Lesson 2.1.3: Parallel method |
For this lesson there are 9 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 Lesson 2.1.3 Worksheet
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1.) Start Notes: Targets
Title your notes and write the targets listed below.
Title your notes and write the targets listed below.
- I can use mathematical reasoning to explain why the parallel method works.
- I can create a scale drawing using the parallel method.
2.) Notes: Warm Up
In the last lesson you learned how to create a scale drawing using the ratio method. Practice this one more time for your warm up. We will use it to help us better understand the parallel method. Here is what you should do:
In the last lesson you learned how to create a scale drawing using the ratio method. Practice this one more time for your warm up. We will use it to help us better understand the parallel method. Here is what you should do:
- In your notes, draw a triangle.
- Draw a center of dilation near the outside of your triangle.
- Using the ratio method, create a scale drawing of your triangle with a scale factor of 2.
3.) Video: Warm Up
In this video I show you how I complete the warm up, but I also make an important observation at the end of the video that I want you to be aware of. Please watch the entire video. |
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4.) Think: Are the lines parallel?
At the end of the previous video I asked you to think about your corresponding sides. Are they parallel? They should at least look parallel, but how do we prove they are parallel? What information would help us know they are parallel?
At the end of the previous video I asked you to think about your corresponding sides. Are they parallel? They should at least look parallel, but how do we prove they are parallel? What information would help us know they are parallel?
5.) Video: Proving Lines are Parallel
Watch this video to get an answer to part 4. I will explain exactly what we need to know in order to prove the corresponding sides are parallel and then I will show you that they are. At the end of the video you should try to follow the same steps to prove that the corresponding sides in your triangles are also parallel. |
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6.) Video: Properties of Scale Drawings
We just discovered a 3rd property of scale drawings. In this video I review the first two properties and then officially introduce the third. Please copy all the notes from this video. |
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7.) Notes: Parallel Method 1
I would like you to attempt to create a scale drawing using the parallel method. I know I haven't shown you exactly how to do it yet, but I bet many of you can figure it out without my guidance. I would like you to at least attempt it and if you get too stuck to move forward then watch the next video.
Here is your task:
I would like you to attempt to create a scale drawing using the parallel method. I know I haven't shown you exactly how to do it yet, but I bet many of you can figure it out without my guidance. I would like you to at least attempt it and if you get too stuck to move forward then watch the next video.
Here is your task:
- Draw a triangle (not too small).
- Draw a point outside of the triangle (not too close to the triangle).
- Use the parallel method to create a scale drawing with a scale factor of 1/2. In other words, the scale factor is half.
8.) Video: Parallel Method Example
In this video I show exactly how to use the parallel method. I do not write down the step-by-step instructions because they are the same as with translations, and the concept is more important than the steps. If you need the steps in order to use the parallel method, you should explain the steps in your own words as the video plays. |
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9.) Exit TIcket
Draw a quadrilateral and a center of dilation then you choose what you want your scale factor to be. Create a scale drawing of your quadrilateral using the Parallel Method.
Show me your awesome work when you are done. A high five is on its way :)
Draw a quadrilateral and a center of dilation then you choose what you want your scale factor to be. Create a scale drawing of your quadrilateral using the Parallel Method.
Show me your awesome work when you are done. A high five is on its way :)
10.) Extra Resources
Here is an extra resource for you. This video shows another perspective on how to use the parallel method. It might help you grasp the idea a bit more. |
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