Step Up to the TEKS
by GF Educators, Inc.
Fourth Grade
Math Book
am
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Student Edition
Student:
at
e
Teacher:
ic
pl
u
D
ot
N
o
D
S
Classroom:
Copyright © 2014
w w w.StepUpT EK S.c om
I can ...
TM Interpret Base-Ten
Teaching
Model
Use the place-value chart to complete the table:
Number
10 Times the
Number
20
200
1
10
of the Number
2.0
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e
Place Value
0.8
6,000
700,000,000
at
e
0.09
pl
ic
Thinking Mathematically
D
u
Each place value to the right of the decimal point is multiplied by .
4th Grade Mathematics
o
N
.
D
S
ot
Each place value to the left of the decimal point is multiplied by 1
© 2014
Not For Duplication
GP Interpret Base-Ten
Guided
Practice
Name:
TEKS 4.2A Supporting
Place Value
1 If 37,000 is 37 x 1,000, then 68,000 is
1,000.
x
You must show your work.
2 Complete this statement:
am
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e
100 is 10 times as much as ___ _.
0.06 is as 0.6.
5,000 is as 500.
800 is as 8,000.
at
as 30.
Number of Dollars
& Cents
D
Number of
Dimes
u
pl
4 Lana has been saving only dimes in two different
piggy banks during the month of September. She
visited the bank and exchanged her dimes for dollar
bills. Complete the following chart.
ic
300 is e
3 Complete these statements with “10 times as much”
1
or “ 10 as much”:
N
S
76
ot
55
D
o
Explain what you did to change the dimes to dollars?
How many total dollars will she be able to exchange
for her dimes?
Not For Duplication
© 2014
2
4th Grade Mathematics
IP
Independent
Practice
Interpret Base-Ten
Name:
Place Value
TEKS 4.2A Supporting
1 The distance between Meg’s house and the school is 444.44 meters. Which
statement about the values of the digits in the distance, in meters, between Meg’s
house and the school is true?
hundreds place is 10 times greater than the value of the
tenths place is 10 times greater than the value of the 4
tenths place is one-tenth the value of the 4 in the tens
am
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A The value of the 4 in the
4 in the ones place.
B The value of the 4 in the
in the hundredths place.
C The value of the 4 in the
place.
D The value of the 4 in the
ones place.
hundredths place is one-tenth the value of the 4 in the
1
2 Hal has a collection of 1,000 miniature cars. His brother Glen has 10 the number of
1
cars that Hal has. Their friend Mac has 10 the number of cars that Glen has. How
many miniature cars does Mac have?
ic
at
e
A1,000
B100
C10,000
D10
as much as 90.
u
1
100
C 900 is 10 times as much as 90.
as much as 900.
o
4 The number 0.05 is ―
N
1
10
S
D 9 is
ot
B 90,000 is 100 times as much as 9,000.
D
A 900 is
pl
3 Which of the following statements is true?
B
1
100 as much as 5
1
10 as much as 5
D
A 100 times as much as 5
C
D 1 times as much as 5
4th Grade Mathematics
3
© 2014
Not For Duplication
IP
Independent
Practice
Interpret Base-Ten
Name:
TEKS 4.2A Supporting
Place Value
1 Complete the following statement:
1
10 of 500 is ―
5 2,000 is 100 times as much as what
number?
A20
B 5 tenths
B2
C 5 hundreds
C0.02
D 5 hundredths
D200
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A 5 tens
6 The number 40,000 is ―
2 10 times as much as 0.08 is ―
A 1,000 times as much as 4
B800
B 10,000 times as much as 4
C80
C 10 times as much as 4
D0.8
D 100 times as much as 4
at
e
A8
3 Brandon has collected 70 species of
1
butterflies. Edward has collected 10 as
many as Brandon. How many species
of butterflies has Edward collected?
u
pl
ic
7 Mary bought 3 pounds of peanuts at
the county fair. Her mother wanted to
buy some peanuts for later in the week
and bought 10 times as many peanuts
as Mary. How many peanuts did Mary’s
mom buy?
D
A700
ot
B7000
C7
S
B 30 pounds
C 13 pounds
D 33 pounds
D
A5
o
4 10 times as much as 0.5 is ―
N
A 3.3 pounds
D0.71
B500
C50
D0.05
Not For Duplication
© 2014
4
4th Grade Mathematics
I can ...
TM Represent Value of Digits
Teaching
Model
Place Value
1Which of the following is 413.26 represented in expanded notation?
A 400 + 10 + 3 + 0.02 + 0.06
B 400 + 10 + 3 + 0.2 + 0.6
C 40 + 10 + 3 + 0.2 + 0.06
am
pl
e
D 400 + 10 + 3 + 0.2 + 0.06
2 Which of the following is true about the number 6.48?
A The digit 4 has the value of 0.04.
B The digit 6 has the value of 600.
C The digit 8 has the value of 0.08.
at
e
D The digit 4 has the value of 40.
ic
Thinking
Thinking Mathematically
Mathematically
u
pl
What is a digit?
D
Give an example
N
S
ot
What is a number?
D
o
Give an example
What is the difference between a digit and a number?
4th Grade Mathematics
5
© 2014
Not For Duplication
GP Represent Value of Digits
Guided
Practice
Name:
TEKS 4.2B Readiness
Place Value
1 Create
• a 5
• a 2
• a 9
a number with:
in the ten-thousands place
in the tens place
in the hundredths place
4 I am a number. When you switch my
ten-thousands digit with my hundreds
digit, I become 915,874. What
number am I?
A958,174
Write digits in the boxes to represent
the number.
am
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e
B985,174
C918,574
,
,
.
D951,874
5 Which statement about the number
426.18 is not true?
2 Ella entered this number into her
calculator.
A The digit 2 has the value of 20.
B The digit 8 has the value of 0.08.
17:00
m-
at
ic
m+
D The digit 4 has the value of 400.
mr
pl
mc
e
12,345
C The digit 1 has the value of 10.
u
What number should she add to this
number to increase the digit in the
D
6 Which statement about the number
58.47 is true?
ot
thousands place by 6?____________
N
A The digit 4 has the value of 40.
A3
B The digit 8 has the value of 80.
C The digit 7 has the value of 0.07.
o
D The digit 5 has the value of 500.
D
S
3 By how much would the value of 4,536
be decreased if the 4 were replaced by
a 1?
B300
C3,000
D30,000
Not For Duplication
© 2014
6
4th Grade Mathematics
IP
Independent
Practice
Represent Value of Digits
Name:
Place Value
TEKS 4.2B Readiness
1 Four students represented some numbers on a chart like the one below:
Bart
42 thousands
Concha
42 hundreds
Dara
4 ten thousands +2
thousands
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Abel
4 ten thousands +2
hundreds
Which two students represented the same number?
A Abel and Bart
CAbel and Concha
B Bart and Dara
DBart and Concha
at
e
2 Lila’s cat weighs three and seventy-five hundredths kilograms. What is the weight
represented in expanded notation?
C 3 + 0.7 + 0.5
B 3 + 0.07 + 0.05
D3 + 0.7 + 0.05
u
pl
ic
A 3 + 0.07 + 0.5
D
3 Texas Stadium was filled almost to capacity with 64,538 fans. What is the value of
the digit 4 in 64,538?
