*Contributor: Meghan Vestal. Lesson ID: 11366*

If picturing a multiplication problem seems difficult, we offer a ray of hope by showing you the value of an array! Learning to picture a number or word problem is easy, and you will even make a book!

categories

subject

Math

learning style

Visual

personality style

Beaver

Grade Level

Intermediate (3-5)

Lesson Type

Quick Query

Create a mathematical problem using the image above.

- What operation will you use in your problem?

Don't try *subtraction* by eating the cookies!

- What type of problem did you create to go along with the image above?

Maybe, you created a *numerical* problem, or maybe you created a *word* problem. What operation did you use? Show your problem to a teacher or parent and explain your reasoning.

Most likely, you created a multiplication problem to quickly determine the number of cookies on the sheet. Whether you created a numerical or a word problem, you probably used 3 x 5 or 5 x 3 in the problem to represent three columns and five rows, or five rows and three columns, of cookies. The image is an example of an *array*, and arrays are used to represent multiplication problems.

Multiplication is just a way to simplify long addition problems. For example, if Mrs. Jones has three children and each child gets five cookies after dinner, you could say 5 + 5 + 5 = 15. To simplify this problem, you could say 3 x 5 = 15. You could also use the array at the beginning of the lesson to illustrate the problem.

Arrays, like the one at the beginning of the lesson, can also be used to represent multiplication problems and word problems involving multiplication.

When you look at an array, you need to know the difference between a *row* and a *column*. A row runs *horizontally* and a column runs *vertically*.

- How many rows make up the array?
- How many columns make up the array?

Share and explain your answer to a teacher or parent.

- Did you say there are three rows and five columns?

That is the correct answer. To find the total number of objects that make up an array, multiply the number of rows by the number of columns. Tell your teacher or parent how many cookies make up this array. 3 x 5 = 15. Therefore, 15 cookies are a part of this array.

Think you understand how and why arrays work? Move on to the *Got It?* section to practice creating arrays and solving problems with arrays.

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