Livingston County Schools
6th Grade Unit 7 Ratios and Proportional Relationships
Math
Unit Overview
Understand ratio concepts and use ratio reasoning to solve problems. Use ratio and rate reasoning to solve real-world and mathematical problems.
Length of unit: 5 weeks
KY Core Academic 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 one beak.” “For
every vote candidate A
received, candidate C
received nearly three
votes.”
Learning Target
K
I can write ratio notation.
X
I can demonstrate knowledge that order
matters when writing a ratio.
X
I can demonstrate knowledge that
ratios can be simplified.
X
I can demonstrate knowledge that
ratios compare two quantities; the
quantities do not have to be the same
unit of measure.
I recognize that ratios appear in a
variety of different contexts; part-towhole, part-to-part, and rates.
I can generalize that all ratios relate two
quantities or measures within a given
situation in a multiplicative relationship.
I can analyze my context to determine
which kind of ratio is represented.
X
R
S
P
Critical
Vocabulary
ratio notation
ratio
Texts/Resources/Activities
Text: Math Connects
Chapter 6 Lesson 1
Chapter 6 Lesson 3
Brain Pop: Ratios
Brain Pop: Proportions
Study Island 2A
Coach Lesson 12
X
X
generalize
X
analyze
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 realworld 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.
b. Solve unit rate problems
including those involving
unit pricing and constant
I can identify and calculate a unit rate.
X
rate
Text: Math Connects
Chapter 6 Lesson 2
Study Island B4
I can use appropriate math terminology
as related to rate.
X
I can analyze the relationship between a
ratio a:b and a unit rate a/b where b ≠
0.
X
I can make a table of equivalent ratios
using whole numbers.
X
I can find the missing values in a table of
equivalent ratios.
X
I can plot pairs of values that represent
equivalent ratios on the coordinate
plane.
X
I can demonstrate knowledge that a
percent is a ratio of a number to 100.
X
I can find a % of a number as a rate per
100.
X
I can use tables to compare
proportional quantities.
Coach Lesson 14
Text: Math Connects
Chapter 6 Lesson 2
Chapter 6 Lesson 4
Chapter 6 Lesson 6
Chapter 7 Lesson 1 ?
Study Island 2B
Study Island 2C
Study Island 2 D
Coach Lesson 13
Coach Lesson 14
Coach Lesson 15
Coach Lesson 16
Brain Pop: Distance Rate and
Time
Brain Pop: Percents
X
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.
I can solve real-world and mathematical
problems involving ratio and rate.
(e.g., by reasoning about tables of
equivalent ratios, tape diagrams, double
number line diagrams, or equations. )
X
I can apply the concept of unit rate to
solve real-world problems involving unit
pricing.
X
I can apply the concept of unit rate to
solve real-world problems involving
constant speed.
X
I can solve real-world problems
involving finding the whole, given a part
and a percent.
X
I can apply ratio reasoning to convert
measurement units in real-world and
mathematical problems.
X
I can apply ratio reasoning to convert
measurement units by multiplying or
dividing in real-world and mathematical
problems.
X
Common Assessments Developed (Proposed Assessment Dates):
HOT Questions: