Students investigate rates and percentages by identifying the rates associated with a ratio, defining a percent as a rate per 100, and applying strategies to solve rate and percent problems.
In Unit 2, sixth grade students continue and extend their study of ratios to investigate rates and percentages. Using their knowledge of ratios, students will learn to identify two rates associated with a ratio and use them as efficient strategies to solve rate problems. Students will draw on their prior knowledge of the two measurement systems, and see unit conversions as applications of ratio and rate problems. Lastly, students will define a percent as a rate per 100, and understand that the strategies you use to solve a rate problem can also be applied to solve a percent problem. Throughout the entire unit, students will draw on their ability to reason abstractly and quantitatively (MP.2). As they work with different unit rates and conversion factors, students will need to attend to the units at hand, what the quantities mean, and how all of the pieces fit together. Calculators are recommended for several lessons in order to provide students with the option to use the tool in their calculations (MP.5).
In fourth and fifth grade, students interpreted fractions as division problems and began to make the connection between fractions and decimals. They multiplied fractions by whole numbers and other fractions in context of realworld problems, and they reasoned about what happens to a quantity when you multiply it by a number greater than one or less than one. Sixth grade students will draw on these prior skills and understandings as they make connections between unit rates and fractions, and between fractions, decimals, and percentages.
Beyond this unit, sixth grade students will revisit percentages in Unit 6 when they study equations as another strategy to solve percent problems. In seventh grade, students will solve even more complex ratio, rate, and percent problems involving, for example, tax and percent increase or decrease. Seventh graders will investigate and analyze proportional relationships between quantities, and use more efficient and abstract methods to solve problems. For example, in seventh grade, students will learn to set up and solve proportion equations, using their knowledge of unit rates and equivalent ratios. (Note that using proportions to solve ratio or rate problems is not an expectation in sixth grade).
Pacing: 19 instructional days (14 lessons, 4 flex/review days, 1 assessment day)
This assessment accompanies Unit 2 and should be given on the suggested assessment day or after completing the unit.
Additional assessment tools to help you monitor student learning
and identify any skill or knowledge gaps.
Learn how to use these tools with our
Guide to Assessments
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unit rate
conversion rate
customary system
metric system
rate
ratio
equivalent ratio
percent/ percentage
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Double number line 
Example: For every 2 cups of milk, there are 3 cups of flour. 

Ratio table 
Example: A turtle travels 3 feet every 9 seconds.


Tape diagram 
Example: The ratio of girls to boys in a 6th grade class is 4 to 5. 
6.RP.A.3
6.RP.A.3.B
Investigate and use rate in realworld situations.
6.RP.A.2
6.RP.A.3.B
Define rate and unit rate, and find rates from situations involving ratios.
6.RP.A.2
6.RP.A.3.B
Find unit rates and use them to solve problems.
6.RP.A.3.B
Compare situations using unit rates, including speed, price, and work problems.
6.RP.A.2
6.RP.A.3
6.RP.A.3.B
Solve challenging problems involving unit rate.
6.RP.A.3.D
Reason with measurement units and solve unit conversion problems using different strategies.
6.RP.A.3.D
Solve measurement unit conversion problems.
6.RP.A.3.C
Define percent as a rate per 100. Find percentages of 100 and 1.
6.RP.A.3.C
Solve percent problems using benchmark fractions and percentages, with and without written work.
6.RP.A.3.C
Convert between fractions, percent, and decimals.
6.RP.A.3.C
Find a percent of a quantity.
6.RP.A.3.C
Find the whole quantity, given a part and percent.
6.RP.A.3.C
Solve percent problems, including finding percent when given a part and a whole.
6.RP.A.2
6.RP.A.3
6.RP.A.3.C
6.RP.A.3.D
Solve multistep problems involving rate and percent.
Key: Major Cluster Supporting Cluster Additional Cluster
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