Ms. L.
Filling Glasses
If we were to fill a glass with water at a constant rate (for example, 1 cubic inch per minute), we could graph the height of the water in the glass as time goes by.
If we were to fill a glass with water at a constant rate (for example, 1 cubic inch per minute), we could graph the height of the water in the glass as time goes by.
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.
Explain why you matched each graph with each glass. Why do you think they belong together?
Extra Credit: Describe, or draw the glass in paint, that would correspond to the leftover graph.
MATCH THE GLASSES TO THE GIVEN GRAPHS
Here are extra credit winners. They did draw the final glass correctly. Although there were many submissions, everyone seemed to forget the glass needed to come back in at the top.
MV's ex cr
Here is AL's ex cr:
Here is MW's ex cr:
42 comments:
Ly
9-5-08
Period 4
Graph 4 is B, because the glass is a little tight on the bottom and its curved. This would fill up the water a little bit fast. Once it gets the water in the glass get almost to the top, it slows down because the water is filling up in a wide open space and the glass curves out.
graph 1 is A, because the glass is tight on the bottom and small. The water would start to fill fast then slow as it get to the top. Once it almost reaches to the top the water will fill up because the glass is a little curved.
graph 3 is C, because the bottom of the glass is curved in a tight space. The glass is curved into a wide space. When the water gets to at least an inch, the water will fill up slower. At another inch the glass is curved into a tight space. The water will fill up faster. Then towards the top the glass is curved outward. This makes the water fill up slower.
I think graph 4 goes with glass B because it would go super fast at first. Also because of the shape it has. Glass 4 start out a little tight, which would make it go faster at first because of the little space it needs to fill up. After that it gets bigger and would take longer to fill up.
Graph 1 goes with glass A because the bottom of the glass is a little tighter than the top of the glass. When it goes up it starts getting a little bit wider, then a little bit below the middle it gets bigger, and on the graph you can see that is starts out a little fast, and gets slower after that, then when the glass gets a little tighter the graph shows that it gets a little faster.
Graph 3 and glass C match because of the shape they both have. The glass at the bottom is pretty wide, and on the graph it shows that it starts out slow, then when the glass gets tighter the graph starts to get faster, then at the end of the glass it gets really wide and would most likely be slow to fill up. It also shows on the graph that it ends really slow.
M.A
DV
I think that graph four matches up with glass B because it would start out going high and then would start to spread.
I also think that graph 1 should go with glass A because how it automatically starts spreading.
Last I think that graph 3 goes with glass C because of the way it would start going up fast and be spreading at the same time and then it would only start going up fast and then go back to going up and to spreading.
•IM Cup “A” goes with graph one because at the bottom of the cup it’s small and slim then gets wider then a little bit slimmer at the top.
• Cup “B” goes with graph four because it’s very slim and narrow at the bottom then gets progressively wider so it would fill up fast then get slower.
• Cup “C” goes with graph three because it gets fast then slow then fast the slow again.
IM period 4
jb
Graph 4 goes to the b glass because if you were to poor some water in the glass the water would go straight up but it would expanded with the cup
Graph 1 goes to the A glass because when you poor water in to the glass it would go up but in a curve like the cup. So then it would look just like the shape of the cup.
Graph 3 goes with C because if you look at the shape of the glass you would see that if you pored water in the cup the water would go up then it would curve then go back up like the cup.
DM
Graph 4 goes to Glass B because the smaller the neck of the glass the faster the waster rises so cup b has a small neck so it make it rise really fast, just like the graph so from my observations it looks like they go together
Graph 1 goes to Glass A because at first the neck is small but the rest is HUGE the graph starts out kind of fast but as it gets bigger the graph will show the water level will slow down
Graph 3 goes to Glass C because starts out fast and then slow again and then fast really quick.
KC
I think that graph one matches glass A, because the curve in the glass shows that the water would fill the glass fast and than slow than fast again.
Graph 4 matches will glass B, because the glass fills at a rapid rate than slows down as the curve in the glass gets wider.
Graph 3 would match with glass C because the glass is almost at a zig- zag and the graph is to. The graph shows the glass filling up fast, than slow, than fast, than slow. This in fact matches the glass!
SR
I think Cup A would match with Graph 1 because of the height and time. The line goes up a little bit and then curves a little, just like the glass.
I think Cup B would match with Graph 4 because Cup B is a straight line and on Graph B the line goes up and then straight.
I think Cup C would match with Graph 3 because it goes fast then slow, fast then slow, just like the figure of the cup.
SM
9-12-08
period 4
Graph 1 is to a, because it starts off fast. Then in the middle it curves wider and the water starts to fill up slower. Then towards the top it starts to curve in and water fills up faster.
