Today Ben and I continued with the lesson on how to go from fraction powers to radical form, and vice versa. We started with the basics, using BOTI as a acronym to help us determine where the power goes. Ben was able to recall how to turn "the cube root of 4 to the fifth power" into "4 raised to the five thirds power". Ben practiced going from one form to the other and simplifying if possible.
Today Aiden and I moved onto 5.4 Solving Inequalities. He asked if we could work out of the textbook instead of the online Savvas account. It covers the same content so I was ok with that. We worked with problems like "If you're traveling on a plane and the total bag weight must not exceed 50 pounds, then how much can your 2nd bag weigh if your first bag weighs 38 pounds?" Aiden had to write the equations 38+p<=50 (that is less than or equal to). Then he had to solve the equation and interpret it in the context of the problem. He determined that the 2nd bag must weigh 12 pounds or less. Then Aiden had to graph the solution on a number line. Aiden recalled using an open circle and closed circle from 6th grade, but he was bummed because he couldn't remember which is which. He brought up that he doesn't remember everything he learned and how it's bothersome to him. I told him that is why all of the content in math classes repeat, 6th-8th Math is all repetitive for that reason. I told him it's ok he doesn't remember the specifics, but now with a reminder he does. And the more he's exposed to it, the more likely it'll stick. I encouraged him that we will see this content again. He did a great job conceptualizing. We covered problems with negative numbers that made the setups tricky, but Aiden was able to set up the inequalities easily.
Today Carson and I finished the challenge activity on volume and surface area of non-traditional 3D figures. Today Carson saw problems where we had 3D figures inside of other 3D figures. Carson was asked to compute the leftover volume if the inside figure was hollow. Carson did a great job thinking through these problems. We practiced setting up our work in an organized way, showing each step of the way. We also were careful to make sure we used the proper unit.
Today we started by doing some ACT problems. We practiced ones that covered probability, and trig ratios. Then we discussed problems that Matthew will have on a Quiz on Friday. We went through the sections and reviewed each problem. We discussed converting from degrees to radians (and vice versa), finding coterminal angles, converting to degrees/minutes/seconds, and arc length. Matthew was a little rusty on some of them. Tomorrow we do more practice so he will be ready for his quiz Friday.
Christopher wrote his spelling words in sentences. We used the cootie catcher to discuss the literary elements of The Watsons Go to Birmingham. He worked on typing his story.
Kellan wrote his spelling words in sentences. We used the cootie catcher to review literary elements of The Watsons Go to Birmingham. We started reading the new Dog Man book.
