MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 3
Unit
Description
Unit 3
Operations with Decimals
Suggested Length: 3 weeks
Big Idea(s)
Enduring Understanding
Develop understanding of decimal numbers and operations to 0.01
What
enduring
understandin
gs are
essential for
application
to new
situations
within or
beyond this
content?
Enduring Skills Rubric measures competency of the following skills:




Essential
Question(s)

Adds, subtracts, multiplies, or divides decimals to hundredths,
accurately using concrete models or drawings and strategies
based on place value, properties of operations, and/or the
relationship between addition and subtraction
Fluently multiply and divide by 10 and powers of 10
Explains patterns in the number of zeros of the product when
multiplying a number by powers of 10 and placement of the
decimal point when a decimal is multiplied or divided by a power
of 10; uses whole number exponents to denote powers of 10
Constructs and communicates a well-organized and complete
written response using a logical progression of steps
How do we solve problems with decimal numbers?
What
questions will
provoke and
sustain
student
engagement
while
focusing
learning?
Standards
Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them. Students
solve problems by applying and extending their understanding of
addition and subtraction to decimals. Students seek the meaning
of a problem and look for efficient ways to solve it. They determine
situations when decimal numbers should be rounded and when
they need to be exact.
2. Reason abstractly and quantitatively. Students demonstrate
abstract reasoning to connect decimal quantities to fractions, and
to compare relative values of decimal numbers. Students round
decimal numbers using place value concepts.
3. Construct viable arguments and critique the reasoning of others.
Students construct arguments using concrete referents, such as
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 3
4.
5.
6.
7.
8.
objects, pictures, and drawings. They explain calculations with
decimals based upon models and rules that generate patterns.
They explain their thinking to others and respond to others’ thinking.
Model with mathematics. Students use base ten blocks, drawings,
number lines, and equations to represent decimal place value,
addition, and subtraction. They determine which models are most
efficient for solving problems.
Use appropriate tools strategically. Students select and use tools
such as graph paper, base ten blocks, and number lines to
accurately solve problems with decimals.
Attend to precision. Students use clear and precise language,
(math talk) in their discussions with others and in their own
reasoning. Students use appropriate terminology when referring to
decimal place value and use decimal points correctly
Look for and make use of structure. Students use properties of
operations as strategies to add and subtract with decimals.
Students utilize patterns in place value and powers of
ten and relate them to rules and graphical representations.
Students also use structure to read, write, and compare decimals.
Look for and express regularity in repeated reasoning. Students
use repeated reasoning to understand algorithms and make
generalizations about patterns. Students connect place value and
properties of operations to fluently add and subtract decimals.
Standards for Mathematical Content
5.NBT.2 Explain patterns in the number of zeros of the product when
multiplying a number by powers of 10, and explain patterns in the
placement of the decimal point when a decimal is multiplied or divided
by a power of 10. Use whole-number exponents to denote powers of 10.
5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using
concrete models or drawings and strategies based on place value,
properties of operations, and/or the relationship between addition and
subtraction; relate the strategy to a written method and explain the
reasoning used.
Supporting 5.NBT.1 Recognize that in a multi-digit number, a digit in one place
Standard(s) represents 10 times as much as it represents in the place to its right and
Which related 1/10 of what it represents in the place to its left.
standards will
be
incorporated
to support
and enhance
5.NBT.3 Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals,
number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 ×
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 3
the enduring
standards?
Instruction
al
Outcomes
What must
students learn
and be able
to by the end
of the unit to
demonstrate
mastery?
Vocabular
y
What
vocabulary
must students
know to
understand
and
communicat
e effectively
about this
content?
1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
b. Compare two decimals to thousandths based on meanings of the digits
in each place, using >, =, and < symbols to record the results of
comparisons.
5.NBT.4 Use place value understanding to round decimals to any place.
I am learning to…
 Add, subtract, multiply, and divide decimals to hundredths using
concrete models or drawings and strategies based on place value,
properties of operations, and/or the relationship between addition
and subtraction.
 Relate the strategy to a written method and explain the reasoning
used to solve decimal operation calculations.
 Fluently translate between powers of ten written as ten raised to a
whole number exponent, the expanded form, and standard
notation (103 = 10 x 10 x 10 = 1000)
 Explain the patterns in the placement of the decimal in the answer
when multiplying or dividing a decimal number by powers of 10.
