SandHills Regional Education Consortium
Domain:6th Grade
Ratios and Proportional Relationships / Mathematical Practice(s):
· Use appropriate tools strategically.
· Attend to precision.
· Look for and make use of structure. / Level of Thinking:
Applying
Grade Specific Standard: 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.
Information Technology Standard:
6.TT.1.2 Select appropriate technology tools to organize data and information (e.g., word processor, database, spreadsheet, graphic organizer, audio and visual recording, online collaboration tools, etc.).
Clarifying Objectives: The learner will use ratio reasoning to solve real world unit rate problems using tables and graphs.
Task Analysis / Vocabulary
· Identify relationships in ratio tables to plot pairs of values from the tables
· Determine missing values of tables using ratios and cross-multiplication (set up a proportion)
· Make tables of equivalent ratios
· Use ratio and proportional reasoning to solve real world problems
· Set up unit rate problems correctly involving pricing and constant speed / Instruct
· Equivalent ratios
· Tape diagrams
· Double number line diagrams
· Proportional reasoning
· Percent
· 10 x10 grids
· Conversion
· Rate
· Percent
Instructional Resources:
Notes and Additional Information:
Anson County ~ Bladen County ~ Columbus County ~ Cumberland County ~ Ft. Bragg ~ Harnett County ~ Hoke County
Lee County ~ Montgomery County ~ Moore County ~ Richmond County ~ Robeson County ~ Scotland County ~ Whiteville City
Copyright (2012) – No portion of this document can be reproduced or used without the express permission of the Executive Director of the SandHills Regional Educational Consortium
SandHills Regional Education Consortium
Domain:6th Grade
Ratios and Proportional Relationships / Mathematical Practice(s):
· Use appropriate tools strategically.
· Attend to precision.
· Look for and make use of structure. / Level of Thinking:
Applying
Grade Specific Standard:
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.
Information Technology Standard:
6.TT.1.2 Select appropriate technology tools to organize data and information (e.g., word processor, database, spreadsheet, graphic organizer, audio and visual recording, online collaboration tools, etc.).
Clarifying Objectives: The learner will use ratio reasoning to solve real world unit rate problems using tables and graphs.
Task Analysis / Vocabulary / Time and Sequence
· Solve real world problems using rate reasoning
· Understand that percentages are a rate per 100
· Find the whole given a part and the percent
· Find a percent of a quantity using rate
· Convert metric measurement units using ratio reasoning
· Convert customary measurement units using ratio reasoning / · Metric system
· Customary units of measure
· Coordinate plane
· Equivalent fractions
Instructional Resources:
Notes and Additional Information:
Anson County ~ Bladen County ~ Columbus County ~ Cumberland County ~ Ft. Bragg ~ Harnett County ~ Hoke County
Lee County ~ Montgomery County ~ Moore County ~ Richmond County ~ Robeson County ~ Scotland County ~ Whiteville City
Copyright (2012) – No portion of this document can be reproduced or used without the express permission of the Executive Director of the SandHills Regional Educational Consortium
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