Today we finished the activity we started yesterday, reviewing the points of concurrency in triangles. We reviewed centroid, orthocenter, incenter, and circumcenter. I gave a challenge problem to Andrew. He was given a triangle and it's centroid. He had to use his graphic organizer to see that the centroid is the intersection of the medians. He recalled that medians connect the vertex to the midpoint of the opposite side. Then he was able to set up an equation to solve for the missing sides. These problems were difficult for Andrew to get started. Once we set up the equations, he did a great job solving for the variable. He was also sure to go back and check to see if he was done with the problem, or there was still more to do. We will review one more day and then have a Quiz next week.
Andrew and I learned more about the ongoing nomination process for each political party. We went through a thought exercise about what we could infer from both political parties continuing to nominate baby boomers. We also discussed how Andrew, if he were to run a third party campaign against both political parties, how he would garner interest in a new candidate via social media.
Andrew and I discussed the primary elections in New Hampshire and what the results entailed for each political party. We discussed this in preparation for our discussion about polarization
Today Carson and I discussed translations in the coordinate plane. We noticed that when we translate a figure (up, down, left, or right) the side lengths and angle measures stay the same. We learned the notation for how to write the rule of a figure that's been translated. Carson practiced taking the pre-image and drawing the image according to the given translations. Carson found this topic to be easy.
Today Ben and I organized the different transformation types we've learned: reflections, vertical stretching/shrinking, horizontal shifts, and vertical shifts. We practiced graphing multiple transformations. We discussed how this affected the starting position of the vertex and the slopes of the lines. We also discussed domain and range. Ben did excellently today. There was a time I left to use the restroom, when I came back he had music playing and he had already done 4 problems (which I did not ask him to do). I thanked him for continuing to work without me guiding him.