C40,000
D400
N
ot
B4,000
S
A40
D
o
4 The distance from the North Pole to the equator is twelve thousand, four hundred
twenty-nine and ninety-one hundredths miles. How would this number be
represented in both numerals and expanded form?
A 12,429.91: 10,000 + 2,000 + 400 + 20 + 9 + 0.9 + 0.01
B 12,429.91: 10,000 + 2,000 + 200 + 40 + 0.9 + 0.01
C 12,249.910: 10,000 + 2,000 + 200 + 40 + 9 + 0.91
D 12,429.19: 10,000 + 2,000 + 400 + 20 + 9 + 0.1 + 0.09
4th Grade Mathematics
7
© 2014
Not For Duplication
IP Represent Value of Digits
Independent
Practice
Name:
TEKS 4.2B Readiness
Place Value
1 Which of these represents the number 5,005,014.24?
A Five million, five hundred, fourteen and twenty-four hundredths
B Five million, five thousand, fourteen and twenty-four hundredths
C Five thousand, five hundred, fourteen and twenty-four tenths
am
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D Five million, five thousand, fourteen and twenty-four tenths
2 Kris is thinking of a number that has 6 digits. There is a 2 in the hundred thousands
place. There is a 5 in the ten thousands and ones places. There is a 9 in the
thousands and tens places. There is an even number in the hundreds place. The 6
digits add to 36. Write the number below.
C 154,090,000 mi
D 154,900,000 mi
pl
A 154,090 mi
B 154,900 mi
u
ic
at
e
3 Blake is writing a report about the planet Mars. Mars is one hundred fifty-four
million, nine hundred thousand miles from the Sun. How should he represent this
number in standard form?
N
C 70,926 mi
D 7,926 mi
o
A 700,926 mi
B 79,026 mi
S
ot
D
4 The diameter of the Earth is seven thousand, nine hundred twenty-six miles. How
could this amount be represented in standard form?
Aseven
B seven tenths
C seven hundredths
D seven thousandths
Not For Duplication
© 2014
D
5 Some adult hummingbirds weigh as little as 0.07 ounces. What is the value of the 7
in 0.07?
8
4th Grade Mathematics
IP Represent Value of Digits
Independent
Practice
Name:
Place Value
TEKS 4.2B Readiness
James threw 6 darts at the board below:
am
pl
e
100,000
10,000
1,000
100
10
1
at
e
1 Three of his darts hit the 10,000 point section, 1 dart hit the 100,000 section, and
2 darts hit the 100 section. Which expanded form below represents the number of
points that James scored?
A 30,000 + 1,000 + 200
ic
B 100,000 + 30,000 + 200
pl
C 300,000 + 10,000 + 2,000
u
D 100,000 + 10,000 + 100
D
2 Sam scored 2,056,000 points in a video game. Which of the following expressions
below represents the number 2,056,000?
ot
A 200 + 50 + 6
N
S
B 2,000 + 50 + 6
C 2,000,000 + 500,000 + 60,000
D
o
D 2,000,000 + 50,000 + 6,000
3 Karl threw 8 darts at the same board as James. His score was 140,320. Which
correctly represents the sections where Karl’s darts landed?
A 100,000 (1)
10,000 (4)
100 (3)
1 (2)
B 100,000 (1)
1,000 (4)
100 (3)
10 (2)
C 100,000 (1)
10,000 (4)
D 10,000 (1)
4th Grade Mathematics
1,000 (4)
100 (3) 10 (2)
100 (3)
10 (2)
9
© 2014
Not For Duplication
IP Represent Value of Digits
Independent
Practice
Name:
Place Value
TEKS 4.2B Readiness
Populations are listed below.
Populations in 2011
6,974,000,000
Africa
995,000,000
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e
World
Asia
4,140,000,000
739,000,000
North America
529,000,000
South America
386,000,000
How could the population of the World be written in word form?
A Six hundred billion, nine hundred seventy-four million
pl
C Six million, nine hundred seventy-four million
ic
B Six billion, nine hundred seventy-four million
at
1
Europe
e
23,000,000
Australia
How could the population of Asia be written in expanded notation?
D
2
u
D Six billion, nine hundred seventy-four thousand
ot
A 4,000,000,000 + 100,000,000 + 40,000,000
N
S
B 4,000,000,000 + 1,000,000,000 + 40,000,000
C 4,000,000,000 + 100,000,000 + 40,000
D
3
o
D 4,000,000,000 + 10,000,000 + 4,000
How could the population of Africa be written in expanded notation?
A 900,000,000 + 90,000 + 5,000
B 500,000,000 + 400,000,000 + 50,000,000 + 40,000,000 + 5,000,000
C 50,000,000 + 40,000,000 + 5,000,000 + 4,000,000 + 500,000
D 900,000,000 + 9,000,000 + 5,000,000
Not For Duplication
© 2014
10
4th Grade Mathematics
I can ...
TM Compare and Order-Represent
Teaching
Model
Place Value
A group of numbers is shown below.
254,374,728254,375,228254,385,228254,375,238
am
pl
e
Which statement about two of these numbers is true?
A 254,385,228 = 254,375,228, because 228 = 228
B254,374,728 > 254,375,228, because 728 > 228
C254,375,228 < 254,375,238, because 28 < 38
at
e
D254,374,728 > 254,375,238 because 728 > 238
ic
Thinking
Thinking Mathematically
Mathematically
The symbol > always points to the
D
u
pl
number.
number.
4th Grade Mathematics
N
o
D
S
ot
The symbol < always points away from the
11
© 2014
Not For Duplication
GP Compare and Order-Represent
Guided
Practice
Name:
TEKS 4.2C Supporting
Place Value
1 Which pair of numbers is true?
A
B
C
D
5,109
7,805
7,805
5,109
>
<
>
=
You must show your work.
5,190
7,850
7,981
5,190
am
pl
e
2 Four people collect baseball cards as shown on the
table.
Name
Baseball Cards
Charles
275
Jose
352
James
225
Juan
265
at
ic
u
pl
James' cards < Juan's cards
Charles' cards> James' cards
James' cards > Juan's cards
James' cards > Jose's cards
D
A
B
C
D
e
Since Jose had more cards than anyone else, he
decided to give 55 of his cards to James. Which
statement is true after Jose gave away 55 of his
cards?
N
o
D
S
ot
3 Charlie manages an amusement park. On July 2nd
there were 794,329 tickets sold. On July 3rd there
were 6,978,310 tickets sold. On July 4th there were
35,439,301 people that enjoyed the park. On July
5th, a Sunday, 6,898,739 people came. Compare the
number of tickets sold each day using <, >, and =.
Not For Duplication
© 2014
12
4th Grade Mathematics
IP
Independent
Practice
Compare and Order-Represent
Name:
Place Value
TEKS 4.2C Supporting
1
Use a >, <, or = to complete each
comparison below.
4 Which statement is true about the
number 800,401?
A
B
C
D
15,960
=
>
<
<
800,410
800,401
800,410
800,041
am
pl
e
15,906
800,401
800,400
800,401
800,401
120,104
12,104
5 Which is a correct comparison?
200,690
400,524,130
290,060,915
290,600,905
100,250,123
100,205,130
100,205,013
100,200,103
>
<
=
>
100,250,130
100,205,128
100,205,103
100,200,013
at
400,524,103
A
B
C
D
e
2,000,609
ic
6 Which number and symbol can be used
to make the comparison true?
