Check this out! A paper toy that demonstrates multiplication. A hand-made multiplication model.

Allows for hands-on, kinesthetic learning, and multiple-representations of the same concept.

Multiplication Basics

– Factor x factor = product

– Rows x columns = total

Making a Paper Calculator

– Planning

• Determine the factors you want students to multiply.

• For simplicity, keep below 10 (single digit).

• Sample: 7 x 7

– Materials

• Construction paper in 3 colors

• Large background (sample: black, roughly 12” x 13”)

• Strips in 2 other colors (sample: blue and green, about 1/2” x 12)

• Tape

– Assembly

• Start with the large background piece (color A).

• Lay out strips horizontally and tape strips at their base (color B), making sure they are separate, with space in between each row.

• Repeat with columns, vertically (color C).

Activities

– Demonstrate how to use:

• See images below (5 x 3)

– By folding back 2 horizontal strips, we have 5 rows remaining.

– By folding back 4 vertical strips, we have 3 columns remaining.

– Count intersections of horizontal and vertical strips (marked in white) to find the product of 5 x 3.

• Compare and contrast multiple interpretations of the same product.

– Example: 12 = 2 x 6 and 6 x 2

• Ask students to create more.

– Example: 3 x 4 and 4 x 3

• How else can you and your students use Paper Calculator? Please post notes below and shares pics to CoTA’s Facebook or @cotaprogram on Twitter!

Extensions/Possibilities

– Journaling/labeling

• Students make captions to represent Paper Calculator multiplication problems.

• Students draw Paper Calculator multiplication problems:

– as intersecting vertical and horizontal lines

– as arrays

– Making Patterns

• Weaving

• Over/under