Baylie had a lesson on lines cut by transversals. The 2 lines being cut were not always parallel. She had to identify different pairs of angles as corresponding, same side interior, alternate interior, alternate exterior, vertical, and supplementary. Given an angle measure, she also had to find the measures of all the other angles by subtracting from 180, or just identifying the vertical angles.
The exterior angle theorem states that if a side of a triangle is extended, the subsequent exterior angle formed has a measure that is equal to the sum of the 2 far interior angles of the triangle. Baylie used this theorem, as well as the rules for the sum of the angles of a triangle, to solve for variables and missing angle measurements. She did a great job and only made minor arithmetic mistakes.
In a triangle, the side that is opposite the smallest angle will be the smallest side. The side that is opposite the largest angle will be the largest side. The opposite also holds true. Baylie used this information to determine side and angle lengths in triangles, and to order their lengths and sizes appropriately.
Baylie was all caught up on her IXL. We watched her video from her teacher, and she answered a few questions on Supplementary, Complementary, adjacent and linear angles. I reiterated for her that linear angles are very specific, in that they are formed by the intersection of two lines. They are also adjacent and supplementary. Not all angles that are adjacent are also supplementary, nor do supplementary angles have to be adjacent!
We also looked a tiny bit at how to do a reflection of a shape across a set line. We ran out of time, and will continue tomorrow.
Baylie and I worked through several IXL lessons today. She did a great job with one where she had to determine which 2 transformations occurred with a shape.
Then she worked through one with questions of various difficulty. She had to know that vertical angles are equal, complementary angles add to 90, and supplementary add to 180. Some questions just required her to look at angles to tell their measures. Others required more complicated equations to find 2 angle measurements that were complementary or supplementary to each other. She did well, and learned along the way.
In an angle, the bisector cuts the angle into 2 equal parts. In triangles if there are sides of 2 different triangles that are congruent, then the angles opposite those sides are also congruent. Baylie used these principles to determine missing side and angle measurements of triangles. She had a LOT of problems to work through, but did a great job!
Baylie had a Quiz to do that applied the Angle Sum Postulate. She had drawings of larger angles that were comprised of 2 smaller angles. The measurements were sometimes directly given, other times they were represented with variable expressions. Baylie had to come up with equations, use angle sum or addition to find values of x, or measurements of angles. She did a great job!
Intersection of Points/Lines/Planes & Graphing Translations
Lesson Outline
Baylie had IXL work to do with questions about intersections of points, lines, and planes. She did well, and I modeled some intersections for her when necessary. We then looked at some exercises to review her on graphing translations. She was able to do them by counting spaces on the graph to slide the shape. I encouraged her to also use math to add or subtract the amount of the translation from the original coordinates. Left and right movement is a change in the x coordinate, and up and down is a change in the y. She did great on the work!
It was great to see Baylie again. We chatted a bit about her new school. She commented that she had been in a bubble at her old school, but didn't know how much of a bubble until going to High School!
Baylie had work to do on IXL, so I helped her through the exercises where she had to name angle measurements, label sides, vertices, and angles. She thought it was fairly easy, and did well with it.
Last week she struggled with Translations, rotations, and reflections. We spent some time on IXL naming them. She says that she struggled with actually doing the movements, so we will look at that next time.