Another
great function of this blog is that it contains our wonderful
Intermediate calendar (look to the right). Please use this as another way to track
dates and deadlines, and also to keep your parents in-the-loop about
your school.
The
most important requirement of this blog is YOUR participation. This may come in the form of:
- sharing your POTW answer
- posting your comments, questions, and replies to others
- seeking out the answers to POTWs (answers are posted a week after the question has been posted)
- reading and following new posts
With that being said, it is absolutely pivotal that you remind yourself about online netiquette. You must always consider the feelings of others when posting comments. Before you press 'submit' or 'send' or 'publish' please ask yourself two questions: "Would I say this to someone's face?" and "Is my comment helpful in any way?" If the answer to either of those questions is "No" then consider revising your comment.
- sharing your POTW answer
- posting your comments, questions, and replies to others
- seeking out the answers to POTWs (answers are posted a week after the question has been posted)
- reading and following new posts
With that being said, it is absolutely pivotal that you remind yourself about online netiquette. You must always consider the feelings of others when posting comments. Before you press 'submit' or 'send' or 'publish' please ask yourself two questions: "Would I say this to someone's face?" and "Is my comment helpful in any way?" If the answer to either of those questions is "No" then consider revising your comment.
Without further ado, below is your first POTW for
the year! Please submit any and all responses regardless if you think
someone else has the same answer. You can always show your work in
different ways! And be sure to comment on other students' work, provide
feedback, and ask clarifying questions. Always remember to be signed-in to your gapps account before submitting a response.
(Thanks to the NRICH site and Byrony Black for the awesome inquiry problem)
Let's all see if we can do this challenge.
ReplyDeleteTest
ReplyDeleteDoes it work
ReplyDeleteGreat Damian! The test worked!
DeleteThis is a test.
ReplyDeletetest2
ReplyDeletetest 1
ReplyDeletetest
ReplyDeleteDoes anybody know exactly what triangle she is talking about? The smallest one in the very center or the meadium sized one?
ReplyDeleteWell, I`m still not exactly sure what triangle the question was reffering to, but I beleive the fraction of the smallest triangle is 1/512 and the fraction of the medium sized triangle is 1/128
ReplyDeleteHi Anna, she points to the small shaded triangle. That's the one. Try to full screen the video or check the resolution. But I have to agree, it can be a little tricky to see.
ReplyDeleteThank You!
ReplyDeleteMy answer is: 1/128 is the fraction
ReplyDeleteAfter making the origami i unraveled it stared at it for a while looking at the fold marks. I pin pointed the fold that created triangle, made some drawings and realized that one fourth of the paper has 32 of these triangles. Since 32x4=128, it means that this triangle is 1/128
how i solved it, I got 1/160, i dont know if this is right or not but i have no other way of solving.
ReplyDeleteI think that that shaded triangle is 1/128 of the original large square
ReplyDeleteI'm pretty sure that the small shaded triangle is 1/128 of the full sized original square
ReplyDeleteI found the answer out by folding the paper into a origami flower as shown and then by unfolding the entire paper and splitting the paper into smaller squares. I found small triangles on the sides, which I then figured out where 1/2 of a small square, so I counted two of the triangles as 1 square. I then cut out the small shaded piece, and found that 18 of these small triangles fit into a small square in the large square of paper. Knowing that there are 32 of these "small" squares, I multiplyed 32 x 18 to get 576. This mean that the small shaded triangle was 1/576 of the large square piece of paper. So overall, my answer is the small shaded triangle is 1/576 of the large piece of square paper.
ReplyDeleteGreat math question!
I agree with Anna. The smallest triangle is 1/512of the original square.
ReplyDeleteIt's 1/512. I did this reopening the project after making it. I realized that there were 16 equal squares, so I decided to find the number of triangles in 1 square which was 32.
ReplyDeleteSo I did 32x16=512
=1/512
I think the fraction of the smallest triangle out of the large square is 1/256. However, I wan't very sure which triangle to pick as it wasn't very clear in the video so I might be wrong
ReplyDeleteThe small triangle is 1/512 of the full sheet of paper.
ReplyDeleteAs far as I can tell, the triangle is 1/128 of the square, but it was very hard to tell what triangle was shaded (even in a higher resolution).
ReplyDeleteI also looked ahead at some of the other POTW's and the one with lines and slopes was really interesting, very similar to what I'm learning in my extracurricular math class. Do you happen to know whether or not there will be anything similar this year in math? I really enjoy trigonometry and linear functions in math.
ReplyDeleteThat's actually "looking behind" because those are posted from last year. Linear functions and trig are most definitely NOT elementary curriculum. However, some contests and POTWs this year MAY have some aspects or questions like that. I do kind of doubt it though Jessica. But feel free to share questions or things you find interesting in math (either share in class or in google groups, or both!)
DeleteWell, that was something I was looking forward to. I guess I can live without it though. Do you happen to know what grade linears and trig get introduced? Just wondering.
