Suppose we fill the three glasses below in such a manner. Match up each glass with the graph that best describes the height of the water in the glass over time. Justify your answer using key features of the glass and the graph.
Describe the glass (or create one in paint,) that would correspond to the leftover graph. (Be sure to save your picture as a JPEG and e-mail to Ms. Leckman at mathclasshonors@yahoo.com)
Here is some student work:
9 comments:
1.I figured out that glass a goes with graph 1. I think that glass c goes with graph a , because if you look at the graph the glass has a big spot at the bottom. That’s the raise in line on the graph.
2.Glass c goes with graph 2. Glass c goes with that graph because on the graph 2 has the water going up the a slight way up then back up and the glass goes wide then skinny, then wide.
3.Glass b goes with graph 4. Glass b goes with graph 4 because the amount of water is low, because the beginning of the glass is small. Then the glass b then goes wider so the amount goes higher then it gets the same amount, because then it stays the same.
BV and MV
1. Glass A. matches graph 1.
2. Glass B. matches graph 4.
3. Glass C. matches graph 3.
4. The way we got the answer is by matching the glasses with the graph. For example, glass B. goes with graph 4. Because both of them have straight lines. The glass is straight, so is the graph.
TD RT
We think that glass A should be paired with graph one because, the glass doesn’t have any features to it and it looks like it could hold very little. Also because the graph just goes up very slowly so glass A must be paired with graph 1. We think that glass b should be paired with graph four because glass B looks as if it could hold more than glass a so it can’t be with graph 1. but we also noticed that it didn’t have many features just like glass a. however glass b is taller so it must hold more than glass a so the graph should look just like as graph only with a higher total amount of water held. Glass c must be paired with graph 2 because glass c has some strange features to it. At the bottom its wide so it must fill up slow. Then it gets skinny so it should take less time to fill. Then it got wide again so the graph must go slow then really fast then it will go normal again then it will slowly start to go up again, therefore they must go together. Our glass m must be matched with graph 3 because it first fills up fast so it must be skinny first then it takes longer so it must get fatter and then it must get skinny again because it fills fast again.
MJS
1. The minimum number of jumps are 15 jump .I did the game and that’s what I got.
2. You will start with the brown frog and ended with the brown frog. I mean the brown frog has the first and last move.
MG & EAW
9/04/09
P6
Wine Glass
Glass A would go with graph 4 because at first its skinny and going fast, then it gets wide and the time evens out and that is how the graph looks. I think that graph B would go with graph 1 because it is skinny and it just gets wider and wider and slower and slower and that’s how the graph looks. Glass C would go with graph 3 because at first it is wide and slow, then it gets skinny and fast, then it gets wide and slow again, and that’s how the graph looks.
MJS
1. I figured out that glass a goes with graph 1. I think that glass a goes with graph 1 , because if you look at the graph the glass has a big space in the bottom. That’s the raise in line on the graph. Since the bottoms bigger, the amount of water is going to be high.
2. Glass c goes with graph 2. Glass c goes with that graph because on the graph 2 has the water going up the slight way up then back up and the glass goes wide then skinny, then wide.
3. Glass b goes with graph 4. Glass b goes with graph 4 because the amount of water is low, because the beginning of the glass is small. Then the glass b then goes wider so the amount goes higher then it gets the same amount, because then it stays the same.
J.M.
1. The first graph belongs to glass A. Glass A goes with graph A because it is a fat glass and it goes up a little then at the top it narrows out and goes up a little bit more. The graph is like this too the line goes up a little then when it gets to the top it goes up more. The water goes up a little the whole time in this glass because it is a fatter glass.
2. Glass B goes with graph 4, because it is narrow and goes up a lot and the gets fatter and evens out. The graph is exactly like this it goes up then gets flat. The water goes up more at the beginning and because the glass gets fatter the water dons’t rise as rapidly.
3. Glass C goes with graph 2 because it is fat at the bottom then is really thin so the water goes up faster then the glass gets fat again. This is a funky graph that goes up steadily then goes up rapidly then goes up steadily again. The water raises steadily then the glass gets thin and the water rises rapidly then the glass gets fat again and the water rises steadily again.
BT
For glass A, I chose graph 1, because the graph shows that the glass would start of by filling up fast, then filling up slow, then filling up a little faster, then stopping. The glass would start off by filling up fast, because the bottom of the glass is thinner than the rest of it. This glass starts off thin on the bottom, and then starts to get larger which would make it fill up slower, and then when it was almost to the top, it would start to fill a little bit faster. For glass B, I chose graph 4, because the graph shows that the glass would start off by filling up filling up slowly for the rest of the glass. that would happen because the glass starts off small and then gets bigger.
TM
I believe that graph 4 goes with glass b. I believe this because glass a steadily gets bigger, never smaller, so the line wouldn’t change other than going pretty steadily up. I believe that graph 1 goes with glass a. I believe this because the glass goes steadily up and then curves back so it would begin moving steadily upward but then slightly leveling out. I believe that glass c goes with graph 3. I believe this because in the beginning the glass goes upward, but then curves back on it self, which this graph shows. To describe what the glass of graph 2 would look like I would say that it would look similar to graph a, but with steadier curves and the glass would be slightly bigger.
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