Grade Level/ Course: 6 th Grade
Standard:
Domain:
6.RP.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. a. 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. 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.
Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems.
Type: ______Knowledge __X___Reasoning ______Performance Skill ______Product
Knowledge Targets
Make a table of equivalent ratios using whole numbers.
Find the missing values in a table of equivalent ratios.
Plot pairs of values that represent equivalent ratios on the coordinate plane.
Know that a percent is a ratio of a number to 100.
Find a % of a number as a rate per
100.
Reasoning Targets
Use tables to compare proportional quantities.
Solve real-world and mathematical problems involving ratio and rate, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Apply the concept of unit rate to solve real-world problems involving unit pricing.
Apply the concept of unit rate to solve real-world problems involving constant speed.
Solve real-world problems involving finding the whole, given a part and a percent.
Apply ratio reasoning to convert measurement units in real-world and mathematical problems.
Performance Skills Targets Product Targets
Copyright © 2011 Kentucky Department of Education multiplying or dividing in real-world and mathematical the express, written permission of the KDE problems.

Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Copyright © 2011 Kentucky Department of Education
The content of this document constitutes original works of authorship owned by the Kentucky Department of Education (KDE) and may not be reproduced without the express, written permission of the KDE
.