Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

Are you a student or a teacher?

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Watch this video lesson to learn what area is and how you can count to find the area of certain shapes. You will see how you can use blocks to help you visualize the problem and find your answer.

In this lesson, you will learn how to find the area of various shapes. What is area? **Area** is defined as the amount of space inside a two-dimensional object. Usually, these objects are your shapes, such as rectangles, triangles, squares, and circles. So, if you drew one of these shapes on a piece of paper, the amount of space contained in one of these shapes is the area of that shape. This amount of space could be bigger than the actual amount of paper space contained inside the shape if the shape drawn represents something larger. There are various ways of finding the area. The method that you will learn in this lesson is called the counting method.

The **counting method** of finding the area involves counting the number of squares inside the shape. Where do these squares come from? If you draw your shapes on grid paper or on a coordinate plane, then these squares come from the units on the *x*- and *y*-axes. Each square represents one square unit of the grid. Each unit can represent centimeters or inches or any other measurement unit. Which measurement unit each square represents depends on the problem or what you have specified each square to be. For example, this rectangle drawn on the coordinate plane has an area of 8 square inches because it contains 8 squares and each square is specified to be 1 square inch:

You can count the squares one by one and you will find 8 squares. Hence, the name of this method: counting method. There is one thing that you have to be super careful about and that is the units. Notice how I put that the area inside this rectangle is 8 square inches. Notice the word square. Whenever you are working with area, you have to use this word for all your units. So, if your units are feet, you have to say square feet. If your units are centimeters, then you have to say square centimeters.

The counting method is not suitable for calculating all areas. Specifically, the counting area is useful for calculating the area of those shapes that can be drawn nicely on the coordinate plane. It is possible to draw things to scale on the coordinate plane. In this case, you can set each square to be equal to your scale. For example, if 1 inch is equal to 12 inches in your scale, you can set each square to be equal to its scaled area of 12 * 12 = 144 square inches. Let's look at a couple more examples now.

*Find the area of this shape. The units are in feet.*

The nice thing about the counting method is that as long as the shapes are on grid paper or the coordinate plane, you can simply count the number of squares contained inside the shape. Counting the squares inside this shape, you get a total of 16 squares. So, the area of this shape is 16 square feet.

Let's try another one:

*Find the area of this shape. The units are in centimeters.*

You can see the shape does not have to be a rectangle or square. Here in this shape, you actually see a diagonal line. You see that this diagonal line is cutting your squares in half. So how do you count these? You count a half square for each square that is cut in half. You see four such squares cut in half, so your count will equal 2 whole squares for this part. You add this to the count of the other whole squares. The count of the other whole squares equal 18. So, your total count is 20 squares. The area of this shape, then, is 20 square centimeters.

What have you learned? **Area** is defined as the amount of space inside a two-dimensional object. The **counting method** of finding the area involves counting the number of squares inside the shape. It's actually a very simple process, which involves the counting of whole squares. These whole squares come from the units of the *x*- and *y*-axes on the coordinate plane or the squares on a grid paper. The units for area are always squared. Each square can represent any kind of measurement unit, either specified by the problem or by you.

Once you are finished, you should be able to:

- Define
*area* - Find the area of a shape using the counting method

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackDid you know… We have over 160 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

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.

You are viewing lesson
Lesson
3 in chapter 33 of the course:

Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

- What is Perimeter? - Definition & Formula 8:31
- Perimeter of Triangles and Rectangles 8:54
- Area: Definition & Counting Method 4:06
- Measuring the Area of a Rhombus: Formula & Examples 6:30
- Measuring the Area of a Rectangle: Formula & Examples 4:40
- Measuring the Area of a Trapezoid 4:38
- Area of Triangles and Rectangles 5:43
- Go to 6th-8th Grade Measurement: Perimeter & Area

- Understanding & Influencing Consumer Behavior
- DSST Ethics in Technology
- DSST Introduction to Geology: Practice & Study Guide
- Chemistry 304: Organic Chemistry II
- ILTS Information Guide
- Contemporary Issues & Influences in Education
- Technological Issues in Education
- FSA - Grade 6 ELA: Poetry Analysis
- Mapping the Earth
- Professional Issues in Education
- Texas Teacher Certification Test Limit Waiver
- AFOQT Cost
- What Does the HESI A2 Nursing Exam Consist of?
- How to Learn Pharmacology for NCLEX
- What Are Considered Higher-Level Questions on the NCLEX?
- How to Study for NCLEx in 2 Weeks
- How Hard Is the ASVAB

- What is a Class in Java? - Definition & Examples
- Delivering Instructional Feedback in Physical Education Settings
- Assessment of Student Fitness & Physical Education Skills
- Application Programming Interface (API): Definition & Example
- Layers in the TCP/IP Network Stack: Function & Purpose
- Practical Application for Database Programming: Database Creation in Oracle Database Express
- Virtual Machines: Types & Life Cycle
- Consumer Reference Groups: Types & Examples
- Quiz & Worksheet - Determining the Importance of System Analysis
- Quiz & Worksheet - Classroom Technology Ethics
- Quiz & Worksheet - Encouraging Physical Activity Among Students & the Community
- Quiz & Worksheet - Modeling PE Programs with National & State Standards
- Quiz & Worksheet - Cerebellar Atrophy
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies

- Holt Geometry: Online Textbook Help
- National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide
- STAAR English lll: Test Prep & Practice
- Criminal Justice 101: Intro to Criminal Justice
- Anthropology 101: General Anthropology
- Government Regulation of Business
- Graphing & Functions: Calculus Lesson Plans
- Quiz & Worksheet - Pros and Cons of Geothermal Energy
- Quiz & Worksheet - Tragedy of the Commons Theory
- Quiz & Worksheet - Calculating Payroll Costs
- Quiz & Worksheet - Predicates
- Quiz & Worksheet - Vishnu, Shiva & Devi

- GRE Sentence Equivalence Format
- The Chronic Argonauts by H.G. Wells: Summary & Analysis
- 5th Grade Pennsylvania Science Standards
- 4th Grade Colorado Science Standards
- Study.com's GED Program for Enterprise
- TExES PPR Test Dates
- Nebraska State Standards for Social Studies
- Telling Time Games & Activities
- Fourth Grade South Carolina Science Standards
- STEM & Next Generation Science Standards
- Teacher Associations in Texas
- Homeschooling in Hawaii

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject