Introduction to Ratios & Proportional Relationships
Common Core State Standards
Math 
Math 
6 
Grade 6 
RP 
Ratios & Proportional Relationships 
A 
Understand ratio concepts and use ratio reasoning to solve problems 
3 
Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. For example, 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? 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. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. 
Download Common Core State Standards (PDF 1.2 MB) 

Tch SpecialCollaborating to Develop Mathematical Ideas: Series OverviewAll Grades / Math / Collaboration
 417
 8

Lesson Idea  Common CorePreparation for Fraction MultiplicationGrades 35 / Math / ScaffoldingMath.5.NF.B.4 / Math.5.NF.B.6
 178
 13

Planning/CollaborationReflecting on Teaching & Learning About FractionsGrades 35 / Math / Teacher CollaborationMath.5.NF.B.4 / Math.5.NF.B.6
 111
 2

Lesson Idea  Common CoreApplying Understanding of Ratios to FractionsGrades 68 / Math / ModelingMath.6.RP.A.2 / Math.6.RP.A.3 / Math.7.RP.A.2
 17
 7

Planning/CollaborationReflecting on Teaching & Learning About RatiosGrades 68 / Math / Teacher CollaborationMath.6.RP.A.2 / Math.6.RP.A.3 / Math.7.RP.A.2
 14
 10

Planning/CollaborationHigh School Mathematical ModelingGrades 912 / Math / PD
 76
 2

Lesson Idea  Common CoreModeling & Graphing RealWorld SituationsGrades 912 / Math / FunctionsMath.HSFIF.B.5
 26
 8

Lesson Idea  Common CoreReflecting on Teaching & Learning: ModelingGrades 912 / Math / Teacher CollaborationMath.HSFIF.B.4
 1
 6

Planning/CollaborationCollaborative Lesson PlanningGrades 912 / Math / FunctionsMath.HSFIF.B.4
 26
 7
Lesson Objective
Create a model to show how two values compare to one another
Length
8 min
Questions to Consider
 How does modeling help students develop an understanding of proportional relationships?
 What kinds of manipulatives do students work with?
 If you were Ms. Morey, what would you teach these students next?
Common Core Standards
Math.6.RP.A.3
Watch all the videos in this series:
Collaborating Around Math: Before, During, and After Lessons
Developing a Math Team: Online and In Person
Teacher & School Info

Crystal Morey
 School Details
 Enumclaw Middle School Enumclaw, WA
 Population
 460 students
 District Spending
 $8,204
Supporting Materials

Introduction to Ratios & Proportional Relationships Transcript

IM Lesson Plan: 6th Grade.PDF

Illustrative Mathematics