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A national university system with 10 campuses throughout the United States, Concordia was founded more than 100 years ago and is accredited by the Northwest Commission on Colleges and Universities.
 Printable Version
for your convenience!
Julianne Vrooman
Caroline Samoska
Name of Activity: The Put - in - Order Problem
Topic: Geometry, Spatial Reasoning
Grade Level: 3 - 4
Materials Needed: One set of toothpick cards (per group)
Four toothpicks (per group, or per student)
Description of Activity:
Introduce the activity by arranging four toothpicks on the overhead
in a square. Ask the class what other shapes could they make by
moving just one toothpick (flip top of square up to form the letter
"J" as an example). Explain that the only rule is that
the toothpicks must all be touching, somehow, at all times. Let
the students come up with suggestions, and demonstrate how the
shape can change so much by just moving one piece.
Divide the students into groups. Instruct the students to select
one card from the pile of "toothpick" cards they have
on their table. After they have selected this card, tell them
to move one toothpick, and the find the matching card in the stack
and place it next to the original card. Continue like this until
all of the cards are lined in a row, making sure that each pattern
can be made from the previous design by moving just one toothpick.
Have the students use the numbers on the card to record how they
solved the problem by listing the numbers in order. Continue doing
this until they have at least three ways to arrange the cards.
Each group will then share one of their solutions with the rest
of the class.
**EXTRA** Have the students try to make a continuous loop of the
cards so each changes to the one on either side if one toothpick
is moved.
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