2 Which number and symbol can be used
to make the comparison true?
_______ 120,980
100,000,871
100,930,240
100,093,000
100,930,014
4th Grade Mathematics
>
<
=
>
u
33,199
34,105
34,200
35,099
ot
N
o
7 Which number makes the comparison
true?
820,491,041 > _______
D
3 Which is a correct comparison?
A
B
C
D
<
=
>
<
D
130,405 < 120,000,980 =
120,899 >
120,909 <
S
A
B
C
D
A
B
C
D
pl
34,150 _______
1,000,000,000 100,905,790
100,093
100,903,015
A822,315,006
B820,505,209
C820,500,052
D802,492,042
13
© 2014
Not For Duplication
IP Compare and Order-Represent
Independent
Practice
Name:
Place Value
TEKS 4.2C Supporting
1 Which of the following compares the
populations correctly?
The top five states with the greatest
populations are listed below with their
land areas.
US Population
7,496,515
African American
29,986,060
Hispanic
22,354,059
Caucasian
199,686,070
Population
Land Area
(square miles)
California
37,253,956
163,695
Texas
25,145,561
268,820
New York
19,378,102
54,566
Florida
18,801,310
65,755
Illinois
12,830,632
57,914
State
am
pl
e
Asian
2 The population and land area of several
states are listed below.
52,423
Alaska
603,617
1,700,139
Arizona
4,217,940
114,006
Geogia
7,200,882
59,441
Hawaii
1,186,815
10,932
ot
4 Which conclusion can be drawn from
the chart?
N
S
pl
4,252,982
Alabama
u
Land Area
(square miles)
D
Population
State
ic
State Population and Land Area
o
Which of the following compares the
population and land areas correctly?
© 2014
D
A Alabama's Population < Alabama's
Land Area
B Alaska's Land Area > Alaska's
Population
C Hawaii's Population < Hawaii's Land
Area
D Arizona's Population < Arizona's
Land Area
Not For Duplication
3Which conclusion can not be drawn
from the chart?
A New York's population < Texas'
population
B Texas' land area > California's land
area
C The sum of New York's, Florida's
and Illinois' land area < Texas' land
area.
D New York' population < Florida's
population
e
AHispanic > African American
B Other Races < Asian
C African American > Hispanic
DAsian > Caucasian
at
9,804,847
Other Races
14
A The population of Illinois is half of
New York’s population.
B The population of California is
greater than the sum of New York
and Florida’s population.
C The population of California is twice
that of Texas.
D The population of Texas is twice
that of Illinois.
4th Grade Mathematics
IP Compare and Order-Represent
Independent
Practice
Name:
Place Value
TEKS 4.2C Supporting
4Mark has 725 white pages left to use
with the laser printer and 694 pages
of blue card-stock left. Which of the
following comparisons is true?
1 Jorge helped his team raise $1,452 for
a local charity. Marissa helped her team
raise $1,509. Which of the following
compares the amounts collected
correctly?
<
>
<
=
$1,509
$1,509
$1,452
$1,452
725
725
694
725
<
>
>
=
694
694
725
694
am
pl
e
A $1,452
B $1,452
C $1,509
D $1,509
A
B
C
D
2 Mr. Chavez wrote the following
statement on the board.
3,508 <
2,097
2,097
2,480
2,480
D
14,205
14,205
14,270
14,270
14,204
14,204
14,250
D
14,250
o
14,250, 14,205, 14,270, 14,204
6 Julie stayed after school one day to
help her teacher in the classroom. Mrs.
Mason asked Julie to write the following
numbers in order from least to greatest
on one of her sentence strips. Julie was
given the following numbers: 807, 729,
834, and 738. Compare the numbers
correctly.
ot
N
S
3 Compare the following numbers
correctly.
4th Grade Mathematics
<
=
<
>
u
A3,005
B3,450
C3,504
D3,510
2,480
2,480
2,097
2,097
ic
A
B
C
D
at
e
He asked each student to write a
number for the box that would make
the statement true. Only 1 of the four
students he called on had a correct
answer. Their numbers are written
below. Which number goes in the box
to correctly compare the numbers?
pl
5 Mrs. Helm makes copies of worksheets
for the teachers in the copy room
each day. She records the number of
worksheets she copies each month and
turns it into the principal. Last month
she copied 2,480 math worksheets and
2,097 reading worksheets for fourth
grade. Which of the following compares
the math and reading worksheets
correctly?
807
729
729
834
834
738
738
807
15
© 2014
Not For Duplication
I can ...
TM Round Whole Numbers
Teaching
Model
Place Value
The cost of tuition at Cornell University is $43,000 per year when rounded to the
nearest thousand. What is the greatest possible amount the tuition could be before
it was rounded? What is the least possible amount the tuition could be before it was
rounded?
am
pl
e
Greatest
at
e
Least
ic
Thinking
Thinking Mathematically
Mathematically
pl
What strategy do you use when rounding?
u
D
ot
N
S
When do we usually need to round numbers?
D
o
Not For Duplication
© 2014
16
4th Grade Mathematics
GP Round Whole Numbers
Guided
Practice
Name:
Place Value
TEKS 4.2D Supporting
1 Mrs. Smith’s class is learning about
healthy eating habits. The students
learned that the average child should
consume about 12,000 calories each
week. Kerry consumed 12,748 calories
last week. Tyler consumed 11,702
calories last week. Round each to the
nearest thousand.
4 Marsha’s brother wanted help with the
first question on his homework. The
question asked the students to round
128,902 to the nearest thousand and
then to explain the answer. Marsha’s
brother thought that the answer was
128,000. Was his answer correct?
am
pl
e
A Yes, because 128,902 rounded to
the nearest thousand is 129,000.
12,748
11,702
B No, because 128,902 rounded to
the nearest thousand is 129,000.
C Yes, because 128,902 rounded to
the nearest thousand is 128,000.
D No, because 128,902 rounded to
the nearest thousand is 128,000.
e
2 A
pilot wanted to know about how
many kilometers he flew on his last 3
flights. From NYC to London he flew
5,572 kilometers. Then, from London
to Beijing he flew 8,147 kilometers. Finally, he flew 10,996 kilometers
from Beijing back to NYC. Round
each number to the nearest hundred
kilometers.
D
u
pl
ic
at
5 Louise’s family went on vacation
to Disney World. Their vacation
cost $5,990. Sophia’s family went
on vacation to Niagara Falls. Their
vacation cost $4,720. Both families
budgeted about $5,000 for their
vacation. Round to the nearest
thousand, whose family stayed closer
to the budget?
A Louise’s family because $5,990
rounded to the nearest thousand is
$5,000.
N
o
D Sophia’s family because $4,720
rounded to the nearest thousand is
$5,000.
Explain your answer.
4th Grade Mathematics
B Louise’s family because $5,990
rounded to the nearest thousand is
$6,000.
C Sophia’s family because $4,720
rounded to the nearest thousand is
$4,000.
