Polygons in the Coordinate Plane
Common Core Standard - M6G3

Introduction

In this lesson you will learn how to:


Clipboard with a check mark inside of it Review

Below are some important points to remember prior to beginning our lesson.

  1. The coordinate plane is made up of the x-axis (a horizontal line) and y-axis (a vertical line).
  2. The coordinate plane has four quadrants.
  3. An ordered pair is a set of two numbers that represent the x and y coordinate.

  

Complete the activity below to test your knowledge of the coordinate plane.

 


Man looking at confusing road sign Confused ?

If you need further instruction please visit this web page before moving to the next page. 

Using Coordinates to Draw Polygons

Now that you know how to graph we can easily take those skills and graph multiple points to create shapes. The graph below has four point that are plotted onto the coordinate plane. The points are then connected with lines to form a rectangle.

Animated coordinate plane where points form a rectangle

You can then determine the distance around the rectangle (or the perimeter). This concept can then be connected to the real world by figuring out the perimeter needed. .

For example, suppose the rectangle in the above coordinate plane represents a garden. You are trying to figure out how fence is needed to protect your garden. If you count the length of each side you can then determine how much fence you need to purchase. In the example above you will need 22 feet of fence (assuming each space on the coordinate plane represents 1 foot) to protect your garden.

 


Example Number 2

Suppose you are wanting to hang a picture frame in your room. You are trying to determine the perimeter of the picture frame that is needed. We'll plot this on a coordinate plane to get a better understanding of the length needed. Using your own graph paper plot the following points listed below and find the distance around the figure created. Once you have done so enter the total distance below.

Points to be Plotted

Point A: (2, -3)

Point B: (2, 2)

Point C: (-3, 2)

Point D: (-3, -3)

If you need graph paper to plot your points visit this website. Or, you can use an online plotter to plot your points. 

 Toggle open/close quiz question

Graph paper with calculator & compass Plotting other Designs

Using the coordinates below create the designs below.

1. (1, 1), (1, 9), (4, 9), (4, 6), (6, 6), (6, 9), (9, 9), (9, 1), (6, 1), (6, 4), (4, 4), (4, 1), (1, 1)

  Toggle open/close quiz question

2. (-1, 1), (-1, 6), (-3, 4), (-8, 9), (-9, 8), (-4, 3), (-6, 1), (-1, 1)

 Toggle open/close quiz question

 3. (5, -1), (7, -6), (6, -6), (6, -9), (4, -9), (4, -6), (3, -6), (5, -1)

 Toggle open/close quiz question

4. (-2, -1), (-5, -4), (-8, -1), (-9, -2), (-6, -5), (-9, -8), (-8, -9), (-5, -6), (-2, -9), (-1, -8), (-4, -5), (-1,-2), (-2, -1)

  Toggle open/close quiz question 


high wire.JPG Challenge-Create Your Own!

1. First, use a piece of graph paper or create your own coordinate plane.

2. Next, draw out your design.

3. After you have finished creating your own design, list the points used to create your design.

4. Shared with a friend or classmate and have him/her plot your design!