Decomposing Fractions Lesson Plan

Introduction

As a hook, ask students why it might be helpful to break apart a fraction into smaller pieces. For example, ask: “Have you ever shared a pizza or cake and needed to describe the slices in different ways? How can breaking fractions into parts help with that?” Refer to the real-life application page at the end of the guided notes and the FAQs below for more ideas on engaging students with this question.

Use the first page of the guided notes to introduce the concept of decomposing fractions by numerators. Walk students through how to break a fraction like 3/8 into sums of unit fractions (such as 1/8 + 1/8 + 1/8). Emphasize that the numerator tells us how many unit fractions make up the whole fraction. Refer to the FAQs below for strategies to clarify this idea and common student questions, such as confusion about what a “unit fraction” is.

Use the second page of the guided notes to introduce decomposing fractions using both numerators and denominators. Help students understand that fractions can be decomposed into parts that are not only unit fractions but also smaller non-unit fractions (for example, 3/4 = 1/4 + 2/4). Walk through examples comparing different decompositions and showing how denominators relate to the size of the pieces. Refer to the FAQs for tips on explaining the role of denominators and addressing misconceptions about equivalency.

Throughout the introduction, use the checks for understanding embedded in the guided notes to assess student grasp. Based on their responses, reteach the decomposing strategies students find challenging. For classes with mixed proficiency, consider grouping students needing extra support for reteaching, while inviting more advanced students to begin exploring the practice problems independently.

Practice

Have students practice decomposing fractions using the color by code practice worksheet. Walk around to answer student questions.

Fast finishers can dive into the maze activity for extra practice. You can assign it as homework for the remainder of the class.

Real-Life Application

Bring the class back together, and introduce the concept of using decomposing fractions to solve real-world problems such as sharing recipes, dividing materials in crafts, or measuring ingredients in cooking. Explain how breaking down fractions into smaller parts can make it easier to understand portions and comparisons in everyday situations. Refer to the FAQ for more ideas on how to teach it!

Extensions

Additional Self-Checking Digital Practice

If you’re looking for digital practice for decomposing fractions, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.

Here’s 1 activity to explore:

• Decomposing Fractions 4th Grade Digital Pixel Art Decompositions Sums