Award-Winning Test Prep & Academic Tutoring in Ventnor City, NJ

"Today was our last session, so we wrapped up loose ends. We practiced a few more questions involving combinatorics and reviewed rates. We practiced a number of sample questions involving rates of travel and of work. "

"Today the student and I reviewed the homework she was assigned from school, which covered solving for surface area of cuboids and complex cuboidal figures along with simplifying fractions. She understood everything and figured out how to simplify the complex cuboidal figures to solve them. In general, she is incredibly pleasant to work with- she is determined to get the correct answers and works hard."

"In our second session, the student and I continued to chew on the unit circle and the implications certain angles have on the shape of the corresponding right triangle drawn from the center of circle to the point at which the angle sweeps to. She was able to use the cutouts we made last week to locate the correct points and reference angles on the unit circle and seems to be able to visualize the triangles and recognize the sine and cosine intuitively. However, there are still some moments where she confuses the opposite and adjacent side of the triangle. I believe this is stems from a difficulty visualizing the correct triangle for the given reference angle. Thus, we spent most of the session practicing drawing the correct right triangle for a given angle. This requires many steps including finding the Point (P) on the unit circle, identifying the Reference angle (R) from the x axis and then visualizing/drawing the correct Triangle (T). From there it should be trivial finding the opposite. adjacent and hypotenuse sides. The crucial step between identifying the reference angle and the correct triangle is where she has the most trouble so we used a song to help her remember to repeat the three steps PRT so that she can see with absolute clarity which side is longer and which is shorter especially on the 30, 60, 90 degree triangle which is the most challenging. If she practices these steps to a tee developing her consistency and stubborn adherence to visualizing the correct triangle, I believe she will have no trouble on her upcoming test this Friday in trig. "