Recent Tutoring Session Reviews
"The student and I went over systems of equations in depth, including graphing them, finding their intersections through tables, graphs, and directly solving them by substitution and elimination. We also looked at a few real-world applications of two equations and how to interpret the given data with real variables that we choose to assign."
"We went through more algebra practice problems today. The boys were definitely showing improvement by the end of the session! Student #1 and student #2 and I will continue to review with negative numbers. I will continue to make more challenging problems for them, including lots of practice with negative numbers, fractions, and eventually some exponents."
"We covered the student's homework that is due tomorrow. We worked on solving systems of equations in three ways: graphing, substitution, and elimination. We also reviewed creating algebraic equations from word problems. I have no concerns."
"I worked with the student on adding and subtracting money, solving word problems, less than and greater than problem types and reviewing fundamental mental math concepts. I used his math worksheets and assessments from class to understand the problems and mastered the skill."
"This session was an hour long. The student has a quiz tomorrow; therefore, we worked problems that went over adding, subtracting, multiplying and dividing decimals, standard and scientific notation and rounding decimals."
"Today we worked on applications of partial derivatives (gradients and directional derivatives). As usual, the student does very well with the concepts, and continues to review derivative rules. I've recommended that she make a list of rules and formulas that she still needs to review and to spend extra time studying them before exams."
"Today's lesson focused on absolute value functions. We looked at methods of graphing them, as well as writing the equation of a given graphed function. By looking at important rules of function shifts, we were able to easily generalize some steps for graphing the functions. He picked up on the material quickly and performed well with it by the end of the session. We also did a quick review of some material covered in the beginning of the year. We also practiced compositions of functions and function inverses."
"We reviewed the student's homework on prime, composite numbers and factoring (finding all factors). We reviewed strategies for finding all factors (make a table, use divisibility rules). We worked multiplication and division word problems and he made examples of multiplication algorithm, area model, long division, and partial quotient division to put in his school notebook. The next session will be writing. The next math session we will focus on multiplication and division of large numbers since that is the next math unit at school."
"The student and I reviewed 4.1-4.4 sections of his book for his quiz tomorrow. These topics included: factoring x2 + bx + c, factoring ax2 + bx + c, graphing and solving for quadratic equations in vertex form, intercept form and standard form, finding the vertex & axis of symmetry for each of these equation types, finding maximums and minimums of graphs for all of these forms, and how changes in a, b, and c manipulated a given parabola graph."
"The student's teacher required all students to complete their homework in class so we did not have any homework assignment to work on. Instead, we reviewed sections 1-5 of chapter 5 (as far as he had learned in class). We worked through practice problems in the book to prepare for his next test (which he said was next Friday). We were not able to go any further in the textbook/problems because he could not work on problems from those sections until they had been covered in class."
"The student and I worked through her math homework for the week. She is starting to do better with multiplication without having to draw out every problem. She is also doing better with picking out the relevant numbers in word problems."
"Went over practice problems for his exam tomorrow. The student is grasping everything rather well and starting to be more cautious with his problem set ups."