Using Open Arrays and the Distributive Property to Solve Division Problems

Using the Distributive Property is a  great strategy for solving division problems - and you can use an open array as a model. When you use an open array in division, the dividend is the area, the divisor is one side length, and you are solving for the other side length (this will be your quotient). You can use the Distributive Property to break the dividend into multiples of the divisor (this is really important because it allows you to divide easily by the divisor!),  and then add the distances along the unknown side to find the quotient.  I like to make a mini array with the area next to my large array to keep track of total area because I will be breaking it apart in my large array. Here are some screen shots from today's lesson - hope they help!