D
S
ot
3 It takes 39,090 gallons of water to
manufacture a new car. Sammy
thinks that it should be rounded up to
40,000 gallons. Susie thinks it should
be rounded to 39,000 gallons. Who
rounded to the nearest thousand,
Sammy or Susie?
17
© 2014
Not For Duplication
IP Round Whole Numbers
Independent
Practice
Name:
Place Value
TEKS 4.2D Supporting
1 On June 21, 1988, the ruby slippers
5The Texas Sportsman Magazine states
worn by Dorothy in “The Wizard of Oz”
there are 6,736 lakes that are 10 acre
were sold at an auction. The highest
or larger. What would 6,736 be when
bidder offered $165,032 for the shoes. rounded to the nearest thousand?
The auctioneer rounded the price to
the nearest ten thousand dollars.
What did Dorothy’s ruby slippers cost?
A $170,000
B $165,030
C $165,000
D $160,000
am
pl
e
6In 2013 the number of cattle in Castro
Country was 473,568. What would
473,568 be when rounded to the
nearest hundred thousand?
2 In 2014, there were 822,517 hogs sold
in the State of Texas. The report in the
Texas Almanac rounded this number
to the nearest ten thousand. How
many hogs were sold in Texas in 2014,
according to the Texas Almanac?
e
The Davy Crockett National Forest
is west of Lufkin, Texas and east of
Crockett, Texas. It covers a total
of 160,647 acres in two counties:
Houston 94,481 acres and Trinity
67,361 acres.
7What would 160,647 be when rounded
to the nearest ten thousand?
C 822,000
D 823,000
at
A 822,600
B 820,000
pl
ic
Not For Duplication
© 2014
D
ot
4The distance around the equator is
24,901. What is this distance rounded
to the nearest thousand?
N
o
C 88,730
D 89,000
D
A 88,000
B 88,700
S
u
3 The diameter of the planet Jupiter is
88,732 miles. What is this distance
rounded to the nearest thousand
miles?
8What would 94,481 be when rounded
to the nearest thousand?
9What would 67,361 be when rounded
to the nearest thousand?
18
4th Grade Mathematics
I can ...
TM Represent Decimals
Teaching
Model
Decimals
am
pl
e
Which decimal tells how much is shaded?
at
e
A75
B7.5
C0.75
D0.075
ic
Thinking Mathematically
u
D
pl
What is the value of each small square in the one large square?
4th Grade Mathematics
o
D
S
N
ot
How can a model represent a decimal?
19
© 2014
Not For Duplication
GP Represent Decimals
Guided
Practice
Name:
Decimals
TEKS 4.2E Supporting
You must show your work.
am
pl
e
1 T
he model is shaded to show what number?
D
u
pl
ic
at
e
2 T
he model is shaded to show what number?
N
o
D
S
ot
3 Which answer tells how much is shaded?
A 1.06
B 1.4
C 1.6
D 10.4
Not For Duplication
© 2014
20
4th Grade Mathematics
IP
Represent Decimals
Independent
Practice
Name:
Decimals
TEKS 4.2E Supporting
1 Which of the models below is shaded to 2 Shade Model A to show forty-seven
show four tenths?
hundredths.
Shade Model B to show ninety-two
hundredths.
Shade Model C to show 0.02.
A
A
am
pl
e
B
B
at
e
C
ic
C
pl
u
ot
D
3 Shade Models A to show one and two
tenths.
188
Shade Models B to show 100 .
N
A
o
D
S
D
B
4th Grade Mathematics
21
© 2014
Not For Duplication
Represent Decimals
Name:
Decimals
TEKS 4.2E Supporting
4 What decimal is represented in this
model?
F
AT E SBO
US A M
S TE PLUUNRUIM
D
I
I
D WE TRUS
GO
R
ED
F
AT E SBO
US A M
S TE PLUUNRUIM
GO
D WE TR
U
2007
D
IBUS UN
LUR
UM
EP
UN
M O N T I C E L L O
IC A
IC A
UNIT
U
T
F
ED I V E C E N T S
S TA 2007DF A M
TES O
L
IC A
2 Which answer tells how much is
shaded?
ED
F
AT E SBO
US A M
S TE PLUUNRUIM
P
IN GOD WE
TRUST
1998
P
UA
Q
IN GOD WE
TRUST
E RT
IB
ER
L
E RT
IB
Y
C 2.06
D 2.04
2.6 2.4
A
UNIT
Q
A
B
RTER DOLL
Y
R
am
pl
e
ER
IT
LIBERTY
UA
1998
R
I
N
T
UNIT
U
T
D WE TR
S
GO
S
D WE TR
N
ER
GO
A
S
N
TY 1951
RTER DOLL
ER
IC A
Q
UA
L
T
IB
ER
ED
1 Which answer tells how much is
shaded?
IN
IP
Independent
Practice
RTER DOLL
A
e
A0.10
B1.18
C1.38
D0.98
pl
ic
at
5 A book has a mass of 1.75 kilograms,
as represented by the shaded model
below.
N
o
A20.3
B0.23
C0.77
D0.2
Not For Duplication
© 2014
How is the mass of the book written in
a decimal?
A 0.175
B 1.75
C 17.5
D175
D
S
3 Which answer tells how much is
shaded?
ot
D
u
A30.34
B3.66
C3.34
D3.034
22
4th Grade Mathematics
IP
Represent Decimals
Independent
Practice
Name:
Decimals
TEKS 4.2E Supporting
am
pl
e
1 The decimal number 0.89 can be shaded on the grid below.
at
e
Which grid is shaded to represent a decimal greater than 0.89?
C
4th Grade Mathematics
N
D
o
B
D
S
ot
D
u
pl
ic
A
23
© 2014
Not For Duplication
I can ...
TM Compare and Order Decimals
Teaching
Model
Decimals
C
am
pl
e
B
Which model represents a greater value: B or C? Explain your thinking.
at
e
pl
What is the difference in the two diagrams above?
ic
Thinking Mathematically
Not For Duplication
© 2014
N
o
.
D
S
Each model represents a value
ot
D
u
24
4th Grade Mathematics
GP Compare and Order Decimals
Guided
Practice
Name:
Decimals
TEKS 4.2F Supporting
1 Naomi has an amount of money that wold make the
comparison below true.
