With the help of array cards, children can understand and remember multiplication facts more easily. As they play with these cards, they develop a better grasp of the concepts behind multiplying numbers.

It can be a challenging activity for kids to learn times tables by memorization, regardless of how pretty or colorful a multiplication table is. Abstract concepts lacking any tangible or visual model can be difficult to grasp, which is why array cards offer a better alternative. They provide a more natural approach that helps children understand multiplication better by building on their existing knowledge of arrays.

Array cards example used for teaching multiplication

What Are Array Cards?

Array cards are rectangular cards divided into squares with the size of the array depending upon the numbers being multiplied. For instance, a 2×8 array card will be long and narrow while a 4×4 one is square-shaped. A card has one side showing the product, while the other has the dimensions written as a factor pair on it.

At their most basic level, array cards can be used as a replacement for flashcards in practicing multiplication. The shape of the card serves as an aid to help children remember products by counting squares or skip-counting by rows. As they progress further, students learn about properties like commutativity and distributivity through these cards.

Array Cards Help With Multiplication and Division

Array cards examples used for explaining commutativity and distributivity

Array cards help children understand multiplication by providing a visual representation of products. They also learn about the commutative property, which states that changing the order of factors does not change the product (e.g., 2×4 = 4×2). The distributive property can be demonstrated using array cards as well: if you cover a 8×2 card with two 4×2 cards and count the squares, it becomes clear how this equation works out (8×2 = (4×2) + (4×2)).

By making a small adjustment, array cards simplify understanding the connection between multiplication and division. Turning these cards over so that the product is visible, draw one dimension with a pencil. For instance, on a 4×5 card, the back would show the product (20) along with either of its dimensions (either 4 or 5). Students then attempt to deduce the missing factor (4 x ? = 20), or they can approach it as a division problem (20 / 4 = ?). The shape of the card can serve as clue for kids to remember the multiplication or division fact.

Using Array Cards for Multiplication and Division Games

Array cards can be used to play various math games that reinforce multiplication skills. TERC, an educational research group, has developed several popular games using these cards. Alternatively, teachers or students can create their own unique games. These activities make learning about numbers and operations fun while reinforcing essential concepts.

The Benefits of Hands-On Learning with Array Cards

Through the use of array cards, children progress naturally from a concrete understanding to an abstract concept as they learn about multiplication and division. By making math fun and engaging, array cards help children develop a strong foundation in numbers that will serve them well throughout their academic journey.