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Ratios and Tape Diagrams: Solving Real-World Problems with Accuracy

This lesson focuses on using tape diagrams to solve real-world problems involving ratios. Students will complete a pre-test, solve problems independently, and aim for at least 80% accuracy in a Tic-Tac-Toe activity.

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Ratios and Tape Diagrams: Solving Real-World Problems with Accuracy

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  1. Do NOW: • (1) Take out your H.W. and notebook. • (2) Complete the Pre-test for Module 1 • You will have 20 minutes to complete this task.

  2. Today’s Objective: • I will be able to use tape diagrams • So I can solve real world problems when given a ratio between two quantities and a change to those quantities that also changes the ratio. • I will demonstrate my understanding by completing at least 3 problems to form a Tic-Tac-Toe with at least 80% accuracy. • 6.RP.A.1 6.RP.A.3

  3. Language Objective • By the end of the lesson I will be able to the language domains of listening, reading and writing to demonstrate my knowledge of ratios so I can draw tape diagrams to solve real world problems. • I will show my understanding by reading the real world problem and by writing the solution to at least 3 problems independently to complete a Tic-Tac-Toe with at least 80% accuracy. • Academic Math Language Vocabulary: • Ratios, tape diagram, part-to-part, part-to-whole

  4. Before Maple Oak After Maple Oak If there were 132 oak trees, each box would be 12 trees (132/11 = 12). If each box is 12, then 9x12=108 maples beforehand, and 3x12=36 maples afterwards. Therefore, there were 72 more maple trees before the bug problem than after.

  5. Tic-Tac-Toe (20 minutes) Students will work independently to select and solve 3 problems that will form a tic-tac-toe (horizontal, vertical, or diagonal line). Solve the problems in your notebook.

  6. How do you feel? topic.

  7. Solve a second tic-tac-toe (solve at least 2 or 3 more problems)

  8. Accommodations • Read or reread presentation or activity directions, as needed • or after prompting • Use examples to model and act as a guide for emerging learners

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