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# Division as Multiplication Using Number Lines

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Students will be able to illustrate division as multiplication using number lines.

(5 minutes)
• Show the following expression to your students: 12 Ã· 5.
• Have them think, pair, and share how this expression is related to multiplication.
• Have students share with the whole class. Ask students to draw connections of how this expression can be rewritten as an improper fraction: 12/5.
• Further note to your class that since 12/5 = 12 x 1/12, it follows that 12 Ã· 5 = 12 x 1/12.
• Answer any clarifying questions and announce that this translation is central to todayâ€™s lesson.
(10 minutes)
• Hand out and preview the Modeling Division Using Number Lines worksheet with your students.
(10 minutes)
• Model exercises 1, 6, 11, and 16 with your class. Be sure to answer any clarifying questions.
(15 minutes)
• Have your students complete the remaining exercises on the Modeling Division Using Number Lines worksheet.

Support: what to change

Enrichment: what to change

• Projectors make for a great setup to display lesson materials in an interactive way on whiteboard using dry erase markers.
(5 minutes)
• Show your students a number line that shows 9 x 1/7 and ask them to describe the division expression and its quotient.
(10 minutes)
• Have students share out their answers and explanations whole class and:
• Allow peers to challenge answers in dispute to offer alternative of correct answers.
• Have students phone a friend for assistance with answer explanations if they need help.

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