Graph4 is to b, because it starts off fast and then gets slower because the glass keeps on cubing wider.
Graph 3 is to c, because it starts off fast and then is curves wider so it fills in slower. Then toward the middle of the glass it curves in and fills in faster. Then towards the top it curves out and fills up slower.
K.V.S
I think that glass b matches up too graph 4. I say that because of the way the glass is shaped, the height of the glass, and the way the graph is shaped. In graph 4 I see that the graph is circular, and that the person pouring the water was going very fast at first because of how steep the line is, but the person started to slow down, and since there aren’t any curves in the glass and the graph I think that glass b and glass 4 goes together.
I think that graph 3goes with glass c. Because of the shape of form of the glass and the way the graph lays out. When look at the graph you see that it has curves it it, so what I think the curves mean when you look at the graph it that the person pouring the water started off semi fast then when it came to the first curve in the glass they had too slow down the water flow and then once the part where the curve is, is filled up then they would speed up a little until the entire glass is filled.
So finally I think that glass A would go with graph 1 because as you start too fill up the circular cup the person that is pouring the water would begin to speed up and as the water started too fill the glass the water would start too expand and the person would start too slow down. Then after the person started to slow down they would speed up again to fill the rest of the glass.
V.V. 4
I think that cup A goes with graph 1, because if you look at the bottom of cup it has to start out fast but not to fast. And then it starts to slow down as the cup gets wider. In the graph it shows that the water in the cup starts out kind of fast.
For cup C I think that graph 3 goes with it. The reason I think they go together is, because if you look at the cup at the bottom you would think that the water would rise up fast, slow down, and then speed up again. The graph shows the same thing it starts out fast, and then slowed down, and the end it would seep up.
I think that B goes graph 4, because the graph shows that the water level starts out supper fast and then starts to slow down. And the cup space at the bottom is small so it should fill up fast and then the space in the cup starts to get wider so the water slows down.
GS
I would say that cup A would go to graph 1 because constant rate of the graph is going fast then gets slower and slower so cup A is small at the bottom and then gets larger at the top.
I would say that glass B would go with graph 4 because the glass is slowly going up at a constant rate and the graph goes up fast then slows down like the glass.
Glass C would go with graph 3 because the cup is big at the bottom then gets thinner and then bigger at the top just like the graph.
JR
I say that cup A would go with Graph 1 because cup A is fat and once past a certain part it gets wider and goes up just a little more and the graph goes really fast at first then goes stats to slow down gradually.
I say that cup B would go with Graph 4 because cup B is cone shaped and it always expands and is one of the widest cups at the begging it doesn’t have a lot of space so it filled quickly then it slowly risen in the center and went up more at the end.
I would say that cup C would go with Graph 3 because in the beginning the cup doesn’t have a lot of space so it goes up very fast and in the middle it doesn’t go up that fast then goes up bigger with the cup.
DM I think graph 1 goes with cup “A” because it start out small but expand and gets wider as the graph starts fast and slows down as it gets more room to cover I think cup B would go with graph 4 because it starts off semi-fast but quickly starts to expand and starts to slow down and stops going up
I believe cup c goes with graph 3 because it starts out wide gets tiner than expands
cm [[4]]
C&3 :
I matched glass c and graph 3 together because if you take a look at graph 3, it stats fast then it slows down and goes fast again. Now look at the glass , glass c, look at the height and shape. You can tell that it would fill up a lot then just a little and then a lot again.
A&1
And glass a with graph 1 because graph 1start fast and i t slows down
just like glass a because is fits a little at the beginning then a lot in the middle and that’s how it goes.
B&4
Now glass b with graph 4ecause it starts fast then it slows down and kind of stays the same but it doesn’t stop as much
SS
Cup A would match up with graph 1 because the constant rate of graph 1 is fast then gets slower and slower therefore cup A is small at the bottom then gets larger as you get to the top.
Cup B would match up with graph 4 because the graph starts out super fast then gets very slow therefore, again, the cup starts out super small at the bottom then gets very wide.
Cup c would match up with graph 3 because the inside of the cup starts out narrow therefore the graph inclines a lot the cups inside slowly grows larger, so the graph decreases its incline and then the cup slowly gets larger near top so the graph decreases its incline again.
TB
I think graph 3 goes with glass C because of the way the glass is shaped at bottom. The water would start out going in the glass a little bit slower. Then at the middle the water would go faster because the glass gets slimmer in the middle. As the water would finish pouring into the glass, it would be slower.
I think glass 1 goes with graph A because the glass starts out small so the water would pour in fast. Then the water would slow down cause the glass gets wider in the middle. Then at the top of the glass it would slow way down.
