This topic has been explained in a previous post, but now we can supplement that with a photo. See the complete post HERE for detailed activities to make math understandable in such a fun way that it will prompt you and your kids to call it “SWEET!”
Notice that several activities are demonstrated in the picture: multiplication (upper left), showing that 2 rows of 3 cubes each is equal to 3 rows of 2 cubes each; volume (upper right), showing 3 layers of 3 rows with 3 cubes each, or 3x3x3; and the differences between area and perimeter (bottom). The four groups of sugar cubes at the bottom each contain 12 sugar cubes, so they all have an area of 12 units. However, the varying configurations show how the perimeter changes drastically. With the far right configuration, the sides in the middle hole could be counted as part of the perimeter, too, depending on the real-life application (e.g. if you were installing a fence along the sides of a trail, and the cubes represented the trail).
BONUS TIPS:
1) I wrote right on the cookie sheet with a dry erase marker and wiped it off with a tissue (but I did wash the pan well before putting it away).
2) The sugar cube activities can also be drawn on graph paper to save as a reference or worksheet.
See also:
Sugar Cube Math
What Is the Missing Element?
Building Blocks for Success in Math
Looking for the “Hard Part”
Why Does Math Class Take SO LONG?
Guilt-Free Homeschooling is the creation of Carolyn Morrison and her daughter, Jennifer Leonhard. After serious disappointments with public school, Carolyn spent the next 11 years homeschooling her two children, from elementary to high school graduation and college admission. Refusing to force new homeschooling families to re-invent the wheel, Carolyn and Jennifer now share their encouragement, support, tips, and tricks, filling their blog with "all the answers we were looking for as a new-to-homeschooling family" and making this website a valuable resource for parents, not just a daily journal. Guilt-Free Homeschooling -- Equipping Parents for Homeschooling Success!
I have always used linking cubes for math. I can see where sugar cubes would come in handy and probably cheaper.