Multiplying Fractions and Mixed Numbers by Whole Numbers Lesson Plan

Introduction

As a hook, ask students if they have ever shared or doubled a recipe, and how they might figure out the new amounts of ingredients if the recipe calls for fractions of a cup or spoonful. Encourage students to think about why multiplying fractions by whole numbers might be useful in real life. Refer to the last page of the guided notes as well as the FAQs below for more ideas and sample questions.

Use the first page of the guided notes to introduce multiplying unit fractions by whole numbers. Walk through defining unit fractions and demonstrating how repeated addition relates to multiplication of fractions by whole numbers. Highlight key points such as multiplying the numerator by the whole number while keeping the denominator the same, and check for understanding using the embedded questions. Refer to the FAQ below for strategies on addressing common student misconceptions, like confusing numerator and denominator roles during multiplication.

Use the second page of the guided notes to introduce multiplying non-unit fractions and mixed numbers by whole numbers. Guide students through converting mixed numbers to improper fractions before multiplying. Emphasize step-by-step strategies for converting mixed numbers, multiplying, and then simplifying the result. Use the doodles and visual aids on the page to reinforce these concepts. Refer to the FAQ below for detailed explanations on how to clarify when to convert and how to simplify answers.

If students struggle with any of these foundational concepts, provide targeted reteaching either as a group or in small groups depending on class size and needs. For students who show proficiency during the checks for understanding, suggest they start working on the practice worksheet independently while you support those needing extra help.

Practice

Have students practice multiplying fractions and mixed numbers by whole numbers 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 multiplication of fractions and mixed numbers by whole numbers in real-world scenarios such as cooking, where recipes often need to be scaled up or down. For example, if a recipe calls for 1 1/2 cups of flour and you want to make three times the amount, you multiply 1 1/2 by 3 to find the total flour needed. 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 multiplying fractions by whole numbers, 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:

• Multiplying Fractions by Whole Numbers Word Problems Halloween Digital Pixel Art