Shapes and Designs Inv. 1.3: Tiling Activity Sheet

REVIEW OF DIRECTIONS: 1.) Go to my Edline math page, click “CMP Web Code” Go to my Edline math page, click “CMP Web Code” (-or- Log on to: 2.) There is an “Enter Code” box in upper left hand of screen. 3.) Enter “amd” in 1st box and “3103” in 2nd box and hit Enter. 4.) Click on “Shapes and Designs” 5.) Click on “Tessellations” 6.) Click on “instructions” and read how to move shapes around. Use the computer to work through Problem 1.3 (page 15 in your book. See also page 9 and 10.)

NOTE: If you have NOT gone through problem 1.3 on your own, using your own worksheet, you must do this before going any further in this PowerPoint! Click here to go to my Edline page. Go to my Edline page for a copy of the worksheet. Thank you!

A. 1. The only possible shapes and tiling patterns. Remember, you weren’t supposed to use B in your sketch here!! A D B

A. 2. Regular Polygons that tile: Shape A, Shape D, and Shape B. A BD Regular Triangle or Equilateral Triangle Square Regular Hexagon (Page 9 and 10 show all of the names, shapes, and their letters.)

B. Possible Sketches using a combination of two or more different shapes. A A D B B F

A A D B B F

C. 1. Draw in the point where the vertices of the polygons meet. Here or Here

C. 2. The following polygons fit around these points. Two Hexagons and Two Triangles. Pattern: Hexagon, Triangle, Hexagon, and Triangle. (H,T,H,T) Two Hexagons and Two Triangles. Pattern: Hexagon, Triangle, Triangle, and Hexagon. (H,T,T,H)

C. 3. No, not always. As you can see, this same tiling has two different pattern orders, depending on where you choose the point. (H,T,H,T) (H,T,T,H)

Well Done! Please see me if you have any questions.