Multiplication Arrays and Area Models

Standard:
4.NR.2.3- Solve relevant problems involving multiplication computation using rectangular arrays (bar models), an equation, or area model


Learning Target:
Today I am learning to solve problems involving the multiplication of a number with up to four digits by a 1-digit whole number or involving the multiplication of two two-digit numbers using strategies based on area models. 

Sucess Criteria: I can...
use area models to multiply!

An area model is a rectangular diagram used in mathematics to solve multiplication problems!

(A strategy for multi-digit multiplication)

​

​What is an area model?

Area Models use...

• ​partial products to help find the total product of our multiplication equation!

• place value to make multiplying easier!

​Area Model- 2 digit by 1

​
Let's look at a step by step example!

​How do I create an area model when multiplying 3 digits by a 1 digit number?

• ​Draw your rectangle.

• Break apart your numbers using place value. (expanded form)

• Multiply using each value and record your partial products in your model.

• Add all of your partial products to get the total product!

​Now let's look at multiplying 4 digits by 1 digit!

​7 x 1,328 =

​Let's complete one together!

Your turn...

​Let's answer each question.

How well do you understand area models?

Multiple Choice

What is the missing partial product from the equation 3 x 245 = ?

• 150

• 15

• 8

• 2

Multiple Choice

What is the total product?

• 15
• 600
• 735
• 120

Multiple Select

What multiplication equation can be written using the model?

• 3 x 2,045

• 3 x 645

• 245 x 3

• 3 x (200 + 40 + 5)

Fill in the Blanks

Type the partial product that is missing from the model?

Fill in the Blanks

Use the area model to help you solve the following equation.

5 x 7,533 =

Type your total product below.

You just might be...

​An area model pro!

Keep on working!!!