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Popsicle Stick Abacus

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<strong>Popsicle</strong> <strong>Stick</strong> <strong>Abacus</strong><br />

Contents<br />

Topic Pages<br />

Making an 8 Rod <strong>Abacus</strong> 2-3<br />

Making a 4 Rod <strong>Abacus</strong> (well suited for primary grades) 4<br />

Some Common Terms 5<br />

Representing Numbers 6-7<br />

Place Value 8<br />

Al Mendle 12/04 , 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle<br />

1


<strong>Popsicle</strong> <strong>Stick</strong> <strong>Abacus</strong> - 8 Rods<br />

For each abacus in this<br />

version, you will need:<br />

• 12 craft sticks<br />

• 8 4-inch pieces of<br />

1<br />

8 inch diameter<br />

doweling.<br />

• 56 pony beads,<br />

three different<br />

colors (21, 21, 14)<br />

• white glue<br />

−<br />

Use the grid on the<br />

right as a template.<br />

The dotted lines show<br />

where the dowels will<br />

be placed. The squiggle<br />

( ) represents glue.<br />

1. Glue two popsicle sticks together. Repeat this five more times. Place three<br />

glued pairs on top of the template, diagram 1.<br />

diagram 2<br />

Place dowels and craft sticks on top of this<br />

template<br />

2<br />

diagram 1<br />

2. Put a line of glue on top of the<br />

three popsicle stick pairs as<br />

shown in diagram 1.<br />

3. Put 7 pony beads on a piece of<br />

doweling and place on top of the<br />

template, directly above the glue,<br />

as shown in diagram 2.<br />

Al Mendle 12/04 , 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle


{<br />

select one<br />

color<br />

diagram 3<br />

{ {<br />

select a<br />

2 nd color<br />

select a<br />

3 rd color<br />

5. Glue the last three popsicle<br />

stick pairs on the top of the<br />

assembly.<br />

3<br />

4. Continue to glue the dowels<br />

with the beads as shown in<br />

diagram 3. Using differnet<br />

colors can help with place value.<br />

Be sure to use the template<br />

(diagram 1) as a guide.<br />

diagram 4<br />

The idea for this project came from a webpage entitled, “The<br />

<strong>Popsicle</strong> <strong>Stick</strong> <strong>Abacus</strong>” by Mr. Barinque. The url is:<br />

http://www.ee.ryerson.ca/~elf/abacus/popsicle/<br />

Al Mendle 12/04 , 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle


<strong>Popsicle</strong> <strong>Stick</strong> <strong>Abacus</strong> - 4 Rods<br />

For each abacus in<br />

this version, you will<br />

need:<br />

• 9 craft sticks<br />

• 4 4-inch pieces<br />

1<br />

of 8 inch<br />

diameter<br />

doweling.<br />

• 28 pony beads<br />

• white glue<br />

−<br />

Al Mendle 12/04 , 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle<br />

4<br />

Follow the same<br />

procedures shown for<br />

the 8-rod abacus.


Upper<br />

Deck<br />

{<br />

{<br />

Lower<br />

Deck<br />

Al Mendle 12/04 , 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle<br />

5<br />

} Earth<br />

Beads<br />

Reckoning Bar<br />

or Beam<br />

Rod<br />

Record the numbers represented on each abacus


Record the numbers represented on each abacus<br />

Al Mendle 12/04 , 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle<br />

6


Al Mendle 12/04, 9/07<br />

ammendle@ucdavis.edu<br />

http://trc.ucdavis.edu/almendle<br />

Shade in the beads to represent numbers.<br />

Record the values in the boxes.<br />

7


tens<br />

ones<br />

hundreds<br />

tens<br />

ones<br />

hundreds<br />

tens<br />

ones<br />

millions<br />

thousands<br />

units<br />

Use different colors of<br />

beads to represent<br />

different whole number<br />

periods.<br />

Expressing powers of 10<br />

with exponents is another<br />

nice fit.<br />

€<br />

€<br />

8<br />

thousands units decimals<br />

tens<br />

ones<br />

•<br />

10<br />

€<br />

4<br />

•<br />

10<br />

€<br />

The abacus is a natural<br />

device to amplify<br />

important place value<br />

concepts. Use it in<br />

conjunction with place<br />

value charts.<br />

hundreds<br />

tens<br />

ones<br />

tenths<br />

3<br />

•<br />

10<br />

2<br />

•<br />

€<br />

10<br />

€<br />

1<br />

•<br />

10<br />

0<br />

•<br />

€<br />

10<br />

−1<br />

•<br />

€<br />

hundredths<br />

10<br />

−2<br />

•<br />

thousandths<br />

10<br />

Using colors can also<br />

represent decimal fractions.<br />

Al Mendle 12/04. 9/07 ammendle@ucdavis.edu http://trc.ucdavis.edu/almendle<br />

−3

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