About This Chapter
Measuring Geometric Figures - Chapter Summary
While you may remember the basics of determining area or volume, those formulas change when you are measuring different geometric figures. These lessons offer a review of the basic formula for measuring area, and the different formulas you will need to know to accurately measure the areas of rectangles, parallelograms, and circles. Additionally, this chapter will address how to calculate the volume of spheres, cylinders, cones, pyramids, and prisms. By completing this chapter, you should have a better grasp on these topics and the following:
- Circumference and area formulas for circles
- Algebraic expressions in relation to 2D and 3D figures
- The basic properties of triangles
- Finding a triangle's median
- Analyzing complex figures and determining their area
- The area of rectangles compared to the area of triangles
Our brief video lessons are led by expert instructors who aim to present the information in a clear and comprehensible way. While the lessons are in a specific order, you don't have to watch them in order, especially if you are reviewing the information in preparation for a certification test or some other assessment. You'll notice that you also have access to related chapters. The related chapters can help you get up to speed on other mathematics topics that you will need to cover to be ready for your test.
1. 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.
2. 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.
3. 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.
4. 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?
5. Volume of Cylinders, Cones, and Spheres
In this lesson, we'll learn about the volume formulas for cylinders, cones and spheres. We'll also practice using the formula in a variety of real-world examples where knowing how to calculate volume is helpful.
6. Volume of Prisms and Pyramids
In this lesson, we'll learn about prisms and pyramids. We'll look at the different types of prisms and pyramids, as well as practice calculating volume for each shape.
7. 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.
8. Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures
Learning more about algebraic expressions and geometric figures will help you solve problems that occur in your life. In this lesson, you will use the perimeter of a two-dimensional geometric shape to solve a real-world problem.
9. Overview of Three-dimensional Shapes in Geometry
We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.
10. Triangles: Definition and Properties
What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.
11. Median of a Triangle: Definition & Formula
In this lesson, we will look at the definition and properties of a median of a triangle. We will also look at three different formulas to find the length of a median in a triangle.
12. Properties of Shapes: Triangles
Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.
13. 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.
14. 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.
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Other chapters within the MTTC Professional Readiness Examination (096): Practice & Study Guide course
- Basic Number Sense
- Fundamentals of Calculation
- Mathematical Reasoning & Problem-Solving
- Logic in Mathematics
- Expressions, Functions & Operations
- Expressions & Equations in Algebra
- Understanding Algebraic Functions
- Using Algebraic Functions
- Polynomials, Rational Equations & Trigonometric Equations
- Introduction to Basic Geometry
- Relationships Between Figures in Geometry
- Basics of Trigonometry
- Fundamentals of Statistics
- Bivariate Relationships in Statistics
- Using Tables & Graphs
- Interpreting Statistical Data
- Probability Overview
- Introduction to Conditional Probability & Diagrams
- Structure, Analysis & Word Meanings in English
- Literary Themes & Main Ideas
- Strategies for Effective Writing
- Reading Strategies & Literary Analysis
- Critical Reasoning for Test-Taking
- Conventions in Writing: Effective Usage
- Constructing Sentences & Paragraphs
- Argumentative Writing Overview
- Structuring Informational & Explanatory Texts
- MTTC Professional Readiness Flashcards