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# Flexagons & Other Fun Art and Math Connections Tully Jr. High School Virginia Killmore - PowerPoint PPT Presentation

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 ConnectionsTully Jr. High SchoolVirginia Killmore

• 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

• 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

• Mobius Strip

• Tessellation

• Flexagon

• Kaleidocycle

• 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.

• 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.

• 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 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.

Supplies

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

• Ruler

• Pencil

• Colored pencils or markers

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

• Cut off the right triangles at each end

• Lightly fold and score at each line

• 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)

• 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

• 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

• 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

• 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.

• 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

• 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

• 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