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Private In-Home and Online Pre-Calculus Tutoring in Lauderhill, FL

Receive personally tailored Pre-Calculus lessons from exceptional tutors in a one-on-one setting. We help you connect with in-home and online tutoring that offers flexible scheduling and your choice of locations.

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Session Summaries by Pre-Calculus Tutors

Lauderhill, FL Pre-Calculus tutoring
We worked on addition and subtraction of vectors. We worked on the different techniques used in adding and subtracting vectors such as adding the components or using SAS rules for triangles.
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Lauderhill, FL Pre-Calculus tutoring
We went over problems involving the unit circle and trigonometric identities. By the end of the session, the student was able to solve the problems correctly.
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Lauderhill, FL Pre-Calculus tutoring
The student and I worked on her Pre-calculus, which covered graphing rational functions. We went over the steps to graph functions, including how to find the horizontal and vertical asymptotes. We then did several problems where she practiced finding the symmetry, intercepts, asymptotes, and using this information to graph the function. After doing a few problems together, the student got the hang of it and did very well graphing on her own.
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Lauderhill, FL Pre-Calculus tutoring
The student and I worked on graphs of exponential and logarithmic functions today. First, he made a table of each so that he could plot the points and see the appearance of the graphs. We then analyzed the properties of the graph. I pointed out that as they are inverse functions; they are reflected over the line y=x. This also means that while exponential functions have a horizontal asymptote, logarithmic functions have a vertical asymptote. In the parent functions they are on the x- and y-axis respectively. I told the student that this will also represent a beginning or end point of the domain and range, respectively, as asymptotes represent a value that the function cannot have. He then did some problems requiring him to write these functions with horizontal and vertical translations. For horizontal translations the number added must be paired with x inside parentheses, and for vertical translations the number must be added outside of the parentheses. He needs to remember that any translation will also affect the asymptote, domain, and range. He should identify what direction they are shifting in, and they will shift the same amount in this direction as the graph itself. The student finished with a couple of function composition problems. He is now pretty accustomed to this kind of problem and was able to do them on his own without difficulty.
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Lauderhill, FL Pre-Calculus tutoring
We worked on writing polar coordinates three different ways. This concept was really difficult for her to grasp so we spent most of the session working through these problems. I also taught her how to graph polar coordinates. We then moved on to changing Cartesian coordinates into polar coordinates. We also briefly walked through how to sketch parametric equations.
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Lauderhill, FL Pre-Calculus tutoring
Tonight, the student and I worked with the unit circle. We began by working on labeling all important values by memory. This included 0, 30 degrees, 45 degrees, 60 degrees, 90 degrees, etc. We then spent some time working on simplifying trigonometric combinations and reducing them to single terms. Finally, we worked on proving various trigonometric identities, including negative angles and addition and subtraction identities. The student is very smart and seems to be gaining confidence every time we meet. She loves to correctly solve problems. The only mistakes the student makes are minor errors regarding arithmetic or handwriting. I am trying to help her slow down and keep calm while working, for this will help her avoid these problems in her work. The student has a great attitude and is a pleasure to work with.
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