"This two hour session was intended to focus on preparing the student for a specific section of the test; Quantitative Reasoning. This section requires students to have a certain fluency with math vocabulary. I also wanted to use this session as an opportunity to focus on ratio, proportion, and probability problems. The student worked through 6 complete Quantitative Reasoning practice sections, each section containing five questions. She showed a remarkable fluency the problems; for two problems. She was also equally adept at decoding the algorithm of functions by looking a series of data in a function table. She also used a Venn diagram correctly to determine what categorical descriptions would allow a student to occupy the common shaded region between two distinct categories. She also added mixed numbers correctly, and showed all of her work in the process. Then, she was also able to express all fractions in simplest terms; I reminded her that all fraction problems will express the answer choices in simplest terms. We then reviewed the concept of probability. Next, she worked on a series of word problems that required her to take a part to part ratio and convert it to a part to total relationship, to determine the total number of a particular thing in a group. She labeled the part to part and part to total relationships in each problem, and she worked to set up a proportion with the missing variable. I showed him a ratio-proportion problem that gave a three part relationship. She added all the parts to create the part to total relationships needed for the proportion. She then created the three proportions to find the total number of each part in the whole. During this lesson, we reviewed the definitions for prime number, odd number, even number, and composite number. She knew and recognized the terms with ease. She should further review the area formulas of common shapes: rectangles, squares, and triangles, before the test. She should also review the properties of these shapes so that she can recognize them in different circumstances. I sent the student home with a word problem packet in the previous lesson. The packet includes many problems that are similar to the quantitative reasoning questions."