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3rd Grade
Fractions
2015-03-31
www.njctl.org
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Table of Contents
Click title to go
to that section
· Equal Parts
· Fractions of a Group
Links to PARCC sample questions
Performance Based Assessment
Non-Calculator #4
Non-Calculator #5
· Exploring Fractions with Pattern Blocks
Non-Calculator #7
Non-Calculator #17
· Fractions on a Number Line
End of Year
· Comparing Fractions with Same D
enominators or
Numerators
Non-Calculator #3
Non-Calculator #8
Non-Calculator #13
· Benchmarks
Non-Calculator #17
Non-Calculator #23
· Equivalent Fractions
Non-Calculator #28
· Whole Number Fractions
· Measurement to Nearest H
Non-Calculator #30
alf and Quarter Inch
Non-Calculator #35
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Key Terms
Fraction - An expression that indicates the
quotient ( ) of
÷ two quantities.
Numerator
- The number above the fraction bar.
The numerator answers the question
"How many parts?"
Equal Parts
Return to
Table of
Contents
Denominator
- The number below the fraction
bar. The denominator answers the question
"How many total?"
Fraction =
Numerator
Denominator
=
3
7
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Where have you seen fractions? How do we use fractions?
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These are halves.
How do you write one half?
96/1
00=
A+
numerator
denominator
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These are thirds.
These are Fourths.
How do you write one third?
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Sixths
How do you show and write two sixths?
How do you show and write two fourths?
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Eighths
How do you show and write eight eighths?
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Internet links for more practice
What fractions are represented below?
Fractions Parts of a Whole Model
Fractions Naming Model
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1
Does this show
?
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2
What fraction of the whole is shaded?
Yes
No
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3
What fraction of the whole is white?
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4
What fraction could this picture show?
A
B
C
Both A and B
D
Neither A nor B
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5
How many more yellow pieces do I need to
make this fraction
?
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6 Which of the following could be used to show
A
B
C
D
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7 Bella cut her ribbon into 4 pieces that are the same
length. The length of one piece of ribbon is what
fraction of the length of the ribbon?
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9 A whole is divided into 6 equal parts. Write the
fraction that represents 1 part of the whole.
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8 A whole is divided into 4 equal parts. Write the
fraction that represents 3 parts of the whole.
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10 A whole is divided into 7 equal parts. Write the
fraction that represents 4 parts of the whole.
?
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11 Lee needs
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of a cup of sugar to make cookies. He
will measure the sugar using a
cup scoop. How
many times will Lee need to fill the
order to measure
cup scoop in
of a cup of sugar?
12 Sasha needs
She will measure the mix using a
A
B
C
cup scoop.
How many times will Sasha need to fill the
scoop in order to measure
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13 Which three shapes have parts that are
their whole shape.
of a cup of mix to make pancakes
cup
of a cup of mix?
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the area of
D
14 Select the two shapes that have parts that are each
of the area of the whole shape.
A
D
B
E
E
Drag and drop the correct three shapes into the box.
C
From PARCC sample test
From PARCC sample test
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15 A flower garden is divided into equal parts. The color
of the flowers planted in each part of the garden is
shown.
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16 Each model equals one whole divided into equal
parts. Which models show shaded?
Select the three correct answers.
Select the three statements that are true.
A There are red or yellow flowers in
B Purple flowers are planted in
C Pinks flowers are planted in
D Each part of the garden is
E There are yellow flowers in
F Red flowers are planted in
From PARCC sample test
of the garden.
A
D
B
E
C
F
of the garden.
of the garden.
of the whole garden.
of the garden.
of the garden.
From PARCC sample test
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17 An artist plans to paint a wall in a room. The wall is
divided into 6 equal parts so that each part can be
painted a different color.
Part A
The artist goes to the store to buy brushes and small
cans of paint. He pays a total of $94.
· He buys 8 brushes that cost $5 each.
· The rest of the money is used for the 6 cans of paint.
Each can of paint costs the same amount.
How much does each can of paint cost?
(Show your work on paper at your desk and be ready to explain)
From PARCC sample test
18 Part B
The artist starts painting the wall. The parts of the
wall that look white are not painted yet.
Which statements about the wall are correct?
Select the two correct statements.
A Each painted part it
of the whole wall.
B Each painted part it
C Each painted part it
of the whole wall.
of the whole wall.
D The fraction of the wall not yet painted is .
E The fraction of the wall not yet painted is .
F The fraction of the wall not yet painted is .
From PARCC sample test
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The last lesson focused on dividing a whole shape into fractions.
This lesson focuses on fractions of group of objects.
1 of the whole
2
1
2
Fractions of a Group
1 of the group of apples
2
1
2
Return to
Table of
Contents
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What fraction of the shapes are circles?
