Launching Fractions? Begin With Concrete Real Life Representations!

In the world of mathematics, fractions often emerge as a challenging math concept, so how do we, as teachers, begin a fraction unit with our students?  The secret, I believe, is to begin by exploring the use of fractions in our daily lives.  

By integrating real-life examples of fractions into or lessons, fractions begin to make more sense to students.  When they see the relevance, they are naturally more engaged.

Fractions are often such an abstract concept to many students, but real-life examples provide concrete contexts for abstract mathematical concepts. For instance, understanding that a half of a pizza means dividing it into two equal parts makes the abstract concept of ‘1/2’ more tangible and easier to grasp.

Applying fractions to solve real-life problems enhances critical thinking and problem-solving skills. For instance, figuring out how to divide a recipe into smaller portions requires understanding and manipulating fractions.

In addition, working with fractions in daily life helps students develop a strong number sense. They begin to understand the size of fractions, how they relate to each other, and how they fit into the number system as a whole.

I recommend laying a strong foundation for fractions before starting the actual fractions unit. A few weeks in advance I begin to incorporate fractions into everyday classroom activities and discussions. 

For instance, during a reading session, I might might ask students how much of the book they’ve completed, fostering an intuitive understanding of fractions as parts of a whole. In art, the teacher might divide paper or canvases into fractions to create symmetrical designs which can visually demonstrate the concept. During snack time or lunch, teachers can use food items like pizzas or sandwiches to illustrate fractions in a tangible manner. Integrating fractions into story problems in math lessons about other topics can also help. This approach not only primes students for the upcoming unit but also shows them the practical, every day use of fractions, making the formal introduction smoother and more relatable.

It is equally important to introduce the language of fractions beforehand as well.  Teachers that intentionally work to build their students’ vocabulary knowledge Use terms like “half,” “quarter,” “third,” “parts,” “whole,” and “divide” in everyday classroom dialogue. For instance, a teacher might refer to cutting a cake into equal parts, thereby naturally introducing the words “halves,” “thirds,” or “quarters.”

In storytelling or during class discussions, phrases like “a fraction of the group” or “a portion of the time” can be used. This familiarization with fraction terminology in context helps students develop an intuitive grasp of the concept, making the transition to formal fraction lessons more seamless and understandable. By embedding this language in routine classroom activities, students become accustomed to thinking in terms of fractions, setting a solid foundation for the more technical aspects of fractions they will encounter later.

By integrating fraction examples and vocabulary into daily conversations, storytelling, and practical activities, teachers can make the abstract concept of fractions more concrete, accessible and relatable for students.

It’s crucial for educators to recognize the value of this approach and intentionally incorporate fraction language and examples into their teaching practices. 

As teachers we can make fractions a natural part of our students’ learning journey, simply by laying the groundwork for their future success in math.

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