6th Grade
Ratio and Proportion
Key Understandings
KU1. Multiplicative relationship
KU2. Comparing two quantities or measures (part-to-whole or part-to-part)
KU3. Unit rates as a reference point (part-to-one)
KU4. Contextual problem-solving
KU5. Fractions, decimals, and percents
Key Understanding
Multiplicative relationship
6.RP.1
Know
Understand the concept of a
ratio
Do
Use ratio language to
describe a ratio relationship
between two quantities
Comparing two quantities or
measures (part-to-whole or
part-to-part)
6.RP.1
Unit rates as a reference
point (part-to-one)
6.RP.2
6.RP.3b
Understand the concept of a
ratio
Use ratio language to
describe a ratio relationship
between two quantities.
Understand the concept of a
unit rate a/b associated with
a ratio a:b with b≠0
Use rate language in the
context of a ratio
relationship
Contextual problem-solving
6.RP.3
6.RP.3a
Use ratio and rate reasoning
to solve real-world and
mathematical problems, e.g.,
reasoning about tables of
equivalent ratios, tape
diagrams, double number
line diagrams, or equations.
Solve unit rate problems
including those involving
unit pricing and constant
speed
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
Fractions, decimals, and
percents
6.RP.3
6.RP.3c
6.RP.3d
Use ratio and rate reasoning
to solve real-world and
mathematical problems, e.g.,
reasoning about tables of
equivalent ratios, tape
diagrams, double number
line diagrams, or equations.
Find a percent of a quantity
as a rate per 100
Solve problems involving
finding the whole given a
part and the percent
Use ratio reasoning to
convert measurement units
Manipulate and transform
units appropriately when
multiplying or dividing
quantities