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MATH NEWS
Grade 5, Module 4, Topic D
OBJECTIVES OF TOPIC D
(
5
th Grade Math
Module 4: Multiplication and Division of Fractions and Decimal Fractions
Math Parent Letter
This document is created to give parents and students an
understanding of the math concepts found in Eureka Math (©
2013 Common Core, Inc.) that is also posted as the Engage
New York material which is taught in the classroom. Grade 5
Module 4 of Eureka Math (Engage New York) covers
Multiplication and Division of Fractions and Decimal Fractions.
This newsletter will discuss Module 4, Topic D. In this topic
students will write and evaluate expressions with parentheses,
interpret numerical expressions, and solve and create fraction
word problems.
Topic D: Fraction Expressions and Word Problems
Words to know:
evaluate expression
numerical expression tape diagram
Things to Remember!
Expression – a group of numbers and symbols that shows
a mathematical relationship
Example: + +
Numerical Expression - A mathematical phrase involving
only numbers and one or more operational symbol
Example:
x (6 + 14)
Evaluate – to find the value of an expression
Tape Diagram – Drawing that looks like a segment of
tape, used to illustrate number relationships.
Compare and evaluate expressions with parentheses.
Solve and create fraction word problems involving
addition, subtraction, and multiplication.
Focus Area– Topic D
Module 4: Multiplication and Division of Fractions and Decimal Fractions
Write an expression to match a tape diagram.
Then evaluate.
Example 1:
***************************************************
Example 2:
Expression:
1
3
x (8 + 5) The tape diagram is showing the sum
of 8 and 5.
Evaluate:
1
3
x (8 + 5)
=
1
3
x 13
=
1 X 13
3
=
13
3
= 41
3
8 + 5
?
?
2
3
+ 1
2
Expression: (
3
+
1
) x 4 The tape diagram is showing 4 copies
of
+
.
Evaluate: (
3
+
1
) x 4
= (
+
3
) x 4
=
x 4
=
=
= 4
or 4
3
Remember when adding fractions
with unlike denominators, you
find equivalent fractions to create
like denominators.
3
x
=
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Write and evaluate an expression from word form.
Example 1: 4 times 2 divided by 3
Expression: (4 x 2) ÷ 3
Evaluate: 8 ÷ 3
=
= 2
*************************************************************************************************************************
Problem: Compare expressions in word form and numerical form.
Subtract 2 from
of 9 (11 ÷ 2) – 2
( x 9) – 2 = (11 ÷ 2) - 2
= 4 - 2 = 5 - 2
= 2 = 3
Subtract 2 from
of 9 (11 ÷ 2) – 2
***************************************************************************************************
Problem Solving: Crissy and Crystal share a 16 ounce box of cereal. By the end of the week, Crissy has eaten 3
of the box and
Crystal has eaten 1
of the box of cereal. What fraction of the box is left?
Strategy #1
3
+
1
1 box -
=
3
+
= 1 -
=
of the box eaten =
3
of the box left
3
of the box of cereal is left.
**************************************************************************************************************************
Create a story problem about a fish tank for the tape diagram below. Your story must include a fraction.
Example 2: 3 times as much as the sum of
and
Expression: (
+
) x 3
Evaluate: (
+
) x 3
=
x 3
=
=
= 2
or 2
Strategy #2
Crissy: 3
x 16 oz Crystal: 1
x 16 oz 6 oz + 4 oz = 10 oz
=
3 1
=
1 1
16 oz – 10 oz = 6 oz left
=
1
= 6 oz =
1
= 4 oz
1
=
3
of the box left
1
2
1
4
36
?
Possible story problem:
There are 36 fish in a fish tank.
of the fish
are goldfish and the rest are mollies. How
many mollies are in the fish tank?
Solution:
x 36
=
3
=
1
1
= 12
There are 12 mollies in the fish tank.
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6
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