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## Session Summaries by Test Prep Tutors

The student completed the mini-test and the Unit 2 cumulative test since our last session. I reviewed her work while she did a warm-up exercise over the 7's and 9's times table, and reducing fraction by hand and with a calculator. She did quite well on the mini-test and the cumulative test. As expected, she struggled the most on converting units (especially standard units) over multiple steps. She also missed a few questions where she was asked to give the ratio of two things. She switched the order a couple of times. Overall, we were both very happy that she scored 81% on the cumulative test. We moved on to start Unit 3 on algebra. We will have to spend a decent amount of time on this section, as well as the following unit on geometry. We began slowly today with adding, subtracting, multiplying, and dividing with positive and negative numbers. The concept of adding and subtracting negative numbers was quite challenging for the student. Working with a number line seemed to help her understand things visually. We were able to boil it down to a few rules to follow when adding and subtracting. It was still a slow process for her to do example problems on her own. She mostly was able to do them correctly. We also worked a bit with multiplying and dividing and how to remember what the sign of the final answer is. We did several example problems together that included multi-step addition/ subtraction/ etc. Next we discussed the order of operations. I introduced her to the pneumatic PEMDAS to help remember what the order of operations are. We walked through a couple of examples to demonstrate the use of PEMDAS. She seemed a bit unfamiliar with exponents, so we may have to tackle that later on. Finally, we started to introduce algebraic expressions and the use of variables. The study guide book next tried to introduce how sentences can be translated into an algebraic expression. For example, five less than four times a number is equal to 4x-5. I chose to begin here at our next session with fresh eyes. For homework, I assigned her to do all the remaining addition/ subtraction/ etc. practice problems that we didn't do together.