Math News!
Grade 3, Module 5, Topic A
Focus Area– Topic A
3rd Grade Math
Module 5: Fractions as Numbers on the Number Line
Math Parent Letter
This document is created to give parents and students a better
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. Module 5
of Eureka Math (Engage New York) covers Fractions as
Numbers on the Number Line. This newsletter will discuss
Module 5, Topic A.
Partition a Whole into Equal Parts
Students will learn how to use a ruler to measure an item
and partition (divide) the item into equal parts of a whole.
They will also identify the unit fraction. A unit fraction is
always one of the fractional unit. The fractional unit in
Topic A. Partition a Whole into Equal Parts
the above image is thirds and the unit fraction is
Vocabulary Words
•
Equal Parts
•
Unit Fraction
•
Partition
•
•
•
Fractional Unit
Non-Unit Fraction
Unit From
!
!
.
Students will also learn about non-unit fractions. A nonunit fraction is a fraction with the numerator other than 1.
!
!
!
!
The shaded part of the image above is , and
i s a non-unit
fraction because it does not have a numerator of 1.
Things to Remember!!!
Students will also have to look at various fractional shapes
and identify which fraction matches the shape.
O B J E C T I V E OF T O P I C A
1
Specify and partition a whole into equal parts, identifying and
counting unit fractions using concrete models.
2
Specify and partition a whole into equal parts, identifying and
counting unit fractions by folding fraction strips.
3
Specify and partition a whole into equal parts, identifying and
counting unit fraction by drawing pictorial area models.
4
Represent and identify fractional parts of different wholes.
While identifying fractions students will write the fraction
in unit form. Unit form is written with both numbers and
words. Writing 1 half is the unit form of the fraction .
This information was generously shared by LPSS, Lafayette, LA
Math News!
Grade 3, Module 5, Topic B
Focus Area– Topic B
3rd Grade Math
Module 5: Fractions as Numbers on the Number Line
Math Parent Letter
This document is created to give parents and students a better
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. Module 5
of Eureka Math (Engage New York) covers Fractions as
Numbers on the Number Line. This newsletter will discuss
Module 5, Topic B.
Topic B. Unit Fractions and Their Relation to the Whole
Vocabulary Words
•
Equal Parts
•
Unit Fraction
•
Partition
•
Copies of
Unit Fraction and Their Relation to the Whole
Students will understand that both the shaded and nonshaded part makes the whole. They must also represent
this as a number bond.
What fraction of the image is shaded?
!
!
or 2 thirds of the shape is shaded.
What fraction of the image is non-shaded?
•
•
•
Fractional Unit
Non-Unit Fraction
Unit From
!
!
or 1 third of the shape is non-shaded.
Students will gain a better
understanding of what
each part of the fraction
represents. They will also
gain a better understanding
of unit form and numeric
form (fraction).
•
Things to Remember!!!
When asked to decompose a whole
into unit fractions, students should
understand that a unit fraction is a
fraction with 1 as the numerator.
Once they gain this understanding they
should be able to see that
!
!
is not a
unit fraction and that they should
decompose it further.
O B J E C T I V E OF T O P I C B
1
Partition a whole into equal parts and define the equal parts to
identify the unit fraction numerically.
2
Build non-unit fractions less than one whole from unit
fractions.
3
Identify and represent shaded and non-shaded parts of one
whole as fractions.
4
Represent parts of one whole as fractions with number bonds.
5
Build and write fractions greater than one whole using unit
fractions.
Towards the end of this topic students will learn that some
fractions are larger than 1 whole. They will be asked how
many copies of a fraction are in 1 whole.
There are 3 copies of
!
!
in
one whole. There are 6
copies of
!
!
in two wholes.
They should understand
that a unit fraction will
remain the same because
there are 3 parts to 1 whole. Students should recognize
!
that is 1 whole and part of another whole.
!
This information was generously shared by LPSS, Lafayette, LA
Math News!
Grade 3, Module 5, Topic C
3rd Grade Math
Focus Area– Topic C
Module 5: Fractions as Numbers on the Number Line
Comparing Unit Fractions and Specifying the Whole
Math Parent Letter
This document is created to give parents and students a better
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. Module 5
of Eureka Math (Engage New York) covers Fractions as
Numbers on the Number Line. This newsletter will discuss
Module 5, Topic C.
Students will gain a better understanding of fractional
units while comparing unit fractions.
At the beginning of this
topic students will look at
various wholes and their
fractional parts. They will
look at unit fractions and
discover that the larger the
denominator the smaller the
fractional part is.
Topic C. Comparing Unit Fractions and Specifying the Whole
Vocabulary Words
•
Equal Parts
•
Unit Fraction
•
Partition
•
Copies of
Fractional Unit
Non-Unit Fraction
Unit From
•
•
•
•
Things to Remember!!!
Is Greater Than
5
2
Is Less Than
2
5
A fraction and a shape will be shown to the students, and
the students will make copies of the shape to create a
whole.
For instance, the grayed area is
given to the student and the
student will draw the copies of the
shape (the white area).
DIRECTIONS:
(A) The shape represents 1 whole. Write a fraction to
describe the shaded part.
!
!
(B) Let the shaded part represent 1 whole.
The larger the denominator in a unit fraction, the smaller the
fractional part is. 1 half is larger than 1 third.
(C) Divide 1 whole to show the same unit fraction as you
wrote in A.
O B J E C T I V E OF T O P I C C
1
Compare unit fractions by reasoning about their size using
fraction strips.
