3.3 - Fractions Study Guide
Learning Goals
a) name and write fractions (including mixed numbers) represented by a model
b) model fractions (including mixed numbers) and write the fractions’ names; and
c) compare fractions having like and unlike denominators, using words and symbols
Vocabulary
Fraction - part of a group or part of a whole
Mixed Numbers - a quantity expressed as a
number and a proper fraction
Model - Something that is made to be like
another thing
Numerator - The top number in a fraction.
Shows how many parts we have.
Denominator - The bottom number in a
fraction. Shows how many equal parts the item
is divided into
Essential Understandings:
A fraction is a way of representing part of a whole (as in a region/area model or a measurement
model) or part of a group (as in a set model). Fractions are used to name a part of one thing or a part
of a collection of things.
This is a whole with
1
shaded.
4
(Region/area model)
2
shaded.
3
(Set model)
This is a group with
5
This linear model shows the mixed number 1
representing the shaded cubes.
10
 Compare fractions using pictures or words (with the same or different denominators):
1 1

2 3
1 1

10 4
1 1

8 8
Practice At Home
Have your child divide objects into equal size parts (pizza into eights, sandwiches into fourths, etc)
and then name the parts. Additionally, use a set of objects (8 stuffed animals) and then describe the
3
parts ( of the stuffed animals are bears). Have your child practice recognizing and writing fractions
8
1
1
that describes quantities when cooking ( cup of milk, 1 cups of flour, etc.)
2
4
Sample Questions
Which model represents the fraction 3/8?
A
Which number sentence is true?
A
is greater than
B
is greater than
C
is less than
B
C
D
What fraction of the circle is shaded?
A
is less than
D
B
C
D
What mixed number represents the shaded part
of the ruler?
Use the symbols ( >, <, = ) to make the following
true.
_____
A
2
B
2
C
3
D
4
A
B
C
>
<
=