Intervention Resources 6.RP.1 DRAFT Updated 5/29/2013 Intervention Resources Tier 2 Intervention -- 6.RP.1 Focus Standard: Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.” Decision Making Guide for 6.RP.1 When and with whom do I intervene around 6.RP.1? 1. Fall: Beginning of the school year for 7th and 8th grade students who have been identified by RIT scores* that fall within the 6th grade NWEA National Norms and after Critical Point Diagnostic Assessment has been administered and reviewed. *Refer to Spring of previous year RIT score. th 2. Winter: 7 Grade students who are not demonstrating proficiency with 7.RP.1 after Tier 1 differentiated instruction is complete. 3. Spring: 6th grade students that are not demonstrating proficiency with 6.RP.1 after Tier 1 differentiated instruction is complete. Attending to prerequisite skills: 6.RP.1 builds from the following 4th and 5th grade standards. If student readiness demonstrates a need to go even further back than 6.RP.1, these are recommended. Follow the links for suggested activities. Grade 4 – Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.OA.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. http://www.k5mathteachingresources.com/supportfiles/representing-multiplicativecomparison-problems.pdf Solve using tape diagrams. 4.OA.2. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.1 http://www.k5mathteachingresources.com/supportfiles/multiplicativecomparisonproblems. pdf Solve using tape diagrams. Grade 5 – Operations and Algebraic Thinking Analyze patterns and relationships. 5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. http://www.k5mathteachingresources.com/suppo rtfiles/additiononthecoordinateplane. pdf Use this activity as a starting point. Use visual models when possible to demonstrate the two patterns. Grade 5 – Number and Operations: Fractions 5.NF.5. Interpret multiplication as scaling (resizing), by: a. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. b. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1. http://www.k5mathteachingresources.com/supp ort-files/multiplication-and-scaleproblems.pdf Conceptua Big Idea 8 Topics 1-4 address consistently address 5.NF.5. Topic 3 would be considered a good review for this standard. The Multiplying Fractions Tool would also be appropriate to support this standard. Intervention Resources 6.RP.1 DRAFT Updated 5/29/2013 Resources for 6.RP.1 Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.” Resource #1 Write a ratio to compare 2 quantities Write and simplify equivalent ratios https://s3.amazonaws.com/quantile-resources/resources/downloads/QuantileResource42008.pdf Resource #2 Write a ratio to compare 2 quantities https://s3.amazonaws.com/quantile-resources/resources/downloads/QuantileResource42006.pdf Resource Inside Mathematics Task: Truffles http://insidemathematics.org/common-core-math-tasks/6th-grade/6-2009%20Truffles.pdf Also referenced in 6.RP.2 Resource #4 Illustrative Mathematics Task: Games at Recess http://www.illustrativemathematics.org/illustrations/76 Resource #5 Inside Mathematics Task: The Escalator http://www.illustrativemathematics.org/illustrations/1181 Also referenced in 6.RP.1 Resource #6 Van de Walle Professional Development Series Activity 11.1: Birthday Cupcakes p. 200 Resource #7 Van de Walle Professional Development Series Stop and Reflect: Proportional and Nonproportional Situations p. 201-202 #1-3 Resource #8 Van de Walle Professional Development Series Activity 11.2: Which Has More? p. 202-203 Resource #9 Van de Walle Professional Development Series Activity 11.3: Weight Loss p. 203 Intervention Resources 6.RP.1 DRAFT Updated 5/29/2013 Resource #10 Van de Walle Professional Development Series Stop and Reflect: Additive and Multiplicative Comparisons in Story Problems p. 203-204 There could be more resources from the Van de Walle book. I stopped on p. 211.