MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 5
Unit
Description
Unit 5
Understanding Fractions
Suggested Length: 3 weeks
Big Idea(s)
What
enduring
understandin
gs are
essential for
application
to new
situations
within or
beyond this
content?
Enduring Understanding
Develop fluency with fraction operations of addition & subtraction
Essential
Question(s)
What
questions will
provoke and
sustain
student
engagement
while
focusing
learning?
Standards
Enduring Skills Rubric measures competency of the following skills:






Solves word problems involving addition and subtraction of
fractions, using equivalent fractions in cases of unlike
denominators by using visual fractions or equations
Recognizes reasonableness of answer using benchmark fractions
Uses equivalent fractions to add/subtract fractions and/or mixed
numbers with unlike denominators
Constructs and communicates a well-organized and complete
written response using a logical progression of steps.
What different ways can a fraction be represented?
How can you create equivalent fractions?
Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them. Students
make sense of the value of fractions and meaning of addition
and subtraction of fractions with like denominators.
2. Reason abstractly and quantitatively. Students demonstrate
abstract reasoning to create and display visual models of
fractions, sums of fractions, and differences of fractions. They
extend this understanding from whole numbers to their work with
fractions.
3. Construct viable arguments and critique the reasoning of others.
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 5
4.
5.
6.
7.
8.
Students construct and critique arguments regarding their
understanding of fractions greater than, equal to, and less than
one whole and one half.
Model with mathematics. Students draw representations of their
mathematical thinking as well as use words and numbers to
explain their thinking
Use appropriate tools strategically. Students select and use tools
such as visual models, measuring sticks/number lines, and
manipulatives of different fraction sizes to represent situations
involving the relationship between fractions.
Attend to precision. Students attend to the precision when
comparing and contrasting fractions and whether or not they
are equivalent. Students use appropriate terminology when
referring to fractions.
Look for and make use of structure. Students develop the
concept of addition and subtraction with fractions using like and
unlike denominators through the use of various manipulatives.
Look for and express regularity in repeated reasoning. Students
relate new experiences to experiences with similar contexts when
allowing students to develop relationships for fluency and
understanding of fractional computation. Students explore
operations with fractions with visual models and begin to
formulate generalizations.
Standards for Mathematical Content
5.NF.1 Add and subtract fractions with unlike denominators (including
mixed numbers) by replacing given fractions with equivalent fractions in
such a way as to produce an equivalent sum or difference of fractions
with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12.
(In general, a/b + c/d = (ad + bc)/bd.)
5.NF.2 Solve word problems involving addition and subtraction of
fractions referring to the same whole, including cases of unlike
denominators, e.g., by using visual fraction models or equations to
represent the problem. Use benchmark fractions and number sense of
fractions to estimate mentally and assess the reasonableness of
answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by
observing that 3/7 < 1/2.
Supporting
Standard(s)
Which
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 5
related
standards will
be
incorporated
to support
and
enhance the
enduring
standards?
Instructional
Outcomes
What must
students
learn and be
able to by
the end of
the unit to
demonstrate
mastery?
Vocabulary
What
vocabulary
must students
know to
understand
and
communicat
e effectively
about this
content?
Resources &
Activities
What
resources
could we use
to best teach
this unit?
I am learning to…
 Create different representations of a fraction
 Draw models of fractions
 Locate fractions on a number line
 Calculate equivalent fractions
 Use benchmark fractions to determine reasonability of an answer
 Convert between fractions and decimals in tenths
 Add and subtract fractions with a common denominator
Essential Vocabulary
Denominator
Equal parts
Equivalent fraction
Fraction
Half
Improper fraction
Like/Common Denominator
Mixed Number
Numerator
Whole
Supporting Vocabulary
Stepping Stones (www.origoeducation.com)
5.NF.1
o Module 2: Lessons 1-5
o Module 4: Lessons 1-7
o Module 6: Lessons 2-7
5.NF.2
o Module 4: Lesson 8
o Module 6: Lesson 8
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MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 5
o
Module 9: Lesson 9
Engage NY
(https://www.engageny.org/resource/grade-5-mathematics)
5.NF.1
o Module 3: Topics A, B, C, D
5.NF.2
o Module 3: Topics B, C, D
Howard County Website
(https://grade5commoncoremath.wikispaces.hcpss.org/home)
K-5 Math Teaching Resources
5.NF.1
o http://www.k-5mathteachingresources.com/supportfiles/creating-equivalent-fractions-to-add-unlike-fractions1.pdf
o http://www.k-5mathteachingresources.com/supportfiles/creating-equivalent-fractions-to-subtract-unlike-fractions.pdf
o http://www.k-5mathteachingresources.com/supportfiles/fraction-word-problems-unlike-denominator.pdf
o http://www.k-5mathteachingresources.com/supportfiles/adding-mixed-numbers-with-unlike-denominators.pdf
o http://www.k-5mathteachingresources.com/supportfiles/subtracting-mixed-numbers-with-unlike-denominators.pdf
o http://www.k-5mathteachingresources.com/supportfiles/magicsquaresadditionfractions.pdf
o http://www.k-5mathteachingresources.com/support-files/closestto-25.pdf
o http://www.k-5mathteachingresources.com/support-files/thesum-of-two-mixed-numbers.pdf
o http://www.k-5mathteachingresources.com/support-files/thedifference-between-2-mixed-numbers.pdf
o http://www.k-5mathteachingresources.com/support-files/thewishing-club-1.pdf
o http://www.k-5mathteachingresources.com/support-files/thewishing-club-2.pdf
5.NF.2
o http://www.k-5mathteachingresources.com/supportfiles/fractionwordproblem1.pdf
o http://www.k-5mathteachingresources.com/support4
MADISON COUNTY PUBLIC SCHOOLS
District Curriculum Map for Mathematics: Grade 5
Unit 5
files/fractionwordproblem2.pdf
http://www.commoncoresheets.com/Fractions.php
Teachers Pay Teachers
Simplifying Fractions Bingo (Free on TPT)
http://www.teacherspayteachers.com/Product/FREE-SimplifyingFractions-Bingo-428577
Penguin Fractions: Exploring the Basics ($7.50 on TPT)
http://www.teacherspayteachers.com/Product/Fractions-PenguinFractions-Exploring-the-Basics-1560335
Decimals and Fractions: City Cruisers ($5 on TPT)
http://www.teacherspayteachers.com/Product/Decimals-andFractions-City-Cruisers-1139085
Making Math Magic
o http://www.makingmathmagic.net/kcm.html
Illustrative Mathematics
o https://www.illustrativemathematics.org/content-standards/5
Illuminations
o http://illuminations.nctm.org/Search.aspx?view=search&cc=2014
_2024
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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