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.
Math
Unit 2
6th Grade
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)
For guidance on adjusting the pacing for the 20212022 school year, see our 6th Grade Scope and Sequence Recommended Adjustments.
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This assessment accompanies Unit 2 and should be given on the suggested assessment day or after completing the unit.
Model  Example  
Double number line  For every 2 cups of milk, there are 3 cups of flour. 

Ratio table  A turtle travels 3 feet every 9 seconds.


Tape diagram  The ratio of girls to boys in a 6th grade class is 4 to 5. 
unit rate
conversion rate
customary system
metric system
rate
ratio
equivalent ratio
percent/ percentage
To see all the vocabulary for this course, view our 6th Grade Vocabulary Glossary.
To see all the materials needed for this course, view our 6th Grade Course Material Overview.
Topic A: Defining Rate & Solving Rate Problems
Topic B: Measurement Unit Conversions
Topic C: Percent
Key
Major Cluster
Supporting Cluster
Additional Cluster
CCSS.MATH.PRACTICE.MP1 — Make sense of problems and persevere in solving them.
CCSS.MATH.PRACTICE.MP2 — Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP3 — Construct viable arguments and critique the reasoning of others.
CCSS.MATH.PRACTICE.MP4 — Model with mathematics.
CCSS.MATH.PRACTICE.MP5 — Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP6 — Attend to precision.
CCSS.MATH.PRACTICE.MP7 — Look for and make use of structure.
CCSS.MATH.PRACTICE.MP8 — Look for and express regularity in repeated reasoning.
Unit 1
Understanding and Representing Ratios
Unit 3
MultiDigit and Fraction Computation