Math Connections for Parents
Grade 4 Module 5
Fraction Equivalence, Ordering, and Operations
Welcome to Module 5 of the EngageNY curriculum. In this module,
students will explore finding equivalent fractions, and will continue this
study to include mixed numbers. They will compare fractions with and
without common denominators using fraction strips and number lines.
Students will add and subtract fractions with like and unlike
denominators, and will even begin to think of multiplying fractions by
thinking of repeated addition.
Important Words and Concepts
 Benchmark: standard or reference point by which
something is measured. For this module, we will
talk about benchmarks to compare fractions.
 Common Denominator: when two or more
fractions have the same denominator
 Denominator: bottom number in a fraction
 Line Plot: display of data on a number line, using
an x or another mark to show frequency.
 Mixed number: number made up of a whole
number and a fraction
 Numerator: top number in a fraction
 Compose: change a group of unit fractions with
the same denominator to a single non-unit
fraction or mixed number
 Decompose: change a non-unit fraction or mixed
number to the sum of its parts or unit fractions
 Equivalent fractions: fractions that are the same
size or amount
 Fractional unit: for example half, third, fourth
KEY STANDARDS


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Multiplication and Division within 100
Students in fourth grade are expected to know, from memory, all
products of two one-digit numbers. Continue to practice these
facts at home. Mastery of the multiplication facts will also help
students as they explore finding common denominators.

Make a number or
shape pattern
that follows a
given rule.
Explain why one
fraction is
equivalent to
another fraction
with fraction
models
Compare two
fractions with
different
numerators and
different
denominators
Understand how
to add and
subtract fractions
with like
denominators
Decompose a
fraction into a
sum of fractions
(3/8 = 1/8 + 1/8 +
1/8)
Solve word
problems with
addition and
subtraction of
fractions
Multiply a fraction
by a whole
number
For more resources, please visit www.newarkcityschools.org → Parent Math Academy K-5
Math Connections for Parents
Grade 4 Module 5
Fraction Equivalence, Ordering, and Operations
Graphics and Strategies you may see…
Students can find equivalent
fractions by multiplication, using
a fraction strip and a number line
Fractions are compared by using fraction
strips and by finding common
denominators
Students will convert fractions like 7/3 into
mixed numbers of 2 1/3
Students will also use area models to show finding
common denominators.
For more resources, please visit www.newarkcityschools.org → Parent Math Academy K-5
Math Connections for Parents
Grade 4 Module 5
Fraction Equivalence, Ordering, and Operations
Two fractions with unlike denominators can be added once a common denominator is found.
Students will use tape digrams to show how they could find a common denominator.
A Line Plot can be used to show data. This line plot uses
fractions to show distances some students ran in miles.
Students will multiply a whole number by a fraction by using a number line and
the associative property
18
8
=
16
8
2
2
8
8
+ =2
For more resources, please visit www.newarkcityschools.org → Parent Math Academy K-5