D
AT E SBUO F A
S TE PLUNRUIM
S
M
U
IC A
UNI
IN
ST
TE
L
ERT
IB
ER
D WE TR
U
Y
GO
LIBERTY
2007
IN GOD WE
TRUST
TE
T
UNI
LIBER
A
U
D
UA
R
2005
RTER DOLL
A
LI
Y
IN GOD
WE TRUST
D
2005
1951
1998
IN
P
RTY
IN GOD WE
TRUST
D WE TRUS
GO
am
pl
e
BE
T
T
R
IN GOD
WE TRUST
ERT
IB
Y
L
A
RTER DOLL
AT E SBUO F A
S TE PLUNRUIM
S
M
Q
RTER DOLL
D
IC A
Q
UA
Y
ER
IC A
UNI
ER
>
TE
Q
UA
U
R
P
1998
AT E SBUO F A
S TE PLUNRUIM
S
M
LIBER
D
D
UNI
IN
UNI
IN
IN
TE
U
UNI
A
IN GOD WE
TRUST
GO
D WE TR
P
1998
U
ST
Y
L
ERT
IB
A
R
RTER DOLL
ERT
IB
IN
R
UA
A
RTER DOLL
Y
UNI
U
Q
D WE TR
AT E SBUO F A
S TE PLUNRUIM
S
M
IC A
IC A
RTER DOLL
D
ER
TE
D
ER
GO
IC A
Q
2007
AT E SBUO F A
S TE PLUNRUIM
S
M
Q
B
UA
LIBERTY
1998
UA
U
U
ST
P
AT E SBUO F A
S TE PLUNRUIM
S
M
D
ER
TE
1951
D WE TR
L
IN
D WE TRUS
GO
D WE TRUS
GO
RTY
Y
GO
IN GOD WE
TRUST
1951
LI
BE
D
ERT
IB
LI
RTY
ST
D
T
P
1998
T
2007
2007
D
IN GOD WE
TRUST
BE
U
LIBERTY
L
A
e
IN
ST
D WE TR
GO
A
RTER DOLL
at
UA
U
ic
D WE TR
LIBERTY
R
GO
R
UNI
R
A
ERT
IB
U
Q
RTER DOLL
AT E SBUO F A
S TE PLUNRUIM
S
M
IC A
IC A
Q
UA
D
Y
TE
U
L
AT E SBUO F A
S TE PLUNRUIM
S
M
ER
D
ER
TE
Which amount of money would make the comparison
true?
U
IN
ST
LIBERTY
2007
LIBERTY
D
IN GOD WE
TRUST
TE
R
u
U
IN
U
UNI
IC A
IC A
UNI
D WE TR
D
IN
GO
AT E SBUO F A
S TE PLUNRUIM
S
M
A
ER
D
RTER DOLL
ST
U
pl
TE
D WE TRUS
GO
UA
Q
AT E SBUO F A
S TE PLUNRUIM
S
M
ER
TE
1951
1998
D
RTY
P
U
BE
IN GOD WE
TRUST
AT E SBUO F A
S TE PLUNRUIM
S
M
IC A
LI
T
D
ER
ERT
IB
P
1998
Y
L
D
UNI
2007
LIBERTY
2007
R
T
LIBER
D WE TR
U
T
D
P
IN GOD
WE TRUST
Y
D WE TRUS
GO
RTY
2005
D WE TR
IN
U
o
IN
GO
U
ST
AT E SBUO F A
S TE PLUNRUIM
S
M
IC A
LIBERTY
D
GO
WE TR
IN
R
D
ST
TE
D
U
ST
IN
WE TR
Q
UA
2007
D
U
2005
D
GO
LIBERTY
D
UNI
IN GOD
WE TRUST
AT E SBUO F A
S TE PLUNRUIM
S
M
IC A
D WE TR
U
IN
2007
LIBER
T
LIBERTY
Y
ER
GO
A
D
ST
Q
RTER DOLL
2007
U
LIBERTY
R
UNI
ER
UA
D
D
IN GOD
WE TRUST
1951
1998
TE
BE
P
D
2005
N
LI
T
IN GOD WE
TRUST
Y
LIBER
T
1998
S
ERT
IB
Y
L
IN GOD WE
TRUST
D
2005
LIBER
2007
D
IN GOD
WE TRUST
LIBERTY
2005
ot
D
Y
D
L
GO
IN
ERT
IB
A
ST
IN GOD
WE TRUST
RTER DOLL
Y
C
UA
A
Y
LIBER
T
RTER DOLL
Q
Q
R
D
UA
RTER DOLL
A
2007
L
D WE TRUS
GO
1951
IN
4th Grade Mathematics
LI
RTY
1998
P
Y
T
IN GOD WE
TRUST
ERT
IB
BE
Y
L
D
ERT
IB
IN GOD WE
TRUST
P
1998
25
© 2014
Not For Duplication
GP Compare and Order Decimals
Guided
Practice
Name:
Decimals
A
B
TEKS 4.2F Supporting
C
You must show your work.
D
1 List these models in order from least to greatest.
am
pl
e
A A, B, C, D
B D, C, B, A
C D, B, C, A
C
D
at
B
pl
ic
A
e
D A, C, B, A
D
u
Statement 1: A < C
Statement 2: D > B
Statement 3: C < B
ot
N
A Statement 2 only
B Statement 1 & 3 only
D
C All of the statements
o
S
2 Which statements are true?
D None of the statements
Not For Duplication
© 2014
26
4th Grade Mathematics
IP
Independent
Practice
Compare and Order Decimals
Name:
TEKS 4.2F Supporting
Decimals
1 T
he models are shaded to show that__
0.7 > 0.3
0.07 < 0.03
0.07 > 0.03
7.0 > 3.0
am
pl
e
A
B
C
D
4 T
he models are shaded to show that__
A
B
C
D
0.4 < 0.40
4 < 0.40
0.4 > 0.04
0.40 > 0.400
2 T
he models are shaded to show that__
0.400
0.40
0.40
0.40
A
B
C
D
0.30
0.03
0.03
0.03
ic
<
=
>
>
<
=
>
<
30.0
0.30
0.3
0.3
pl
0.4
0.4
4.0
0.4
D
u
A
B
C
D
at
e
5 The models are shaded to show that __
3 T
he models are shaded to show that__
A
B
C
D
N
o
D
S
ot
6 T
he models are shaded to show that__
0.021 < 0.012
0.07 < 0.03
0.21 < 0.12
0.21 > 0.12
4th Grade Mathematics
A
B
C
D
27
7.5 > 4.6
0.75 > 0.46
0.075 > 0.046
0.75 < 0.46
© 2014
Not For Duplication
IP
Compare and Order Decimals
Independent
Practice
Name:
Decimals
TEKS 4.2F Supporting
Model C
am
pl
e
Model D
1 Shade Model D to show 0.36 more shaded than Model C.
2 The models are shaded to show that _____
A Model D > Model C
e
B Model D < Model C
at
C Model D shows 0.36 shaded
pl
C
u
B
D
N
S
ot
D
A
ic
D Model C has more shaded than Model D
D
A A, B, C, D
o
3 List these models is order from greatest to least.
B D, B, C, A
C D, C, B, A
D C, D, B, A
Not For Duplication
© 2014
28
4th Grade Mathematics
TM
Relate Decimals to Fractions
Teaching
Model
Decimals
I can ...
Susan is making a beaded necklace. She gathered 20 beads for the necklace. She has
5 yellow, 5 red, 3 blue and 7 green beads.
What decimal represents the number of red beads?
What fraction represents the number of blue beads?
What decimal represents the number of blue beads?
What decimal represents the number of green beads?
What fraction represents the number of yellow beads?
What decimal represents the number of yellow beads?
at
What fraction represents the number of green beads?
e
am
pl
e
What fraction represents the number of red beads?
ic
Thinking
Thinking Mathematically
Mathematically
ot
D
u
pl
How do fractions and decimals relate?
4th Grade Mathematics
N
o
D
S
Why is place value important?
29
© 2014
Not For Duplication
GP Relate Decimals to Fractions
Guided
Practice
Name:
Decimals
TEKS 4.2G Readiness
1 The models below are shaded to represent four
different fractions.
am
pl
e
You must show your work.
