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For Number 7 the drawings are missing. If drawings are not needed context is great too.

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7 and 14 needs to include a picture and elaborate more on their interpretation of the answer. Though the work was very well organized and easy to follow their line of reasoning.

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#4: You should interpret your answer to the problem because that number can mean anything.
#5: I really like the drawings and it showed how the numbers and rates apply to the problem.
#14: The interpretation should be in a complete sentence especially if it's in a word problem.

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I like 12's last sentence but that diagram look like an ice cream can you please label next time tho

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7 & 14) A diagram with labels would be helpful in understanding the problem.
10) The diagram is nice, but labels would have been helpful.
1) The solution is very easy to follow and the interpretation is easy to understand.

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Number 3:  the interpretation says the rate is decreasing at a negative rate, this is contradicting
Number 16: The rate is increasing by 2.308ft/sec not at 2.308ft/sec.

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3. When saying in the answer that it is decreasing, do not still include the negative in the numerical value

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For 4 and 17, while the actual math was solid and made complete sense, I think a final sentence of interpretation would've been useful for the readers to understand what you are trying to find.

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#16/5 : I like how the important aspects of your drawing are bolded, showing exactly what values you used.

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The drawings are too small. Please put more effort into visuals

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#1 and #20 show the work clearly and they have good interpretations,  although the visuals could have been a bit larger.
#2 and #19 are spot on, and everything is clearly indicated.
#3 and #18 have very nice drawings, and the work is easy to follow.

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Number 1: very nice interpretation. I can clearly identify what you were looking for.

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7. Include a picture
14. Include a picture

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#8 : The writing is a bit small

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I liked the final sentence of interpretation for both #2 and #19. It certainly would help if everyone else did that (my group included).

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For 8 and 13 The models are very well drawn and work is clear to follow

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For problem number 16, the interpretation is not clear. Please include a clear enough interpretation so that I can accurately describe what you are looking for.

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Please include an interpretation

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Number 1 has a nice drawing, is very organized, and the math is easy to follow. The answer was delivered in an AP manner, which I like.  Number 7 needs a picture and an explanation of the answer in terms of the problem in order to get full AP credit. Number 10 has very organized structure. All 6 steps to solve a related rates problem are present and easy to read.

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#4, #17 and #7 should add an explanation to their work, you will not get the point on the AP exam if you do not explain your answer.

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#4 great work, but maybe next time identify what you are trying to find because I had to go through the problem and read the answer to try to see what you are solving for.
#10 label diagram so it can make the work clear and help the reader understand what you are doing
#13

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8. put cleary what is given and what needs to be found, but really nice and clear drawings

13. write a little bigger.

1. draw larger pictures.

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#3 the answer should not be "decreasing at a negative rate," but rather just "decreasing at the positive value"

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#4/7 : Maybe next time, a sentence could be written to interpret and explain the answer as it relates to the problem.

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for # 17, you did not put the interprertation of the answer
for # 7, what is the problem, where is the drawing? interpretation is not there
for # 10, the set up and the interpretation is nice and it helps illustrate what is going on in the problem

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For number 7, a picture would be greatly appreciated. Same goes with number 14. Since we don't have the problems, we can't have the answers.

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For 8 and 13 the drawing and organization is very nice.

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What is happening for 7 and 14?
If you do not put a picture, at least give some context. ;)

For number 8, thank for the clear and neat pictures, it makes complete sense as to what is happening.

For number 4 and 17, you forgot to put the interpretations. These are necessary to close up the problem with the meaning as to what is happening, especially if you do not give the problem or background context.

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Nice work, everything is very organized.

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For 7 and 14, a picture or setup would be helpful in solving the problem.
19 and 2 are organized really nicely. Your explanations are very clear and your drawings are nice.

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#7 add a picture to make it show that you can see the set up.

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For problem 7 and 14, the interpretations of the results should be out in complete sentences

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For problem 7 and 14, the interpretations of the results should be out in complete sentences

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Uyen Nguyen

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For 7 and 14 there are drawings missing

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Austin Hong Problem number 14: please include a visual.

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Austin Hong Problem number 14: please include a visual.

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It would be helpful to put a drawing

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The final statement is not written very clearly. It should discuss what component of the system is decreasing rather than just sating "decreasing at ....".

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#10, pic should show the water leaving, not just shape to make it clearer what is happening.

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Problem #8 You may want to consider writing a little bit bigger :)

Problem #10 The units are kind of mushed together when solving the problem. Try to create some space so the units are noticeable

Problem #17 *Put the explanation

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For number 18, how do you know the change in volume is 0. Was that given int he problem?

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For number 18, how do you know the change in volume is 0. Was that given int he problem?

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Uyen Nguyen

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#7: Interpret your solution
#1: It would be nice if you made the picture larger.
#5 You're picture was very helpful and specific

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For 3, it should be decreasing at a positive rate, in the interpretation

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On number three they put that is was decreasing at a negative rate. It was just supposed to be decreasing at whatever the number was.

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#3 They said decreasing while made the answer negative as well.
#8 has great organization, but the drawings, unlike what others have claimed, was confusing at first as the drawing of the boat was large and distracted me from the much smaller triangle that was the actual problem.
#7 & 14 was poorly organized in #7 and I cannot interpret what you are trying to solve for and what the situation could be easily.

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Problem # 10
- It could be beneficial if the radius and height in the drawing of the cone were labeled
Problem # 7
- The steps to find the solution were very clear, but it would have been helpful to have a picture.
Problem # 5
-  The picture of the hot air balloon was amazing, which makes it easier to identify what is going on.

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#3 What is the thing that looks like a mug handle to the right of the cone.
#7 No pictures.
#14 No pictures.

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3. It's kind of interpreted wrong because the rate is positive when it's decreasing.

8. Very aesthetic setup and convenient alignment

7. Very nice and readable. Thank you for keeping it simple and not writing too much in the answer. Makes it easier for us the reader to follow along with your workflow. I also appreciate the lack of visuals as well since it reduces strain on the eyes. Since it's such a simple and easy problem, visuals are not necessary to solve it. It makes me conjure up a mental picture in my head. However, one may argue that the focus of this assignment is on content not aesthetics. That is true, but the neatness of  the work does not take away from the actual content in this case. Some may prefer the work to be more elegant and complex, but keeping things minimalist is sometimes the better approach. I believe it was in this case. Overall, good job thank you :) Your writing is also nice and dark so that adds points to the overall feel of it. Props to the person who wrote down all the numbers and letters. You have very neat writing. Even more extra points for organizing it so well. I could clearly follow your thoughts throughout the entire process. It's almost as if we shared the same mind. This problem puts me in the moment and pokes at my imagination. This problem goes much deeper than an ordinary problem and I understand that. In the end, it just looks like every other problem. Let me now take this time to explain the perceived flaws in this problem:
1. No picture

2. Too much extra space

3. Your d's look like p's

4. Too much of a focus on the dy/dt instead of the other one.

Not too shabby, but not perfect either.

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3. When writing that the rate decreases, it's unnecessary to include the negative sign in your answer. It's contradictory.
7. You should include a drawing
5. Your hot air balloon drawing is very nice. I would ride that hot air balloon. (:

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#3 Your interpretation of the cone and its portrayal accurately describes the problem.

#7  You should label in units what the radius is, otherwise you would be docked off points.

#16 I appreciate that you labeled what each leg of the triangle is along with its corresponding rates.

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Number 4, you should write the problem or context.
Number 10, you should label the features on the diagram.

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For problem 3, the interpretation is incorrect. It should be the height is decreasing at a positive number.

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Problem #10 You did not state the information given such as what the height was which is very helpful in understanding the problem.
Problem #17 You should give an explanation/interpretation of answer.
Problem #7 You should include a picture for visual understanding and there are no units on your answer.

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10: when labeling your units, create a clear distinction between the meters and the minutes
18: The drawing should be labeled for the reader to understand which letter corresponds with which specific side
7: where are your units

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#10: with the drawing, show what is happening  (the fact that water is  draining out) and not just the shape.
#14: Add what the problem is or draw a picture so that you can tell what the you are trying to find.
#16: The explanation states that the rate itself is increasing instead of stating that the length of the string is increasing at a certain rate.

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Problem number 8: The visual is very nice but the writing of the work is a bit hard to read and is written very small. However, I really like the way the finally statement was worded.
Problem number 7;
A drawing should be included in order to remove any confusion. The writing is neat and dark but it is hard to understand what was being analyzed without a picture. A finally statement analyzing the importance of your answer is also missing.
Problem number 4:
The picture is nice and the work is very dark and easy to read. However, a final summarizing statement should've also been included at the end

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3. The interpretation should state that it decreases and then have the answer written without the negative sign, not both. With how it was written, its contradictory. However, the drawing makes it easy to visualize.
4. Did not include a interpretation of the answer; it should be that the shadow length is decreasing at a rate of 1m/3s
10. It would have been visually helpful to see the radius and depth of the cone labeled in the drawing.