Students begin their sixth grade year investigating with the concept of ratios. They use multiple forms of ratio language and ratio notation, and formalize understanding of equivalent ratios. Students apply reasoning when solving collections of ratio problems in real world contexts using various tools (e.g., tape diagrams, double number line diagrams, tables, equations and graphs).
6.RP.A.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."
6.RP.A.3 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.
Lesson 1: Introduction to Ratios (6.RP.1, 6.RP.3a)
Ratios PRACTICE PROBLEMS
Lesson 2: Equivalent Ratios (6.RP.3a)
Solving Problems by Finding Equivalent Ratios PRACTICE PROBLEMS
Lesson 3: Problem Solving with Ratios
Lesson 4: Ratio Tables (6.RP.3b)
Lesson 5: Comparing Ratio Tables
Comparing Ratios Using Ratio Tables PRACTICE PROBLEMS
Lesson 6: Representing Ratios with Equations (6.4B, 6.5A)
Lesson 7: Representing Ratios on the Coordinate Plane (6.6C)
Ratio (A pair of non-negative numbers, A:B, where both are not zero, and that are used to indicate that there is a relationship between two quantities such that when there are A units of one quantity, there are B units of the second quantity.)
Equivalent Ratios Two ratios that express the same relationship; all equivalent ratios can be simplified to the same ratio table.
Ratio Table (A table listing pairs of numbers that form equivalent ratios; see example under Suggested Tools and Representations.)
Proportion Two equal ratios
Scale Factor The ratio of two corresponding sides in a set of similar figures