DeleteNot exactly sure but early high school I presume. You should go back and try answering the previous POTWs if you're interested as well.
DeleteI think the answer is 1/512, but I'm not sure. I never did this before so I just divided and did other stuff in what I thought was a logical way.
ReplyDeleteUm the video won't show up on my screen what should I do?
ReplyDeleteYou need to try another internet browser. Some examples are Safari, Firefox, Chrome, Explorer.
Deletemy mom's laptop is a dell latitude E6400 i don't know if this affects my problem
DeleteTo solve, I folded and made the flower and shaded the triangle (at least the triangle I thought she was talking about) and the unfolded and found out how many of those triangles were in the paper (through multiplication).
ReplyDeleteBut as far as I can tell, the shaded triangle may have been only half of the one which I thought it was, so the solution is either 1/128 or 1/512. Depends on which triangle is the shaded one.
for vivian
ReplyDeleteget flash player
I agree. Especially if working on a mobile device, flash player is pretty often needed to play videos on a browser
DeleteCan't not allow to download stuff on my mom's laptop otherwise i won't be able to use it anymore
Deletethe triangle is 1 out of 512/128 (it is HARD to SEE!)but most likely 1/512 since it looks darker but i seriously can't tell
ReplyDeleteDamian, remember we talked in class about not using your last name here. Please alter your username.
DeleteI got 1/512
ReplyDeleteI got 1/128 by folding the flower and then unfolding the paper and using the creases to figure out what fraction of the paper the triangle took up.
ReplyDeleteThis isn't really related to the POTW, but it is math related. I'm doing a test at Kumon (extracurricular math class) tomorrow, and I'm worried about remembering a bunch of formulas (stuff for circumcenter, center of gravity, orthocenter, etc.). Anyone got tips on remembering those kind of formulas? Seyone, i know you passed the test a while ago, know anything that could help me out a bit?
ReplyDeleteI would post this query on the HWB Jessica.
Delete1 out of 512
ReplyDeleteWho is this user?
Delete1/512 is the answer I got
ReplyDeleteWho is this user?
Deletei think thats william. if you click on the thing thats says unknown it says his name
DeleteThanks Rita.
DeleteI believe the smallest triangle counts for 1/256 of the piece of paper. I got this answer by recording what the fraction was for each triangle staring with the largest that counted for 1/8 recording what the rest counted for.
ReplyDeletedue to the picture of one side sent by Renee to me I counted 46 triangles in total FROM THE PARTS VISIBLE IN RENEE'S PICTURES
ReplyDeleteI'm sure there is more than that but that is my minimum (1/46 minimum)
Vivian, have you considered looking for the video on YouTube? If it's there you might be able to watch it there rather than in this browser
DeleteThe answer I got was 1/144.
ReplyDeleteI think small triangle is 1/512 i found out by looking at the paper after i folded it, after the 2nd fold you make 16 squares and in each of those 16 squares 32 small triangles fit inside, and since there are 16 squares you have to multiply 32 by 16 to get the total for the hole paper which was 512.
ReplyDeleteI think that the answer is 1/512 but i'm not sure
ReplyDeleteI'm not sure but my technique was to unfold the flower then figure out the answer. I saw that it a 4 by 4 grid of large squares. Inside those squares were four smaller triangles. For each triangle I figured out how many of those very small triangles could into that trinagle. I ended up with 9 in each triangle. Since there was 9 for all four triangles in one of those squares I I had to multiply 9 x 4 which equaled 36. After since there was four squares in the that collum, I had to multiply 36 by 4 which equalled 134. 134 very small triangle can fit in one out of four collums. That meant I had to also multiply that 134 by four once again which was 536. That means that one of those really small triangles is 1/536 of the square
ReplyDeleteGreat work everyone on your first official POTW. Below is the answer. Remember there ARE MANY ways to solve problems in math. Did you use another way? Did some of your classmates use a different way than you? If you did not obtain 1/512 do you know why? How do you think you could alter your process in order to obtain the correct response of 1/512?
ReplyDeleteThe solution to the question is 1/512.
The explanation is, after we created the flower we marked the triangle as we needed to find out what fraction this triangle was out of the original square.
We unfolded the flower so we had the original square with the marked triangle in the bottom corner.
We marked out 1/4 of the square, we then quartered this which gave us 1/16.
We quartered again and got 1/64.
Yet again we quartered giving us 1/256.
The marked triangle was half of this so this time we halved and got 1/512.
One of the main reasons why I was wrong was that I compared the square ( 4 triangles ) to the total area of the "big" square. Second, instead of directly relating each downsize with the total area (e.g. 1/4, 1/16, 1/64...) , I did divide the length of the square unfolded by the length of the triangle, giving me 12.2 (forever). I rounded it down and then multiplied 12 x 12 to give me 144. altering the process would be to light of a description as I would have to change the very data of my calculation to get anywhere near it .
ReplyDeleteTesting
ReplyDelete