Grade 6 Unit 2 Ratios, Rates and Proportions
ISBE Unit Map
Standards Addressed:
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1
beak.” “For every vote candidate A received, candidate C received nearly three votes.”
6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠0, and use rate language in the
context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4
cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”
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.
Represent and analyze quantitative relationships between dependent and independent variables.
6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another;
write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought
of as the independent variable. Analyze the relationship between the dependent and independent variables using
graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list
and graph order pairs of distances and times, and write the equation d = 65t to represent the relationship between
distance and time.
Transfer: Students will apply…
Students will apply ratio and rate concepts and procedures and equations with dependent and independent variables
to represent and solve real-world and mathematical problems (rate and unit rate problems, scaling, unit pricing,
statistical analysis, etc).
1
Standard
6.RP.1 Understand the concept of a
ratio and use ratio language to
describe a ratio relationship
between two quantities. For
example, “The ratio of wings to
beaks in the bird house at the zoo
was 2:1, because for every 2 wings
there was 1 beak.” “For every vote
candidate A received, candidate C
received nearly three votes.”
6.RP.2 Understand the concept of a
unit rate a/b associated with a ratio
a:b with b ≠0, and use rate language
in the context of a ratio relationship.
For example, “This recipe has a ratio
of 3 cups of flour to 4 cups of sugar,
so there is 3/4 cup of flour for each
cup of sugar.” “We paid $75 for 15
hamburgers, which is a rate of $5
per hamburger.”
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 wholenumber measurements, find missing
values in the tables, and plot the
pairs of values on the coordinate
plane. Use tables to compare ratios.
Learning Targets
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Assessment
QUESTION
#
I can demonstrate my
understanding by giving various
examples
I can write a ratio that describes a
relationship between two
quantities
I can explain the relationship that
a ratio represents
4, 7
I can demonstrate my
understanding of unit rate by
giving various examples
I can recognize a ratio written as a
unit rate
I can explain a unit rate
I can describe the ratio
relationship represented by a unit
rate
I can convert a given ratio to a unit
rate
8, 12
I can create a table of equivalent
ratios
I can solve real-world problems
involving proportional reasoning
I can use the proportional
relationship to find missing values
in a table of equivalent ratios
I can compare ratios presented in
various forms
I can plot corresponding values
from an equivalent ratio table on
a coordinate grid
1, 4
PARCC
6.RP.1 Ratios
MYA/PBA:6.C.8.1/
EOY
1, 5d
12
6.RP.2 Unit rate
MYA/PBA:6.C.8.1/
EOY
8
8, 9
8, 9
4
14a, 14b,
14c
4
6.RP.3 Solve realworld ratio
problems
MYA/PBA:6.C.8.1/
EOY
14
4
2
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.

I can solve real-world problems
involving unit pricing
5a, 5b, 5c
14a, 14b,
14c

I can solve real-world problems
involving constant speed
2, 15f, 15g,
15h

I can use visual representations
(e.g., strip diagrams, percent bars,
one-hundred grids) to model
percents
I can write a percent as a rate per
one-hundred
I can use proportional reasoning
to find the percent of a given
number
I can use proportional reasoning
to find the whole when given both
the part and the percent
6.RP.3 Solve realworld ratio
problems
MYA/PBA:6.C.8.1/
EOY
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?
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.
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.
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.
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I can convert measurement units
using ratio reasoning
I can convert measurement units
between Metric and English using
ratio reasoning
3, 6, 10a
10b
6.RP.3 Solve realworld ratio
problems
MYA/PBA:6.C.8.1/
EOY
11
3, 6a, 6b
13b
13a
6.RP.3 Solve realworld ratio
problems
MYA/PBA:6.C.8.1/
EOY
d) Use ratio reasoning to convert
measurement units; manipulate and
transform units appropriately when
multiplying or dividing quantities.
3
6.EE.9 Use variables to represent
two quantities in a real-world
problem that change in relationship
to one another; write an equation
to express one quantity, thought of
as the dependent variable, in terms
of the other quantity, thought of as
the independent variable. Analyze
the relationship between the
dependent and independent
variables using graphs and tables,
and relate these to the equation.
For example, in a problem involving
motion at constant speed, list and
graph order pairs of distances and
times, and write the equation d =
65t to represent the relationship
between distance and time.
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I can create a table of two
variables that represents a realworld situation in which one
quantity will change in relation to
the other
I can explain the difference
between the independent variable
and the dependent variable
I can determine the independent
and dependent variable in a
relationship
I can write an algebraic equation
that represents the relationship
between the two variables
I can create a graph by plotting
the dependent variable on the xaxis and the independent variable
on the y-axis of a coordinate plane
I can analyze the relationship
between the dependent and
independent variables by
comparing the table, graph, and
equation
15a
6.EE.9
Independent and
dependent
variables
PBA/MYA:6.C.8.2
15c
15b, 15f, 15g,
15h
15e
4, 15d
14a, 14b, 14c
4
Teacher Reflection
How can I revise my lessons
to better meet the needs of
my students in this unit?
Are there any other available
resources that could support
me with this unit?
Some concepts I struggled
with were…
Some strategies that I
struggled with were…
Some concepts students
struggled with were…
Some concepts students
seemed to grasp easily were…
5
Student Reflection
Student(s)/Teacher Discussion
A learning target I feel that I
mastered is…
I feel I mastered this target
because…
A learning target that I struggled
with or am confused about is…
I feel I struggled with this target
because…
My teacher can best support me
by…
6