37
100
4
10
68
100
5
10
Which decimal is not represented by one of these
models?
ic
N
S
ot
D
u
pl
2 The models below are shaded to represent the part of
pizzas eaten by the Hernandez family.
at
e
A0.037
B0.68
C0.5
D0.4
17
10
B1
C1
D1
and 0.17
7
10
7
20
7
10
and 1.7
D
A
o
Which fraction and decimal represent the part of
these pizzas eaten by the Hernandez family?
and 1.7
and 1.07
Not For Duplication
© 2014
30
4th Grade Mathematics
IP
Relate Decimals to Fractions
Independent
Practice
Name:
TEKS 4.2G Readiness
Decimals
1 David surveyed 100 students to find
how many participated in a sport
after school hours. There were 0.65
of the total number of students who
participated in a sport after school.
Which answer choice shows this as a
fraction?
4 While riding to California to go to
Disney Land, Dennis counted cars. Of
7
the cars counted, 100 were purple.
Which of the answer choices shows this
as a decimal?
am
pl
e
A 7,000
B 7.000
C 0.07
D 0.007
D
5 Out of the first 10 cars that Dennis
counted on his trip, 8 of the cars were
green. Which of the answer choices
shows the cars that were not green?
2 Mike did a survey of 100 students.
45
He found that 100 of the students
had brown hair. Which of the answer
choices shows this as a decimal?
A
A 100.45
B 4.5
C 1.45
D 0.45
B
2
10
8
10
e
C
at
B
6
5
5
6
65
100
65
1000
1
ic
A
C10 2
1
6 Randy runs at least a mile everyday.
B
C
D
1
3 2
35
100
5
3 10
4th Grade Mathematics
N
3
5
o
A
7
Today he ran 1 10 miles.
D
S
ot
3 Mike’s survey showed that 0.35 of the
students had blonde hair. Which of
the answer choices shows this as a
fraction?
D
u
pl
D 2 10
Which of
the answer choices show this as a
decimal?
A 1.7
B 7.10
C 1.07
D 1.007
31
© 2014
Not For Duplication
IP
Independent
Practice
Relate Decimals to Fractions
Name:
Decimals
TEKS 4.2G Readiness
1 Which one of the answers below is
equal to
2.0 1.2
1.02
0.12
am
pl
e
A
B
C
D
4 The model below is shaded to
1
represent 1 10 .
2
1 10 ?
46
2 T
he model shaded shows 100 . Which
one of the answers below is equal to
46
100 ?
e
A1.1
B11.0
C1.01
D10.1
46.00
4.6
0.46
0.046
at
A
B
C
D
Which decimal does the model
represent?
ic
5 Shade 0.45 of the model.
pl
3Which is greater, the answer for
u
question one or the answer for
Not For Duplication
© 2014
N
6 Write this as a fraction. o
D
S
ot
D
question two?
7 If the squares were pennies, how much
money would it be? 32
4th Grade Mathematics
IP
Relate Decimals to Fractions
Independent
Practice
Name:
TEKS 4.2G Readiness
Decimals
6
am
pl
e
1 The model is shaded to represent 2 10 .
Which decimal does the model represent?
A
2.6 C
2.06
B
2.4
D
2.04
2
N
ot
D
u
pl
ic
at
The model is shaded to represent
e
2
4
5 10 .
S
Which decimal does the model represent?
A
5.04 C
5.6
B
5.4
D
50.6
4th Grade Mathematics
D
o
33
© 2014
Not For Duplication
TM Determine Decimal on Number Line
Teaching
Model
I can ...
Decimals
P
oint U best represents what number?
U
30.0
at
e
am
pl
e
30.3
pl
ot
D
u
How do you represent a tenth on a number line?
ic
Thinking
Thinking Mathematically
Mathematically
Not For Duplication
© 2014
N
o
D
S
How do you represent a hundredth on a number line?
34
4th Grade Mathematics
GP Determine Decimal on Number Line
Guided
Practice
Name:
Decimals
TEKS 4.2H Supporting
A
B
C
0
You must show your work.
D
1
2
1
am
pl
e
1 Which letter best represents 0.2?
2 Which letter best represents 0.41?
A
B
0
C
D
1
2
1
ic
at
e
3 Which letter best represents 1.1?
D
u
pl
4 Which letter best represents 0.82?
AP
BQ
CR
DS
4th Grade Mathematics
6
N
5
S
R
7
o
4
Q
D
S
P
ot
5 W
hich point on the number line best represents 5.3?
35
© 2014
Not For Duplication
IP
Independent
Practice
Determine Decimal on Number Line
Name:
Decimals
TEKS 4.2H Supporting
1 P
oint V best represents what number?
5 W
hich point best represents 18.7 on the
number line?
V
6.0
R
7.0
16
T
U
17
19
am
pl
e
A6.3
B6.4
C6.6
D6.8
S
6 P
oint M best represents what number?
2 P
oint W best represents what number?
W
32
13
33
A33.7
B34.3
C33.5
D33.8
at
A12.1
B12.4
C12.7
D12.9
35
e
12
M
3 P
oint X best represents what number?
X
10.5
7
D
10.2
Y
8
Z
9
10
N
S
ot
10.0
X
u
W
pl
ic
7 W
hich point on the number line best
represents 7.7?
R
Not For Duplication
© 2014
20
D
18
o
4 P
oint R best represents what number?
AW
BX
CY
DZ
21
36
4th Grade Mathematics
IP
Independent
Practice
Determine Decimal on Number Line
Name:
Decimals
TEKS 4.2H Supporting
1Label the following points on the
number line below.
Point C 23.8
Point B 23.2
Point D 22.8
L M
1
N
O
2
3
4
AL
BM
CN
DO
am
pl
e
Point A 21.4
4Which point on the number line best
represents 1.4?
22
24
2Which point on the number line best
represents 6.9?
L
7
M
8
9
W
10
X
3
u
G
H
I
J
4th Grade Mathematics
J
2
3
10.0
o
1
N
ot
6Point T best represents what number?
D
S
H I
0
A
B
C
D
5
D
3Which point on the number line best
represents 0.8?
G
4
pl
AW
BX
CY
DZ
Z
ic
2
AJ
BK
CL
DM
Y
e
J K
5Which point on the number line best
represents 3.5?
at
21
T
10.2
A10.3
B10.5
C10.7
D11.0
37
© 2014
Not For Duplication
I can ...
TM Represent Sum of Fractions
Teaching
Model
Fractions
Look at the strip diagram below.
am
pl
e
1. What is the fraction represented by the shaded area?
2. What is the fraction that is represented by each piece of the shaded area?
Write an addition problem that represents this shaded area.
at
e
ic
Thinking Mathematically
pl
How can I represent a fraction using the sum of unit fractions?
u
ot
D
o
D
S
N
Why is a unit fraction important?
What models will I use to represent the sum of a fraction?
Not For Duplication
© 2014
38
4th Grade Mathematics
GP Represent Sum of Fractions
Guided
Practice
Name:
Fractions
TEKS 4.3A Supporting
Look at the number line below.
You must show your work.
0
1
am
pl
e
1 Write the fraction represented by the model.
2 Write the fraction representation for each piece.
3 Write the related addition problem.
at
e
1
D
u
0
pl
ic
Look at the number line below.
