Common Core Curriculum Map 2012-2013
Common Core Unit Name: Grade 6 – Ratios and Rates with Fractions, Decimals, and Percents
Unit Number: 3
(Unit 3 is an opportunity to finish developing the concepts of ratios and rates and to make connections between units
taught so far in the year. For example, students sort out when ratios are fractions and when they are not. As a result, many of the
standards listed have already been included as a primary focus for a unit.)
Enduring Understanding: To expand the scope of problems for which multiplication and division can be used to solve and
connect ratios and fractions.
Standard
Essential Questions
6.RP.1 Understand the concept of a ratio and use ratio
language to describe a ratio relationship between two
quantities.
REVIEW
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
REVIEW
6.RP.3a 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.
6.RP.3b 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.
b. Solve unit rate problems including those
involving unit pricing and constant speed.
6.RP.3c Use ratio and rate reasoning to solve real-world
REVIEW
Pacing
Guideline
Key
Academic
Vocabulary
REVIEW
1. How will I use my knowledge of a percent as a rate per
5 days
% (percent)
1
Common Core Curriculum Map 2012-2013
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.3d 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.
d. Use ratio reasoning to convert measurement
units; manipulate and transform units
appropriately when multiplying or dividing
quantities.
6.EE.6 Use variables to represent numbers and write
expressions when solving a real-world or mathematical
problem; understand that a variable can represent an
unknown number, or, depending on the purpose at hand,
any number in a specified set. Represent and analyze
quantitative relationships between dependent and
independent variables.
6.EE.7 Solve real-world and mathematical problems by
writing and solving equations of the form x + p = q and px
= q for cases in which p, q and x are all nonnegative
rational numbers.
100 to find the percent of a known quantity?
2. How will I represent percents using tools such as tables
of equivalent ratios, tape diagrams, double line
diagrams, and equations?
3. How will I establish connections between tools that allow
for extended reasoning and synthesis of the concept of
ratios and rates (e.g., How do tape diagrams and double
number lines show rate reasoning given the same
context?
1. How will I use measurement units to employ ratio
reasoning (e.g., If 3 feet is equal to a yard, then 6 feet is
equal to 2 yards)?
2. How will I use tools such as tables of equivalent ratios,
tape diagrams, double number line diagrams, and
equations to help scaffold understanding for converting
measurement units?
3. How will I establish connections between tools to allow
for extended reasoning and synthesis of the concept
4. of ratios and rates (e.g., How do tape diagrams and
double number lines show rate reasoning given the
same context)?
REVIEW
5 days
1. Convert
2. 10n (power of
10 notation
REVIEW
2
Common Core Curriculum Map 2012-2013
6.EE.9 Use variables to represent two quantities in a realworld 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.
Suggested Resources by Unit
REVIEW
Location of these resources
3