6.AT.A: Understand ratio concepts and use ratio reasoning to solve problems.

Understand ratio concepts and use ratio reasoning to solve problems.

6.AT.A.1Use ratio language in context (e.g., “__ to __,” “for every,” “per”) to describe a ratio relationship between two quantities, including part to part and part to whole (e.g., "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." )6.AT.A.2Represent and use unit rates, written as fractions (a/b, b ≠ 0) with whole number numerators and denominators, in context. a. Use unit rate language in the context of a ratio relationship (e.g., “The recipe has a ratio of 3 cups of flour to 4 cups of sugar so there is 3/4 cup of flour for each cup of sugar.”) b. Solve unit rate problems, for example those involving unit pricing and constant speed (e.g., “If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?”).6.AT.A.3Use ratio and rate reasoning to solve problems in context by reasoning about tables of equivalent ratios, tape diagrams, double number lines, or the Coordinate Plane. a. Generate, compare and find missing values of equivalent ratios and unit rates using multiple representations. b. Plot the pairs of values on the Coordinate Plane (in quadrant 1) to represent unit rates and make connections between representations. c. Use ratio reasoning to convert measurement units (e.g., money, time, length within the same system); manipulate and transform units appropriately when multiplying or dividing quantities.6.AT.A.4Find a percent of a quantity in context as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity), including finding the whole given a part and the percent, by using tables, tape diagrams, and double number lines.

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