The following are the Algebra 2A students' reviews of Chapter 2.

E.W. writes:
In chapter two i learned many things dealing with many different kinds of variations. I learned what a direct variation is, and what an inverse variation. I also learned the fundamental theorem of variation. Then i learned how to graph y=kx, k being the constant.after that i learned how to graph y=kx(squared).Then i learned how to graph y= k over x, and y= k over x(squared).We then proceeded to learn how to fit a model to Data 1, and eventually into data 2. Then came one of the easier parts, combined and joint variation. I found this chapter to be rather easy. Yet some parts of it were hard to understand, but now I understand all of it!

M.B. writes:
chapter two was kind of fun and exciting...sort of. we learned about joint variations, combined variations, how to figure out the maximum weight as a function of thickness, fitting a model to data II, all kinds of graphs and how to recognize them, fitting a model to data I, about mathematical models, data I such as pressure vs. volume and practical stuff like using it to determine pressure vs. depth when you are scuba diving, how to graph the variations, the graph of y=kx2, y=kx such as time vs. distanced, how to determine the slope of a line, the fundamental theory of variatiion, inverse variations, and direct variations.

D.U. writes:
Chapter 2 taught us how to represent algebraic equations of the k-x-y formats into visual graphs. We were taught how to distinguish parabolas from hyperbolas and "volcanoes" just by looking at an equation. Furthermore, we were taught to solve everyday problems using these formats, a helpful task which might help us in the near future and of course build on the things we learned in chapter 1 and the things we will learn in Chapter 3.

S.B. writes:
Chapter two discussed two types of functions, direct variation and inverse variation. The equations y=kx and y=kx^2 are formulas for direct variation, and y=k/x and y=k/x^2 are inverse variation formulas. In either of these variations, when x is multiplied by a constant, the results are predicted by The Fundamental Theorem Of Variation. The rate of change is the differences in y over the differences in x. Variation equations may use three variables. When all 3 are multiplied a joint variation occurs. Chapter two was interesting.

A.M.writes:
Chapter 2 was a very interesting chapter. It began with the discussion of Direct and Inverse Variation functions. It went on to the Fundamental of Variation thereom. The chapter continued by the introduction of the graph of y=mx+b. In chapter 2 we also learned about the graphs of y=k/x and y=k/x2 which were hyperbolas. The chapter went on to teach how to fit a model to Data I and Data II. We also did work with Combined and Joint variation. I found Chpater 2 very interesting.

N.G. writes:
In this chapter we learned about direct and inverse variation functions, with equations y=kx^n and y=k/x^n. We also learned about the fundamental theorem of variation, and graphing y=kx, y=kx^2, and y=k/x. We learned about the different shapes of graphs and how to determine them from looking at an equation, as well as how to fit data into models and about combined and joint variation.

E.B. writes:
Chapter two was about variations and their graphs. there are many difeerent functions such as direct-variation function and inverse- variation function. Both of these function introduced us to the constant variable k. There were two variation theorems. The fundamental variation function and its converse. These theorms explain what happens to x in relation to y and y in relation to x. Also different equations and there graphs were introduced. Some of the graphs were parabola, volcane and hyperbola. Each of these graphs has a differenty equation. Another aspect of this chapter was fitting a model to date. Combined and joint variations was also an aspect of the chapter.