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Kathy in Richmond

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About Kathy in Richmond

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  1. Higher - Lower works regardless of whether the curves lie above or below the x-axis. For example, try calculating the area between the lines f(x)=4 and g(x)= -4 between x=0 and x=5: It's a rectangle of length 5 and height 8, so we should get 40 for the answer. We integrate f(x)-g(x) between x=0 & 5 Since f(x) - g(x) = 4-(-4) = 8, we integrate the constant function 8 between 0 & 5, which is 8 * (5-0) = 40 ...yay, as expected! Basically it works because if x > y, then x-y > 0 regardless of whether x and/or y are positive or negative. [ I think this is tricky because this technique usually follows a section of figuring out the area between a curve y=f(x) and the x-axis. There you integrate f(x), breaking it up into positive and negative sections based on the x-intercepts....]
  2. Try here: AMC-8 locations. As per the official AMC-8 page: Q. Who is eligible to participate in the competition? A. Students with a passion for problem-solving who are in grade 8 or below and under 14.5 years of age on the day of the competition are eligible to participate in the AMC 8. One of my kids enjoyed participating from 5th grade on.
  3. I really appreciated gift cards to various restaurants and fast food places so that my husband could pick up something to eat when I couldn't make dinner. My own taste buds changed a lot, and some things that I liked prior to chemo just didn't agree during those months. What I liked best were the people who gave me quick phone calls, FB messages and conversations, and those who sent thoughtful cards. I also loved this lotion. My hands and nails got extremely dry, and this was the only thing that worked.
  4. Wonderful, amazing news! Praying always for Greta's health!
  5. Take a look at the member institutions link for the Intercollegiate Center for Classical Studies. My daughter, who has a Classics degree with a specialty in Latin, spent a semester abroad in Rome with ICCS several years ago. It's a rigorous program that attracts some of the best undergraduates in Classics in the US every year. You can see from the listing that the feeder colleges encompass all levels of selectivity. Maybe it'll give you an idea or two?
  6. OK, when we look for critical points we set dy/dx =0: -0.03 (x+1)^2 + 0.03 = 0 0.03 (x+1)^2 = 0.03 (x+1)^2 = 1 (x+1) = +1 or -1 x=0 or x= -2 (did you miss the minus sign? or did you get confused by their calling y(x) a deflection?) Reject -2 since it's outside of the domain of [0,3]. So the max must occur at one of the endpoints. Test x=0 and x=3. Obviously, x=3 gives the max deflection. It IS a confusing problem! They need to be more careful in their terminology 🙂
  7. I find it a little annoying that they define y to be the deflection, when y as defined is always negative for x between 0 and 3. So their deflection is negative. This gets tricky when they say to maximize the deflection. Technically speaking, the maximum value would be zero! But what they really mean (common sense) is that the deflection is the absolute value of the function y(x). So then the maximum occurs at the other endpoint when x=3. With that in mind, I got a max deflection of 0.54 meters. Is that what was bothering you?
  8. I'm still using the book that Momto6inIN linked with my students. 🙂 Besides modeling how to write great FRQ solutions, it also has a topical index that allows you to pull up FRQs on any specific topic that your student needs. I also used Barron's review guide (for MC practice) and a full released exam just before the real AP test in May.
  9. It's difficult to give advice without really knowing your child 🙂 I'm a big fan, though, of not changing what's working well. So if Khan + Beast is working, I'd certainly keep going with that combo. As for when to move on to AoPS prealgebra, and which (if any) AoPS class to take, have you seen this advice from their site: What's Next after Beast Academy? Keep in mind that AoPS has a new self-paced option for prealgebra. Since your dd is on the young side, it might be a good way to transition into the online classes. She could still take advantage of teacher helps (like office hours and discussion boards and graded writing problems) while moving at a comfortable pace. AoPS Self-Paced Prealgebra Good luck!
  10. Prayers that the chemo did its job & that the remainder of your treatment goes well 🙂
  11. I've been using my Donvier half-pint for 30+ years. I think it's only available now used; the one I linked is still in the original packaging, though. This model makes a single cup serving at a time, and you only need to store the small inner cylinder in the freezer. Take it out, add your ingredients, turn the crank, and it's ready in 10-15 minutes. No mess! Lately I've been enjoying plain Greek yogurt with berries, but you can be as creative as you like.
  12. I don't have a fluency test, but I also tutor high school math, and many of my kids are very weak on math facts. For those kids, I spend the last few minutes of every session playing the "24" game with them. I play the hardest level, and they choose the level they want to try. It seems to help with their fluency, especially in the case of my weakest kid. Listening in for more ideas!
  13. Just catching up on the WTM boards tonight and saw this, lol. Here's a fresh link from the Barrons AP review book: (p.18 of the pdf) 4 Graphing calculator procedures needed on the AP Calculus exams
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