Caroline Farkas

# Using Area Models to Multiply in 4th Grade

Updated: Apr 13, 2022

**What are area models? **

An area model is a visual strategy to multiply using a rectangle picture or model. Larger numbers are broken down by place value to make it easier to multiply, and then the products are added back together to get the final product.

**Why are area models useful?**

Area models are useful because good mathematicians have multiple tools to solve different math problems. Area models can be used as a tool to solve multiplication and division problems. It allows you to break down larger numbers into smaller equations to make them easier to multiply. It also gives you a great visual representation to show your thinking to others and check your work.

**When should I teach area models?**

Area models are a great strategy to teach after students have grasped the basic concept of multiplication, but before you move on to standard algorithms. It shows students the relationship between place value and multiplication of large numbers. I suggest teaching students how to multiply large numbers in this order:

Basic multiplication concepts and facts

Multiplying using an area model

Partial products with or without the help of an area model

Standard multiplication algorithm

**What are some common misconceptions or mistakes students make with area models?**

1.__ Problems with place value__ - The first common mistake is students not breaking down numbers properly by place value. For example, if they were multiplying 243 x 6, they might just put 2 down instead of 200. Making sure students fully understand place value and the importance of zero as a placeholder will help!

2. __Not properly lining up the partial products to add__ - Students sometimes struggle to line up their partial products properly to add in order to find their final product. Have students check that they are using the proper standard addition algorithm and that they are adding correctly.

3. __Losing their place when multiplying__ - Students sometimes forget what numbers they have already multiplied. It helps if students write the partial products inside the area model so that they can see which portions they have completed, and which numbers they still need to multiply.

**Where can I find additional resources on area models?**

Check out this __multiplying using an area model video.____ __

Here is my __area model clipart set __to add to teaching resources and to print out so that students can use it as a template.

Want more information on teaching upper elementary math? __Sign up for our email list and get access to our free resource library!__