This is the study guide I provided to students on Friday to help prepare for our test next Tuesday.
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We explored a few useful applications of similar triangles focusing on finding unknown distances using our knowledge of similar triangles and proportions.
In this lesson, we explored 4 different ways to informally prove that two triangles were similar. This included Angle-Angle similarity, Side-Angle-Side similarity,corresponding sides being proportional, and finding parallel lines in similar triangles.
We used our knowledge of rigid motions to prove two shapes similar when a dilation alone would not allow us to do so. This lesson combined lots of information from our previous unit, and helped student hone their skills on transformations.
This lesson helped us consolidate our learning around dilations--we drew dilations on a coordinate plane and with a compass and rulers. This lesson was scanned in because we used a compass in the lesson.
Fresh off of proving the fundamental theorem of similarity, we used it to calculate dilated points without constructions...we simply multiplied the coordinates by the scale factor (because we dilated from the origin).
This was a lengthy lesson. We spent a few days on this lesson that helped prove that if you dilate two points from the same center by the same scale factor, and then connect the points to form two line segments that those two segments are parallel. This lesson was done under the camera and scanned.
In this lesson, we worked with a coordinate plane to draw dilations, and we saw that creating rays from the center of dilation through the points on our object still help us determine where our dilation ends up, but working on a coordinate plane helps out a great deal.
For this lesson, we used compasses and rulers to perform dilations, and I was able to scan and will upload the notes I took along with students on the technique of performing dilations.
This first lesson of the new module discussed the concept of similarity and compared it with congruence. We also looked at performed a new transformation: dilations.
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May 2016
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