Recent Tutoring Session Reviews
"Today with the students we reviewed graphing pretty heavily. We discussed linear functions, slope, and intercept. We also started going over the different forms of the equations. Then we went over all the different concepts involved with circles. We discussed area, circumference, arcs, arc measures, arc lengths, and sectors. Both did quite well, and were picking up the information fairly easily."
"Tonight we worked on solving problems with one variable. She will focus this week on working with negative signs/subtraction. When there is a subtraction sign in a problem that also involves the distributive property [e.g.: 6x - 4(9-x) = 106] she needs to apply the negative sign applies to both terms inside the parenthesis. Her command of math facts seemed pretty strong this evening."
"We continued to practice solving systems of equations with both the elimination and substitution methods. We then introduced working with exponents (adding, subtracting, multiplying, and dividing variables with exponents). We practiced using problems in the student's workbook."
"The student and I reviewed a large portion of the material that we've covered thus far and he's made some great progress retaining the work we've done. We further discussed systems of equations and solved a complex example word problem."
"The student and I started working on the lessons that she struggled with most last session. These were the equations with fractions on top of fractions and she had to simplify or solve for a certain variable. I started letting the student do it all by herself so that I could see where she was at in remembering it all. She did much better than last session, but she definitely still struggled and second guessed herself a lot. With more practice with them, she will do better. We did some more work on linear equations as well, and ratios/proportions. One problem that we struggled with said "it takes 56 minutes for 5 people to paint 4 walls, how long does it take for 10 people to paint 12 walls?'. After some work with the first one, we figured it out and could solve the rest. We should be getting to quadratic equations soon, especially if she finishes linear lines by herself."
"The student was having some problems with confusing negative signs while finding linear equations, so we had to practice that some more today. However, he does seem to be understanding the word problems we have begun doing."
"We practiced more of graphing lines by finding coordinate points. We also learned about and practiced find the x- and y-intercepts and graphing lines with those. We ended the session by going over how to find the slope of lines."
"We covered both algebra and arithmetic concepts this session. We worked on adding and subtracting positive and negative integers, conceptualizing positive and negative as different colored items that cancel each other out. We discussed number families in addition and subtraction as well as multiplication and division, focusing on number families that add up to ten (e.g.. 7, 3, and 10). We put these concepts into practice through algebra problems, focusing on adding and subtracting like terms. Finally, we started multiplication memorization by conceptualizing and practicing multiples of nine, using the fingers trick and a conceptualization of multiplying by (10-1). There were several "light bulb moments" this session. I look forward to seeing the student get more confident in using these concepts over time."
"In this session, the student and I started with graphing problems, where we worked on correctly graphing linear equations and rearranging equations to slope-intercept form. We then did general algebra practice sets to get practice with a variety of practice."
"The student and I continued his test review. We worked on simplifying and factoring polynomial expressions. We reviewed techniques on find the LCD in order to add, multiply, subtract, and divide these expressions."
"He had some homework problems that he completed prior to the session so I checked those first. He got everything correct except one small math calculation error. Then we continued working ahead in his textbook with multiplication of real numbers and the distributive property. He was able to get sample problems correct that I gave him to try."
"We covered basic arithmetic and operations using negative numbers. We covered the material he has done during his first week of school and then spent a half an hour teaching him how to use a daily planner. I expect him to keep track of when his homework is due and we will prepare for each weekly quiz."