I think graph 4 goes with glass B because it starts out really fast then in the middle it would slow down drastically at the top of the glass.
I think graph 1 goes with cup a because it goes slow than fast and than slow.
I believe cup b goes with graph 4 because it just goes fast the hole way.
I think Cup c goes with graph 3 because it goes fast then it kind of slows down but not really slow.
SH
KB pd .4
I think that graph 1 matches glass A because the glass starts small than gets bigger than smaller again .
I think that graph 4 matches glass B because the glass has diagonal sides.
I think that graph 3 matches glass C because the glass has curved sides.
I think that graph 1 matches cup A,
Graph 1 is a pretty small cup but it is a pretty deep cup, the height of the water would not be so high, but if I tested this, I would have to wait a very long time. Graph 1 has the smallest height, it kind of seems that the time would be lengthy; cup A would have a small water height,
I would guess that graph 3 matches cup C,
The height of water would match the cups figure because it curves into the cup, and the graph curves in the same shape as the cup. The time also makes a lot of sense to match this graph because it wouldn’t take loads of time to fill up a cup in a small space, the graph does the same.
Graph 4 matches cup B,
The cup is large, the time is long, the height of water is going to be large, enough said. A large amount time would conclude in a large amount of water.
E.M.
I think that glass B goes with the 4th graph since the glass has straight lines and the graphs lines are straight as well.
I think that the 1st graph goes with glass A since the graph it makes a sort of circular turn to form a half circle.
The final graph 3 it has to go with glass C since sort of like graph 1 but with more wiggles in it
Z.G.
mw
C is 3: The water rate in the glass goes fast, slow, fast, slow
B is 4: the water rate goes up fast then goes slower because there is more room
A is 1: the water rate goes up fast then slows down then gets fast at the end
cfl p5
Glass c would probly go with graph 3, becase its waving.
Glass a would go with graph 1, because it starts out strait and then waves.
Glass b goes with graph 4 because it starts out strait then it curves.
Math
Graph #1 would be glass A because it is a smaller glass and it would fill up the fastest. Graph#3 would B because it would be filled up the second fastest because it’s a little smaller than the other glass. Graph#2 would be glass
C, because it would be the last glass to fill up quickly. Because it is bigger and steeper.
AA
A.L. period 5
Graph 4, letter b because the water fills up fast at first then slow at the end.
Graph 3, letter c because the water fills up fast, then slows down, then fills up fast again then slow at the end.
Graph 1, letter a because the water fills up fast slow then fast at the end
My hypothesis is that graph 1 goes with glass "A"..Because the glass would make an impact on the way
water and the height, so having that said, the graph gives information saying how much is in the
the glass and scince the glass is in a certian design the water would take differnt amounts to
to fill the glass.. Scince the glass is shaped like that it just makes scence..
My htpothesis is that graph 4 goes with glass "B".. Because it starts at the bottom and does
a flat surface All the way through with an indent slowly turning witch make me infer
that that graph and the glass are the same..
My hypothesis is that graph 3 goes with graph "C".. because the glass has the most wave
design and as I look at the graph and it looks to me that that graphs fits the glass..
_C.V_
Mp
Period5
My hypothesis is that letter B matches with graph 4 because they look very similar than the others do.
My guess is that letter A goes with graph 1 because they look the same on the sides it’s similar.
Graph 2 goes with letter C because they look the same on the edges & curves.
My hypothesis is that graph 1 goes with glass "A"..Because the glass would make an impact on the way
water and the height, so having that said, the graph gives information saying how much is in the
the glass and scince the glass is in a certian design the water would take differnt amounts to
to fill the glass.. Scince the glass is shaped like that it just makes scence..
My htpothesis is that graph 4 goes with glass "B".. Because it starts at the bottom and does
a flat surface All the way through with an indent slowly turning witch make me infer
that that graph and the glass are the same..
My hypothesis is that graph 3 goes with graph "C".. because the glass has the most wave
design and as I look at the graph and it looks to me that that graphs fits the glass..
_C.V_
Graph #1 would be glass A because it is a smaller glass and it would fill up the fastest.
Graph#3 would C because it would be filled up the second fastest because it’s a little smaller than the other glass.
Graph#4 would be glass
B because it would be the last glass to fill up quickly. Because its bigger and steeper so it would fill up slower.