Step 1: Count the circles. This is your numerator.
Step 2: Count all of the shapes. This is the denominator.
What fraction of the nickels are heads up?
What fraction of the nickels are on tails?
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What fraction of the faces are happy?
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Circle
Circle
of the mice.
What fraction of the faces are sad?
Circle
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of the frogs.
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19 Are
of the lions in the triangle?
Yes
Click the cookie to practice fractions of a group.
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20 What fraction of the frogs are boxed below?
A
C
B
D
No
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21 What fraction is not circled?
of the lions.
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22
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23 What fraction of the flowers are not in the vase?
of the dogs are wearing a bow.
True
False
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Groups of students need:
Exploring Fractions
with Pattern Blocks
Return to
Table of
Contents
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How many
are in one
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?
The
is what fraction of the
?
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24 How many green triangles are in one red
trapezoid?
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26 How many green triangles are in one
yellow hexagon?
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28 How many blue rhombuses are in one
yellow hexagon?
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25 The green triangle is what fraction of the
red trapezoid?
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27 The green triangle is what fraction of the
yellow hexagon?
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29 The blue rhombus is what fraction of the
yellow hexagon?
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30 How many red trapezoids are in one
yellow hexagon?
31 The red trapezoid is what fraction of the
yellow hexagon?
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Small group/ individual practice
with online pattern blocks.
Click for web site.
Pattern block activity
Groups need a container of pattern blocks
and will use pattern blocks to represent
fractions of a group.
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Drag blocks needed down into work space.
Drag blocks needed down into work space.
WORK SPACE
In this group
of 8 pattern
blocks, 3 of
them are
triangles.
WORK SPACE
of the
group is
triangles
Make a group
of 5 pattern
blocks, with 2 of
them squares.
Fraction =
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Drag blocks needed down into work space.
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Drag blocks needed down into work space.
WORK SPACE
WORK SPACE
Make a group
of 3 pattern
blocks, with 2 of
them hexagons.
Make a group
of 7 pattern
blocks, with 6 of
them trapezoids.
Fraction =
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32 What fraction of this group of pattern
blocks is squares?
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34 What fraction of this group of pattern
blocks is hexagons?
Fraction =
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33 What fraction of this group of pattern
blocks is triangles?
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35 What fraction of this group of pattern
blocks is trapezoids?
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36 What fraction of this group of pattern
blocks is triangles?
Fractions on a
Number Line
Return to
Table of
Contents
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How did you know what the number was?
There are numbers between 0 and 1.
0
1
What is a number that is greater than
0 but less than 1?
0
1
The number line was divided into 2 equal sections.
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What denominator would you use if the number line
was divided into 3 equal parts?
0
What denominator would you use if the number line
was divided into 4 equal parts?
1
0
1
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37 Should you use a 6 in the denominator for this
number line?
38 What denominator would you use to
represent the lines on this number line?
Yes
No
0
1
0
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39 What denominator would you use to
represent the lines on this number line?
0
40 What denominator would you use to
represent the lines on this number line?
1
0
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1
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Move the fractions to label the
lines on the number line.
41 What denominator would you use to
represent the lines on this number line?
0
1
1
0
1
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Divide the number line into
7 equal parts and label it.
Divide the number line into
5 equal parts and label it.
0
1
0
1
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42 What fraction is missing from the number line?
Click for Number Line Game
A
C
B
D
0
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?
3 4
5 5
1
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43 What is the fraction for
the red dot?
0
1
5
44 What is the fraction for
the red dot?
1
0
?
1
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45 What is the fraction for
the red dot?
46 Where should
0
?
0
A
X
0
C
Y
Z
A
1
B
C
C
D
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49 The point on the number line below represents the
fraction . Which point shows 1?
B
1
48 The point on the number line below represents the
fraction . Which point shows ?
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A
C
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47 What fraction should be placed
with point Z?
B
B
1
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A
be placed?
D
50 The point on the number line below represents the
fraction . Which point shows 0?
A
B
C
D
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51 Which letter shows where
number line?
A
B
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would be plotted on the
C
D
52 Which letter is positioned at
B
A
?
C D
From PARCC sample test
From PARCC sample test
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53 A fraction is shown on the number line.
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54 Which letter is positioned at ?
A
B
C
D
Which letter is positioned on the number line to
show a fraction that is equivalent to the fraction
shown on the other number line?
A
B
C D
From PARCC sample test
From PARCC sample test
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55 Mia placed point P on the number line.
What is the value of P as a fraction?
A
C
B
D
Comparing
Fractions
What does the denominator of your fraction
represent on the number line?
What does the numerator of your fraction represent
on the number line?
