1. MATH UNIT 1
4TH GRADE

2. PROBLEM SOLVING
Jacob helps at the family flower shop in the summer. He keeps a record of how many flower bouquets he sells. How many bouquets did he sell on Tuesday and Wednesday?
MONDAY 17
TUESDAY 24
WEDNESDAY 26
THURSDAY 35
FRIDAY 43
SATURDAY 48

3. Total: total number of bouquets he sold on Tuesday and Wednesday.
Use a Bar Diagram
Total: total number of bouquets he sold on Tuesday and Wednesday. ?
Part Part
= ?
MONDAY 17
TUESDAY 24
WEDNESDAY 26
THURSDAY 35
FRIDAY 43
SATURDAY 48 24 26

4. Total: Cost of the sweatshirt
Emily is saving to buy a sweatshirt from the college her brother attends. She has $13. How much more money does she need to buy the sweatshirt?
Total: Cost of the sweatshirt
_____$32_____
32 – 13 = _____
$32
$32
$13 ?

5. Tickets to a movie on Saturday cost only $5 each no matter what age you are. What is the cost of tickets for a family of three?
Total cost ?
3 X 5 = ____ 5

6. Twenty-four students traveled in 3 vans to the zoo
Twenty-four students traveled in 3 vans to the zoo. The same number of students were in each van. How many students were in each van? 24
24 divided by 3

7. What should your strategy be?
The race was 5 kilometers. Markers were at the starting line and the finish line. Markers showed each kilometer of the race. Find the number of markers used.
What should your strategy be?
Start Line km km km km Finish Line

8. How many ways can you make change for a quarter using dimes and nickels?

9. Michael and Madison spent all day Saturday at the County Fair
Michael and Madison spent all day Saturday at the County Fair. Michael rode 3 rides every half hour and Madison rode 2 rides every half hour. How many rides had Madison ridden after Michael rode 24 rides?
Strategy: Make a chart

10. The house numbers on Forest Road change in a planned way
The house numbers on Forest Road change in a planned way. Describe the pattern. Tell what the next two house numbers should be.
___ ___ ___

11. Strategy: Guess and Check
Joshua spent $27, not including tax, on supplies for his dog. He bought two of one item and one of another item. What did he buy?
Strategy: Guess and Check
Leash $8
Collar $6
Bowls $7
Bed
$15

12. Emma’s new CD player can hold 6 discs at one time
Emma’s new CD player can hold 6 discs at one time. If she has CDs, how many times can the player be filled without repeating a CD?
divided by 6 =
204 n n

13. How many different ways can 4 students shake each other’s hand?
Strategy: Act it out

14. What is the perimeter of the figure?
Each side of each triangle in the figure is one centimeter. If there are 12 triangles in a row, what is the perimeter of the figure shown?
Strategy: Make a table ( function chart ) 3 4 1 2 5 6 7 8 9 10 11 12

15. Matthew collected some shells, rocks, and beach glass.
How many of each object are in his collection?
2 rocks
3 Times as many shells as rocks
12 objects in all
Beach glass

16. Olivia was in a jump rope contest
Olivia was in a jump rope contest. How did her number of jumps change over the five days of the contest?
M T W T F 80 60 40 20

17. Daniel has band practice at 10:15 a. m
Daniel has band practice at 10:15 a.m. It takes 20 minutes to get from his home to practice and 5 minutes to warm up. What time should he leave home to get to practice on time?
Strategy: work backward

18. Writing to Explain
What will happen to the area of a rectangle if the lengths of its sides are doubled?
2 inches
1 inch
______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________

19. Draw a picture of what you would do with the blocks.
Writing to Explain
Use blocks to show 13 X 14.
Draw a picture of what you would do with the blocks.

20. REVIEW digit compare even period odd number line
A group of three digits in a number separated by a comma is a
A ____________ is a line that shows numbers in order using a scale.
The number 8 is an ___________ number.
The number 5 is an __________ number.

