With twist markers and a scrambled word puzzle, Richard practiced his spelling words and words with mis, non, and post prefixes. He read books with words he can read.
Today PJ and I had two classes. The first class he took a Chapter 5 assessment. It was on the computer. HE got a 90% on it. After the test, we went through the problems he got wrong. The error he made was not understanding the directions completely, but his logic was actually correct. Our second class we decided to have class outside. It was so pretty. We sat on a bench and discussed ratios. We discussed the three ways to write ratios: x to y, x:y, and x/y. We did a few problems writing ratios using these notations. Tomorrow we will discuss how to reduce ratios.
Today Andrew and I moved into the last chapter of the text. The first section is about polyhedrons and the number of edges, vertices, and faces they have. We looked at an example of a tetrahedron, pentahedron, and hexahedron. We counted the number of edges, vertices and sides and we noticed a pattern. We determined that F+V=E+2 would work for all 3D figures. Next we discussed cross sections. If we were to slice the figure straight down, what would the cross section look like. This was difficult for both of us to visualize. We used the online account to help us actually see what we were working with. We will continue with this lesson tomorrow.
Today Joshua and I discussed Polar Functions and their graphs. We talked about the names cardiod and limacon. We started with a function in rectangular form and then converted it to polar form. We were able to visualize on the graphs if the function was positive/negative or increasing/decreasing. Joshua did a great job recalling the graphs of trig functions with transformations and then relating them to the polar functions.
It's been a few days since Ben had class. We discussed his trip to NJ and his recent technology purchase. He was super excited to share the uniqueness of his Steamdeck. After a few stories he was ready to begin. We reviewed what we worked on the last time we met: classifying polynomials and adding them. Today we discussed subtraction. I showed Ben how we distribute the negative to all of the terms in the 2nd set of parenthesis. We discussed how all of the positive terms become negative and all of the negative terms become positive. Then we would combine like terms as usual to simplify. Ben was engaged today and asked great questions. Way to go Ben.
Today Aiden and I worked with a ruler and protractor on how to construct scale models. The first problem we discussed was a model drawing of a patio. Aiden used the scale factor 1cm=1yd and drew a trapezoidal figure. He used the ruler to measure two perpendicular lines at 4 cm each. Then he used the protractor to measure a 135 degree angle to connect the sides. We discussed how this model would be used to measure the actual size of a new build patio. The next problem we discussed equilateral triangles. Aiden recalled they were triangles with equal side measures and equal angle measures. We connected them to make a tessellation. I showed Aiden photos of other tessellations so he could see how pretty they can be. Aiden did a great job using the protractor to measure 60 degree angles. He measured each side at a 1/2 in and combined the triangles together. The goal was to create a table that 10 people could sit at. We noticed there were multiple solutions, but some would make an odd way to set up a dinner party. This was the first time Aiden worked with a protractor to measure angles. He did a great job!