From PARCC sample test
Return to
Table of
Contents
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To compare fractions, you could use pictures or number lines to
determine which fractions are greater. By using these strategies,
you will come up with some rules to remember.
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Let's compare 4/5 and 2/5. Which one is greater?
How do you know?
1
5
0
1
What rule could you use when comparing fractions with the same
denominator?
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Compare each set of fractions. (Drag fraction to
box on right to see the inequality symbol)
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56
2 < 4
6
6
1 < 2
2
2
4 > 2
5
5
3 > 2
4
4
A

C
=
1 < 2
3
3
Slide each problem over to the blue side to see if you are
correct.
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57
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58
A
<
A

B
>
C
=
C
=
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60
59
A

C
=
Classroom A has of the students
buying school lunch. Classroom B has
of the students buying lunch. Which
classroom has the
larger fraction of the
students buying lunch?
A
Classroom A
B
Classroom B
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Let's compare 1/5 and 1/2. Which one is greater?
How do you know?
0
1
5
Compare each set of fractions. Move the magnifying glass
to see if you are correct.
1 > 1
2
3
1
2 < 2
5
2
1
2
3 > 3
4
5
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is less than
.
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62
Which fraction is greater than
A
Yes
No
5 < 5
9
7
4 > 4
6
8
What rule could you use when comparing fractions with the same
numerator?
61
6 < 6
12 10
B
C
Both A and B
D
Neither A Nor B
?
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63
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64
A
<
A

B
>
C
=
C
=
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65
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Click the fish to practice comparing
fractions with the same denominators or
the same numerators.
A

C
=
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66 Enter a fraction larger than
.
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67 Enter a fraction larger than
.
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68 Enter a fraction less than
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69 Enter a fraction less than
.
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.
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70 Which three comparisons are true?
71
<
Select the three fractions that make this comparison true.
A
=
B
=
A
C
=
B
D
=
C
E
=
D
E
From PARCC sample test
From PARCC sample test
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0
1
Benchmark
F ractions
Return to
Table of
Contents
This circle has
of it shaded.
This is very
close to zero.
This circle has
of it shaded.
This is very
close to one.
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0
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0
1
<
<
This rectangle
has of it shaded.
This is very
close to one.
This rectangle
has of it shaded.
This is very
close to zero.
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0
1
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0
1
1
This group has
of it sharks.
This is very close
to zero (or none
of the group).
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This group has
of it dogs.
This is very
close to one (or
the whole group).
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72 Which fraction is closest to zero?
0
1
<
A
B
C
D
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73 Which fraction is closest to zero?
A
B
C
74 Which fraction is closest to one?
D
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A
B
C
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75 Which fraction is closest to one?
A
B
C
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D
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D
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0
1
0
1
<
<
We can also see if a fraction is equal to
or close to .
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0
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1
0
1
<
Very close
to zero.
Very close
to .
Very close
to one
whole.
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0
This group has
of it purple
stars, this
is very close to
zero.
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1
This group has
of it pink
hearts, this
is very close
to of the
group.
<
This group has
of it blue
triangles, this
is very close
to the whole
group.
0
1
<
<
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Move the magnifier to find the
fractions that are close to half.
79 Which fraction is closest to
A
B
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80 Which fraction is closest to
A
B
81 Which fraction is closest to
D
A
B
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82 Which group shows about
stars?
A
B
C
D
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?
C
?
?
C
D
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83 Which group shows about
circles?
of it as
C
A
B
of it as
C
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Key Term
Equivalent Fractions- Fractions that represent the
same number or are equal to one another.
Equivalent
Fractions
Return to
Table of
Contents
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How many 1/4 pieces fit in the 1/2 piece? Write as a fraction.
How many 1/6 pieces fit in a 1/3?
How many 1/6 pieces fit in the 1/2 piece?
1/3
1/6 pieces
How many 1/8 pieces fit in the 1/2 piece?
1/2
1/4 pieces
1/6 pieces
1/8 pieces
We show equivalence by writing both
fractions with an equal sign.
=
These fractions are equivalent.
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The fraction bars below are equivalent because they are the
same size.
1
9
1
9
What do you notice about the denominators in each
set of equivalent fractions?
Drag the red rectangle to see equivalent fractions on number lines.
1
9
What do you notice about the numerators and
denominators?
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To create equivalent fractions, multiply
(or divide) the numerator and denominator by the
same number.
Practice finding equivalent fractions with this
game. Click the star to play!
2 x3 =
6
4 x 3 = 12
6
÷3 =
21
÷3 =
2
7
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84 Are the shaded areas equivalent?
Yes
No
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85 Which fraction is equivalent to
A
C
B
D
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86 Write a fraction equivalent to
1 .
3
?
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87 Which set of fractions is equivalent?
