pg 249-251
#1-25 Odd
Please do not OVERCOMPLICATE the thinking on the independent vs. dependent variable questions.
In a classic ordered pair of (x,y) x is the INPUT (a.k.a the INDEPENDENT variable) and y is the OUTPUT (a.k.a. the DEPENDENT variable). The value assigned to y DEPENDS upon the value input for x. Allow yourself to struggle with the questions a bit and ask questions on the blog.
Can you possibly post a video on input and output values; FUNCTIONS equation test to tell whether or not it's a function?? I was a in A. S.O.C today ( I think this could really catch on!) and a video makes it easier to understand since I can press repeat 100 times until I get it! Thanks again!
ReplyDeletei get it!!! thats why we can only have one x value, no repeats, but we can have multiple y values!!! it makes sense kinda but i get it
ReplyDeleteso just to make sure. is a linear line completely verticle, or is it diagonal. im not to sure on it.
ReplyDeleteHow do you find the rule for the volume of the tubes for question 19 on pg 251??
ReplyDeleteI'm also having trouble on #19.
ReplyDeleteWe are going to go over #19 in class... one thing you need to recognize in that question is that there are multiple units of measure for length measurement (i.e. feet and inches). When you use a formula, you need to settle on one unit of measure (aka UOM) or another. In this question, the "# of bags needed" is the big question, and that seems to be measured in cubic feet, so you should convert 4 inches to 1/3 ft, or 5 inches to 5/12 foot, etc..
ReplyDeleteWE WILL GO OVER THIS ONE TOP TO BOTTOM IN CLASS!!! Any other questions??
The "Anonymous" Mr. C.
Re-read your definitions. Write them down ONE MORE TIME, draw a picture next to your definition. PLEASE TRUST ME, the more you write it, the more likely you are to learn it.
ReplyDeleteA RELATION is ANY set of ordered pairs. Note that a given relation may OR may not be a function.
A FUNCTION is a relation (aka relationship) that pairs each input value (independent variable) with EXACTLY ONE output value (dependent variable).
A LINEAR FUNCTION is a function (duh!) whose graph is a straight NONVERTICAL line.
A NONLINEAR FUNCTION is a function (duh!) whose graph is not a straight line.
Good idea, Candace, but it will have to wait until the weekend... your QUIZ isn't until Wednesday!
ReplyDeleteI dont really get the whole concept of everything. I just get that the graph either makes a straight line (linear or doesnt (nonlinear). I dont get where it leads to! I never do! I stink at making math connections...
ReplyDelete-Ethan C
PS HELPPP! Can someone explain to me where this thing is going?
I'm struggling on how to find the dependent and independent variables anyone know?
ReplyDeletePatience, my dear Ethan, patience. You are asking too much of yourself. Your struggle is shared by algebra students the world over (and at FMS, too!).
ReplyDeleteHere is what I want you to "get" at this point:
1) Mathematical relationships can be expressed in tables, equations, and graphs (OH MY!) and sometimes (many times) all three, just like the tiling garden beds problem. Depending on the question asked, sometimes one of the three representations makes more sense than another... ALL CAN WORK, however.
2) Linear functions are very evident in a graph (you can see the straight line), however with a little training, we can begin to see evidence of linear relationships in tables (the rate of change is constant) and equations (the x and y are not raised to a power). Notice that I say "begin to see"... I am not expecting you to be an expert just yet.
3) Nonlinear relationships are also very evident in a graph, however are more difficult to recognize specifically in tables and equations. I am NOT expecting you to be a master in this area. You should recognize that absolute value equations produce V-shaped graphs (and upside-down V's) and that equations like y=x^2 produces U-shaped graphs (or upside-down U's)... that's about it.
In the next unit, we will be doing MUCH MORE with real-life examples (the class will start complaining about "word problems"... I can hear the whining already) and hopefully that will help you make connections.
Thanks for articulating your struggle... I think there are many "heads" in our class nodding in agreement as they read your post.
The independent is the 'x' or input variable. The dependent is the 'y' or the output. 'y' is a function of 'x'.
ReplyDeleteFor example:
Cost (dependent) is a function of Quantity (independent)... how much you pay depends on how much you buy.
You have to figure out dependent/independent based on the wording/context of the problem. It gets easier over time... I am not expecting you to be an expert all at once.
Another example:
Understanding (dependent) increases as time spent on studying (independent) increases.
Getsk it?? Good!