N
S
ot
4 Write the fraction represented by the model.
D
o
5 Write the fraction representation for each piece.
6 Write the related addition problem.
4th Grade Mathematics
39
© 2014
Not For Duplication
IP
Independent
Practice
Represent Sum of Fractions
Name:
TEKS 4.3A Supporting
Fractions
1 Which addition problem is represented by the model?
1
3
+
1
3
+
1
3
=
3
3
B
1
4
+
1
4
+
1
4
=
3
4
C
3
4
+
3
4
+
3
4
=
3
4
D
1
4
+
1
4
+
1
4
=
1
am
pl
e
A
1
3
+
1
3
=1
B
3
3
+
3
3
+
3
3
=1
C
1
2
+
1
2
=1
D
1
2
+
1
2
+
3
2
D
=
ot
1
2
ic
+
pl
1
3
u
A
at
e
2 Which addition problem is represented by the model?
A
5
5
B
3
3
C
5
3
D
3
5
Not For Duplication
© 2014
N
o
0
D
S
3 What fraction is represented?
1
40
4th Grade Mathematics
IP
Represent Sum of Fractions
Independent
Practice
1
Name:
Fractions
TEKS 4.3A Supporting
Which model represents the addition problem
1
4
+
1
4
1
4
+
3
4?
=
am
pl
e
A
1
0
B
1
ic
at
e
0
C
1
4th Grade Mathematics
o
1
D
0
N
D
S
ot
D
u
pl
0
41
© 2014
Not For Duplication
I can ...
TM Decompose a Fraction
Fractions
Teaching
Model
Draw a picture to show why these equations are true. Explain your reasoning.
=
4
8
+
3
8
am
pl
e
7
8
1
4
=
3
4
+
6
4
at
e
2
ic
Thinking
Thinking Mathematically
Mathematically
u
D
ot
pl
Why would you want to decompose a fraction?
o
D
S
N
How do we know what the sum of a fraction is equal to?
How would you check to see if a fraction is equivalent to the sum of two fractions?
Not For Duplication
© 2014
42
4th Grade Mathematics
GP Decompose a Fraction
Name:
Fractions
Guided
Practice
TEKS 4.3B Supporting
7
8
1 Use the number line below to show
+
1
8
+
3
8
=
11
8
0
.
1
am
pl
e
2 Which one of these addition sentences represents the fraction
3
2
4
5
2
3
8
3
A
B
C
D
+
+
+
+
8
5
?
5
3
4
5
6
2
8
2
=
1
5
+
2
5
1
5
+
pl
ic
4
5
at
3 Draw a model to represent the given sum of a fraction problem.
e
=
7
8
+
1
8
+
3
8
N
S
ot
11
8
D
u
4 Draw a model to represent the given sum of a fraction problem.
=
8
12
+
3
12
+
4th Grade Mathematics
4
12
D
15
12
o
5 Draw a model to represent the given sum of a fraction problem.
43
© 2014
Not For Duplication
IP
Decompose a Fraction
Independent
Practice
Name:
Fractions
TEKS 4.3B Supporting
1 List all the different ways to decompose the fraction
5
14
into the sum of 2 fractions?
am
pl
e
2 Which one of these addition sentences does not represent the fraction
1
13
+
5
13
B
2
13
+
4
13
C
6
13
+
7
13
D
3
13
+
3
13
10
7
into the sum of 2 fractions?
ic
3 List all the different ways to decompose the fraction
at
e
A
6
13 ?
4
Which one of these addition sentences does not represent the fraction
9
15
B 1 +
4
15
C
11
10
+
8
5
D
15
15
+
4
15
Not For Duplication
© 2014
N
10
15
o
+
A
19
15 ?
D
S
ot
D
u
pl
44
4th Grade Mathematics
IP
Decompose a Fraction
Independent
Practice
Name:
Fractions
TEKS 4.3B Supporting
1Which one of these models does not represent the fraction
11
16 ?
A
2
16
2
16
2
16
2
16
3
16
am
pl
e
B
1
16
3
16
5
16
2
16
4
16
5
16
8
16
3
16
7
16
9
16
at
e
C
pl
ic
D
5
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
B
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
4th Grade Mathematics
C
ot
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
N
1
6
o
1
6
S
1
6
D
A
1
6
D
u
2 Which one of these models does not represent the fraction 6 ?
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
D
45
© 2014
Not For Duplication
I can ...
TM Determine Equivalent Fractions
Teaching
Model
Fractions
Draw a picture and write the fraction that represents an equivalent fraction to the
fractions below.
am
pl
e
2
16
at
e
4
7
ic
Thinking Mathematically
u
D
ot
pl
How do you represent an equivalent fraction?
o
D
S
N
Why is it important to create an equivalent fraction?
How do you know if fractions are equivalent ?
Not For Duplication
© 2014
46
4th Grade Mathematics
GP Determine Equivalent Fractions
Guided
Practice
Name:
Fractions
TEKS 4.3C Supporting
Complete the missing model and write the equivalent You must show your work.
fraction.
2
4
=
am
pl
e
=
2
8
=
pl
ic
at
e
=
u
Use the number lines to find an equivalent fraction to
the one shown.
2
3
N
1
o
0
1
D
S
0
0
1
0
1
4th Grade Mathematics
ot
D
1
2
47
© 2014
Not For Duplication
IP
Independent
Practice
Determine Equivalent Fractions
Name:
Fractions
TEKS 4.3C Supporting
1 What fraction is equivalent to the given
fraction?
4
6
3 Use the number lines shown to find an
6
equivalent fraction to 6 .
=
1
0
1
am
pl
e
=
0
C
2
3
D
3
3
u
0
2
2
D
6
6
Not For Duplication
© 2014
1
3
B
3
3
C
2
3
D
4
3
1
ot
N
o
C
A
1
D
S
2
6
4
3
0
=
=
B
D
D
3
6
1
2
2
3
4 Use the number lines shown to find an
2
equivalent fraction to 6 .
2 What fraction is equivalent to the given
fraction?
A
C
e
2
6
3
3
at
B
B
ic
1
3
1
3
pl
A
A
48
4th Grade Mathematics
IP
Independent
Practice
Determine Equivalent Fractions
Name:
Fractions
TEKS 4.3C Supporting
Determine which number should be placed in the box to create equivalent fractions.
1
4
4 8
x =
56
7 8
4
x
5
15
A20
B12
C3
D60
am
pl
e
A8
B32
C24
D28
=
Which fraction do you use to create the
equivalent fraction?
2
A2
B70
C14
D35
A42
B30
C6
D7
45
pl
Which fraction do you use to create the
equivalent fraction?
=
e
6
x
7
at
=
5
10
ic
5
x
7
3
Explain the process to find the missing
ot
54
N
numerator which finishes the equivalent
1
to 6.
1
=
6
30
o
A45
B40
C30
D9
6
D
=
S
5
x
6
D
u
Which fraction do you use to create the
equivalent fraction?
Which fraction do you use to create the
equivalent fraction?
4th Grade Mathematics
49
© 2014
Not For Duplication
TM Represent Comparison of Fractions
Teaching
Model
I can ...
