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## Session Summaries by Math Tutors

This afternoon we completed what is referred to as a "spiral review" in Common Core vernacular. I reviewed samples of concepts since the beginning of the school year using exercises from the student's textbook plus ones that I personally generated. Plus I was so pleased that she had memorized the values of squares from 1 to 15 and was quite familiar with cubes from 1 to 5 per my request! She said that she was the only student in her class who knew these! Yay! I had told her that if she memorized them she would appear to be the genius in the class, and my prediction came true! :) Way to go! I will help prepare her for next week's chapter test, and I will communicate with her teacher to be sure that we cover all of the objectives.
This is a note and invoice for two sessions with the student. We worked on preparing her for the first exam of the math course, as well as homework and problem set work. Topics include percents, percentage change, percent increases and decreases, unit conversions (parts per trillion, per billion, per million, and per hundred (%)), working percent increases backward, and more.
This is the first session with the student, and together we worked on a worksheet that was given out in school. We first tackled a multiplication of 2 decimal numerals, and then we worked on 3 fraction reduction problems. I took this opportunity to do an assessment of the student's aptitude. He indicated that he has difficulty multiplying and dividing with numbers with 3 digits, so I will use this as an opportunity to strengthen his multiplication and division skills before advancing him to more complex calculations. I will also provide a multiplication table to reinforce these multiplication ideas. He showed great insight and a willingness to learn.
This morning, he and I worked mainly on exponent rules, including negative exponents and fractional exponents. We discussed the rules for what to do when multiplying and dividing numbers with exponents, as well as applying exponents to numbers which already have exponents. We also worked a bit on factoring toward the end, picking up on what we worked on at our last session. He seemed to understand the exponent rules, and to be able to do all of the practice problems on that material. He also seemed more comfortable with factoring than he was before our previous session. I suggested some additional practice problems for him to work on before our next meeting next Wednesday, when we will plan to discuss multiplying and dividing algebraic expressions. I thought we had a good session and that he can still be fine in his course this fall -- I think he just needs to keep doing a lot of practice. I look forward to speaking with him again next week!
This morning, we went over some of the concepts that he felt uncomfortable with before his exam. We went over more derivatives of trig functions, as well as that of logarithmic functions. He is well prepared for this test, and I definitely expect an A, which will give him confidence when applying to his college of choice for early decision!
This session consisted of point-slope formula, absolute value, exponents, and radicals. We worked on the next chapter in her book, which was about point slope formula. After that, we worked on three practice quizzes on the tutoring website about absolute value, exponents, and equations of lines. She had a lot of mistakes, but we worked on each one together and reviewed the ones she got wrong. She continues to make small mistakes regarding negatives and zeros, but overall, she knows what she is doing. I had a talk with her during the last ten minutes of our session about being more organized with her homework and to study harder on her exams. I also told her to bring questions and old work so that we can work on fixing her mistakes.