Students' First Questions and Conjectures from Sketchpad Sessions:

The Dollar Bill Fold

The final creases are shown below in an outline of the shape of a dollar bill.

Question: (S.J.) Is the bill made so that the two outer triangles make the one triangle in the middle?

Conjecture: (C.C.) When you fold the bill into a 3D object, the two triangles fit together and look the same as the rest of the triangles.

Conjecture: (A.B.) The dollar bill is made so that it can be folded to look like the pyramid on the back.

Conjecture: (A.C.) How George’s picture is framed is determined by whether you fold the bill from the top or the bottom.

Conjecture: (T.R.) No matter how you fold the bill , the words United States of America show.

Conjecture: (L.L.) The folded bill has a vertical symmetry, if you fold the bill in half vertically.

Conjecture: (S.B.) The bill can be folded into equilateral triangles making a nifty symmetrical object (pyramid? prism?)

Contact us at:
SEARCH
Mount Holyoke College
50 College Street
South Hadley, MA 01075-1441
413-538-2608(phone)/413-538-2002 (fax)
SEARCH@mtholyoke.edu

SummerMath Program