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Use these when multiplying with the area model

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Those you share this with will see the current array and settings.

Make a new rectangle

Change the size of the rectangle by entering whole numbers (up to 50) in the boxes. Then press the MAKE button.

Add and move the sliders

Drag the slider handles from the left or top to divide the rectange into smaller parts. Include up to 4 sliders on each axis.

View partial products

Watch how the equation changes depending on the position of the sliders. Point at any region to see the corresponding piece of the equation.

Show or hide answers

Toggle these buttons to show or hide the results of the equation.

Partial Product Finder allows multiplication combinations to be represented as a rectangle, or array, with dimensions that match the combination. The sides of the rectangle can then be divided into parts to reveal partial products that make up the total product. This helps students develop the flexibility and conceptual understanding required to build fluency with basic facts and strategies for multiplication of larger numbers.

We Welcome Your Feedback

Help us guide the ongoing development of this app by sharing your reactions or suggestions.

Partial Product Finder is brought to you by The Math Learning Center, a nonprofit organization serving the education community since 1976. Visit us at www.mathlearningcenter.org, where you can learn more about our organization, the Bridges in Mathematics PK-5 curriculum we publish, and the many free math education resources we provide, including a robust suite of free virtual manipulatives for use online or as downloadable apps for a variety of operating systems, including Apple iOS and Google Chrome.

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Partial Product, by The Math Learning Center

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Partial Product Finder allows multiplication combinations to be represented as a rectangle, or array, with dimensions that match the combination.

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Number Line helps students visualize number sequences and demonstrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing.

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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Money Pieces by The Math Learning Center

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Money Pieces help students visualize and understand money values and relationships.

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Fractions lets students use a bar or circle to represent fractions.