Recent Tutoring Session Reviews
"The student has a quiz this week and wanted to review the various identities of trigonometric functions. In particular, we went over the Pythagorean identities, double angle formulas and sum and difference formulas. After discussing these properties, we did several practice problems on the white board. She feels very comfortable with the material and was able to solve all of the problems with little intervention by me. I anticipate that she will get a very high grade on her quiz."
"The student has a test on Wednesday. She needed me to review how to use the triangle to answer inverse sin, cos, tan, csc, cot, and sec functions. We also went over graphing again. I owe her some help on the word problems before the test."
"The student has a test tomorrow so we reviewed the topics she needs to know. She was having difficulties finding an angle using laws of cosines given all three sides. We were able to look at how she got the problem wrong and remedy her mistakes. We went over the concept behind dot product and how to tell if a pair of vectors are orthogonal, parallel, or neither. Lastly, we worked through problems on finding the length of a diagonal."
"We prepared for an upcoming quiz. We reviewed matrix operations and concepts. The student had an easy time with dot multiplication, solving for equation systems and inverses. We went over multiple exercises to make sure the student was ready. He takes the quiz on Tuesday."
"We went over exponential functions and models according to the student's homework. She pretty much had the equations/models down pat, but just needed some reminding on how to manipulate the graphs (e.g. horizontal/vertical translations, x-axis/y-axis reflections). We reviewed how the graphs can be transformed by using different bases and coefficients."
"Today the student and I worked on trig identities and working on trig problems in radians. We began by reviewing how to do conversion between degrees and radians, and how to find what quadrant an angle of a certain amount of radians would be in. I also showed her how to find sin, cos, and tan of 30, 45, and 60 degrees using the ratios of the sides of 30-60-90 and 45-45-90 triangles. She was doing well with this, and seems to have conversions down, although I told her to be sure to always write the units to be sure that they cancel when she multiplies her figures by the conversion. This way there will be no doubt which unit goes in the numerator and which goes in the denominator. I also went over the inverse and co-function identities which will be important in later trig problems. Finally we reviewed problems from her homework involving angular velocity using a formula with arc length, degrees, and linear velocity. She was able to do a couple of these problems successfully at the end of the lesson and should be ready for tomorrow's quiz on this topic."