Unit
1
Addition and Subtraction
with Fractions
Learning Progressions for the
Common Core State Standards Number and Operations—Fractions
In Grade 4, students
In Grade 5, students will
•represented fractions as sums of unit
fractions.
•use number lines to represent
equivalent fractions.
•composed and decomposed fractions
and mixed numbers.
•express fractions with unlike
denominators in terms of the same
unit fraction so they can be added or
subtracted.
•used bar models to represent
equivalent fractions and find sums
and differences.
In Grade 6, students will
•use number lines to represent rational
numbers.
•use bar models to visualize a sum or
difference.
•use equations and models to solve
real world problems.
•use estimation to determine whether
answers are reasonable.
Content Standards Across the Grades
Grade 4
•Use visual models to explain why
fractions are equivalent. [CC.4.NF.1]
•Recognize and write equivalent
fractions. [CC.4.NF.1]
•Compare fractions by using benchmarks
or by rewriting them with a common
numerator or denominator. [CC.4.NF.2]
•Represent non-unit fractions as sums
of unit fractions. [CC.4.NF.3]
•Add and subtract fractions and mixed
numbers with like denominators.
[CC.4.NF.3a, CC.4.NF.3b, CC.4.NF.3c]
•Solve word problems involving addition
and subtraction of fractions and mixed
numbers with like denominators.
[CC.4.NF.3d]
Grade 5
Grade 6
•Use equivalent fractions to add,
subtract, and compare fractions.
[CC.5.NF.1]
•Apply strategies for writing equivalent
fractions, including using the least
common multiple. [CC.6.NS.4]
•Add and subtract fractions and
mixed numbers with like and unlike
denominators. [CC.5.NF.1]
•Fluently add, subtract, multiply, and
divide whole numbers, decimals, and
fractions. [CC.6.NS.2, CC.6.NS.3]
•Use visual models and equations that
represent problems involving fractions.
[CC.5.NF.2]
•Solve mathematical and real world
problems involving whole numbers,
decimals, and fractions. [CC.6.NS.1]
•Solve word problems involving
addition and subtraction of fractions
and mixed numbers with like and
unlike denominators. [CC.5.NF.2]
•Estimate sums and differences of
fractions and mixed numbers and
use estimates to determine whether
answers are reasonable. [CC.5.NF.2]
UNIT 1 | Overview | 1A