How to Find Surface Area of a Pyramid

In this video lesson, we will learn how to take any pyramid, whether it's a pyramid in Egypt or a little toy pyramid, and calculate how much paint we will need to paint it. Learn the formula and what is behind it.

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### Other Chapters

Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5732): Study Guide & Practice course

- About the Praxis Math Core Test
- Praxis I Math: The Real Number System
- Praxis I Math: Square Roots and Exponents
- Praxis I Math: Ratio and Proportions
- Praxis I Math: Algebraic Expressions
- Praxis I Math: Equations and Inequalities
- Praxis I Math: Functions
- Praxis I Math: Congruence and Similarity
- Praxis I Math: Right Triangles and Trigonometry
- Praxis I Math: Circles
- Praxis I Math: Basic Statistics and Probability
- Praxis I Math: Categorical and Quantitative Data
- Praxis Core Academic Skills for Educators: Math Flashcards