Guided Lessons

# Multiplying Whole Numbers and Fractions: Illustrated!

Give your students insight into what’s going on when you multiply a whole number and a fraction! Use this lesson plan to teach your students to illustrate products of whole numbers and fractions using number lines.

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No standards associated with this content.

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No standards associated with this content.

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Students will be able to illustrate products of whole numbers and fractions using number lines.

(5 minutes)
• Have your students think, pair, and share an answer to the following question: What kinds of things can number lines show us?
• Note student responses for future reference.
• Explain to your class that today’s lesson teaches how to use number lines to illustrate the product of whole numbers and a fractions.
(10 minutes)
• Hand out the Illustrating Whole Number and Fraction Multiplication worksheet and and preview the two-step process.
(10 minutes)
• Lead your class through the two-step process for exercises 1, 6, and 11 of the Illustrating Fraction and Whole Number Multiplication worksheet. Answer any clarifying questions.
(15 minutes)
• Have your students complete the remaining exercises of the Illustrating Fraction and Whole Number Multiplication worksheet individually.

Support

• Add exercises 2, 7, and 12 to the guided lesson section, allowing students to hand off to one another during exercise solutions.

Enrichment

• Have students multiply whole numbers by larger unit fractions (i.e. instead of 8 x 1/3 or 1/5, try fractions like 2/3, 3/5, or 4/7).
• Document cameras and or computers with projectors make for a great setup to display lesson materials in an interactive way on whiteboard using dry erase markers.
(5 minutes)
• Show your student a number line illustrating 7 x ⅓ and have them explain the multiplication equation it represents.
(10 minutes)
• Review the answers whole class.
• Discuss: What kinds of InsightsCan we gain from solutions illustrated with number lines?