What Is Area: Unit 5 in geometry class is the square of the hypotenuse or (rounded towards infinity). In geometry, what is the area? In a similar way, what is the perimeter of a circle or a square? To make the concept more clear, a circle is equated to a unit circle measured by its diameter, while a square is equated to one unit of its circumference. Group discussion draws participants together to explore these ideas and more in what is the area?

What is Area: By definition, an area is a definite length, width, and shape. In more technical terms, a straight line is an area. Diagonal measurements are not area but crossing lines. Thus, if a circle is drawn, then what is the perimeter of that circle?

What is Area, Part One: In learning what is the area, a group discussion draws students together to explore the meaning of the ideas by using these examples. The first topic is measuring an area. Everyone agrees that measuring the inside of any circle is just measuring from one point to another with no middle. But students disagree about what is a unit of that measurement, and whether a circle has a radius. Discussion centers on the issue of whether to use inches, feet, and/or meters. Drawing separate rectangles and connecting each with a diagonal, each based on the same measured point, helps clarify these issues.

What is Area, Part Two: After establishing the importance of measuring an area, another topic is to explore what is inside an area. Do people get sick in an area where there is a dark floor? Does darkness make it more likely to catch flu or diabetes? Do the chemicals in a garage affect what is inside of it when those chemicals react with the air? How about food that is kept in a refrigerator? These are all topics for discussion that helps students see the connections among concepts.

What is Area, Part Three: A third topic explores whether all shapes have the same proportions of their areas. Once students understand what is the area, they may be able to establish what proportion of one shape is used for something else. For example, when you draw a circle on your paper, what proportion of the circle’s perimeter is made up of its inner surface.

What is Area, Part Four: Putting what is the area to work requires some creative thinking. Students analyze all of the information that they have garnered in previous discussions. Formal concepts that they have learned include perimeter, volume, and area. They then develop an understanding of how those concepts relate to each other, as well as to how they all fit together. This part of the class usually culminates in a project that the students will present to a professor or to another student.

What is Area, Part Five: After completing the first five lessons on what is area, students move on to what is area when you draw the area on your own. This topic compares what is on the outside of an object to what is on the inside of an object. For example, if you were to place a triangle on top of a square, what would happen? What do I mean by this? Well, what I mean to say is that if we take a section of the triangle and draw it on the inside of the square, we would get a picture of the inside that would be exactly like the outline of the triangle. Students then use what they have learned from the previous five lessons on what is the area to solve problems that they encounter in their own lives.

What is Area, Part Six: The last of the six topics covered in this class explores what is area when you have trouble drawing a certain shape. In this lesson, students use what is on the outside of an object as a guide for what is on the inside. For example, when students have trouble drawing the human face, what is on the outside will often give them an idea of what is on the inside. After learning what is area, students move onto what is the perimeter when they are trying to make something fit into something that does not fit. Students learn what is area when they have trouble understanding what is the perimeter when they have trouble fitting something into its place. The six topics that are covered in What is Area offer students six different ways to help them understand the subject of drawing.