Exploring Fractals by Mindy Thompson https://padlet.com/mindy_thompson/c2peszp2gxht Think like a mathematician! Learn about one of the newest topics in math. en-us 2019-02-13 13:51:46 UTC 2023-11-22 14:10:43 UTC hello@padlet.com Check out this video of the Featherino Fractal. mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330793170 2019-02-13 13:54:17 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330793170 A little more info... mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330795373 2019-02-13 13:57:53 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330795373 Read the information on the page below. mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330800633 So what exactly IS a fractal? Check out the link below.]]> 2019-02-13 14:07:35 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330800633 Assignment: mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330801198 Use the internet to find an example of a fractal in nature.  Post a picture here on the class Fractal Padlet so your peers can see what you found.]]> 2019-02-13 14:08:31 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330801198 Sierpinski's Triangle--gather materials mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330803793 You'll need scissors, a ruler, markers or colored pencils, and a copy the handout below.  If you can't print, ask your teacher for to print a copy for you.


]]> 2019-02-13 14:13:16 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330803793 Math Connection mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330805715 Compare the triangle you stated with in step 1 to later iterations. Think about the following questions: 

1. What fraction of the triangle did you NOT color out in the first iteration? 

2. What fraction of the triangle in the 2nd iteration is NOT colored? 

3. What fraction did you NOT color in the the 3rd iteration ? 

4. Do you see a pattern here? 
]]> 2019-02-13 14:16:39 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330805715 Jurassic Park Fractal mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330833708 This time, you need a long, thin strip of paper. Using one of the long sheets of construction paper, cut a strip along the long side about 1 inch wide.  Or you can use regular paper and tape strips together. Watch the video below and follow along.]]> 2019-02-13 15:02:02 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330833708 More iterations of Jurassic Park Fractal mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330855916 What would happen if you folded your paper 5 times instead of 4?  6 times?  Try it. Click the next link to see what repeated iterations would look like. If you want to, you can even try to draw it.]]> 2019-02-13 15:35:52 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330855916 What do 12 iterations look like? mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330856779 These high school students won an award for creating this model.]]> 2019-02-13 15:37:09 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330856779 A mathematician explains... mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330902442 2019-02-13 16:47:51 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330902442 Supplies: mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330906241 You're going to need more paper,(triangular graph paper is great if you have it), a ruler, and a pencil with a good eraser.  Precision is important with this one! Watch this video to show you have to draw this fractal.]]> 2019-02-13 16:53:40 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330906241 Math Connection mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330909377 A really interesting characteristic of the Koch Snowflake is its perimeter.

Ordinarily, when you increase the perimeter of a geometric figure, you also increase its area. If you have a square with a huge perimeter, it also has a huge area. But wait till you see what happens when you investigate the perimeter of a Koch Snowflake fractal!


]]> 2019-02-13 16:58:32 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330909377 Share mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330913009 What  do you think it means to say "An infinite perimeter encloses a fixed area?"

Use the "+" button below to answer this question.

]]> 2019-02-13 17:03:55 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330913009 Do some research! mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330915580 How are fractals used in science, technology, and engineering?  Create a presentation in Google and post a link in our class Fractal Padlet.]]> 2019-02-13 17:08:11 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330915580 Sierpinski's Triangle + Pascal's Triangle mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330966725 Investigate Pascal's Sierpinski's Triangle.]]> 2019-02-13 18:30:27 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/330966725 Investigate Fractals in the form of trees. mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/331024890 You may not have time to complete everything. Print pages 1-3 and then do more if you have time. ]]> 2019-02-13 20:09:00 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/331024890 Use the computer to model it mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/475241465 2020-03-25 18:59:44 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/475241465 Draw your own Sierpenski's Triangle using these instructions: mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/807868610 2020-10-06 18:07:25 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/807868610 Jurassic Park Fractal mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/807904409 2020-10-06 18:15:36 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/807904409 Watch a Jurassic Park Fractal unfold mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/916570330 2020-11-12 14:25:33 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/916570330 Recursive mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/916596046 Think about the word "recursive."  How might we apply that to poetry or music?
Listen for an example.]]> 2020-11-12 14:30:41 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/916596046 Try it out! mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/916601707 Compose your own recursive poem or song using Google Docs. Post a link below to share with the group!]]> 2020-11-12 14:31:51 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/916601707 Another cool video mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/1870303232 2021-11-05 15:51:50 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/1870303232 Use the "+" button to answer the following question below: mindy_thompson https://padlet.com/mindy_thompson/c2peszp2gxht/wish/1870439791 What fractional pattern did you see?  What are your predictions?]]> 2021-11-05 16:53:52 UTC https://padlet.com/mindy_thompson/c2peszp2gxht/wish/1870439791