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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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Flexagons other fun art and math connections tully jr high school virginia killmore l.jpg

Flexagons & Other Fun Art and Math ConnectionsTully Jr. High SchoolVirginia Killmore


What you will learn l.jpg
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 l.jpg
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 l.jpg
Samples We Will Make

  • Mobius Strip

  • Tessellation

  • Flexagon

  • Kaleidocycle


Mobius strip l.jpg
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 l.jpg
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 l.jpg
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.


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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. 


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Flexagon

Supplies

  • 3 ½” X 22” Strip of oak tag or heavy paper

  • Ruler

  • Pencil

  • Colored pencils or markers


Flexagons instructions l.jpg

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 l.jpg
Instructions 2

  • Cut off the right triangles at each end

  • Lightly fold and score at each line


Flexagon instructions l.jpg
Flexagon instructions 2

  • 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 l.jpg
How To flex 2

  • 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 l.jpg
Tessellations 2

  • 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 l.jpg
Tessellation Instructions 2

  • 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 l.jpg
Instructions Continued 2

  • 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 l.jpg
Build a Kaleidocycle 2

  • 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 l.jpg
Related Web Sites 2

  • 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 l.jpg
Disclaimer 2

  • 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