Mathematical Models - Multiplication

Mathematical Models - Multiplication

Intervention Math - Dr. Brewer

Objectives

• Learn how to use mathematical models to represent multiplication equations

• Identify the different types of models that can be used to represent multiplication

• Apply those mathematical models to different forms of operational problems.

Math is about patterns and patterns are what life is about....

K Devlin

Array's

• Represented by rows and columns and groups

• Represented by using shapes or objects

• Arrays are in everyday life. Example a muffin pan

• In multiplication arrays help to put sets together.

Multiple Choice

What is the equation for this array?

• 4 x 3 = 12

• 3 x 5 = 15

• 6 x 3 = 18

• 5 x 2 = 10

Array

• Besides dots what can we use to represent arrays?

• When is it best for us to use an array?

Array- Word Problems

Sammy has to plant apples. He was given 18 apples and had to plant the apples in 3 rows of 6. On the next slide which array represents this problem?

Area Models

• Similar to arrays

• Require grids

• Can be boxes to represent numbers

• Good when you are multiplying fractions

• Can be used for all operations

• Helps solve multiple digit by multiple digit numbers without the calculator.

Area Model - with Grids

• 10 x 10 = 100

• 7 x 10 = 70

• 4 x 10 = 40

• 4 x 7 = 28

• Add them together 100 + 70 + 40 + 28 = 238

• What is the equation?

• 17 x 14 = 238

Another Example of an Area Model

Make a larger block to represent the tens place and then multiply.

Make a place for the ones place and then multiply each one by the corresponding 10's place and the one's place.

Bar Model

Represented by numbers

Repeated addition

Used in multiplicative comparisons

Number Line

Skip Counting

Any Questions?

Poll

What did you think about this lesson?

• I liked it

• I did not understand it I need help

• I got some of it but I need more help

Poll

EXIT TICKET

Of the 4 ways to represent multiplication which one is the easiest for you?

• Array

• Area Model

• Bar Model

• Number Line