Greenville Tutoring: Tutors in Greenville, NY

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Session Summaries by Tutors

★ ★ ★ ★ ★

"We went over multi-step inequalities after we went over some in depth rules about negative numbers (e.g., adding, multiplying, and how they fall on the number line). She is doing very well with the "box method," but we're still working on solving multi-step equations in a more direct path."

★ ★ ★ ★ ★

"The student did his math homework sheet, which was only 15 problems. This sheet practiced writing improper fractions as a mixed number. After he finished this I made some review problems for long division, writing equivalent fractions, writing mixed numbers as mixed fractions, and adding fractions with different denominators. This last material was partially new, but he has been doing well enough with the material that I decided to introduce this new kind of problem so he will be ready next week when he sees it in class. "

★ ★ ★ ★

"The student is currently working on inequality proofs. This can be confusing for students because previously the work she has been doing is proving that that the triangles, etc. are congruent. With inequality proofs, however, we are proving the opposite: that one line/angle is bigger than the other. We spent the lesson clarifying the theorems and applying them in the proofs. "

★ ★ ★ ★ ★

"This was a good review session. We worked on several application of derivatives and then looked at applying the fundamental theorem of calculus. "

★ ★ ★ ★

"Our main concept today was factoring trinomials. The simpler ones are like x^2 + 10x +24 where we look for a product of +24 and a sum of +10. For a list of possibilities, the correct pair is 6 and 4--producing the factors: (x + 6)(x + 4). This can be verified using the FOIL method. The strategy is to try every possible combination until the correct one is found. The student saw the light and was successful doing several on his own. We then proceeded to more complex forms of factoring where the leading coefficient of x^2 is not = to 1. As one example, we considered 18x^2 - 9x -14. There are numerous combinations, but only one will work. The only strategy here is guess-and-check. We found the correct pair of factors to be (6x - 7)(3x + 2). He will practice more of these before our next session."

★ ★ ★ ★ ★

"The student and I reviewed stem-changing verbs in the present and the past tense and did several oral exercises. He then reviewed the verbs ser and estar, their uses, and made several translations from English into Spanish. We went over his homework and made corrections. He is making very good progress."

★ ★ ★ ★ ★

"The student and I worked on a lot of material today. We did his reflex work with math online. This dealt with addition, multiplication, and division. Then, we reviewed his math homework (daily), which included fractions, division (with decimals), and true/false math statements. We also worked on a Social Studies assignment that included reading two articles and answering the questions that asked for an answer (support answers with examples). Lastly, we worked on a study guide for a test he has on Thursday. I saw his grades, and he's certainly improving in all areas. "

★ ★ ★ ★ ★

"We reviewed linear functions. The student understood how to calculate the slope of a line by looking at the graph and using the slope equations. He knows now how to find the equation of a line given a graph, given one point and the slope, and given two points. He did several problems from the practice package. "

★ ★ ★ ★ ★

"The student and I prepared for her exam on Friday. We spent our time going over atomic theory. Specifically we discussed Dalton, Thomson, Rutherford and Bohr. We ended our session with a discussion of the periodic table, atomic number and atomic mass."

★ ★ ★ ★ ★

"During this session, we went over the different concepts that the student struggled with during the previous session. She has a deeper understanding of statistics, and she started understanding how algebra works. She is still not very comfortable with linear equations and systems of equations, and we will focus on those concepts next time. I intend to design my own equations to assess how much work still needs to be done."

★ ★ ★ ★ ★

"Conducted test preparation for chapter on ICE table equilibrium, use of equilibrium constants (Keq, Kp, Ksp), solubility, and rate law. Practiced solving for various equilibrium concentrations based on given initial values (using ICE table and Keq). Clarified concept of Q vs. K and how Le Chatelier's principle applies to equilibrium shifts. Practiced calculating molar solubility values from Ksp and solving for Ksp based on equilibrium concentrations of dissolved solids. Practiced deriving rate law expressions based on given experimental concentration and rate data of a reaction. Solved for reaction order (with respect to each reagent and overall reaction) and the rate constant."

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Session Summaries by Tutors