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Private InHome and Online Trigonometry Tutoring in Middleton, WI
Receive personally tailored Trigonometry lessons from exceptional tutors in a oneonone setting. We help you connect with inhome and online tutoring that offers flexible scheduling and your choice of locations.
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Recent Tutoring Session Reviews
"The student struggled some with his previous test (Trig Identities, 1.5 weeks ago). We plan to review these concepts shortly before his final and/or makeup test in a couple of weeks.
But, this session, we focused on new material. This included Law of Sines and Law of Cosines. He has a great handle on Law of Sines. The law of cosines was new and we discussed how it is derived from the Pythagorean Theorem. He worked through a number of example problems applying Law of Cosines to SAS & SSS triangles. He does well with these problems conceptually. The last type of triangle that requires Law of Cosines is the Ambiguous Case. This is for SSA triangles that can make two possible triangles. This case requires the Law of Cosines and the quadratic equation. Once again, he seemed to understand the concept, but needs repetition in order to avoid minor errors. He has a popquiz sometime this week and a test Friday. I showed him a table of problems that will help him practice both laws as well as connect the types of triangles to which law is necessary."
But, this session, we focused on new material. This included Law of Sines and Law of Cosines. He has a great handle on Law of Sines. The law of cosines was new and we discussed how it is derived from the Pythagorean Theorem. He worked through a number of example problems applying Law of Cosines to SAS & SSS triangles. He does well with these problems conceptually. The last type of triangle that requires Law of Cosines is the Ambiguous Case. This is for SSA triangles that can make two possible triangles. This case requires the Law of Cosines and the quadratic equation. Once again, he seemed to understand the concept, but needs repetition in order to avoid minor errors. He has a popquiz sometime this week and a test Friday. I showed him a table of problems that will help him practice both laws as well as connect the types of triangles to which law is necessary."
"Today we continued to review for the student's test, reviewing his formula sheet again, understanding the different trig relationships and identities. I went over the Pythagorean identities and showed how if we can have one of them memorized, the others can be derived. For the remaining hour, we just continued to practice the trig identity proofs/problems as more practice will help in recognizing patterns and which methods of factoring may be most useful. Specifically, today, we broke down problems from the beginning and developed his thought processes in how to start a given problem, starting from the more complex side of the equation and then trying to outline how we can get from the start to the finish. We will continue again next week after his next class reviewing his homework problems and continuing practicing with more trig identity problems for his test next week."
"We reviewed multiplication facts 3's and 4's and tested the student on how quickly he could remember the facts. I have seen much improvement and we will begin 5's tomorrow. We practiced flash cards. We practiced 3 digit multiplication and dividing decimals. Reviewed adding fractions with unlike denominators. Solved problems by graphing points in all four quadrants of a coordinate plane. Included the use of coordinates and absolute value to find distances between points with the same first coordinate or same second coordinate. Solved for x using x+p=q or px=q. Found the area of triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes, applied these techniques to solve for area."
"Today we used an algebraic equation to solve word problems regarding markup and markdown prices. She provided me with her notes from class. I explained the way to solve these problems and which equations to use for which type of problem. I told her that once she knows the correct equation to use then she has to figure out which variables are given and which variable the question is asking her to solve for. The variable that the question is asking her to solve for is going to be her x value. From that point, all she has to do is put all of the given information into their corresponding places in the equation and solve for x.
I told her to read the problems carefully to see what is given. We will meet again on Monday and work on more of these problems. I left her practice problems for our next session."
I told her to read the problems carefully to see what is given. We will meet again on Monday and work on more of these problems. I left her practice problems for our next session."
"In this morning's session, the student worked toward increasing math fluency in the areas of multiplication, subtraction, and addition through a game of war utilizing playing cards as addends, minuends, and factors and dice to determine the numerical operation for each play. She appeared to really enjoy playing a game to practice fluency and increases in her math fluency, particularly as it relates to addition were observes. During the remainder of the session, we worked toward increasing the student's skills in the process of multiplying with multidigit numbers. Using color coding to assist with maintaining places and multiplying across places, we practiced the process of multiplication with multidigit numbers. She was attentive and focused during this component of the session and was able to articulate the process and an explanation as to the reason a particular strategy, like circling the carried number, is used. We will continue to work in this area during our next session."
"We reviewed the student's homework assignment, which involved simplifying and solving rational functions and expressions. She had some initial trouble determining which things were allowed to be canceled, but I spent time going over this issue and explaining why variables cannot be canceled merely because of their placement in the numerator or denominator. After my explanation and demonstration, she got the hang of these problems, and she was able to finish the rest fairly quickly."
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