Recent Tutoring Session Reviews
"The student is working on her summer math packet. We worked on word problems and solving inequalities in one variable."
"I gave the student a pre-assessment test for the concepts that he should have been introduced to in third grade. He did some multiplication problems. I was able to print the curriculum guide for 4th grade math, which will also be used to guide the instruction. I gave him some homework to review some skills, and I will be meeting with him again on Wednesday."
"We began with a real-world scenario warm-up, which revisited long division of large numbers in context as a road trip problem from the student's address, extending across the US and ending in Los Angeles, CA. We then moved to the calculation of the area of a slightly irregular geometric shape laid onto a coordinate plane. The overall shape was "cut up" into 3 areas of simpler shapes of areas that could more easily be calculated. While I regularly utilize extensive inquiry during my lessons, she attempted 2 cuts into the figure, which I recognized as very good, interesting thoughts, though they did not achieve simplified geometric figures with basic, well known area formulas. To keep her engaged, I alluded to the fact that if she were to attempt a cut in a different direction which would result in a 90 degree angle with the top side of the figure (while showing her the cut direction with my pen) she might find a more familiar shape. She was then able to successfully complete all calculations, with guidance. I told her that I witnessed her solve problems that she would often tell me she "didn't know" how to do, after I pushed her to continue focusing, even after mistakes (and without giving away answers). Therefore, I knew she was capable, which she acknowledged. From there, we went back to reviewing algebra, solving for a single variable, which she was able to do with unprecedented focus and precision. I continued building complexity for her, and we began reviewing slope/intercept form (y=mx+b), isolating the "y" variable and graphing. She reacted that she scored poorly on previous quizzes in this subject, yet she was highly successful in accurately solving for "y" during multiple attempts. I highlighted this fact for her. She became so proficient at solving for variables and graphing, that I went deeper into the idea of equations of 2 variables, one "input" and another "output" variable, how they relate to "y=mx+b" and how they may be useful in business and other real-world applications, and finally invented a new problem for her involving the variables "p" and "star". She demonstrated the ability to recognize the input and output variable, and solve for the output. This came to the end of our session, so I asked her to complete the graphing of this equation for homework. I would say this was a very good session with near breakthroughs. If she continues gaining focus and confidence, she will become very successful in Algebra 2."
"We went over the student's review for his test tomorrow. He was great and really receptive. I told him that he can go use a vocabulary app to help him review and study for his test."
"With Student 1, I covered algebraic expressions and word problems dealing with percentages. He struggled a bit with word problems using percentages. He had a great attitude with the material, and he fully acknowledged that he did not understand percentages. I gave examples and new ways to approach a percentage word problem. This session was spent preparing him for his exam the following day. While with Student 2, we covered the conversion of decimals to fractions, decimals to percentages, and fractions to percentages. This is brand new material for her. We went over her homework, and I left her a cheat sheet explaining all the rules for conversions."
"I spent the first 45 minutes with Student 1. We went over his homework, which was on adding and checking your work. I helped him with this, then we practiced multiplication tables. Finally, I reviewed fractions, decimals, and percents briefly. I then showed him how to add decimals. I spent the last 15 minutes with Student 2. We went over how to write numbers again, and I gave her some addition problems. I also introduced subtraction to her."