Recent Tutoring Session Reviews
"We covered using function graphs to answer different types of FRQ questions. We also covered FRQ questions that use a table of values and functions in terms of f(x) and g(x). We covered how to answer the rate questions that are normally asked on the AP calc tests. She did really well with the material tonight, and I'm sure she'll do great on her test Thursday. I told her it might be beneficial to practice FRQ question 1."
"Today we started on the distance formula and how to find the distance between two points when given their coordinates. We went over the elements of the formula and its relation to the Pythagorean Theorem. The student loved that it related back to her favorite shape: triangles! We practiced this and we reviewed how to simplify radicals when we got them as answers. The student did great with this and we even caught a mistake in the book! We then moved on to how to find the midpoint between two points. The student sped through this. In our next session we will do a quick review of this material and then we will be moving on to finding the area and circumference of circles, and the volume and surface area of more complex shapes such as prisms and cones."
"The student and I first worked on piecewise functions. She is improving at these. Then we studied for her history test on the events leading up to the civil war. She needs to improve on conveying her ideas because she generally knows the material. She improved a lot on her report card."
"Today the student asked me to review his Math homework where he found the percentage of increase or decrease between two numbers. I looked over a number of Math review worksheets that he was given to prepare for his final exam. I expressed how crucial it is for him to show his work completely when solving equations. For his vocabulary homework, I gave him concrete examples to help him further understand the words he is learning."
"The student's AP exam is coming up on Thursday, which is quite exciting! We continued working on some old free-response questions tonight to prepare. He suggested we cover one about continuity in particular; I am glad we did, because it seems that the all-important technical definition of continuity had faded from his skill set. I think that if he is sure to memorize this for Thursday, he will be able to correctly use it! The second FRQ involved rate and integration approximations, average value, and relationships between derivatives. He absolutely did awesomely on this hefty problem; he was able to remember and accurately use the trapezoidal rule, and, after reviewing the meaning of units associated with a function's average value, he completely independently mapped out the full solution to an expression incorporating variations of two functions. I am excited for him to test on Thursday! We are planning to meet tomorrow evening briefly to address any last-minute questions he may have."
"Today we went over sections 11.2 and 11.3. I think the student understands 11.2 and will ace her quiz tomorrow! For the rest of the week, she should practice 11.2 and keep reviewing her squares. I taught her a way to remember them!"