To practice math facts by connecting fact families to arrays.
Draw an array of dots on the board, such as a 3-by-5 array. Ask students for the fact family that describes the array. For this example, the fact family would be 3 × 5 = 15, 5 × 3 = 15, 15 ÷ 3 = 5, and 15 ÷ 5 = 3. Draw other arrays, with small enough dimensions to keep this activity fast-paced, and continue asking students for the fact family that describes the array. As students become more comfortable, you might give a member of a fact family, such as 4 × 3 = 12, and ask students to describe a matching array and then give the other members of the fact family. In this example, an array with 4 rows and 3 columns or an array with 3 rows and 4 columns would be appropriate. The other members of the fact family are 3 × 4 = 12, 12 ÷ 3 = 4, and 12 ÷ 4 = 3.
Part 1 asks students to visualize arrays with smaller dimensions and name the fact family describing each array. Part 2 and the extension progresses to either naming the fact family from visualizing the array or describing the array from knowing a fact from the fact family.
Let’s picture some arrays and name the fact family that describes each one. For example, I’m thinking of an array that has 3 rows and 5 columns. What fact family describes this array?
(5 × 3 = 15, 3 × 5 =15, 15 ÷ 5 = 3 and 15 ÷ 3 = 5)
While children are enjoying their building of mastery, feel free to repeat. When children are eager for more, try Part 2.
Let’s explore some bigger arrays and their fact families. This time, you will be given an array to picture or a member of a fact family. If given an array to picture, you will name the members of its fact family. If given a fact, you will describe the array associated with this fact and name the other members of the fact family. Here we go!
As always, when children seem excited for a new challenge, move on.
Now we’ll picture some even bigger arrays and their fact families.