PJ had a great class today discussing ratios. We have already discussed how to turn ratios into fractions and compare. Now we are applying these fractions to real world scenarios. For example, who swims faster? Ricky who can swim 11 laps in 8 minutes or Nicky who can swim 7 laps in 5 minutes. We compared 11/8 to 7/5. to see that 7/5 is larger and Nicky swims faster.

Andrew was 16 minutes late to class. I asked him why he was late and he said his stomach hurt. I had our work ready and we began. We started with ACT problems that he had trouble with while I was out last week. Each problem was on content we have covered this year. He was unable to recall definitions and formulas that we have spent time on. We tried a few problems and then moved back into the text. We discussed the concept of volume and how it measures the amount of space an object holds on the inside. We reviewed from yesterday how we can find the volume of a prism by taking the area of the base times its height. We considered a problem with a sand box and bags of sand. Andrew had to determine how many bags of sand he would need to fill up the sand box completely. I guided Andrew on how to find the volume of the sandbox, by multiplying length, width, and height. Simliarly the bags of sand as well. Then we divide the volume of the sand box by the number of sand bags to see how many would go into it. We considered the units would be "feet cubed".

Today Aiden had an excellent class. Yesterday we introduced the concept of cross sections, so Aiden already had some previous understanding. We considered slicing a loaf of bread in the shape of a rectangular prism. We thought about how the area of the cross sections would change if we sliced the bread horizontally versus vertically. After calculating the areas of each cross section, we recognized that if the bread was sliced horizontally it would have different dimensions and actually produce a larger surface area than if cut vertically. Next we discussed the definitions of a pyramid versus a prism. Aiden understood and was able to give examples of each. Lastly, we saw a triangular pyramid, considered the cross section would produce a triangle, and then used the formula A=1/2BH to find the area of a cross section. Aiden said he is enjoying Chapter 8 so far. He didn't realize there was more to Geometry like what he's seen so far. :)

Ben was absent for class. The time was used making plans for the final days of school.

JPaul was taking his AP Test during our period. The class time was used to organize materials.

Carson and I met on Teams. He did not complete the work his mother asked me to send him yesterday, so we used that as an activity to complete today. The questions asked Carson to simplify the exponent expression using only positive exponents. We used the properties of multiplication and division, power to power, and negative exponents to simplify completely. Once Carson got the hang of it, I reintroduced him to radicals and how to simplify. He recalled how to use the factor tree to simplify.

Today Carson and I met on Teams today. We had had a conversation about foods and using the phrase "Yo me gusta..." and "No me gusta..". We discussed favorite foods and I learned Carson likes Pizza. We went through a check list of things like bread, vegetables, fish, and fruit. Carson was able to use the new vocabulary in complete sentences.

I explained about taking notes in his journal over the summer. Kellan read more about Dog Man.

Christopher wrote his spelling words in his dictionary. He worked on typing his ideas on the computer.

Kellan wrote his spelling words in his dictionary. He read Dog Man, and we discussed it.