A
1 = 2
2
2
C
1 = 3
3
6
B
4 = 1
8
4
D
3 = 9
7 21
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88 Write a fraction equivalent to
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5
.
9
Whole Number Fractions
Return to
Table of
Contents
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This is read as 3 over 1.
Numerator = How many parts?
It is 3 parts of 1 total.
Denominator = How many total?
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If each circle is one whole,
then this picture shows that
3 wholes are shaded.
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The fraction bar means division. If you
take the whole number 3 and divide it by 1.
What would your answer be?
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89 What whole number is
equal to?
A
B
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90 What whole number is
equal to?
C
4
D
1
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91 What whole number is
equal to?
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92 What fraction is equal to the whole
number 7?
93 What fraction is equal to the whole
number 8?
A
B
C
D
7
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94 What fraction is equal to the whole
number 3?
Measurement to
the
Nearest Half and Quarter
Inch
Return to
Table of
Contents
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Inch
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Follow these steps to measure something correctly:
Small units of length are called inches.
· Determine the unit you are measuring in.
The abbreviation of inch is in.
· Choose the correct tool.
Depending on how big your thumb is,
your thumbnail can be about 1 inch.
· Correctly line up the measuring tool.
Can you think of some things you could
measure in inches?
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Let's measure this line in inches.
· Measure to the nearest unit.
· Label your measurement.
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Let's measure this line in inches.
x Determine the unit you are measuring in.
Determine the unit you are measuring in.
Choose the correct tool.
Choose the correct tool.
Correctly line up the measuring tool.
Correctly line up the measuring tool.
Measure to the nearest unit.
Measure to the nearest unit.
Label your measurement.
Label your measurement.
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Let's measure this line in inches.
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Let's measure this line in inches.
x Determine the unit you are measuring in.
x Choose the correct tool.
x Determine the unit you are measuring in.
x Choose the correct tool.
x Correctly line up the measuring tool.
Correctly line up the measuring tool.
Measure to the nearest unit.
Measure to the nearest unit.
Label your measurement.
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Label your measurement.
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Let's measure this line in inches.
x Determine the unit you are measuring in.
x Choose the correct tool.
x Correctly line up the measuring tool.
x Measure to the nearest unit.
Click on The Ruler Game to practice measuring in inches.
Label your measurement.
3 in.
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95 This line is 4 inches long.
Yes
No
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96 How long is this line?
_____ in.
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97 How many inches is this pencil?
_____ in.
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98 How many inches is this crayon?
_____ in.
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In between each of the numbers on a ruler are 1/2 inches.
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Let's measure in half inches.
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Let's measure in half inches.
Correctly line up the measuring tool.
Correctly line up the measuring tool.
Measure to the nearest half inch.
Measure to the nearest half inch.
Label your measurement.
Label your measurement.
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Let's measure in half inches.
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Let's measure in half inches.
Correctly line up the measuring tool.
Correctly line up the measuring tool.
Measure to the nearest half inch.
Measure to the nearest half inch.
Label your measurement.
Label your measurement.
3 1/2 in.
3 1/2 in.
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100 This line is
Click on The Ruler Game to practice measuring in half inches.
inch long.
Yes
No
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101 How many inches is this
comb?
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102 How many inches is this
card?
_____ in.
_____ in.
A
3 1/2 in.
A
3 1/2 in.
B
2 in.
B
2 in.
C
2 1/2 in.
C
2 1/2 in.
D
1/2 in.
D
1/2 in.
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103 How long is this line?
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When measuring an object, we can get a more exact
measurement using
inch increments.
_____ in.
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What do you notice about
inch?
104 Is
inches equivalent to
inches?
Yes
in.
No
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105 Is
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in. equivalent to
in.?
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Let's measure in quarter inches.
Yes
Correctly line up the measuring tool.
No
Measure to the nearest quarter inch.
Label your measurement.
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Let's measure in quarter inches.
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Let's measure in quarter inches.
Correctly line up the measuring tool.
Correctly line up the measuring tool.
Measure to the nearest quarter inch.
Measure to the nearest quarter inch.
Label your measurement.
Label your measurement.
in.
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106 Measure the line.
Students type their answers here
Click to practice measuring in quarter inches.
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107 Measure the line.
Students type their answers here
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108 Measure the line.
Students type their answers here
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109 Measure the line.
Students type their answers here
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111 Measure this object.
Students type their answers here
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113 Measure this object.
Students type their answers here
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110 Measure the object.
Students type their answers here
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112 Measure this object.
Students type their answers here
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114 Measure this object.
Students type their answers here
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115 Measure this object.
Students type their answers here
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117 Measure this object.
Students type their answers here
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119 Measure this object.
Students type their answers here
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116 Measure this object.
Students type their answers here
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118 Measure this object.
Students type their answers here