Models of Multiplication!!!

Models of Multiplication!!!

by Mr. Berkley

In this lesson, you will be able to...

• Understand various ways to represent multiplication problems

• Use a variety of methods to solve multiplication problems

• Read and solve multiplication word problems using a variety of strategies

Once upon a time in Southside Richmond...

there lived a set of very special quadruplets....

Braydynn...

He was the oldest of the quadruplets (by three minutes).

Haydynn...

The second oldest and the smartest of the quads...

Jaydynn...

The third oldest of the quads and the most kind and generous....

and Shah'Niyy'Yahh...

the youngest of the four, and also the strongest and the best at sports.

These four siblings love to learn.

And they also love to help others learn. So, for this lesson, they are going to teach you about the four basic representations (models) of multiplication!

Model #1: Repeated Addition

The most basic definition of multiplication is REPEATED ADDITION, adding the same number of items over and over again.

EXAMPLES:

7+7+7=21 (is the same as 7x3=21)

9+9+9+9=36 (is the same as 9x4=36)

8+8=16 (is the same as 8x2=16)

Fill in the Blanks

On Monday morning, Braydynn made sure that he and siblings had enough pencils for school. So he grabbed a handful from his pencil case, put them on the table, and separated them into equal groups. Using a sheet of paper, Braydynn wrote down the groups as repeated addition: 6+6+6+6. How many pencils did Braydynn have in all?

Model #2: Set Model

A set model represents multiplication as groups of items with the same number of items in each individual group.

EXAMPLES:

Three boxes of crayons with ten crayons in each pack (3x10)

Seven bags of socks with eight socks in each bag (7x8)

Nine plates with two slices of pizza on each plate (9x2)

Fill in the Blanks

While Braydynn was getting everyone's supplies ready for school, Haydynn was making waffles for him and his three siblings. He made four waffles for each of their plates. How many waffles did he make altogether?

Model #3: Array Model

An array model is similar to the set model because it shows a multiplication problem as groups of items. But this model is different from the set model because is arranges those items into rows (lines going left to right) and columns (lines going up and down).

EXAMPLES:

There were four rows of six teddy bears on the display at the toy store. (4x6)

The people running the meeting set up eight rows of nine chairs. (8x9)

Fill in the Blanks

At school, Jaedynn won a bag of bubble gum in a contest. Being the kind and generous person he is, he shared his winnings with his two brothers and his sister. Each of them received eight pieces of bubble gum. How many pieces of candy did Jaedynn have altogether?

Model #4: Number Line

The number line model shows a multiplication problem as a line split into segments of equal length. This model starts at ZERO and requires the user to use their ability to skip count in order to reach the "finish line" or the "end point".

Fill in the Blanks

Even though she is a third-grader, Shah'Niyy'Yahh was recruited to play on her school's football team. They had a game after school on Monday. Shah'Niyy'Yahh scored the game winning touchdown by jumping over the heads of seven defenders who were four yards apart from each other. How many yards did Shah'Niyy'Yahh run altogether to win the game for her team?

The End!

Thank you for participating in this lesson. The Southside Quads hope to see you again soon!