21. Compare each set of numbers using
> greater than < less than = equal to

22. Tell if the highlighted digit is in the ones, tens, or hundreds place.
346 17
921
106 33 47
217
320
810
1,006
999
1,405

23. __ __ __, __ __ __, __ __ __, __ __ __
Writing to Explain
How does using commas to separate periods help you read very large numbers?
__ __ __, __ __ __, __ __ __, __ __ __
_________________________________ _________________________________ _________________________________ _________________________________

24. What are some ways to write numbers in the thousands?
Representing Numbers
What are some ways to write numbers in the thousands?
Hannah is 4,276 feet above sea level. There are many different ways to represent 4,276.

25. How do you read and write numbers in the thousands?
Standard Form: When writing a number in standard form you write only the digits.
5,263
Expanded Form: A number in expanded form is written as the sum of the values of each of the digits. 5,
Word Form: Use periods in the place-value chart to write the number in words.
five thousand, two hundred sixty-three

26. Why is the value of the 5 in 5,784 = 5,000?
Writing to Explain
Why is the value of the 5 in 5,784 = 5,000?
Explain: __________________________
Is the expanded form for 6,348 the same as 6,348?

27. Write the word form of each.
What is the value of the red digit in each number?
15,324
135,467
275,206
42,158
63,308
921,382

28. Write each number in expanded form.
764,513
23,105
219,328
85,124
806,633
75,200

29. Write each number in standard form.

30. Can you read this number?.

31. Write each number in Standard form.
eighty-three thousand, nine hundred two
three hundred twenty-one thousand, two hundred fifty-three
twenty-one thousand, eight hundred seventeen
three hundred eight thousand, twenty-nine
four hundred ninety-seven thousand, six hundred seven
one hundred twenty-five thousand, seven hundred sixty-three
five thousand, one hundred forty-five
twenty-three thousand, three hundred seventy
four hundred three thousand, eight hundred sixty-one

32. Which digit is in the same place in all three numbers?
What is the place-value position?
574, , ,581
Write the number 403,867 in word form.
________________________________
Can you expand it? _______________________________

33. What is the largest 4 digit number you can make? _____________
What is the smallest 4 digit number?
______________
Write to explain: __________________________________

34. The city of Port Orange has 124,763 books in their Library with 3,142 DVDs in their collection. This year they will purchase an additional 1,500 books and 2,000 DVDs. How many books will the library have after the purchase?
What is the operation?
Set up and solve.
_____ _____ = ______

35. The Everglades National Park is the largest national park in Florida
The Everglades National Park is the largest national park in Florida. It was established in What is this number in expanded form?
___________
This is the year How long ago was the Everglades National Park established?
____________

36. The Egyptians created a number system that used symbols, or hieroglyphs. The chart shows the symbols and their equivalent numbers.
Hieroglyphs are drawn with the
greater number in front of the
lesser number. 31
Hieroglyphs can be read from
left to right
If the symbols are stacked,
the greater number is on
the top ,413

37. Write 217 in word form and using hieroglyphs.
___________
Write 2,523 in word form and using hieroglyphs.
____________

38. Which number will take less time to write with hieroglyphs, 9 or 100?
Explain…
Use hieroglyphs to write the greatest 5 digit number possible.

39. Use hieroglyphs to draw the number one greater than 249.
____________
It is believed that the Egyptian number system was created around B.C. Use hieroglyphs to represent this number.

40. Roman Numerals is another number system
Roman Numerals is another number system. How does it compare to the Egyptian system?

41. What are some ways to write numbers in the millions?
Between through 2005, 356,039,763 fans attended professional baseball games. Write the expanded form and word form for 356,039,763.
Draw a place-value chart to help.

42. Write the number in word form
Write the number in word form. Then tell the value of the red digit in each number.
75,600,295
249,104,330
6,173,253
430,290,100
16,107,320
78,001,432

43. Write each number in standard form.
300,000, ,000, ,000, , , ,
900,000, ,000, ,000, , ,
80,000, ,000, , ,

44. Tell the value of the red digit in each number
Tell the value of the red digit in each number. Write each number in word form.
7,915,878
23,341,552
214,278,216
334,290,652
7,330,968
30,290,447
133,958,840
309,603,114

45. In 2005, seventy-four million, nine hundred fifteen thousand, two hundred sixty-eight fans attended baseball games. Which choice shows this number in standard form?
74,015,968
74,905,268
74,900,268
74,915,268

46. The vault at Fort Knox holds 147,300,000 ounces of gold
The vault at Fort Knox holds 147,300,000 ounces of gold. Write the number that is one million more.

