flexagons other fun art and math connections tully jr high school virginia killmore l.
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Flexagons & Other Fun Art and Math Connections Tully Jr. High School Virginia Killmore. What you will Learn. How Art and Math can create meaningful connections for students in your classroom

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Presentation Transcript
what you will learn
What you will Learn
  • How Art and Math can create meaningful connections for students in your classroom
  • You will learn by making 4 samples for your classroom As well as take home instructions for these samples
  • Share websites that teach students about art and math
why create these connections
Why Create These connections
  • Students observe and learn from connections between Art and Math
  • Reinforce what is learned in both disciplines and create meaningful activities for middle school students
  • Students will learn measurement skills
  • Students will learn to recognize and be able to classify geometric shapes
  • Students will to use vocabulary learned in Math and reinforced in Art
  • To physically investigate and analyze the attributes of geometric shapes.
  • Students will visually understand abstract concepts learned in Math
samples we will make
Samples We Will Make
  • Mobius Strip
  • Tessellation
  • Flexagon
  • Kaleidocycle
mobius strip
Mobius Strip
  • A mobius strip is a loop of paper with a half twist in it.

Supplies

  • A 1”X 11” strip of paper
  • Scissors
  • Pencil
  • Ruler
  • Tape
how to make a mobius strip
How to Make a Mobius Strip.
  • Using a ruler and pencil Make a 1”strip on a piece of paper.
  • Cut out the strip
  • Give it a half twist (turn one end over).
  • Tape the ends together.
what to do with a mobius strip
What to do With a Mobius Strip
  • After you make your mobius strip, take a pencil and draw a line along the length. How many sides does the mobius strip have?
  • Take a pair of scissors and cut the mobius strip along the line you have drawn. What happened?
  • What do you think will happen if you cut it down the middle again? Try it.
flexagon
Flexagon
  • Flexagon is a sheet of paper folded and cut in a special way so that as well as having a front and a back you can fold them to reveal hidden sides. 
flexagon9
Flexagon

Supplies

  • 3 ½” X 22” Strip of oak tag or heavy paper
  • Ruler
  • Pencil
  • Colored pencils or markers
flexagons instructions

4 4 4 4 4 2

2 4 4 4 4 4

Flexagons Instructions
  • Mark the strip in 4” and 2” intervals as shown below and connect the marks to form ten equilateral triangles and a right triangle at each end of the paper
instructions
Instructions
  • Cut off the right triangles at each end
  • Lightly fold and score at each line
flexagon instructions
Flexagon instructions
  • Fold as follows
  • Count 3 triangles from the left and fold them to the back
  • Count 3 more triangles, and fold the other triangle to the front.
  • Place the end under the beginning and fold the last triangle over the first triangle.
  • Glue or tape the last triangle in place (do not tape over any edges)
how to flex
How To flex
  • Pinch together two adjacent triangles, pushing the crease up. Then push the opposite side down and into the center
  • Flex outward and from the center to revel new face
  • If it doesn't work try the next Triangle
tessellations
Tessellations
  • Supplies
  • Pencil
  • Marker
  • Scissors
  • Tape
  • 2 sheets of Colored paper – Draw a grid with 3”X3” inch squares on one sheet
  • 3X5 Card – Cut 2inches off creating a 3”X3” template
  • Instructions
tessellation instructions
Tessellation Instructions
  • Cut a wavy line from the bottom left corner to the top right corner of the square
  • Slide the left piece to the right side and tape it down
  • Cut a wavy line from the bottom left corner to the bottom right corner of the square
  • Slide bottom piece to the top and tape it down

3X3 Square

Step 2

Step 1

Step 3

instructions continued
Instructions Continued
  • Trace the template to one of the sheets of colored paper and cut them out.
  • Align a shape with the top left grid Square and glue it down
  • Continue to paste the cut outs in a checkerboard pattern on the grid
  • Erase the grid lines and create details to make recognizable shapes.
build a kaleidocycle
Build a Kaleidocycle
  • Start with pattern included in kit
  • Enlarge it as desired I usually enlarge to fit a 12”X18” sheet of paper
  • Cut out pattern
  • Trace the pattern by taping it to oak tag board and drawing over lines using a ruler
  • Cut and score over each line
  • Fold and glue as instructed on pattern
related web sites
Related Web Sites
  • Tessellations http://library.thinkquest.org/16661/http://www.tessellations.org/index.htm
  • MC Escher and Math http://www.mathacademy.com/pr/minitext/escher/index.asp
  • Flexagons http://www.mathemagic.org/MathsAndArt/flexagon.htm
  • http://www.mathematische-basteleien.de/flexagons.htm#Flexagons%20in%20the%20Internet
  • Geometry http://ccins.camosun.bc.ca/~jbritton/jbrubbergeom.htm
disclaimer
Disclaimer
  • I am not particularly brilliant
  • All this information is accessible on the web
  • Just do a google search on words like Moebius, flexagons, math activities
  • Ideas and printed publications provided here were shared with me by other teachers and found on the web