Option 1: Work Independently
The Arguments
Here are the two arguments you will be debating.
Argument A: There is a need for students to understand and be able to construct geometric figures using a compass and straightedge.
Argument B: There is no need for students to use a compass and straightedge, and all geometric constructions should be done using a drawing program.
There are two opposing arguments listed above. You need to choose which one you will support as your argument.
Formulating an argument takes research and time to get yourself to the point where you can defend your position thoroughly. Criminal defense attorneys may not believe their client is innocent, but it is their job to defend that person to the best of their ability.
Step 2: Tips on Formulating Your Argument
Think, Think, Think. Ask yourself lots of questions about each side of the topic, and then answer them through research, your opinion, and your experiences with both sides of the argument. One helpful tip for doing this is creating a pro and con list for each argument. What are the good qualities of each? What are the bad qualities? Why is each method used in the course? What is the history of each? How is each method helpful in understanding Geometry? Be sure to document all of your sources. You will be asked to provide a list later. Be sure to follow the guidelines and safety precautions for completing Internet searches.
Think from the other side. It is impossible to refute, or prove false, someone’s claim if you don’t know what he or she is thinking ahead of time. For example, if a defense attorney knows the prosecution has fingerprints, the defense can find a way to justify why they were there.
Create a list of some sort that helps you organize your thoughts. Many debaters use index cards that they can easily pull during a debate. The more organized you are, the more prepared you will seem, and the more likely you are to actually win a debate!
Cite your sources when you are speaking. This gives you more credibility if you know who said it. For example, “According to an article in the Math Rocks Journal …”
Use effective speech and grammar. Remember, you are trying to get others to side with you. If they can’t follow what you’re saying, you won’t win anyone over.
What to Submit
You may use any word processing program or Web 2.0 tool to present your argument, but you must include the following:
A summary of your argument. This should begin with the argument statement that you chose. Within your summary, provide at least three reasons why the method you chose is better, and at least three reasons why the other method is not better. This summary can have a lot of opinion in it and should seem persuasive and argumentative.
A list of at least two resources used. Resources could include interviews with professionals and/or url(s) of websites. Remember, you may gather ideas from research, but you must explain the ideas yourself. Copying and pasting someone else's ideas is plagiarism. Be sure to avoid plagiarism by phrasing your argument in your own words.
Work Independently: Grading Rubric Category Excellent Good Satisfactory Needs Improvement
Argument Summary
The entire argument was captured in the summary.
(15 points)
Most of the argument was captured in the summary.
(14–12 points)
Some of the argument was captured in the summary.
(11–9 points)
Little of the argument was captured in the summary.
(8–0 points)
Specific Arguments
All required arguments within the summary were researched and reported. All facts were relevant to the topic.
(25 points)
Most required arguments within the summary were researched and reported. All facts were relevant to the topic.
(24–20 points)
Some required arguments within the summary were researched and reported. Some facts were relevant to the topic.
( 19–15 points)
Few or no required arguments within the summary were researched and reported. Few or no facts were relevant to the topic.
(14–0 points)

Resources
At least two resources were cited, valid, and/or appropriate.
(10 points)
At least one resource was cited, valid, and/or appropriate.
(9–8 points)
Resources were cited, but were invalid, and/or inappropriate.
(7–6 points)
None of the resources were cited, valid, and/or appropriate.
(5–0 points)
Module Two Activity
There are two different activities for this lesson, but you are required to only complete one. You have a choice to make! The first activity will be completed independently. The second activity may be completed independently or collaboratively with another student in the course. Remember, all students must complete at least one assignment collaboratively in each segment of the course.
Graph a Triangle Independently

Throughout this module, you have identified and constructed different types of triangles. Now you will graph one.
You are going to plot three random points on the coordinate plane and draw segments between them, creating a triangle. You will then use algebra to draw the medians and classify the type of triangle graphed.
Step 1: Drawing the Triangle
On graph paper or using a drawing program, such as GeoGebra, plot three points on the coordinate plane.
Label each point with a letter and its corresponding ordered pair.
Draw segments between the points to form a triangle.
Use the midpoint formula to find and plot the midpoint of each segment. You must show your work.
Draw the three medians of the triangle.
Draw the centroid – the point of intersection between all three medians.
Estimate the ordered pair of the centroid.
You may use any construction program you wish, but a GeoGebra window is shown below for your convenience. Follow the directions to draw your triangle and save it to your computer so you may send it to your instructor. Remember, Paint is not a construction program.
Activity Two: Graph a Triangle – Directions
Directions:
Plot three points anywhere on the coordinate plane using the New Point tool. 
Connect each point to the two other points using the Segment Between Two Points tool.
After applying the midpoint formula to determine the midpoint of each side, enter the ordered pair in the input bar at the bottom of the screen. For example, if a midpoint is located at , you will enter (1/2, 5/2) as shown .
Draw the medians of the triangle using the Segment Between Two Points tool. 
Select the Intersect Two Objects tool and then two medians to plot the centroid.
Right-click any point on your drawing. Select "Object Properties". Select "Point" at the top left of the pop-up window. Next to the check box "Show Label," access the drop down box and choose "Name & Value."
Note: If you need to adjust the position of the triangle on the drawing pad, use the Move Graphics View button. If you need to delete any part of the drawing, select the Delete Object button and then the piece you want to delete.
To send this triangle to your instructor, go to the "File" menu at the top of the screen. Then select "Export" and "Graphics View to Clipboard." Paste this picture in a document file with the rest of your activity