47. Write the expanded form of 123,456,789 and 987,654,321.
Which digit has the same value in
both numbers?

48. Write a number that is ten million more than the number you chose.
Write the standard form of a 9-digit number with a 5 in the millions place and a 9 in the tens place.
___________________
Write a number that is ten million more than the number you chose.
______________
Write a number that is one million less than the number you chose.

49. How can you estimate an unknown distance?
Mrs. Vale asked her students to estimate the distance around their classroom. Is the distance closer to 50 feet, feet, or feet?

50. You know that when you take a large step it is about 3 feet.
When trying to estimate an unknown distance you should use a distance that you already know. (benchmark)
You know that when you take a large step it is about 3 feet.
Using this information you can estimate any distance.
If it takes you 10 steps to cross the classroom it would be about _____ feet.

51. Chris wanted to estimate the number of seats in a football stadium
Chris wanted to estimate the number of seats in a football stadium. Is the total number of seats in the stadium closer to 20,000 seats, 60,000 seats or 160,000 seats?
about 5,000 seats

52. An unsharpened pencil is about 7 inches long
An unsharpened pencil is about 7 inches long. Use your pencil to estimate the distance around your desk. Is the distance closer to 15 inches, 90 inches, or inches?

53. What else could you use as a benchmark? ______________
Is the distance around your book closer to 12 inches, 50 inches, or inches?
Without using a standard measuring tool, how can you make an educated guess? _____________________
What else could you use as a benchmark? ______________

54. Can you use this knowledge to help you estimate the size of objects?
How big is your thumb?
Can you use this knowledge to help you estimate the size of objects?
How big is your arm span?
Can this knowledge help you estimate the length of objects?

55. How big was the King’s foot? How do you know?
How do we use this knowledge?

56. How can the known data help you estimate how many beans are in the jar if the jar were full?
Would the jar hold 1,500
or 3,000 or 5,000 beans?
Using data for only part
of the amount is called
a BENCHMARK.
1,000

57. Think about the jar of beans.
If you fill the jar with marbles to the same level as 1,000 beans there would be marbles.
After all, marbles are bigger
than beans so they take
up more space.
Using this data how many
marbles will fill the jar?

58. The distance between Orlando and Tampa is about 85 miles
The distance between Orlando and Tampa is about 85 miles. Is the distance between Tampa and Miami closer to 100 miles, 300 miles, or miles? Explain.

59. How can you use the map and the known distance between Orlando and Tampa to estimate the distance from Orlando to Palm Beach?

60. A parking garage has six levels. Each level has spaces for 312 cars
A parking garage has six levels. Each level has spaces for cars. Over 4,000 vehicles are expected for a large event at the Ocean Center. Will the parking garage be able to hold over 4,000 vehicles?
Explain your answer.

61. About how much of the park will contain trees?
The picture of the park shows the area of the park where trees are to be planted.
About how much of the park will contain trees?
Hint: The lake is
part of the park.

62. New park benches will be installed every 100 yards along the path.
The total length of the walking path
is about 6,000 yards.
What is a good estimate of the number
of benches that the park will have?

63. The Mote Aquarium in Sarasota, Florida,
has a 135,000 gallon shark tank.
What is the value of the 3 in this number?

64. The length of one year on a planet is the total time for the planet to make one complete trip around the Sun.
a. How many fewer days does
it take Mercury to circle
the Sun than for Earth
to circle the Sun?
b. About how many more Earth
days is a year on Mars than
a year on Earth?
c. Which planet has a digit 6 with a
value of sixty thousand in the
length of its year?
PLANET
LENGTH OF YEAR
MERCURY 88
VENUS
225
EARTH
365
MARS
687
JUPITER
4,330
SATURN
10,756
URANUS
30,687
NEPTUNE
60,190

