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Content Area Standard Strand Content Statement Math 4.6 Grade 6 RP. Ratios and Proportional Relationships CPI# Cumulative Progress Indicator (CPI) ACSSSD Objectives Understand ratio concepts and use ratio reasoning to solve problems. 4.6.RP.1 4.6.RP.2 4.6.RP.3 a. Understand the concept of a 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 two wings there was a beak.” “For every vote candidate A received, candidate C received nearly three votes.” 1. Match equivalent ratios. 2. Identify ratios. 3. Identify the ratio that represents a given situation. 4. Demonstrate an understanding of ratio relationships. 5. Describe ratio relationships between two quantities. 6. Demonstrate an understanding that mathematical symbols can be used to represent mathematical concepts. Understand the concept of a unit rate a/b 1. Refer to the ACSSSD Objectives of 4.6.RP.1 for the prerequisite skills needed to complete associated with ratio a:b with b 0, and use rate this CPI. language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of 2. Define rate. flour to 4 cups of sugar, so there is ¾ cup of flour 3. Define unit rate. 4. Demonstrate an understanding of rate for each cup of sugar.” “We paid $75 for 15 language (each, per). hamburgers, which is a rate of $5 per hamburger.” 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. 1. Identify equivalent ratios. 2. Demonstrate the ability to make tables to display data. 3. Identify missing values in a table. 4. Find missing values using ratio reasoning. 5. Plot a point on a coordinate plane when given the coordinate. 6. Read a table of equivalent ratios. c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. 1. Identify parts and the whole in the context of a ratio. 2. Match percentages. 3. Identify percentages. 4. Demonstrate the understanding that percent is rate per 100. 5. Demonstrate the ability to solve multi-step problems.