Recent Tutoring Session Reviews
"The student and I continued to review transformations of functions (shift up/down, left/right, and vertical scaling), and practiced converting graphs into function equations. She is still has some struggles with fraction math, so I hope to review more of that with her next week."
"Discussed topics that have been covered in the last 6-7 months of school in math: numbers and rational/irrational values, functions, their purpose and visual interpretation, and talked about add/subtract/multiply/divide. We finished his math h/w, and he was doing the job on his own. Word problems involving algebra functions are the newest and hardest topic, so we will be sure to continue working on that. His reading level (also reading aloud) is great. He usually can identify when he has read a word incorrectly or accidentally said a different word completely, and will correct his mistake. He especially enjoys geography and to tie that into sports and other activities he enjoys, it really sounds like he has incredible spatial reasoning intelligence that comes naturally to him and it sounds like his life goals all involve utilizing that intelligence. Reviewed current science topic of volcanoes. Every topic involved the earth or cycles in the ecosystem, and the main point to be made here is that there are many different factors and cycles that determine the condition of the planet and its inhabitants. Symbiotic relationships, the planet and its cycles are a huge amount of info, so lots of topics to be covered and reviewed."
"The student has a quiz tomorrow in probability of multiple events. Her teacher introduced her to decision trees as a method for determining the probability of a specific event or combination of events. The first half of the lesson focused on the meaning of independent, dependent, and mutually exclusive events and the three main equations used to calculate these probabilities. She did a good job with this section. She worked through about 7 textbook problems."
"The student has a quiz this week, so our main focus was to prepare him for the it. Specifically, this quiz will cover the trigonometry of similar triangles, the unit circle, finding area of normal polygons, and properly using the law of cosines and sines. We haven't done any work on area yet, so I brought some more problems that would give the student more experience finding the apothem of many different shapes by using similar triangles. We used the law of sines, law of cosines, and several different methods of finding area to accomplish this. I felt as though the student was far more comfortable with this material by the time we finished. We also went over when to properly use these formulas. I left him with a short list of the uses of the law of cosines and the law of sines for him to memorize. I also brought some uncommon and more complicated trigonometry problems that were meant to strengthen his understanding of triangles and their properties. We went over several of these problems, and he did well. Next time we meet, he will have moved on to deriving the law of sines and cosines and applying them to word problems. I will bring more advanced problems to work through as well as go over any questions he may have about the current material or quizzes that have been returned."
"The student worked on a subtraction portion of his worksheets. After he was done with this I timed him on his addition flashcards. Finally we went over the concept of fractions. He did a very good job of concentrating today; I think it was partly because I timed him to see if he could get his work done more quickly, which he did."
"The student and I covered the same concepts we did last session. We reviewed square roots and simplifying square roots. We then moved on to Pythagorean theorem and finished with cross multiplication. He is ahead of the class currently and I told him to master the concepts we covered. He plans on reading the chapters now and relearning what we covered."