RATIOS AND PROPORTIONS REASONING UNIT 7
RP.3c
Day 70: Percents – Fractions – Decimals (may take 2 days
depending on results of pre-assessment)
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I can 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 find a
percent of a
quantity as a rate
per 100, solve
problems
involving finding
the whole, given a
part and the
percent.
Bits 1 Inv. 4 C & S
1.1 & 1.2
3c
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(Do before beginning this unit!!! Use Go Math p. 199 as
Pre-Assessment for frac to dec to %, Review while
teaching each lesson as needed. INSTEAD OF GO MATH
P. 199, USE SHEET FROM MY FILE FRAC – DEC - %.
Review: GO 5.1 Model Percents (depending on results of
pre-assessment, do p. 189 #1 – 9)
Vocabulary
o Percent = a ratio of a number to 100
Real World Video, Inside a Lunar Base
o An object’s weight on the moon is about 16% of its
weight on Earth
o Write 16% as a fraction with a denominator of 100
o Is an object’s weight on the moon more or less than
its weight on Earth? How do you know?
Review: GO 5.2 Write percents as Fractions and
Decimals
Unlock the Problem
p. 187, 188, 191, 192 together (depending on preassessment results)
Work in Go Math 5.1 & 5.2
Homework: p. 93, 94, 95, 96 (can assign fewer problems)
Resource: Navigating through Number and Operations, p.
120
Day 71: Fractions & Decimals as Percents
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GO 5.3 Write Fractions and Decimals as Percents
TASK (GO) Unlock the Problem
Work in Go Math 5.3
Homework: p. 97, 98
Use “Ratio Conversions” sheet to introduce ratios and fract,
dec, percents
Mastery Connect: Using Percent (fract to dec to percent)
3c
Day 72: Find Whole and Part of whole (percent)
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25 is 77% of what number? (part – the % of the whole)
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Work in Go Math 5.4 through 5.6
o 25 is 77% of what n  25 = .77 x n 21 is 60% of n
o 40% of 32 is n  .40 x 32 = n
80% of 24 is n
o Show how to do both
Task: Dallin used 40% of the total allowed 32 test
messages for the month? How many more left?
Task: Go 5.6 “Lindsey sent 28 text messages so far. That is
20% of the total allowed for the month. How many total
can she send before she goes over her limit?” When you get
answer, make sure it makes sense. (28 is 20% of n)
More practice finding percent Spectrum: Common Core p.
74 - 76
Homework: p. 103, 104 (plus from go math 5.4 and 5.5)
Mastery Connect: Percent Quiz (part of a whole/find the
whole)
MAYBE do percents review and test (or just checkup from
end of Go 5) Or Mastery Connect Assessment
Day 73: What are RATIOS?
Vocab: ratio = a comparison of two quantities using division
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RP.1
I can understand
the concept of a
ratio and use
ratio language to
describe a ratio
relationship
between two
quantities.
RATIOS
o compare 2 things that are the same
o part-to-part
o part-to-whole
o 3 ways to write them; 3:4, 3 to 4, ¾ (write ratios
these 3 ways throughout the unit)
Ratios shapes (dropbox, under Math Flipcharts)
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Go Math 4.1 (verbally do p. 149) Ratios
Task: Use Minute Maid lemonade and Country Time
lemonade. Hold a taste test to see who likes which
lemonade. If there are 25 students and 12 choose Minute
Maid while 13 choose Country Time, the part to part is 12
to 13. The part to whole is 13 to 25.
o Make chart to compare choices
o Discuss part to part and part to whole
o Write ratios all three ways
OR
o Use Mixing Juice task to show part to part and part
to whole
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RP3a
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Task: Truffles (computer)
TASK for practice (Wiki) Class Ratio (glue in journal and
complete in journal)
o 1. Mr. Copper’s class has a female student to
male student ratio of 3:2. Mr. Copper’s class has
18 girls, how many boys does he have? Show
how you determined your answer. Explain your
reasoning in words.
o 2. Ms. Green’s class has the same number of
students as Mr. Copper’s class. Her female-tomale ratio is 2:1. Which class has the greater
number of females? How do you know?
