Thursday, October 29, 2015

Related Rates Related to You

We did these problems today in AP Calculus.  Part of the problem I have with related rates questions is most of the time they seem so contrived and impractical.  Like, why do I care what rate the radius of the balloon is increasing given the rate the volume is increasing?  So, I had some fun with these types of problems.  The kids loved seeing their names in the stories.

I put them in groups and assigned one problem per group (making sure that if a student was in one of the word problems, s/he was in the group working that same question).  Answers are included so the kids could check themselves easily.  Then I had them make a poster.  These are some from last year:




Afterwards, I asked the students to read the other problems and then use the posters to write the solutions in their notebooks.

Here are the problems I used (I'm sure I stole several of them from other people, so let me know if I owe you credit).  I always change the names for each section.





Download here.

62 comments:

  1. I don’t know if this is actually the best place to ask but would you folks have any ideea where to employ some expert

    ReplyDelete
    Replies
    1. IEEE Final Year projects Project Centers in Chennai are consistently sought after. Final Year Students Projects take a shot at them to improve their aptitudes, while specialists like the enjoyment in interfering with innovation. For experts, it's an alternate ball game through and through. Smaller than expected IEEE Final Year project centers ground for all fragments of CSE & IT engineers hoping to assemble. Final Year Projects for CSE It gives you tips and rules that is progressively critical to consider while choosing any final year project point.

      Spring Framework has already made serious inroads as an integrated technology stack for building user-facing applications. Spring Framework Corporate TRaining the authors explore the idea of using Java in Big Data platforms.
      Specifically, Spring Framework provides various tasks are geared around preparing data for further analysis and visualization. Spring Training in Chennai


      The Nodejs Training Angular Training covers a wide range of topics including Components, Angular Directives, Angular Services, Pipes, security fundamentals, Routing, and Angular programmability. The new Angular TRaining will lay the foundation you need to specialise in Single Page Application developer. Angular Training

      Delete
  2. For Assignment Writing, a professor’s guideline is followed to produce an extraordinary english thesis help result for the students.

    ReplyDelete
  3. Are you trying to money right into a financial institution account, the whole quantity commonly cannot be immediately accessed; there could also be a waiting amount for the check to clean?

    ReplyDelete
  4. It is really hard to say when exactly need to cash your check. Sometimes it may very difficult to cash if it is not official hours. That’s why we feel you much and services. It is very easy to finding us http://www.unitedcheckcashing.com as we are at your city or nearest places. Just remember us and we will cash your check very short period with a very low cost.http://www.unitedcheckcashing.com/

    ReplyDelete
  5. Prime Rate generally refers to the rate that a bank offers its best customers for loans. The Wall Street Journal publishes an a blended average for a group of financial institutions, and this rate, known as the Wall Street Journal Prime Rate is often used when referring to a prime rate loan. Since the WSJ Prime Rate is much higher than the other three rates, its rate is not directly comparable.guarantor loans

    ReplyDelete
  6. Crypto-currency as a modern form of the digital asset has received a worldwide acclaim for easy and faster financial transactions and its awareness among people have allowed them to take more interest in the field thus opening up new and advanced ways of making payments. Crypto.com Referral Code with the growing demand of this global phenomenon more,new traders and business owners are now willing to invest in this currency platform despite its fluctuating prices however it is quite difficult to choose the best one when the market is full. In the list of crypto-currencies bit-coins is one of the oldest and more popular Crypto.com Referral Code for the last few years. It is basically used for trading goods and services and has become the part of the so-called computerized block-chain system allowing anyone to use it thus increasing the craze among the public, Crypto.com Referral Code.

    Common people who are willing to purchase BTC can use an online wallet system for buying them safely in exchange of cash or credit cards and in a comfortable way from the thousands of BTC foundations around the world and keep them as assets for the future. Due to its popularity, many corporate investors are now accepting them as cross-border payments and the rise is unstoppable. With the advent of the internet and mobile devices,information gathering has become quite easy as a result the BTC financial transactions are accessible and its price is set in accordance with people’s choice and preferences thus leading to a profitable investment with Crypto.com Referral Code. Recent surveys have also proved that instability is good for BTC exchange as if there is instability and political unrest in the country due to which banks suffer then investing in BTC can surely be a better option. Again bit-coin transaction fees are pretty cheaper and a more convenient technology for making contracts thus attracting the crowd. The BTC can also be converted into different fiat currencies and is used for trading of securities, for land titles, document stamping, public rewards and vice versa.

