```MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 1
Unit
Unit 1
Description Decimal Place Value
Suggested Length: 2-3 weeks
Big Idea(s)
What
enduring
understandin
gs are
essential for
application
to new
situations
within or
beyond this
content?
Enduring Understanding
Develop understanding of decimal numbers and operations (to
1/100’s)
Enduring Skills Rubric measures competency of the following skills:








Essential
Question(s)
What
questions will
provoke and
sustain
student
engagement
while
focusing
learning?



In any multi-digit number, recognizes a digit in one place represents
10 times as much as it represents in the place to its right and 1/10 of
what it represents in the place to its left
Reads and writes decimals to the thousandths using numeral,
number names, and expanded form
Compares decimals to the thousandths using symbols (<, >, =)
Can round decimals to any place using place value understanding
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
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
What patterns occur in our number system?
How do we compare decimals?
How do we round decimals?
Standards
Standards for Mathematical Practice
1
District Curriculum Map for Mathematics: Grade 5
Unit 1
1. Make sense of problems and persevere in solving them. 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. Students write simple
expressions that record calculations with numbers and represent
numbers using place value concepts.
3. Construct viable arguments and critique the reasoning of others.
Students construct arguments using concrete referents, such as
objects, pictures, and drawings. They explain comparisons with
decimals based upon models and rules that generate patterns.
They explain their thinking to others and respond to others’ thinking.
4. Model with mathematics. Students use base ten blocks, drawings,
number lines, and equations to represent decimal place value and
powers of ten. They determine which models are most efficient for
solving problems. They interpret expressions and connect them to
representations.
5. 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.
6. 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, powers of ten, and use decimal points
correctly.
7. Look for and make use of structure. 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. Students utilize patterns in place value and
powers of ten.
Standards for Mathematical Content
5.NBT.1 Recognize that in a multi-digit number, a digit in one place
represents 10 times as much as it represents in the place to its right and
1/10 of what it represents in the place to its left.
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 ×
1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
2
District Curriculum Map for Mathematics: Grade 5
Unit 1
b. Compare two decimals to thousandths based on meanings of the
digits in each place, using >, =, and < symbols to record the results of
comparisons.
Supporting
Standard(s
)
Which
related
standards will
be
incorporated
to support
and
enhance 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
5.NBT.4 Use place value understanding to round decimals to any place.
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.
I am learning to…
 Recognize and explain that in a multi- digit number, a digit in one
place represents 10 times as much as it represents in the place to its
right and 1/10 of what it represents in the place to its left.
 Read and write decimal to thousandths using base-ten numerals
(standard form), number names (word form), and expanded form.
 Use >, =, and < symbols to record the results of comparisons
between decimals up to the thousandths based on the place
value of each digit.
 Use knowledge of base ten and place value to round decimals to
any place up to the hundredths place.
 Order decimal numbers and/or place them on a number line.
Essential Vocabulary
base ten
base ten numerals
decimals
expanded form
number names
place value names (tenths, hundredths, thousandths)
word form
3
District Curriculum Map for Mathematics: Grade 5
Unit 1
communicat
e effectively
content?
Resources
& Activities
What
resources
could we use
to best teach
this unit?
Supporting Vocabulary
Compare
Estimation
equal to
exponents
greater than
less than
powers of ten
product
Round
Stepping Stones (www.origoeducation.com)
5.NBT.1
o Module 1: Lessons 1-2
5.NBT.2
o Module 1: Lesson 2
o Module 8: Lesson 4
5.NBT.3
o Module 2: Lessons 7- 12
o Module 5: Lessons 1-2
5.NBT.4
o Module 5: Lessons 3-4
Engage NY
5.NBT.1
o
o
Module 1: Topic A
Module 2: Topics A, E
5.NBT.2
o
o
Module 1: Topics A, D
Module 2: Topics A, E, G
5.NBT.3
4
District Curriculum Map for Mathematics: Grade 5
Unit 1
o
Module 1: Topics B, D, F
5.NBT.4
o
Module 1: Topic C
Howard County Website
o
o
o
o
.NBT.1
.NBT.2
.NBT.3
.NBT.4
K-5 Math Teaching Resources
5.NBT.1
o http://www.k-5mathteachingresources.com/supportfiles/comparing-digits.pdf
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.3
o http://www.k-5mathteachingresources.com/supportfiles/representing-decimals.pdf
o http://www.k-5mathteachingresources.com/support-files/placevalue-chart-to-thousandths.pdf
o http://www.k-5mathteachingresources.com/support-files/hunt-fordecimals.pdf
o http://www.k-5mathteachingresources.com/supportfiles/comparing-decimals.pdf
5.NBT.4
o http://www.k-5mathteachingresources.com/support-files/roundingdecimals.pdf
5
District Curriculum Map for Mathematics: Grade 5
Unit 1
Illustrative Mathematics
5.NBT.1
o
5.NBT.2
5.NBT.3
5.NBT.4
Illuminations
o http://illuminations.nctm.org/Search.aspx?view=search&cc=1973_1
983
Created by Beth Richardson ([email protected]):
o Decimal of the Day (NBT.1-4)
o Decimal Number QR Task Cards
o Decimal exit slips (Free from TPT:
http://www.teacherspayteachers.com/Product/FREE-Decimals
Teachers Pay Teachers
Numbers and Operations in Base Ten 2.1-3.1a Math Worksheet (Free on
TPT):
6
District Curriculum Map for Mathematics: Grade 5
Unit 1
Decimal place value cards for expanded form (\$3 from TPT:
o http://www.teacherspayteachers.com/Product/Place-ValueManipulatives-Decimals-312205)
Decimals and Fractions: City Cruisers (\$5 on TPT)
o http://www.teacherspayteachers.com/Product/Decimals-andFractions-City-Cruisers-1139085
From Common Core Sheets
(http://www.commoncoresheets.com/)
www.rundesroom.com
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
Partner Games, AVMR file folders, Ongoing Assessment Project, etc.
7
```