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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 February 7, 2012 Connie Laughlin, Hank Kepner & Melissa Hedges. CCLM. Learning Intentions. Unpack a 6th grade CCSSM standard about ratios.

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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 February 7, 2012 Connie Laughlin, Hank Kepner & Melissa Hedges

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

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

  4. Grade 6: Standard 6RP3 Cluster Statement: Understand ratio concepts and use ratio reasoning to solve problems. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

  5. Let’s revisit Share your work for this problem from last week 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.

  6. Harder Ratio Problem Ali and Hassan each has an equal amount of money. If Ali gives 1/3 of his money to Hassan, what will be the ratio of Ali’s money to Hassan’s money? The ratio of the number of Melinda’s stickers to Sarah’s is 3:8. If Sarah gives ¼ of her stickers to Melinda, what is the new ratio of the number of Melinda’s stickers to Sarah’s?

  7. Comparing Three Quantities (1) The ratio of David’s weight to Raju’s weight to Ali’s weight is 8:5:4. If Raju weighs 30 kg, find the total weight of the three boys. Describe your thinking. How did it develop from previous ratio work?

  8. Time for More Harder Ratio Problems? The ratio of the number of beads in Box A to that in Box B was 6:5. After ½ of the beads in Box A were moved to Box B, there were 30 more beads in Box B than Box A. How many beads were there in Box A at first?

  9. Time for More Harder Ratio Problems? The ratio of John’s money to Peter’s money was 4:7 at first. After John spent half his money and Peter spent $60, Peter had twice as much money as John. How much money did John have at first?

  10. How does the use of strip diagrams support your understanding of ratios and ratio problems?

  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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