Recent Tutoring Session Reviews
"We started going through the midterm review booklet. We talked about piecewise functions and how to determine if it is continuous at a point as well as the different types of discontinuities. We reviewed properties of even and odd functions and transformations both graphically and algebraically. We practiced using both the triangle method and the unit circle to find the exact value of various trig functions as well as find the angles for the inverse trig functions. Lastly, we went through a couple of word problems. We practiced graphing a sinusoidal function from given data points and then wrote an equation to represent the graph. We also used the law of sines and cosines to find the values of angles and sides of scalene triangles as well as finding their area. The student is doing well with these topics when he takes his time to read the questions carefully and doesn't try to rush when solving. We plan on finishing going through the rest of the midterm review during our next session."
"We went over the first 4 sessions in chapter 7 - simplifying radical expressions. The student is doing well with all of the concepts separately, but confusing some ideas when doing problems that combine several concepts. I recommended going back through several examples from each section."
"We gauged what the student remembered from his calculus class last semester, and we worked on piecewise functions for absolute value, limits with direct substitution, limit laws, and horizontal and vertical asymptotes."
"We discussed factoring, simplifying, and distributing algebraic functions. We discussed the rules for when you can and cannot add exponents and what a negative exponent means. We closed with an optimization problem."
"The student had some notes and example problems on two different packets, and we went over all the details. Then, I checked her work on the examples, as she had already filled in most of them. She mostly did them correctly. There were some blanks in the notes to fill in, so I helped her with those. In addition, I showed her a couple of shortcuts for solving probability problems involving conditional probability and problems involving "at least one," and she liked the shortcuts."
"We covered: curve sketching, derivatives and their properties, trigonometric functions, trigonometric identities and the relation between different trigonometric ratios, and geometric proof of common trigonometric identities."