Fractions
Monique gave
3
4
of her cards to Juan and Alexis gave
13
16
of her cards to Juan. Who
gave the greater fraction of their cards to Juan? Explain your reasoning and write a
at
e
am
pl
e
comparison statement using <, >, or =.
ic
Thinking Mathematically
u
D
ot
pl
How do I compare fractions?
o
D
S
N
How do I find a common denominator?
Why is it important to compare fractions?
Not For Duplication
© 2014
50
4th Grade Mathematics
GP Represent Comparison of Fractions
Name:
Fractions
Guided
Practice
TEKS 4.3D Readiness
Use >, <, or = to compare each fraction.
7
12
1
10
2
1
6
7
8
3
5
8
3
10
4
1
8
3
6
5
2
8
2
10
6
1
5
6
10
1
ot
D
u
pl
ic
at
e
am
pl
e
1
You must show your work.
1
B
C
D
1
8
1
5
1
8
1
5
>
=
<
>
1
5
1
8
1
5
8
1
4th Grade Mathematics
N
o
A
D
S
7 Sara ran 5 of a mile. Kim ran 8 of a mile. Which pair
of fractions compares these two fractions correctly?
51
© 2014
Not For Duplication
IP
Represent Comparison of Fractions
Independent
Practice
Name:
Fractions
TEKS 4.3D Readiness
Use '>' , '<' or '=' to compare each fraction.
11
8
1
3
4
6
A
B
C
D
<
>
=
Cannot be determined.
12
16
<
>
=
Cannot be determined.
am
pl
e
A
B
C
D
8
10
11
12
5
A
B
C
D
5
12
7
5
D
10
<
>
=
Cannot be determined.
Not For Duplication
© 2014
e
3
12
<
>
=
Cannot be determined.
ot
A
B
C
D
N
<
>
=
Cannot be determined.
<
>
=
Cannot be determined.
1
4
9
S
A
B
C
D
A
B
C
D
2
12
at
<
>
=
Cannot be determined.
1
6
4
5
4
8
o
A
B
C
D
3
2
<
>
=
Cannot be determined.
u
4
1
3
A
B
C
D
8
6
ic
<
>
=
Cannot be determined.
D
A
B
C
D
3
2
7
pl
3
6
11
2
2
A
B
C
D
52
1
3
1
4
<
>
=
Cannot be determined.
4th Grade Mathematics
IP
Represent Comparison of Fractions
Independent
Practice
TEKS 4.3D Readiness
Fractions
1
1 Maria sold 6 of her tickets for the
1
Thanksgiving supper. Amanda sold 10
of her tickets. Which pair of fractions
compares these two fractions correctly?
A
4
1
1
6 > 10
1
1
6 = 10
1
1
6 < 10
6
1
10 = 1
1
Mr. Gutierrez has 3 of his class absent,
3
and 6 of Miss Burns’ class is absent.
Which pair of fractions compares these
two fractions correctly?
A
B
3
6
1
3
3
6
6
3
>
=
1
3
3
6
1
3
3
1
am
pl
e
B
Name:
D
2
1
C
D
>
=
<
>
2
3
2
3
2
3
3
2
A
B
C
D
1
8
1
8
6
8
1
8
>
=
=
<
3
8
3
8
3
8
3
8
u
B
4
6
4
6
4
6
6
4
5 Mike made 8 of the runs during the
3
baseball game. Tony made 8 of the
runs. Which pair of fractions compares
these two fractions correctly?
e
2 Jamie ate 6 of her pizza. Andy ate 3
of his pizza. Which pair of fractions
compares these two fractions correctly?
A
=
at
4
<
ic
D
C
pl
C
B
C
D
>
=
<
=
4
5
4
5
4
5
3
5
4th Grade Mathematics
N
3
5
3
5
3
5
5
4
o
A
D
S
ot
D
3 Everyone seems to be coming down
3
with the flu. 5 of Mr. Rodriguez's class
4
is absent, and 5 of Mrs. Sanchez’s
class is absent. Which pair of fractions
compares these two fractions correctly?
53
© 2014
Not For Duplication
IP
Represent Comparison of Fractions
TEKS 4.3D Readiness
1 Cindy rode her bike
5
6
4
of a mile
yesterday. Today, Cindy rode her bike
6
8
B
compares these two fractions correctly?
>
6
8
6
8
5
6
6
8
C
D
2
5
1
8
6
8
3
8
>
>
>
>
1
2
?
1
2
1
2
1
2
1
2
am
pl
e
5
6
5
6
6
8
5
6
Which fraction is greater than
A
of a mile. Which pair of fractions
A
Name:
Fractions
Independent
Practice
B
C
D
=
>
<
5 Charles ran
Andy ran
3
4
2
3
of a mile yesterday.
of a mile and Jimmy ran
2
5
C
D
=
>
<
2
3
2
3
3
4
3
4
3
4
inch tile on her
ot
3 Betty tried using
D
u
D
C
>
at
B
B
1
7
8 > 8
3
7
4 > 8
9
7
10 > 8
2
7
5 > 8
2
5
2
5
2
3
2
5
pl
A
A
ic
7
2 Dad needs a nail that is longer than 8
7
of an inch. Which size is longer than 8
of an inch?
e
of a mile. Which pair of fractions
compares two of these fractions
correctly?
mosaic table, but they were too large.
B
C
D
3
8
7
8
4
5
4
3
<
<
<
<
3
4
3
4
3
4
3
4
Not For Duplication
© 2014
N
inch?
o
A
3
4
D
S
Which size tile is smaller than
54
4th Grade Mathematics
IP
Represent Comparison of Fractions
Independent
Practice
TEKS 4.3D Readiness
Fractions
4 If Ramon wrote down a fraction less
5
than 8, which fraction could he have
written?
6
1 Daniel’s eraser is 7 of an inch long.
3
Ken’s eraser is 4 of an inch long. Tom’s
2
eraser is 3 of an inch long. Which
compares two of these fractions
correctly?
3
4
2
3
2
3
6
7
>
A
B
2
3
3
4
6
7
3
4
C
2
5
4
5
3
4
7
9
<
<
<
5
8
5
8
5
8
5
8
am
pl
e
A
Name:
5 Sonja ate
ate
2 Which fraction is greater than
A
B
C
D
2
5
3
5
3
4
5
9
>
>
>
>
5
8
5
8
5
8
5
8
5
8
ate
?
of a pint of ice cream. Dante
of a pint of ice cream. Which
correctly?
A
B
1
2
of a mile. Sandy
of a mile. Cindy walked
3
6
>
=
>
<
1
3
1
3
2
5
1
3
D
3 Brandy walked
2
5
2
5
3
8
3
8
u
D
walked
of a pint of ice cream. Ali
compares two of these fractions
C
2
5
1
3
3
8
2
5
e
<
<
at
D
>
D
ic
C
=
pl
B
1
6 Arnold mowed 4 of the lawn. Alex
2
mowed 5 of the lawn. Annie mowed
of the lawn. Which compares two of
these fractions correctly?
of
B
C
D
>
=
>
<
1
2
3
6
3
6
1
2
4th Grade Mathematics
N
2
5
1
2
1
2
3
6
A
B
o
A
D
S
ot
a mile. Which compares two of these
fractions correctly?
1
6
C
D
55
1
6
1
6
1
6
1
4
>
=
>
<
2
5
1
4
1
4
2
5
© 2014
Not For Duplication