# The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

### ESCHER #5: All About Assumptions

ESCHER #5:  All About Assumptions (February 10, 2015)  I brought in some soccer balls to continue our discussion about which regular polygons can be tessellated.  The kids discovered that the balls were a pattern of both pentagons and hexagons.  The question became “Why?”  Conjectures:  Roundness?  Size? Of course, since soccer balls are 3-D, they weren’t going to answer our question…

### ESCHER #3: Things Get Emotional

(January 20, 2013)  “What’s this for?” asked the kids as I handed everyone a piece of triangular graph paper.  I explained that you can make fancy tessellations on this kind of paper. “What’s wrong with squares?” asked A, referring to traditional graph paper.  I then handed out square grid paper for anyone who wanted to try it on squares.  M…

### Symmetry: The Questions (ESCHER #2)

(January 13, 2015)  For the most part, I’m going to let the pictures do the talking this week.  They tell the mathematical story of our session via the students’ work and question. We continue to wrangle over the definition/types of symmetry.  I posed 2 new questions this week: 1)  Can you get a mirror image of an object using rotation…