This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
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Thursday, November 18, 2010
hw #4-1 Functions Are FUN!!
hw #4-1
1) Read pps 234-236
2) pg 237-239 #1-27 All
Critique the answer for #13 in the Text Book Answer Key (I don't like it)
Make ONE CHANGE to the graph to improve it!
You asked a fairly simple question, instead of a simple answer, I'm gonna give you a full lesson instead. Tell your alge-buddies that they should read this before class on Monday morning.
In a problem like #14, you are simply estimating everything and making a general graph with the axes labeled properly, but no quantities or scaling. Usually when "time" (in this case probably seconds) is involved in a problem it is the INDEPENDENT VARIABLE, graphed on the horizontal axis. (Read what the text book has to say). Time moves along at a steady independent rate regardless of how much water is in the bamboo tube. The amount of water in the tube increases and decreases DEPENDING on the passage of time, hence it is the DEPENDENT VARIABLE, graphed on the vertical axis.
An memory trick I like to use is the expression "Time is on your side"... in other words as you are graphing on paper the horizontal axis faces you (as you sit there working) and the vertical axis flows away from you. There are very few instances where you would graph time on the vertical axis. "Time marches on" (independent of anything else) no matter what else is happening.
In some two variable real life problems, it is more difficult to figure out which is the INDEPENDENT vs. DEPENDENT variable. In some problems, the two variables do not have an INDEPENDENT-DEPENDENT relationship, and it is the graphers option as to which one goes on which axis. We'll learn more as we go through the unit.... not to worry... you'll be pretty miserable before it's all over :)
Thanks for catching up on the work, Bailey. Make sure you focus on the test you're taking on Monday morning... if anything is "muddy" in the homework, we can work on it in class.
What would the quantities be in # 16?
ReplyDeleteSorry about my comment before, I meant # 14 :)
ReplyDeleteYou asked a fairly simple question, instead of a simple answer, I'm gonna give you a full lesson instead. Tell your alge-buddies that they should read this before class on Monday morning.
ReplyDeleteIn a problem like #14, you are simply estimating everything and making a general graph with the axes labeled properly, but no quantities or scaling. Usually when "time" (in this case probably seconds) is involved in a problem it is the INDEPENDENT VARIABLE, graphed on the horizontal axis. (Read what the text book has to say). Time moves along at a steady independent rate regardless of how much water is in the bamboo tube. The amount of water in the tube increases and decreases DEPENDING on the passage of time, hence it is the DEPENDENT VARIABLE, graphed on the vertical axis.
An memory trick I like to use is the expression "Time is on your side"... in other words as you are graphing on paper the horizontal axis faces you (as you sit there working) and the vertical axis flows away from you. There are very few instances where you would graph time on the vertical axis. "Time marches on" (independent of anything else) no matter what else is happening.
In some two variable real life problems, it is more difficult to figure out which is the INDEPENDENT vs. DEPENDENT variable. In some problems, the two variables do not have an INDEPENDENT-DEPENDENT relationship, and it is the graphers option as to which one goes on which axis. We'll learn more as we go through the unit.... not to worry... you'll be pretty miserable before it's all over :)
Thanks for catching up on the work, Bailey. Make sure you focus on the test you're taking on Monday morning... if anything is "muddy" in the homework, we can work on it in class.
Mr. C.
i am confused on how to draw a graph for # 16
ReplyDeleteWould that rule work for #16 but length is the independent variable?
ReplyDeleteI'm having trouble with 16 also! :(
ReplyDelete