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Award-Winning Private Pre-Calculus Tutoring in Hanover Park, IL

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Private In-Home and Online Pre-Calculus Tutoring in Hanover Park, IL

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Session Summaries by Pre-Calculus Tutors

Hanover Park, IL Pre-Calculus tutoring
During my session with the student, we focused on calculus, and specifically plotting co-trigonometric functions such as secant, cotangent, and cosecant. I walked him through the process, and showed him to do it given the period, phase shift, and vertical shift. This is new material for him, so we are moving slowly, however, he grasps the concepts extremely fast and applies them correctly.
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Hanover Park, IL Pre-Calculus tutoring
The student and I recovered section 1.6 and proceeded to work on 1.7. Section 1.6 was about transformations, reflections, and transformations of functions and their graphs. I think we made progress toward being able to answer more complex changes to our graph. I hope to eliminate any of the remaining confusion next time. Section 1.7 was all about modeling word problems with functions. It was a diverse section, but we were able to cover most of the types of questions except mixing problems, which I will cover next time. She is in good shape to take her exam sometime fairly soon.
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Hanover Park, IL Pre-Calculus tutoring
Physics: Newton's law F=ma, force of friction, normal force. Pre-calc: graphing of trigonometric functions and translating of functions based on amplitude, phase, period, and vertical translation.
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Hanover Park, IL Pre-Calculus tutoring
We continued to practice on how to graph trigonometric functions, sine and cosine, and find amplitude and the period of the functions. The functions presented a change in amplitude, a phase shift and/or a vertical shift. We followed the same procedure as yesterday, and for each function, we determined the 5 points of the trigonometric cycle and its corresponding values. The student understood the concepts and methods of solution. Overall, he had a better understanding of the concepts and calculations, and he is ready to move forward.
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Hanover Park, IL Pre-Calculus tutoring
The student was working on function transformations. We went through the various rules logically and made a flowchart for how the transformations affect functions. We did, at one point, take in a slide for reviewing basic triangle geometry and exponents, which will also be helpful for future SAT preparations.
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Hanover Park, IL Pre-Calculus tutoring
Today, we covered composite functions and how to define and manipulate them algebraically as well as gain an intuitive understanding of one-to-one functions. The student seemed to have the most trouble when a problem involved fractions, but I was able to show him how to dissect what information is available when he feels stuck in order to move on and obtain a final answer. We were able to focus on the material at hand and really simplify the problems that appeared too difficult (the student ended up mentioning that the material wasn't too hard after all). Homework was assigned from the homework that his professor already gives, and we will use that homework to work on Logarithmic and Exponential functions next week. All in all, I can see progress. I can see when a lightbulb goes off, which is a good sign of improvement.
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