Differential vs. Integral Kitty

I have been reading Infinite Powers by Steven Strogatz as part of a twitter book club and decided to incorporate Fractal Kitty as I go through. This one is from the introduction. I really contemplated playing more with a comic for the Infinity Principle and still may.

Week 5: Tell a Tale (or comic)

No matter what grade/age, stories are fun. This week I encourage learners to read and write math stories. Take a concept and illustrate it through the art of story. Write comics, picture stories, murder mysteries, fantasies, plays, etc. Students can act their story out, create a stop animation, or illustrate. I often encourage learners to write about a concept they love or think they can teach.

Learners I have worked with have enjoyed sharing their stories with each other and friends. Encourage this through a google classroom, open mic, etc.

Some fun ideas if you come up blank:

  • Powers of 2 – the magic of multiplying (like in Demi’s One Grain of Rice)
  • The algorithm for long division as steps to a mystery or spy mission
  • A solar system of various Euclidian Solids
  • A geometrical mission through space with specific angle requirements
  • The route inspection problem – what is the shortest path for the mail to get delivered with a specific layout of houses?
  • Comics on how to learn or do concepts in math
  • Mystery characters that emulate mathematical properties (Logical Lucas, Divisive Desi, Manipulative Mike, etc)
  • Super heroes that have mathematical powers and must solve mathematical problems
  • Fractals – Create a world, character or story that is iterative and infinite

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Week 3: Sonobe Octahedron

Octahedrons are such a fun shape. This week we are going to learn an important fold in origami that can be used to make so many mathematical shapes, puzzles and works of art. We are going to learn Sonobe. Below is a video of how to create the basic fold and then assemble the octahedron. You will need 12 sheets of origami paper. I have done this project with 7yrs and up. My high school students have folded in teams to make larger polyhedra. In future weeks we will be making other structures and sonobe will be an option.

The best resource for Sonobe I have found is here: https://www.amherst.edu/media/view/290032/original/oragami.pdf

Kitty in a Binary Tree

If you must translate, then here it is:

01010100 01101111 00100000 01100011 01100001 01110100 01101110 01100001 01110000 00100000 01101111 01110010 00100000 01101110 01101111 01110100 00100000 01110100 01101111 00100000 01100011 01100001 01110100 01101110 01100001 01110000 00111111 00100000 01010100 01101000 01100001 01110100 00100000 01101001 01110011 00100000 01110100 01101000 01100101 00100000 01110001 01110101 01100101 01110011 01110100 01101001 01101111 01101110 00101110