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Private In-Home and Online ISEE Tutoring in Avondale, AZ

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Session Summaries by ISEE Tutors

Avondale, AZ ISEE tutoring
At the start of the session, the student wanted to go over two concepts on the quantitative reasoning and mathematics achievement sections of the practice test that she could not unravel on her own. Thus, I spent much of the session ensuring that the student grasped the formula for slope and on how to approach solving for volume in the case of three-dimensional objects. I first introduced the formula for slope then talked about what the x's and y's in the formula are indicative of, that we're talking about points on a line. I showed her a visual of this. We talked about how x and y pairs always have a relationship and each set of points have a relationship, which is how we come to the line itself and the line's slope. We then went about selecting x's to plug into an x/y formula. The student had much success with this (we collaborated), but what took a little longer for her to grasp and be able to reiterate was the idea that the x, y pairs are unique: that by choosing to plug in one x in a formula we're going to end up with a specific y value that makes this formula true. Once we plugged the two x, y pairs pertinent to one formula into the formula for slope, this was smooth sailing. The student was pretty easily able to complete the comparison dictated by the problem once we had slope in hand. The one item the student struggled with conceptually was whether or not you could arrive at the same slope if you were plugging in different x/y points. To help her with this, I had her come up with two different pairs and plug these into the slope formula. She was able to see that while the points in question were different, the slope was no different. I told her that as long as she could understand that the slope was the same because we're talking about points on the same line, so there is a clear and consistent relationship between them, she'd be in good shape for the exam. I had the student apply her new knowledge when solving a different slope problem on the practice test. Additionally, I tested her understanding by asking her some pointed questions about the formula for slope and slope itself following this. We also touched on solving for the area of a one-dimensional object like a square (which the student is very comfortable with) versus a cube. After working together to draw distinctions between squares and cubes and the formulas we often associate with each, she was able to arrive at the right answer for a question about how many cubes could fit into a specific size box. Her homework for next session is unsurprising: her task is to finish the practice test.
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Avondale, AZ ISEE tutoring
The student and I began the session by discussing her last homework assignment. She had completed most problems. She seemed to understand the concepts from her homework well, but she was a bit hesitant on solving for x in an algebraic equation when multiple steps are needed. We practiced quite a few of these types of problems until she felt more comfortable. Then, we discussed how to solve the quantitative comparisons found on the ISEE. I told her that she needs to make each column in a form that's comparable. For example, if given one fraction and one decimal, convert one into the other form so that it's easy to compare which is bigger. We then talked about the basic geometry concepts that could be found on the test, including triangles, circles, and quadrilaterals. We discussed finding angles, perimeters, and areas in these shapes. Then, we did a comprehensive review of all of the material that she and I have covered in our sessions. We did a couple of practice problems from each concept to ensure that she still remembers how to do it and has confidence going into the test. She remembered the concepts very well! At the very end, I gave her some test-taking tips. I told her not to get stuck on tough problems but to guess and come back to them at the end, if she has time. That way, she can prioritize easy problems and get more questions right. I think she will do very well on the test! She was a joy to work with, and I wish her the very best!
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Avondale, AZ ISEE tutoring
Student completed practice essay on "Role Models;" he outlined and paced well. He did very well with reading and algebra.
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