How to Multiply Fractions with Area Models

Are your students struggling to grasp the concept of multiplying fractions? Teaching your students how to multiply fractions with area models can help! With area models, students can visualize and understand the process of multiplying fractions in a whole new way. By using area models as a teaching tool, teachers can provide students with a clear and engaging visual representation of fraction multiplication. Not only does this help students understand the process, but it also gives them the confidence needed to tackle more challenging mathematical problems. In this post, we’ll explore how to multiply fractions with area models and provide some helpful tips for incorporating this technique into your math lessons.

What are Area Models?

Area models are visual representations used to demonstrate the relationship between the parts and the whole of a mathematical concept. In the context of fractions, an area model is a diagram that represents the multiplication of two fractions by dividing a rectangle or other shape into smaller equal parts. The numerator of each fraction represents the number of parts shaded within the rectangle, while the denominator of each fraction represents the total number of equal parts within the rectangle. By using area models, students can visualize and understand the concept of fraction multiplication and relate it to real-world situations where fractions are used. Area models are an effective tool for teaching fractions, as they provide a clear and engaging visual representation that can help students grasp difficult concepts.

Multiply Fractions with Area Models

Transparent fraction models that were able to overlap to see the area models multiply were created using overhead transparency film found in the classroom. Fraction models were printed onto the film and then cut out. I started the lesson by modeling how to multiply fractions using the area model with an online interactive called GeoGebra Multiplying Fractions.

Hands-On Multiply Fractions with Area Models

Next, I demonstrated how to use the fraction transparency models with a document camera. After the demonstration, students were given the opportunity to work with the fraction models on their own and I had them write and solve their own multiplication problems using the transparent fraction models. Next, I provided area model problem pages for the students to use the models to create and solve problems and then draw the models and the product.

Task cards were created that included fraction models for students to practice multiplying and creating area models with fractions using the area models. The task cards also provided an opportunity for students to practice drawing the area models.

I also created task cards to match fraction multiplication expression with the area model. These matching task cards give my students another way to practice the concept.

Interested in teaching your students how to multiply fractions with area models using hands-on fraction models? I created a printable resource with fraction models, task cards, and matching cards, Multiply Fractions with Area Models.

I’ve also created a digital version, Digital Multiply Fractions with Area Models with a Google Forms assessment. The digital version uses Google Slides with moveable transparent fraction models for students to manipulate and multiply fractions. The digital version is a great option if printing on transparency film is not available to you.

Multiplying fractions with area models can be a valuable tool for students to visualize and understand the concept of fraction multiplication. By breaking down the fractions into smaller units and representing them as a visual model, students can better grasp the concept and develop a deeper understanding of fractions. So don’t hesitate to give it a try and discover the power of multiplying fractions with area models for yourself.