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 grades, 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)
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The following assessments accompany Unit 2.
Have students complete the PreUnit Assessment and PreUnit Student SelfAssessment before starting the unit. Use the PreUnit Assessment Analysis Guide to identify gaps in foundational understanding and map out a plan for learning acceleration throughout the unit.
Have students complete the MidUnit Assessment after lesson 7.
Use the resources below to assess student mastery of the unit content and action plan for future units.
Use student data to drive your planning with an expanded suite of unit assessments to help gauge students’ facility with foundational skills and concepts, as well as their progress with unit content.
Unit Launch
Prepare to teach this unit by immersing yourself in the standards, big ideas, and connections to prior and future content. Unit Launches include a series of short videos, targeted readings, and opportunities for action planning.
Model  Example  
Double number line  For every 2 cups of milk, there are 3 cups of flour. 

Table of equivalent ratios  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. 
conversion rate
customary system
equivalent ratio
metric system
percent/ percentage
rate
ratio
unit rate
To see all the vocabulary for Unit 2, 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