    Another advanced block-chain project is Ethereumor the ETH which has served much more than just a digital form of crypto-currency Crypto.com Referral Code and its popularity in the last few decades have allowed billions of people to hold wallets for them. With the ease of the online world,the ETH have allowed the retailers and business organizations to accept them for trading purposes, therefore, can serve as the future of the financial system.

    ReplyDelete
  7. I think this is a really good article. You make this information interesting and engaging. You give readers a lot to think about and I appreciate that kind of writing buy web traffic

    ReplyDelete
  8. The following time I learn a blog, I hope that it doesnt disappoint me as a lot as this one. I imply, I know it was my choice to learn, but I actually thought youd have one thing fascinating to say. All I hear is a bunch of whining about something that you may fix should you werent too busy searching for attention 먹튀폴리스

    ReplyDelete
  9. I am happy to find this post Very useful for me, as it contains lot of information. I Always prefer to read The Quality and glad I found this thing in you post. Thanks 토토사이트

    ReplyDelete
  10. Archie 420 Dispensary is a trusted Cannabis dispensary base in Los Angeles California USA. It is one of the top dispensary in this part of the country. They do deliver Marijuana in the USA and to over 25 countries in the world. Buy train wreck weed online You can always visit their dispensary in Los Angeles using the address on their website. Place your order and get served by the best dispensary in the planet. Have fun.

    ReplyDelete
  11. Chhattisgarh Board 11th Class Arts Commerce Science Stream provided here that contains the important subject materials. All the students of CG Board Class 11th can download the required subject textbook CGBSE Textbook for 11th Standard and can have quick access anywhere and anytime. Students preparing for the CGBSE Class 11th Exams can go through complete CG Board Class 11 Books 2021 covering the entire CGBSE 1s1th Syllabus 2020-21.

    ReplyDelete
  12. Every weekend i used to go to see this site, as i want enjoyment 메이저토토사이트, since this this site conations genuinely fastidious funny data too.

    ReplyDelete
  13. I've been troubled for several days with this topic. 토토사이트, But by chance looking at your post solved my problem! I will leave my blog, so when would you like to visit it?!

    ReplyDelete
  14. We have been a professional house cleaning company that gives reliable cleaning service service, correct estimates, competing pricing, and is very dependable with regards to scheduled completion with the task, while using the latest equipment and strategies, materials, certain services, and even more. We make an effort to provide complete value for your money by doing the proper job on the right value. home cleaning services dubai

    ReplyDelete
  15. "Wow, this paragraph is pleasant, my younger sister is
    analyzing such things, thus I am going to let know her." 온라인슬롯

    ReplyDelete
  16. I am truly thankful to the holder of this site who has shared this great post at here. 메이저사이트

    ReplyDelete
  17. I like reading through a post that can make people think. Also, thanks for permitting me to comment! 카지노

    ReplyDelete
  18. Good write-up, I am regular visitor of one’s website, maintain up the excellent operate, and It’s going to be a regular visitor for a lengthy time.
    スロット

    ReplyDelete
  19. I believe that is among the such a lot important information for me.
    And i’m happy studying your article. But wanna observation on few normal things,
    The website taste is perfect, the articles is in reality nice :
    D. Just right process, cheers.Click Here 오피월드


    3YOUNGYANG

    ReplyDelete
  20. "Hey there! Do you use Twitter? I’d like to follow you if that would be okay.
    I’m absolutely enjoying your blog and look forward to new updates."

    성인야설

    ReplyDelete
  21. "I would like to thanks' for the efforts you have put in writing this blog. I’m hoping the same high-grade blog post from you in the upcoming also 휴게텔. Actually your creative writing abilities has encouraged me to get my own web site now. Actually the blogging is spreading its wings quickly. Your write up is a good example of it."

