Upland Tutoring: Tutors in Upland, CA

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The student is being introduced to the fundamental counting theorem as part of his final unit, which is on basic probability statistics. He has no trouble applying the fundamental counting theorem. I practiced a variety of applications with him, and he didn't really struggle with any of them - the idea is pretty straightforward. You figure out how many possibilities might come together, and how much variability there is in each possibility, and you multiply them all together in order to find the number of uniquely combined possibilities. This shows itself in a variety of ways in word problems - but, abstractly, that's the whole process. He is definitely up-to-speed on this material.

The student and I met for the first time today, and she was great at jumping right in and had a prior math test for us to review. She is an incredibly bright student who was really receptive to prompts. The concepts that she seemed to struggle with the most in math were geometry and word problems. She never at all seemed defeated when struggling and was also eager to respond. Her enthusiasm is really promising for the future of our sessions. She has yet to take a reading section, so I asked her to take one before our next session. I also left her with some verbal practice because that seems to be the section that she struggles with the most. I will send tests for analogy practice online, and I encouraged her to make some flashcards on her own in addition to practicing with the ones her sister passed along to her.

We practiced using the completing the square method for rewriting a quadratic function from the standard form into the vertex form. We also reviewed how to sketch a parabola from the vertex form. We then reviewed square roots and complex numbers, including simplifying expressions with i or square roots in the denominator of a fraction. Lastly, we looked at quadratic inequalities. The student is doing well with simplifying square roots and complex numbers, and she is doing better solving quadratics using square roots and remembering that there are two solutions. She is also getting better working with the vertex form of a quadratic function to determine the vertex of the parabola and sketch the graph.

This session, we started to prepare for a test on manipulating integers. We reviewed the student's homework, discussing the different processes and talking about what she felt comfortable with. She is still working on adding/subtracting integers. We went over different ways to look at the problems, using our rules we talked about as well as a number line to check the answers. We did extra problems working integers. I left an additional practice sheet with her. I asked her to try to do at least half of the problems to see how she does on her own since I will not be sitting next to her during the test. She is starting to feel more comfortable with the process; however, I did tell her that the only way to really get strong with the concepts is to do as many practice problems as possible. We will continue to review for the test next session.

Topics covered were solving systems of equations by substitution and by elimination, graphing linear equations using slope-intercept and point-slope forms, applications of systems of equations, and solving linear equations. The student was good with the concepts of each topic and each mistake was either sign related or writing something down wrong. The student was enthusiastic about all the topics covered. I advised her to try and do more and more problems to get formulas into her long-term memory through repetition (the more you write something, the more likely you are to remember it).

Today, we worked on using context clues to learn and understand vocabulary words, as the student asked to work on this last week. I came with several worksheets to practice this skill, and I chose more difficult vocabulary words that he most likely didn't know so that he had to focus on using the context clues to define the words. In each sentence, he had to identify the words that helped him with the vocabulary word and then write a definition for the word. He seemed really interested in the exercises and was very excited about learning these new vocabulary words. I think this was a very helpful exercise, and we will continue with this next week.

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Session Summaries by Tutors