2014-2015 Curriculum Blueprint
Grade:
4
Course: Math
Approximate Time:
10 Days
Unit 7: Solving Addition and Subtraction Problems Involving Fractions and Mixed Numbers.
Learning Goal
Students are able to add and subtract fractions using various strategies, including fractions greater than
one in multiple real-world contexts.
Link to Adding and Subtracting Fractions Learning Scale
Link to Represent and Interpret Data Learning Scale
Unit Overview
Students use their understanding of adding and subtracting fractions and generating equivalent
fractions to solve problems involving fractions and mixed numbers. Students rely on their previous
work with whole numbers as fractions to compose and decompose whole numbers into fractional
quantities. Data is used in this unit to support students’ understanding of fractional quantities both
smaller and larger than 1.
Essential Question(s)
How can understanding fractions help solve real world addition and subtraction problems?
How does understanding fractional quantities help you interpret a line plot?
Focus Standards
Some standards may be revisited several times during the course; others may be only
partially addressed in different units, depending on the focus. The text of the standards
written in black font denote this focus. Text which is deemphasized with gray font will not be
addressed in this unit, but will be addressed in subsequent units. (adapted from the Charles
A. Dana Center)
Bullets are the deconstructed standards These should be used to develop concise learning
statements/daily objectives/scales. Test Item Specifications
MFAS.4.NF.2.3. (DOK 2) Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
a) Understand addition and subtraction of fractions as joining and separating parts referring to the
same whole.
b) Decompose a fraction into a sum of fractions with the same denominator in more than one way,
recording each decomposition by an equation. Justify decompositions, e.g., by using a visual
fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 +
1/8.
c) Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number
with an equivalent fraction, and/or by using properties of operations and the relationship between
addition and subtraction.
d) Solve word problems involving addition and subtraction of fractions referring to the same whole
and having like denominators, e.g., by using visual fraction models and equations to represent the
problem.
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Understand accumulating unit fractions (1/b) results in (a/b), where a is greater than 1.
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Recognize multiple representations of one whole using fractions with the same denominator.
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Replace mixed numbers with equivalent fractions, using visual fraction models.
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Replace improper fractions with a mixed number, using visual fraction models.
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Using fraction models, reason that addition of fractions is joining parts that are referring to the
same whole.
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Using fraction models, reason that subtraction of fractions is separating parts that are referring
Vertical Progression
http://www.turnonccmath.net/ K-8 Learning Trajectories (This could be used to determine
remediation needs or enrichment opportunities)
3rd Grade: Students generate data by measuring lengths and show data on a line plot in whole
numbers, halves, or quarters. Students have no prior experience with performing operations with
fractions.
5th Grade: Students add and subtract fractions or mixed numbers with unlike denominators.
Students divide fractions.
Resources
Be selective in choosing problems aligned to the
standards within each lesson. The unit sequence
should be determined through collaborative unit
planning.
Textbook Correlation
5th Grade textbook
6.1 Addition with Like Denominators
6.2 Subtraction with Like Denominators
6.8 Rename Fractions and Mixed NumbersStudents need to understand the
representational model before learning the
standard algorithm
6.9 Add and Subtract Fractions
6.10 Add and Subtract Mixed Numbers
6.11 Record Subtraction with Renaming
6.12 Fractions and Properties of Addition
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Revisit decomposing fractions using addition
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Essential Vocabulary
Associative Property of Addition
Common Factor
Commutative Property of Addition
Greatest Common Factor
Line plot
Data set
Higher Order Questions/Stems
How are fractions used in problem-solving
situations?
How can I add and subtract fractions of a given
set?
How do we apply our understanding of
fractions in everyday life?
Why does the denominator stay the same
when I add fractions with like denominators?
Create a visual model to represent your
reasoning.
Revised 8/19/2014 pg. 1
2014-2015 Curriculum Blueprint
Grade:
4
Course: Math
Approximate Time:
10 Days
Unit 7: Solving Addition and Subtraction Problems Involving Fractions and Mixed Numbers.






to the same whole.
Using visual fraction models, decompose a fraction into the sum of fractions with the same
denominator in more than one way.
Record decompositions of fractions as an equation and explain the equation and explain the
equation using visual.
Add and subtract mixed numbers with like denominators by using properties of operations and
the relationship between addition and subtraction.
Add and subtract fractions with like denominators.
Add and subtract mixed numbers by replacing each mixed number with an equivalent fraction.
Solve word problems involving addition and subtraction of fractions referring to the same
whole and having like denominators by using visual fraction models and equations to
represent the problem.
MAFS.4.MD.2.4 (DOK 2) Make a line plot to display a data set of measurements in fractions of a unit
(1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information
presented in line plots. For example, from a line plot find and interpret the difference in length between
the longest and shortest specimens in an insect collection.

Analyze and interpret a line plot to solve problems involving addition and subtraction of
fractions.
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Add and subtract fractions.
(3/4 = ¼ + ¼ + ¼ = 2/4 + ¼)
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There is no correlation to MAFS.4.MD.2.4 in
Go Math. Please refer to supplemental

resources.
Supplemental Resources
These resources may provide students with
experiences aligned to the full intent of the
standards. It is important to access many of
these resources during the planning process.
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Georgia Unit 4
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Add and Subtract Fractions: p. 18-36
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Engage NY Module 5
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Add/Subtract Fractions: Topic D, Topic F,
Topic H
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Line Plots: Topic E, Lesson 28; Topic G,
Lesson 40
Mathematical Practice Standards
Link to Mathematical Practice Standards Rubric
CPALMS: One Leg Up Measuring and Recording
using a Line Plot
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
MAFS.K12.MP.4.1 Model with mathematics.
North Carolina: Fractions Unit

How does a line plot help you organize your
data?
Writing Connections
Write a situational story problem that requires
addition or subtraction of fractions.
Write to explain how you solved the problem.
Write examples of how we apply fractions in
everyday life.
Write a situational story problem that requires
addition or subtraction of mixed numbers and
explain your strategy for solving your problem.
Using your line plot, write as many
interpretations of the data as you can make.
Writing Template Tasks These template tasks are
designed from the Mathematical Practice
Standards. When filled in, these templates become
teaching tasks that create opportunities for teaching
literacy skills in mathematics.
Link to Problem Solving Rubric
Link to Webb’s DOK Guide
4th Grade Common Core Flip Book Provides
additional information and sample problems for
every standard
Florida Interim Assessment Item Bank and Test
Platform
Revised 8/19/2014 pg. 2