 Explain the relationship of the placement of the decimal point
when a decimal is multiplied or divided by a power of 10.
Essential Vocabulary
Algorithm
area model
difference
dividend
divisor
estimate
factor
product
quotient
reasonableness
sum
Supporting Vocabulary
Add
Divide
Decimal
Hundredths
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 3
Resources
& Activities
What
resources
could we use
to best teach
this unit?
Multiply
Place value
Subtract
Tenths
Thousandths
Stepping Stones
(www.origoeducation.com)
5.NBT.2
o Module 1: Lesson 2
o Module 8: Lesson 4
5.NBT.7
o Module 5: Lessons 5-8
o Module 7: Lessons 1-7
o Module 10: Lessons 1-9
o Module 12: Lessons 1-9
Engage NY
(https://www.engageny.org/resource/grade-5-mathematics)
5.NBT.2
o Module 1: Topics A, D, E
o Module 2: Topics A, D, E, G
5.NBT.7
o Module 1: Topics D, E, F
o Module 2: Topics C, D, G, H
o Module 4: Topics E, G
Howard County Website
(https://grade5commoncoremath.wikispaces.hcpss.org/home)
K-5 Math Teaching Resources
(http://www.k-5mathteachingresources.com/)
5.NBT.2
o http://www.k-5mathteachingresources.com/supportfiles/multiplying-a-whole-number-by-a-power-of-10.pdf
o http://www.k-5mathteachingresources.com/supportfiles/multiplying-a-decimal-by-a-power-of-10.pdf
o http://www.k-5mathteachingresources.com/support-files/dividinga-whole-number-by-a-power-of-10.pdf
o http://www.k-5mathteachingresources.com/support-files/dividinga-decimal-by-a-power-of-10.pdf
5.NBT.7
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 3
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http://www.k-5mathteachingresources.com/support-files/decimalsof-the-week.pdf
http://www.k-5mathteachingresources.com/support-files/decimalbag-addition.pdf
http://www.k-5mathteachingresources.com/support-files/decimalbag-subtraction.pdf
http://www.k-5mathteachingresources.com/support-files/decimalpictures.pdf
http://www.k-5mathteachingresources.com/support-files/addingdecimals.pdf
http://www.k-5mathteachingresources.com/supportfiles/subtracting-decimals-ver.1.pdf
http://www.k-5mathteachingresources.com/supportfiles/subtracting-decimals-ver.2.pdf
http://www.k-5mathteachingresources.com/support-files/totalten.pdf
http://www.k-5mathteachingresources.com/support-files/decimaladdition-to-500.pdf
http://www.k-5mathteachingresources.com/support-files/decimalsubtraction-spin.pdf
http://www.k-5mathteachingresources.com/support-files/decimalrace-to-zero.pdf
http://www.k-5mathteachingresources.com/support-files/decimalsmagic-triangle.pdf
http://www.k-5mathteachingresources.com/support-files/decimalmagic-squares.pdf
http://www.k-5mathteachingresources.com/support-files/decimalcross-number-puzzles.pdf
http://www.k-5mathteachingresources.com/supportfiles/multiplying-decimals-word-problems.pdf
http://www.k-5mathteachingresources.com/supportfiles/multiplying-decimals-whole-x-tenths.pdf
http://www.k-5mathteachingresources.com/supportfiles/multiplying-tenths-by-hundredths.pdf
Created by Beth Richardson (Elizabeth.richardson@madison.kyschools.us):
o Decimal of the Day NBT.2,7
Decimals and Fractions: City Cruisers ($5 on TPT)
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 3
o
http://www.teacherspayteachers.com/Product/Decimals-andFractions-City-Cruisers-1139085
Common Core Sheets
(www.CommonCoreSheets.com)
o http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt2
o http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt7
Illustrative Mathematics
o https://www.illustrativemathematics.org/content-standards/5
Illuminations
o http://illuminations.nctm.org/Search.aspx?view=search&cc=2014_2
024
Remember there are other sources in your school that may not be
listed on this common resources list due to variation in each individual
school. Examples of other great resources your school may have
access to include: Everyday Math Games, Investigations, Everyday
Partner Games, AVMR file folders, Ongoing Assessment Project, etc.
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