2
Compare unit fractions with different sized models
representing the whole.
3
Specify the corresponding whole when presented with one
equal part.
4
Identify a shaded fractional part in different ways depending
on the designation of the whole.
Students should draw a line to divide the shaded part of
shape B into halves, then label the parts.
This information was generously shared by LPSS, Lafayette, LA
Math News!
Grade 3, Module 5, Topic D
Focus Area– Topic D
3rd Grade Math
Module 5: Fractions as Numbers on the Number Line
Math Parent Letter
This document is created to give parents and students a better
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. Module 5
of Eureka Math (Engage New York) covers Fractions as
Numbers on the Number Line. This newsletter will discuss
Module 5, Topic D.
Fractions on a Number Line
Write a number bond. Partition the fraction strip to show
the unit fraction of the number bonds. Use the fraction
strip to help you label the unit fractions on the number
line. Include 0 unit fractions.
Topic D. Fractions on a Number Line
Vocabulary Words



Fraction Strip
Copies of
Partition



Number Bond
Unit Interval
Equivalent Fraction
Things to Remember!!!
Unit fraction is a fraction with the numerator of 1.
Non-unit fraction is a fraction with numerators other than 1.
Fractional unit is halves, thirds, fourths, etc.
Equal parts are parts with equal measurements.
Unit interval is the space between 0 and 1.
Equivalent fractions are fractions that name the same size.
A student will be asked to complete a number line given a
specific fraction. The student will label the number
line using fourths.
The student will be asked to write two different fraction
names for a specific point.
OBJECTIVE OF TOPIC D
1
Place unit fractions on a number line with endpoints 0 and 1.
2
Place any fraction on a number line with endpoints 0 and 1.
3
Place whole number fractions and unit fractions between
whole numbers on the number line.
4
Practice placing various fractions on the number line.
5
Compare fractions and whole numbers on the number line
by reasoning about their distance from 0.
6
Understand distance and position on the number line as
strategies for comparing fractions.
This information was generously shared by LPSS, Lafayette, LA
They will also be given a group of fractions and asked to label
the number line with the fractions given. The students will
also have to use the fractions on the number line to compare
which fractions are greater than or less than a given fraction.
Math News!
Grade 3, Module 5, Topic E
3rd Grade Math
Focus Area– Topic E
Module 5: Fractions as Numbers on the Number Line
Equivalent Fractions
Math Parent Letter
This document is created to give parents and students a better
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. Module 5
of Eureka Math (Engage New York) covers Fractions as
Numbers on the Number Line. This newsletter will discuss
Module 5, Topic E.
Students will gain an understanding that a fraction
must be the same size but may not always have the
same shape.
Topic E. Equivalent Fractions
2
4
Vocabulary Words
•
Equivalent Fraction
Directions: Label what fraction of each shape is
shaded and circle the fractions that are equal.
•
Number Bond
1
4
2
4
Students will also learn about equivalent fractions: two
fractions that are the same size.
Number Bonds!!!
2
4
=
1
2
Directions: Use the unit fractions on the right to count up
on the number line. Label the missing fractions.
Also =
O B J E C T I V E OF T O P I C E
2
Recognize and show that equivalent fractions have the same
size, though not necessarily the same shape.
Recognize and show that equivalent fractions refer to the
same point on the number line.
3
Generate simple equivalent fractions by using visual fraction
models and the number line.
4
Express whole numbers as fractions and recognize
equivalence with different units.
5
Express whole number fractions on the number line when
the unit interval is 1.
Decompose whole number fractions greater than 1, using
whole number equivalence with various models.
Explain equivalence by manipulating units and reasoning
about their size.
1
6
7
Word Problems:
8 students want to share 2 pizzas that are the same size
(represented by the circles below). How can 8 people share
the pizza equally, without breaking any pieces of pizza?
!
!
!
!
4 students each get and 4 students each get
equivalent to
!
!
, which is
.
This information was generously shared by LPSS, Lafayette, LA
Math News!
Grade 3, Module 5, Topic F
3rd Grade Math
Focus Area– Topic F
Module 5: Fractions as Numbers on the Number Line
Compare, Order, and Size Fractions
Math Parent Letter
This document is created to give parents and students a better
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. Module 5
of Eureka Math (Engage New York) covers Fractions as
Numbers on the Number Line. This newsletter will discuss
Module 5, Topic F.
Students will begin to understand the concept of
greater than and less than when comparing fractions.
Directions: Draw a model of each fraction and circle
the larger fraction.
!
!
Topic F. Compare, Order, and Size Fractions
!
Know your Symbols!!!!
!
Greater Than >
Less Than <
Equal To =
Directions: Draw a model of each fraction and circle the
smaller fraction.
4
7
Tape Diagram
4
5
1 third = 2 sixths
Partition the number line into units and then use the number
line to compare.
Sixths
Thirds
1 third > 1 sixth (greater than)
1 sixth< 1 third (less than)
O B J E C T I V E OF T O P I C F
1
Compare fractions with the same numerator pictorially.
2
Compare fractions with the same numerator using <,>, or =
and use a model to reason about their size.
3
Partition various wholes precisely into equal parts using a
number line method.
2
6
<
2
3
2 sixths is less than 2 thirds
6
3
=
6
3
6 sixths is equal to 3 thirds
5
6
>
2
3
5 sixths is greater than 2 thirds
This information was generously shared by LPSS, Lafayette, LA