Lesson 1.1.1: Construct an equilateral triangle |
For this lesson there are 11 steps for you to take. Scroll down and do each step one-by-one. The instructions under each step will help clarify exactly what you need to do, so please read all the instructions.
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Here is the worksheet for Lesson 1.1.1
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2.) Discuss with a neighbor... or write down thoughts.
Read the scenario below and then brainstorm some ideas with a neighbor about how you would answer the questions. If you don't want to talk with a neighbor, make sure you write your thoughts down in your notes.
Joe and Marty are in the park playing catch. Tony joins them, and the boys want to stand so that the distance between any two of them is the same. Where do they stand? How do they figure this out precisely? What tool or tools could they use?
Read the scenario below and then brainstorm some ideas with a neighbor about how you would answer the questions. If you don't want to talk with a neighbor, make sure you write your thoughts down in your notes.
Joe and Marty are in the park playing catch. Tony joins them, and the boys want to stand so that the distance between any two of them is the same. Where do they stand? How do they figure this out precisely? What tool or tools could they use?
3.) Vocabulary: Take Notes
Watch this video and take notes as you go. You should probably pause the video at the beginning so you can write down all the notes and then listen in to my explanation after you wrote it all down. |
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4.) Read the scenario and do the activity
First, read the scenario below. Then, get a print out of the diagram that follows (make sure to ask me for a copy). Use a compass and a straightedge to find the location of the third cat.
Scenario:
Margie has three cats. She has heard that cats in a room position themselves at equal distances from one another and wants to test that theory. Margie notices that Simon, her tabby cat, is in the center of her bed (at S), while JoJo, her Siamese, is lying on her desk chair (at J). If the theory is true, where will she find Mack, her calico cat? Use the scale drawing of Margie’s room shown below, together with (only) a compass and straightedge. Place an M where Mack will be if the theory is true.
First, read the scenario below. Then, get a print out of the diagram that follows (make sure to ask me for a copy). Use a compass and a straightedge to find the location of the third cat.
Scenario:
Margie has three cats. She has heard that cats in a room position themselves at equal distances from one another and wants to test that theory. Margie notices that Simon, her tabby cat, is in the center of her bed (at S), while JoJo, her Siamese, is lying on her desk chair (at J). If the theory is true, where will she find Mack, her calico cat? Use the scale drawing of Margie’s room shown below, together with (only) a compass and straightedge. Place an M where Mack will be if the theory is true.
5.) Watch me do it Watch this video and see how I found precisely where Mack will be. |
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7.) Construct an Equilateral Triangle in your notes
Follow Euclid's steps and construct an equilateral triangle using only a compass and a straightedge. Do this in your notes.
Follow Euclid's steps and construct an equilateral triangle using only a compass and a straightedge. Do this in your notes.
8.) Watch me do it
Watch the video of me constructing an equilateral triangle to make sure you did it right. |
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9.) Read this article
Read through this article about making assumptions in Geometry. When you are done, write down a short summary in your notes. Answer the question, "What point is this article trying to make?"
10.) Check out this site (History of Geometry)
Go to this website to see how geometry developed over time: http://geomhistory.com/home.html
You will be surprised how much they knew soooo long ago. Read through the article on the home page.
11.) Exit Ticket
Today we learned how to construct an Equilateral Triangle. Your task is to write a clear set of steps that describes exactly how to construct the Equilateral Triangle. You can use Euclid's proposition 1 as a guide, or use my video as a guide.
At the end of your notes you should have "Step 1: ..., Step 2:... etc."
When you are done, raise your hand and show me your awesome steps. A high five is on its way :)
Today we learned how to construct an Equilateral Triangle. Your task is to write a clear set of steps that describes exactly how to construct the Equilateral Triangle. You can use Euclid's proposition 1 as a guide, or use my video as a guide.
At the end of your notes you should have "Step 1: ..., Step 2:... etc."
When you are done, raise your hand and show me your awesome steps. A high five is on its way :)