Copyright

Ch 18: PECT PAPA: Measuring Geometric Figures

About This Chapter

As you prepare for the Mathematics module of the PECT PAPA exam, use these lessons to review the formulas used to measure the properties of circles, polygons and three-dimensional forms.

PECT PAPA: Measuring Geometric Figures - Chapter Summary

In this review for the Pennsylvania Education Certification Tests (PECT) Pre-service Academic Performance Assessment (PAPA) Mathematics subtest, you can study the formulas used to calculate the properties of different geometric figures. These lesson videos are taught by our professional instructors who explain the process used to find:

  • Properties of two-dimensional shapes
  • Area and circumference of a circle
  • Surface area of three-dimensional forms
  • Measures of angles in geometric figures
  • Properties of right triangles
  • Area and volume of spheres, prisms and cones

Using your computer or mobile device, you can watch these short lesson videos whenever you have some spare time. If you feel that you may benefit from an alternative review of the lessons, read the text transcripts that present the same material but in written overviews. Following these lessons, you can test your mastery of the material by completing the lesson quizzes.

PECT PAPA: Measuring Geometric Figures Chapter Objectives

The PECT PAPA exam is used by the state of Pennsylvania to assess future teachers' understanding of the material as part of the initial certification process. You'll have the option to take the three modules of this exam in one session or three. One of the three modules tests your knowledge of mathematics and includes 36 multiple-choice questions that you must complete in a 75-minute testing session. Use this chapter to prepare for some of these questions that may ask you about finding the properties of geometric figures.

11 Lessons in Chapter 18: PECT PAPA: Measuring Geometric Figures
Test your knowledge with a 30-question chapter practice test
What is Perimeter? - Definition & Formula

1. 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.

Circles: Area and Circumference

2. 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.

What is Surface Area? - Definition & Formulas

3. What is Surface Area? - Definition & Formulas

In this lesson, you use general and specific formulas to learn how to find the surface area of three-dimensional shapes, such as cubes, prisms, spheres, cones and cylinders.

Measuring Angles of Two- & Three-Dimensional Figures

4. Measuring Angles of Two- & Three-Dimensional Figures

Both two-dimensional and three-dimensional figures contain angles. In this lesson, we'll investigate the tools we need to measure these angles through some practice problems.

How to Measure the Angles of a Polygon & Find the Sum

5. How to Measure the Angles of a Polygon & Find the Sum

Watch this video lesson to learn the one formula that lets you find the measure of angles in any regular polygon. Also, learn how you can tell if you are working with a regular polygon or not.

Pythagorean Theorem: Definition & Example

6. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

Area of Triangles and Rectangles

7. 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.

Measuring the Area of a Trapezoid

8. 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.

Spheres: Definition, Area & Volume

9. 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.

Prisms: Definition, Area & Volume

10. 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.

Cones: Definition, Area & Volume

11. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support