Recent Tutoring Session Reviews
"Today we covered questions the student had from her summer packet. Specifically, we focused on exponential rules and simplifying expressions. This is an important foundation to move on to the later chapters in the book dealing with polynomials. We also covered linear equations and ratios. I will email some practice worksheets dealing with ratios and linear equations. However, I want her to concentrate on doing practice tests/questions from chapters 3-6 in her book (and skim through types of problems to brush up on the material). This way, next session we will start fresh with chapter 7, moving to polynomials and radicals."
"I met with the student for the first time today and all went well. We went over his homework assignment and he made a few corrections. We went over a previous test on order of operations and worked on a few extra problems and discussed the rules for completing them correctly. In class they are working on graphing using intercepts, we worked on several problems and talked about standard form and slope intercept form. He is doing well in his summer school class. At this point he has a 96% in class. We will continue tomorrow."
"Today the student and I finished chapter 9 by reviewing the chapter 9 test. She seems to have a good handle of the major concepts of the material. She is working on how to multiply initial coefficients by each other (for example, 2x*2x = 2x^2). We moved on to the beginning of chapter 10, which is graphing polynomial equations. She seems really comfortable with this material, so we moved through it very quickly."
"Tonight was the last evening for algebra review. We covered how to complete the square and solve quadratic equations using square roots/completing the square. We also worked through how to find the vertex of a parabola and graph the quadratic function. The last lesson, we reviewed square roots including simplifying, adding/subtracting, multiplying/dividing, and rationalizing the denominator. We finished by reviewing the distance and midpoint formulas and how to graph absolute value functions."
"We specifically revisited slope and the equation of a line. We went over how to solve a system of equations, interpreted algebraic word problems, solved algebraic equations, and discussed how, intuitively, to extract information from a graph without given explicit values."
"We almost finished reviewing Algebra I and went over complex fractions, solving quadratic equations, and roots/fractional exponents. Solving quadratic equations was new to the student but he learned very quickly."
"The student and I continued reviewing algebra topics, picking up from where we left off last week at lowest common multiples. We also went over factors including lowest common multiples of monomials with single and multiple variables. Lastly, we worked on exponents, multiplying/dividing terms with common bases and different exponents, and negative and positive exponents."
"The student and I went over finding slope and some of the previous geometry videos I had given him. He seemed very happy with the videos I gave him stating that "they were very easy to follow and understand." I left him with 18 problems to finish off our Algebra review. Next week we will be looking into going forward with geometry."
"The student and I worked on the beginning of chapter two of the Algebra book I am using. These sections dealt with solving equations with variables through all of the mathematical operations. The student did very well on the worksheets, though she had some trouble with multiplication and division. The student catches on to new concepts very quickly and I have no doubt that she will continue to do so. I gave the student homework over the sections we completed, so that she can have extra practice with this concept. I have no concerns."
"Went over previous test and corrected problems. He is having trouble with small errors (like forgetting to write down the variable in his answer) and is losing points. I've advised him to slow down and check his work. We also went over radical expressions and how to simplify square roots. He is not scheduled to learn this in class until next week."
"Today we continued working on solving equations for a variable. We worked on using the basic principles of algebra to be able to solve the problems for the given variable. The student was better with the concept this session, as we worked more questions he continued to improve in his confidence and getting the correct answer. We will continue to work on these problems in our up coming session."
"The student and I worked on some more problems from her SAT prep book. These problems range in type (algebra, geometry, number theory, etc.), but one area I've noticed where she can use a little more practice is problems that ask her to find common factors. Often, the solution to these types of problems involve determining a number's prime factorization, a skill she understands on some level, but is not totally fluent in yet. This is a subject I would like to revisit with her in our next session."