Create homework sheets with part-to-part and part-towhole, can use 4.2 but only ratio questions NOT RATE. Can
use truffles and lemonade stand tasks as HW
More Practice with ratios and rates, Spectrum: Word
Problems p. 54, 55
I can use ratio
Day 74: Equivalent Ratios in a table
and rate
reasoning to solve  Go Math 4.2, 4.3
real-world and
 - Vocabulary
mathematical
o Equivalent ratios: ratios that name the same
problems.
comparison
 p. 156 (Go Math) show using multiplication table. Bottom
of p. 156 shows a different way
 Work in Go Math 4.2 and 4.3
 Homework: p. 77, 78 (CMP)
 More practice with tables Math Workouts p. 7
 More practice with equivalent ratios Spectrum: Common
Core p. 68
 More practice with graphing ratios Spectrum: Common
Core p. 72
RP.3a
 Resource: Rate and Ratio Video (Wiki) – for teacher use
I can make tables
Anchor Chart: Under Ratios - Equivalent Ratios
of equivalent
ratios relating
Day 75: Problem Solving
quantities with
GO 4.4 Problem Solving-Use Tables to Compare Ratios
whole number
measurements,
 TASK (Wiki) Kitty Food (which store has the better deal?)
find missing
 P. 159, 160 together
values in the
 Work in Go Math 4.4
tables, and plot
 Homework: p. 79, 80
the pairs of
 Extra Practice: SF 6-3 (questions: 27 & 28)
values on the
coordinate plane.
Use tables to
compare ratios.
Mastery Connect: Ratios/Equivalent Ratios
Day 76: Using equivalent Ratios
RP.3a
I can use ratio
and rate
reasoning to solve
real-world and
mathematical
problems, eg, by
reasoning about
tables of
equivalent ratios,
tape diagrams,
double number
line diagrams, or
equations.
C & S 3 SF 6-3
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GO 4.5 Algebra- Use Equivalent Ratios
Unlock the Problem together, p. 163
Work in Go Math 4.5. Show this by making equivalent
ratios
Homework: p. 81, 82
Day 77: Rates
Vocabulary: rate – compare 2 quantities that have
different units
ratio that compares two quantities;
unit rate: ratio comparison to 1 unit
Task: CMP 7 – 3.1 Calculator task
RP.2
I can understand
the concept of a
unit rate a/b
associated with a
ratio a:b with b
not 0, and use
rate language in
the context of a
ratio
relationship.
Bits 1 Inv. 3, 4 C &
S 3 SF 6-3, 6-6, 76, 10-1, 10-2
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a/b
what if b = 0?
Go Math 4.2 rate questions and CMP HW
Anchor Chart: Under Ratios - Rates
Day 78: Unit Rates
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GO 4.6 Find Unit Rates
TASK (Wiki) Chocolate Fix (Find pictures of small, medium,
and large candy bars. Buy small candy bars)
o Rebecca went to Fresh Market to get her chocolate
fix for the day. She saw that there were different
sizes of candy bars as well as different prices.
Rebecca sees one smaller candy bar that is 1.5
ounces and costs $0.72. Then she spies a bigger
candy bar that is the same kind but is 2.5 ounces for
$1.49. Then she sees a larger one. It weighs 4.4
ounces and costs $1.98. Which candy bar should
she purchase if she wants the best price per ounce?
Show your work.
RP.3.b
I can use ratio
and rate
reasoning to solve
real-world and
mathematical
problems (tables
of equivalent
ratios, tape
diagrams, double
number line
diagrams,
equations).
I can solve unit
rate problems
including those
involving unit
pricing and
constant speed.
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Work in Go Math 4.6 p.171 #1 – 11
More practice with unit rates Math Workouts p. 6, 8
More practice with unit rates Spectrum: Common Core p.
69, 70
o Homework: p. 83, 84
Anchor Chart: Under Ratios - Unit Rate
Day 79: Use Unit Rates
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GO 4.7 Algebra- Use Unit Rates
TASK (Wiki) Fashion Design
Unlock the Problem together
Work in Go Math 4.7
Homework: p. 85, 86
Mastery Connect: Find and Use the Unit Rate
Day 80: Working with Unit Rates/Equivalent Ratios and
Graphs
RP.3a
Do a little of Go 4.8 (Ratios and Graphs)
I can use ratio
and rate
reasoning to solve
real-world and
mathematical
problems, eg, by
reasoning about
tables of
equivalent ratios,
tape diagrams,
double number
line diagrams, or
equations.
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Use shopping ads – “you can buy 12 bags of cookies for
$6.00. How much would each bag cost (unit rate)? use Tape
diagram
Other tasks: “minivan vacation” on wiki, “fashion design”
on wiki
HW or practice (any above task or “Kitty Food” on wiki)
REVIEW AND TEST ON FRACTIONS, DECIMALS, PERCENTS,
RATIOS, RATES, AND UNIT RATES