"This session, we began by designating about 15 minutes to studying for her test tomorrow, which is in parabolas and circles. She learned how to get a circle into the correct form by completing the square correctly for both x and y. After we had done this, she understood the topics much better and was able to do a few practice problems. We briefly described what a conic section was so she understood why she was studying circles and parabolas but not ellipses or hyperbolas yet.
We then moved onto SAT Math. I gave her a few more practice problems to start things off including another quarters, nickels, and dimes problem. She came closer to setting up her equations correctly but still fell short. We completed the problem. I then gave her problems involving portions of a whole compared with a real number of something else. For instance, if one quarter of the jelly beans in a bag are raspberry, and one third are pineapple, and the rest are apple, of which there are 45, then how many total jellybeans of each type do you have?
She got this fine after I showed her how to set up her equation to find the total number of jellybeans in the bag, then she was able to find the total amount of each. We went on to talk about scientific notation, and she worked through several problems involving the division of numbers in scientific notation. I told her that if after she divides the number portion of the notation if she winds up with a number ten or larger, or less than one, she needs to re-write it as correct scientific notation. I told her that if she moves the decimal point to the right, she needs to decrease the power of her tens unit by that much and vice versa if moving left.
We spent the remaining half hour talking about ratio problems. I gave out several problems which involved comparing different classifications, like jelly beans or students. I gave ratios for each problem, and had her find a real number answer at first, but eventually just find another proportion, which she was able to find via "dimensional analysis" of a topic."