Array grids for multiplication (free printable)
A big square grid with the rows and columns numbered along the edges, for shading arrays, and lines under it for the array and the number sentence. Choose the size and print.
To save a PDF, choose Print, then “Save as PDF” as the printer. Only the sheet prints.
About this sheet
An array is the picture behind multiplication: rows of equal groups lined up so that the total can be counted by rows, by columns or by multiplying. Students shade a rectangle from the top left corner, such as four rows of six, and the grid does the counting. The edges are numbered so that the rectangle can be read as a fact, and the lines under the grid take the array and the number sentence, which ties the picture to the equation. Choose a grid from four by four up to fifteen by fifteen. The same page shows that four times six and six times four share a rectangle, and later it shows the area model of multi-digit multiplication.
Grades: 2 to 5. Best in: October, November, December, January, February.
How to use it
- Choose the size of the grid, up to fifteen by fifteen. Twelve is a good size for the multiplication facts most classes learn.
- Give a fact, such as 4 × 6, and ask students to shade a rectangle that is four rows and six columns.
- On the lines below, write the array as rows by columns and the matching number sentence, with the product.
Five ideas for class
- Give a product, such as 12, and ask for every rectangle with that area. The factor pairs appear as different shapes on the same grid.
- Shade 3 by 7, then turn the page and read it as 7 by 3. The commutative property becomes something children see.
- Split a large array into two smaller ones with a line and write the matching sums, such as 6 × 7 as 6 × 5 plus 6 × 2.
- Color every array of a product in a different color on a single grid, and compare how they fit together.
- Use the grid for area: label the sides in units and ask children to find the area by multiplying the sides.
Related
Questions
What is the difference between an array and an area model?
They are the same rectangle seen two ways. An array counts objects in rows; an area model measures a region. Students move from one to the other in third and fourth grade.
Can I print a smaller grid?
Yes. Set the size to ten or less and the squares get larger. The page always fills the width.
Is there a multiplication chart?
Yes. The multiplication chart in the math section of this site is a finished chart that you can highlight and print.
How do I save it as a PDF?
Choose Print, then pick “Save as PDF” as the printer. Only the sheet prints: the page around it is hidden. You can also save a sheet as a PNG image under the preview.
Can I print it in black and white?
Yes. Switch to Black and white beside the sheet: fills turn white and lines turn black, so it saves ink and photocopies cleanly.
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