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Private In-Home and Online Algebra Tutoring in Rosemead, CA

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Session Summaries by Algebra Tutors

Rosemead, CA Algebra tutoring
* The topics covered today were: adding and subtracting rational expressions and solving equations involving one variable. * Student told me he received a B on exam 1 and had a passing grade on exam 2, as well as a perfect score on the homework! *Student is expected to finish the pre-test assignment that we did not fully complete today.
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Rosemead, CA Algebra tutoring
The student and I covered: simplifying, adding, and subtracting functions containing square roots. The student did very well and understood how to do the math easily.
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Rosemead, CA Algebra tutoring
The student was working on adding and subtracting polynomials. He needed to work more on distribute negatives.
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Rosemead, CA Algebra tutoring
The student has the option of testing out of the Algebra 1 next month. That is his immediate goal. In the beginning, I spot checked his knowledge by using the assessments at the end of chapters. We found a good starting point with exponents. We covered laws of exponents. We reviewed negative exponents and an exponent of 0. Next, we reviewed multiplying polynomials with emphasis on the difference of two squares and squaring a binomial. He had minor difficulty recognizing which pattern to apply to which expansion. After a couple of examples, he was fine. I emphasized that learning his squares up to 20 will not only help in Algebra (e.g., factoring) but also in Geometry (e.g., Pythagorean theorem). I showed him how we can use the differences of two squares in the form of (x+1)(x-1) = x^2 - 1 to compute the product of numbers that are two apart (e.g., 19x21=20^2 - 1 = 399). So, learning his squares has this added benefit. The student was engaged throughout the session and is quite motivated to test out of Algebra 1. I assigned him the next chapter on factoring. We will try to review one chapter a session. He will also do independent study between sessions..
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Rosemead, CA Algebra tutoring
Today the student and I worked on quite a bit. He had questions regarding quadratics that had real life applications. He had 3 similar problems. The student was able to evaluate the zeros of the parabola and understand that they are the starting time and end time of the flight of the projectile. He was also able to evaluate and understand that the axis of symmetry represents the time it took for the projectile to reach its maximum point. He then was able to evaluate and understand that the vertex represents the maximum height of the projectile. The student continued to use the graphing calculator to reinforce his calculations and understanding of the concept. The student continues to grasp the concepts quickly. He asks excellent questions that prove he is really thinking about the real world application of the math. He continues to gain proficiency in the use of the graphing calculator which is enhancing his confidence and skill level.
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Rosemead, CA Algebra tutoring
The student had a couple questions about what we worked on Tuesday, so I cleared those up first and helped her finish that homework. Then we covered the content for her next homework. It was all about multiplying through by the lowest common denominator to remove fractions. I emphasized the importance of factoring anywhere you can so she could put everything in its lowest terms. We worked through all the practice problems and she seemed to be getting it. I reminded her to make the corrections for the previous homework as well. As long as she completes the homework and quizzes from the content we covered this week, she will be right on schedule.
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