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.
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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.
Attached is the study guide that was handed out in class on Saturday. As I mentioned, this is intended to be a help to students as they prepare for our test...in light of that, I will post the study guide answer key very soon, and students can check their answers. If there are any mistakes, please let me know....thanks!!
Here we will introduce the Pythagorean Theorem using a simple proof and then proceed to look at missing side lengths of right triangles.
Armed with the information that all triangles are 180 degrees, and our knowledge of congruent angles, we found missing angle measurements for interior and exterior angles of triangles.
Today we looked at two different ways to use our understanding of straight angles and concepts of congruence to prove that all triangles are 180 degrees.
This lesson used rigid motions to explain why certain angles created by a transversal cutting through two parallel lines were congruent. For example, alternate interior angles can be mapped to one another by performing a 180 degree rotation.
In this lesson, we compared two objects and determined if they were congruent...we defined two things as congruent if one was able to be mapped to the other through a series of rigid motions.
This lesson will conclude our study of rigid motions. We looked at performing several different transformations and saw that the order in which we performed transformations matter.
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May 2016
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