    ReplyDelete
  22. What an excellent you are. Your presentation was so good.마사지

    ReplyDelete
  23. "It’s amazing, your posts are really impressive, I hope to see more of this wonderful article from you"출장마사지

    ReplyDelete
  24. This is by far the best post I've seen recently. This article, which has been devoted to your efforts, has helped me to complete my task. Feel free to visit my website; 카지노사이트

    ReplyDelete
  25. Very goⲟd info. Lucky me I found your website bʏ ɑccident (stumbleսpon).
    I have ƅook marked it for ⅼater!JOIN US 오피월드


    1YOUNGYANG

    ReplyDelete
  26. Much obliged for each other useful site. The spot else might just I understand that sort of data written in such a perfect means?
    I have an endeavor that I"m a few seconds ago working on, and I have been watchful for such data.
    토토사이트


    ReplyDelete
  27. From some point on, I am preparing to build my site while browsing various sites. It is now somewhat completed. If you are interested, please come to play with 토토사이트!!


    ReplyDelete
  28. Hello, I'm happy to see some great articles on your site. Would you like to come to my site later? My site also has posts, comments and communities similar to yours. Please visit and take a look keonhacai


    ReplyDelete
  29. "I was impressed by your writing. Your writing is impressive. I want to write like you.카지노사이트검증 What you wrote was very helpful to me. Thank you. Actually, I run a site similar to you. If you have time, could you visit my site? Please leave your comments after reading what I wrote. If you do so, I will actively reflect your opinion. I think it will be a great help to run my site. Have a good day.

     7

    ReplyDelete
  30. I was impressed by your writing. Your writing is impressive. I want to write like you.안전놀이터 I hope you can read my post and let me know what to modify. My writing is in I would like you to visit my blog.


    ReplyDelete
  31. Hello, I read the post well. 안전놀이터 It's a really interesting topic and it has helped me a lot. In fact, I also run a website with similar content to your posting. Please visit once


    ReplyDelete
  32. This is a very impressive subject. Thank you for always. I have been reading your article interestingly. If possible, please visit my website to read my posts and leave comments. Have a nice day! 메이저놀이터 What you wrote was very helpful to me. Thank you. Actually, I run a site similar to you. If you have time, could you visit my site? Please leave your comments after reading what I wrote. If you do so, I will actively reflect your opinion. I think it will be a great help to run my site. Have a good day.


    ReplyDelete
  33. Hello, I am one of the most impressed people in your article. sòng bạc I'm very curious about how you write such a good article. Are you an expert on this subject? I think so. Thank you again for allowing me to read these posts, and have a nice day today. Thank you.


    ReplyDelete
  34. 메이저사이트추천December 11, 2021 at 2:35 AM

    Youre so right. Im there with you. Your weblog is definitely worth a read if anyone comes throughout it. Im lucky I did because now Ive received a whole new view of this. 메이저사이트추천


    ReplyDelete
  35. HOW to WIN Betting TIE BONUS - Ez 바둑이사이트 섯다 - Tie Line Strategy

    ReplyDelete
  36. Extremely decent blog and articles. I am realy extremely glad to visit your blog. Presently I am discovered which I really need. I check your blog regular and attempt to take in something from your blog. Much obliged to you and sitting tight for your new post.메이저사이트모음
    xfhj

    ReplyDelete


  37. That's a really impressive new idea!
    블랙잭사이트


    I finally found what I was looking for! I'm so happy.
    블랙잭사이트

    ReplyDelete
  38. Just 99 Web Design offers affordable web design packages for every business, from basic one-page websites to full eCommerce website design services. affordable web development

    ReplyDelete
  39. "Related Rates" refer to a calculus concept that deals with how the rates of change of two or more related quantities are interconnected. This concept finds application in various real-world scenarios, such as physics and engineering problems. By analyzing how one quantity changes in relation to another, we can derive equations that describe their changing rates. This enables us to solve problems where one rate of change is known, and we need to find another rate in the context of the given relationship. chances of going to jail for reckless driving in virginia




    ReplyDelete
  40. Thanks for your excellent blog and giving great kind of information.

    ReplyDelete
  41. Very nice blog and i am really very happy to visit your blog.

    ReplyDelete
  42. Now I fianlly found which I actually want.

    ReplyDelete
  43. I will check your blog everyday to learn something new from your blog.

    ReplyDelete
  44. It is always so interesting to visit your site.

    ReplyDelete
  45. I’m really enjoying the design and layout of your site.

    ReplyDelete
  46. This is great to unleash and play.

    ReplyDelete

  47. I wanted to thank you for this good read!! I certainly enjoyed every little bit of it.

    ReplyDelete

Tell me what you think!