Engaging students: Multiplying fractions

In my capstone class for future secondary math teachers, I ask my students to come up with ideas for engaging their students with different topics in the secondary mathematics curriculum. In other words, the point of the assignment was not to devise a full-blown lesson plan on this topic. Instead, I asked my students to think about three different ways of getting their students interested in the topic in the first place.

I plan to share some of the best of these ideas on this blog (after asking my students’ permission, of course).

This student submission again comes from my former student Saundra Francis. Her topic, from Pre-Algebra: multiplying fractions.

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How could you as a teacher create an activity or project that involves your topic?

 

This multiplying fractions project found on Teachers Pay Teachers by Mix and Match gets students interested in the topic through creating a dog house. For the project students have to use the size of their chosen dog to discover the dimensions of the doghouse. The students will then scale down their doghouse by multiplying fractions to create a model doghouse. Once the students have discovered the dimensions of the model they can build the model doghouse. There are worksheets provided on the website that will guide the students through this process, the also have word problems related to the doghouse for extra multiplying fractions practice. This project would engage students because they will be able to create their own doghouse and they will be given an opportunity to build it. It also will help students understand how to multiply fractions through working out how it relates to scaling items.

 

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How does this topic extend what your students should have learned in previous courses?

 

In previous math course students should have learned how to multiply, reduce fractions to the simplest form, and how to covert mixed numbers to improper fractions. Using these concepts students will be able to multiply fractions based on previous understanding of fractions and multiplication. A YouTube video titled Review of Fraction Concepts created by mathtutordvd (https://www.youtube.com/watch?v=7Wrde6iFVcA) reminds students what a fraction is and what it represents. It also reviews term such as numerator and denominator, which are important terms for students to know when they learn how to multiply fractions. This will engage students’ prior knowledge by giving them a refresher and will prepare them for learning how to multiply fractions. It also might help students that were previously having a hard time understanding the concept of fractions once they watch the video. It also discusses the important of fractions, which will help students realize how it can apply to their daily lives.

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How can technology (YouTube, Khan Academy [khanacademy.org], Vi Hart, Geometers Sketchpad, graphing calculators, etc.) be used to effectively engage students with this topic?

The Multiplying Fractions Song by NUMBERROCK (https://www.youtube.com/watch?v=CcDGRLosAf0) is an excellent video to engage students and help them understand how to multiply fractions.. This video goes through two examples of multiplying fractions while rapping. The examples used about finding treasure and digging for dinosaur bones will catch students’ attention. The video not only gives student procedural knowledge, the steps to multiply fractions, but explains why we are able to multiply fractions through the images. They sing “multiply the numerator, then multiply the denominator” which students can repeat when they are working on problems later in the lesson. In the video, models are displayed that show students how to multiply using a model, which is part of the TEKS. The diagrams also show students why multiplication of fractions works and gives them a better understanding of the concept. The rap song and cartoon visuals draws students attention and help them remember the topic being learned.

References:

https://www.teacherspayteachers.com/Product/Multiplying-Fractions-Project-2351217

https://www.youtube.com/watch?v=7Wrde6iFVcA

https://www.youtube.com/watch?v=CcDGRLosAf0

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