AA
I think that glass A and graph 1 correspond to each other the best. If you were to fill up glass A with water, the flow of the water pouring into the glass would be fast then starts to slow down, then speeds up a little more. Graph 1 goes up fast, and then slows down a bit, then speeds back up just like glass a does. Glass B and graph 4 match because if you pour water in to glass B, the water is poured at a fast rate and its pace begins to slow down then just like graph a, starts to speed up a bit at the opening. Graph 4 shows the pace speed up, slow down, and then speed back up. Glass C and graph 3 are similar. Glass C would be filled with water right away then start to be filled slowly, and once again start to fill up faster. In the graph, like every other answer, the shape of the line on the graph started fast and slowed down then fast again.
LM
Period 5
MV:
I think that Graph 3 is going to go with the glass C because if you look at the shape of the glass and then you carefully look at the edges, and then you look at the Outline of the graph they can match. Because it has pattern where its first going fast then slow then fast and then slow.
And I think that Graph 4 goes with B because if you look at the edges that are drawn on the Graph they look like the edges from the glass A so as your filling up the cup is should go in the shape of the glass. Because at the Beginning it should go super fast because from the bottom the cup has a small length so that should go fast and at the top of the cup it has a long length so then it would take slow to fill it up.
And I think that Graph 1 would go with the glass A, its not exactly the same shape but its familiar. Plus when your filling it with water, you can see that it starts by out a kinda fast but then from the middle and on, it starts getting really slow and it doesn’t make progress fast because it’s a really deep cup.
W.L.W.
Glass A matches with graph one because the height of the water level starts out filling up fast then slows down because the glass turns outward to slow down the water level height then speeds back up because he glass turns inward.
Glass B matches graph four since the glass spread outward so the water level height per second gradually becomes smaller until the glass is full.
Glass C matches glass two because the water level fills up fast at first then slows down then speeds up again then slows down and gradually speeds up because the glass is like a squiggly line and it changes from filling up fast and slow.
I think that glass C matches graph 3 because at the bottom of the glass it is small and takes lesser amount of time to fill with water and then becomes wider, which takes longer to fill up, and then gets narrow again. So then you would look at graph 3 and the line would match my explanation of glass C. I think that glass B matches graph 4 because the shape of glass B would first take a short amount of time to fill up but as the glass gets taller it takes a longer amount of time to fill up. And when you look at graph 4 you can see that as time progresses it starts to decrease. Glass A matches graph 1 because if you were to fill it up with water it would go fast then start to slow down then speed up again, as it shows the same in graph 1.
C.C.
A.G
Math
Graph #1 would be A, because it is a medium glass and it will fill up the glass a little faster.
Graph #3 would be glass C, because it is a larger glass and it will fill up the large glass slower.
Graph #2 would have no glass.
Graph #4 B, would be glass, because it is a smaller glass and it will fill up the small glass faster.
M.J.W
Period-5
A: GRAPH 4- because the form and the shape are similar to the graph. It’s not like the other figures in the problem
C: GRAPH 1-because if you rotate the line on the graph the other way then it would match the shape on the figure of the drink
B: GRAPH 2- because it looks like it fits the picture.
c.c. I think that glass C matches graph 3 because at the bottom of the glass it is small and takes lesser amount of time to fill with water and then becomes wider, which takes longer to fill up, and then gets narrow again. So then you would look at graph 3 and the line would match my explanation of glass C. I think that glass B matches graph 4 because the shape of glass B would first take a short amount of time to fill up but as the glass gets taller it takes a longer amount of time to fill up. And when you look at graph 4 you can see that as time progresses it starts to decrease. Glass A matches graph 1 because if you were to fill it up with water it would go fast then start to slow down then speed up again, as it shows the same in graph 1.
C.C.
HM period 5
A= Graph 1 because it goes fast then slow.
B= Graph 4 because it fast the slow then really slow just like it shows on the graph.
C= Graph 3 because it goes fast then slow then fast then slow.
DE
Cup A goes with Graph 1 because the water height starts out fast and then gradually get slower and then the cup goes faster if you put water in it.
Cup B goes with Graph 4 because the cup if you put water in it, it would start off slow and than increases at a steady rate until the end.
Cup 3 goes with Graph 3 because if you put water in it it would start off fast and then slow again and then fast.
S.s. period 4 First, the lollipops cost twenty-five cents more than a chocolate bar. One chocolate cost 1.18 and a lollipop cost 1.43, how I came up with this answer is because if you take 9.50 divided by two that brings you down to one chocolate bar and one lollipop so if you divide by two again you get the cost of the chocolate and three lollipop and one chocolate bar is 9.75 that says that a lollipop cost 0.25 more than a lollipop.
One chocolate bar is about-3.59
Lollipop is about-2.05
NOT DONE
my strategy is to get one block above the one i want to move into place, then i just do that all the way to 15. SS
My strategy
My strategy was to keep moving the blocks around to get to one of the correct numbers. I moved the boxes around and my strategy worked
AA
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