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# Illustrating Mixed Number Sums with Tape Diagrams

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Students will be able to add unlike mixed numbers using tape diagrams.

(5 minutes)
• Tell your kids that things are easier to do when theyâ€™re listed in a few easy-to-follow steps.
• Have them think, pair, and share something they could describe in four, easy-to-follow steps. Walk around the room to listen in on student shares.
• Share out to the class a few great examples you overheard and connect that todayâ€™s math lesson. Draw a connection by telling your class that todayâ€™s math lesson involves performing a task in four, easy-to-follow steps.
• Review the associative property of addition involving mixed numbers with your class, (Aab + Bcd) = (A + B) + (ab + cd) and answer any clarifying questions.
(10 minutes)
• Tell your students that theyâ€™ll be learning how to find mixed number sums using tape tape diagram solutions.
• Display the Problems, Fractions, and Tape Diagrams worksheet and preview the four-step procedure.
(10 minutes)
• Perform the first exercise with your students and answer any clarifying questions.
(15 minutes)
• Have your class complete the remaining exercises.

Support

• Pull a small group of emerging students and include a stronger student as a teacherâ€™s apprentice. Get the group going then check in on other students throughout independent work time. Check in repeatedly to be sure the group is on track.

Enrichment

• Challenge advanced students to demonstrate the four-step procedure with subtraction.
• Taking photographs of real-time solutions then uploading them into online documents for classroom discussion is a great resource for teachable moments.
(5 minutes)
• Show your students a table showing the least common multiple for 9 and 3.
• Have your students explain a possible expression and tape diagram solution.
(10 minutes)
• Share out solutions with the whole class.
• Discuss: What clues does a sum give us about its addends?

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