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The Use of Strip Diagrams to Deepen Understanding of Ratio and Rates

The Use of Strip Diagrams to Deepen Understanding of Ratio and Rates. CCLM Class January 31, 2012 Connie Laughlin, Hank Kepner & Melissa Hedges. Homework Debrief. Read pp. 15 – 22 in Developing Essential Understanding: Ratios, Proportions and Proportional Reasoning.

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The Use of Strip Diagrams to Deepen Understanding of Ratio and Rates

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  1. The Use of Strip Diagrams to Deepen Understanding of Ratio and Rates CCLM Class January 31, 2012 Connie Laughlin, Hank Kepner & Melissa Hedges

  2. Homework Debrief • Read pp. 15 – 22 in Developing Essential Understanding: Ratios, Proportions and Proportional Reasoning. • How did the examples and discussions of the problems help you understand how students develop understanding of ratios?

  3. Big Idea: Shift from One Quantity to Two Quantities Students need to make a transition from focusing on only one quantity to realizing that two quantities are important.

  4. CCLM Big Idea: From Additive to Multiplicative Comparisons • Students need to distinguish between an additive and multiplicative situation. • Students need to move from making additive comparisons to forming a ratio between two quantities.

  5. CCLM Learning Intentions • Deepen conceptual understanding of ratio and rates problems by using strip diagrams. • Unpack a 6th grade CCSSM standard about ratios.

  6. CCLM Success Criteria We will know we are successful when we can • Use various strategies to solve ratio and proportion problems. • Justify our thinking when solving problems involving ratio and proportion using strip diagrams. • Clearly explain and provide examples for specific CCSS standards

  7. Focusing on Structure Grape juice and peach juice are mixed in a ratio of 5 to 2. Keeping the same ratio of grape juice to peach juice, how many cups of grape juice should be added to 12 cups of peach juice. Solve this problem using ratio tables and an equation.

  8. Grade 6 Standard 6RP3 Cluster Statement: Understand ratio concepts and use ratio reasoning to solve problems. Read 6RP3a Divide your white board in half. • Rewrite in your words on one half. • Provide an example on the other.

  9. Solving Ratio Problems Using Strip Diagrams The ratio of the length of the red ribbon to the blue ribbon is 7:4. If the red ribbon is 21 cm long, find the length of the blue ribbon. Include the strip diagram, drawings, and equations.

  10. On your own… Draw strip diagrams to help you solve each problem. Explain your reasoning. • Edie and Mary shared $35 in the ratio of 4:3. How much money did Edie receive? • The ratio of the weight of Parcel X to the weight of Parcel Y is 5:3. If the weight of Parcel X is 40 pounds, find the total weight of the two parcels.

  11. CCLM Success Criteria We will know we are successful when we can • Use various strategies to solve ratio and proportion problems. • Justify our thinking when solving problems involving ratio and proportion using strip diagrams. • Clearly explain and provide examples for specific CCSS standards

  12. Standards for Mathematical Practice

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