Grade 6
Unit 2
Table of Contents
Fractions, Ratio, Percent
Section
Unit Description
Unit Standards
Unit Essential Questions
Unit Proficiencies (Learning Targets)
Unit Vocabulary and Language Support
Sample Unit Calendar and Possible Supporting Materials
Student Proficiencies Handout
Unit Assessments and Rubric/Commentary
Page Number
Grade 6
Content Unit 2
Dates of Unit: 10/2011/25/2014
Unit Title:
Stage 1
Unit
Description:
Fractions, Ratio, Percent
Identify Desired Results
Standards:
6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by
using visual fraction models and equations to represent the problem.
6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
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.
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.
6.RP.3a 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 Solve unit rate problems including those involving unit pricing and constant speed.
6.RP.3c 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 reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or
dividing quantities.
Essential
Question:
Standard
Proficiencies
(Learning Targets)
Students will add, subtract, multiply and divide fractions. Students will understand the concept of and relationship between ratio, rate and
percent and apply their use in tables, coordinate planes, diagrams, number lines and equations. They will solve rate problems involving pricing
and constant speed and ratio problems that convert units of measurement.
How can I apply ratio and rate reasoning to real-world and mathematical problems using ratios, fractions and percent?
How can I make and use tables and graphs to compare ratios?
6.NS.1
I can interpret
and compute
quantities of
fractions.
6.RP.1
6.RP.2
6.RP.3
6.RP.3a
6.RP.3b
6.RP.3c
I can use ratio
language to
describe a
relationship
between two
quantities.
I can identify
and calculate a
unit rate for a
ratio
relationship.
I can use tables
to compare
ratios.
I can make a
table of
equivalent ratios
and use it to find
missing values
and/or graph the
values on a
coordinate plane.
I can solve unit
rate problems,
including unit
pricing and
constant speed.
I can find
percent of a
quantity as rate
per 100.
6.RP.3d
I can convert
measurement
units.
I can solve word
problems
involving
division of
fractions by
fractions, using
visual models
and equations.
I can use the
rate language
to describe a
ratio.
I can find the
whole, given a
part and
percent.
I can
manipulate and
transform units
appropriately
when
multiplying or
dividing
quantities.
Stage 2
Determine Assessment Evidence
Academic Language Function(s):
Academic Language (What language will students need to sound like experts?)
Academic Language Stems:
Easy for Beginners
Academic Vocabulary:


Medium for Intermediate
Difficult for Advanced and Fluent
Assessment
Tools:
 Goals Rubric
 Assessment Checklist
Student Name
Vocabulary
I can manipulate and
transform units appropriately
when multiplying or dividing
quantities.
I can find the whole,
given a part and
percent.
I can convert
measurement units.
I can find percent of a
quantity as rate per 100.
I can solve unit rate
problems, including unit
pricing and constant
speed.
I can use tables to
compare ratios.
I can make a table of
equivalent ratios and
use it to find missing
values and/or graph the
values on a coordinate
plane.
I can use the rate
language to describe a
ratio.
I can identify and
calculate a unit rate for
a ratio relationship.
I can use ratio language
to describe a
relationship between
two quantities.
I can solve word
problems involving
division of fractions by
fractions, using visual
models and equations.
I can interpret and
compute quantities of
fractions.
Unit of Study Assessment Checklist
Stage 3
Plan Learning Experiences and Instruction
SAMPLE UNIT CALENDAR
I can solve word problems
involving division of fractions
by fractions, using visual
models and equations.
I can solve word problems
involving division of fractions
by fractions, using visual
models and equations.
I can use ratio language to
describe a relationship
between two quantities.
Assessment:
I can use ratio language to
describe a relationship
between two quantities.
I can identify and calculate a
unit rate for a ratio
relationship.
I can identify and calculate a
unit rate for a ratio
relationship.
I can use the rate language to
describe a ratio.
Assessment:
I can use the rate language to
describe a ratio.
I can use the language of unit
rate to describe a ratio.
I can use the language of unit
rate to describe a ratio.
I can use tables to compare
ratios.
Assessment:
I can use tables to compare
ratios.
I can make a table of
equivalent ratios and use it to
find missing values and/or
graph the values on a
coordinate plane.
I can solve unit rate problems,
including unit pricing and
constant speed.
I can find percent of a quantity
as rate per 100.
Assessment:
I can find the whole, given a
part and percent.
I can convert measurement
units.
I can manipulate and
transform units appropriately
when multiplying or dividing
quantities.
Vocabulary
Assessment:
I can interpret and compute
quantities of fractions.
Materials
ALGEBRAIC EXPRESSIONS Name ______________________________
Date ________________________ Period _____
PROFICIENCIES
My Proficiency Assessment Scores
Proficiency # 1– “I can interpret and compute quantities of
fractions.”
Proficiency #2 – “I can solve word problems involving division
of fractions by fractions, using visual models and equations..”
Proficiency #3 – “I can use ratio language to describe a
relationship between two quantities.”
Proficiency # 4– “I can identify and calculate a unit rate for a
ratio relationship.”
Proficiency # 5– “I can use the rate language to describe a ratio.”
Proficiency # 6– “I can use tables to compare ratios.
Proficiency # 7– “I can make a table of equivalent ratios and
use it to find missing values and/or graph the values on a
coordinate plane.”
Proficiency # 8-“ I can solve unit rate problems, including unit
pricing and constant speed.”
Proficiency # 9- “I can find percent of a quantity as rate per
100.”
Proficiency # 10- “I can find the whole, given a part and percent.”
Proficiency # 11- “I can convert measurement units.”
Proficiency # 12- “I can manipulate and transform units
appropriately when multiplying or dividing quantities.”
Ratio
Rate
Quotient
Units
Product
Unit rate
Proportion
Numerator
Denominator
Sum
Difference
Equivalent
Tape diagram
Double number line
diagram
Equations
Constant speed
Unit Pricing
Mixed number
Improper fraction
Proper fraction
Reduce
Plot
Coordinate plane
X-axes
Y-axes
Origin
Quadrant
Percent
Fraction
Simplify
Compare
⧠ I know how to add, subtract, multiply and divide multi- digit whole numbers, decimals, and
fractions.
⧠ I know how to stick with a problem until it’s finished.
⧠ I understand and know how to use math vocabulary appropriately.
⧠ I know how to convert between fractions, decimals and percent.
⧠ I know how to make tables and graphs.
⧠ I know how to plot on a coordinate plane.
⧠ I know how to use mathematics to solve real-world problems.
See me if you look at this list and think, “uh, oh…”
Proficiency Assessment…
Name _________________________________
Date _______________________ Period ____
Proficiency # – “I can ….”
Proficiency
Score
4
Percentage
3
83%
2
67%
1
50%
100%
Description
WOW!
I have shown proficiency and deeper understanding by:

You got it 
I have shown proficiency by:

Help is needed
I have shown partial understanding by:

Uh-oh…
I have not yet shown my understanding of the math.
Name _________________________________
Date _______________________ Period ____
Proficiency # – “I can .”
Proficiency
Score
4
Percentage
3
83%
2
67%
1
50%
100%
Description
WOW!
I have shown proficiency and deeper understanding by:

You got it 
I have shown proficiency by:

Help is needed
I have shown partial understanding by:

Uh-oh…
I have not yet shown my understanding of the math.