65. Which planet has a year that is about six thousand Earth days more than Jupiter’s?
a. Which two planets
have a combined year
of about 41,000 days?
b. How many fewer days
does it take Mars to
circle the Sun than
it takes Saturn?
PLANET
LENGTH OF YEAR
MERCURY 88
VENUS
225
EARTH
365
MARS
687
JUPITER
4,330
SATURN
10,756
URANUS
30,687
NEPTUNE
60,190

66. Which space object listed has
an average surface temperature
closest to Earth’s?
What is the average
surface temperatures
in order from least to
greatest.
SPACE OBJECT
AVERAGE TEMPERATURE
MERCURY
332 Degrees F
EARTH
59 Degrees F
MOON
0 Degrees F
VENUS
867 Degrees F

67. Abigail’s favorite planet has at least 5 letters in its name
Abigail’s favorite planet has at least 5 letters in its name. The length of its year is less than 10,000 Earth days. List all the planets that fit these clues.
PLANET
LENGTH OF YEAR
MERCURY 88
VENUS
225
EARTH
365
MARS
687
JUPITER
4,330
SATURN
10,756
URANUS
30,687
NEPTUNE
60,190

68. Interpret the value of a given digit in a number
Interpret the value of a given digit in a number. (Be careful – we are not talking about place value. We are asking the actual value of each digit)
264,901,835
How many millions? _______
How many thousands? ___________
How many hundreds? ____________
How many tens? ________________
How many ones? ________________

69. How can you compare numbers?
Africa and Asia are the two largest continents on Earth. The land area of Africa is 11,608,000 square miles. The land area of Asia is 17,212,000 square miles.
Which continent is larger?
1 1, 6 0 8, 0 0 0
1 7, 2 1 2, 0 0 0
Compare each digit place by place.

70. How can you order numbers?
The area of 3 continents on Earth are shown in the table. Write the areas in order from least to greatest.
Continent
Area
Europe
4,010,000
N. America
9,450,000
S. America
6,890,000

71. Plot numbers on a number line.
4,000, ,000, ,000, ,000,000
Continent
Area
Europe
4,010,000
N. America
9,450,000
S. America
6,890,000

72. Write < , = , or > to compare numbers.
12, ,801
6, ,582
111, ,731
6, ,699
3,107, ,170,501
2,906, ,906,793
80, ,731
15, ,408

73. Order these numbers from greatest to least. 105,232,463 105,232,482
105,232,947
_____________________________
Which place did you have to look at to order these numbers?

74. Compare numbers using the symbols
> < < = =
34,896 ____ 43,897
132,489 ____ 132,498
4,937 ____ 4,936
8,965,376 ____ 865,376
3,001 ____ 3,010
901,267 ____ 910,627

75. Writing <, >, or = to compare numbers.
221, ,388
52, ,704
138, ,122
4, ,939
22, ,774
1,912, ,913,898
412, ,362
99,999, ,990,999

76. Order the numbers on the number line.
26, , ,000
27,505
26,905
26,950

77. Order the numbers on the number line.
3,422, ,422, ,423,000
3,422,100
3,422,700
3,422,000

78. Order the numbers on the number line.
7, , , , ,900
7,502
7,622
7,523
7,852

79. Order the numbers on the number line.
3, ,050
3,030
3,033
3,003

80. Write the numbers in order from least to greatest.
57, , ,495
18, , ,490
25, , ,998
877, , ,393
43, , ,382
723, , ,432
58, , ,893
274,849, ,940, ,485,903

81. Andrew added 57 and 20 and said the answer is greater than 100.
Is Andrew correct?
Could you use only the millions period
to order 462,409, ,409,524
and 463,562,391?

82. _________________________
Write three numbers that are greater than 780,000 but less than 781,000.
___________________
Order the numbers 7, ,633 and
74,366 from greatest to least.
_________________________

83. In 2003, the heaviest snake living in
captivity was a Burmese python named
Baby. Baby weighed in at pounds.
An average Anaconda snake
weighs pounds. Which snake
weighs more?

84. Which list of numbers is in order from least to greatest?
Which is in order form greatest to least?
1, , ,563
18, , ,765
234, , ,323
383, , ,849

85. Which child has saved the most
baseball cards?
Isabella
3,424
Ethan
2,354
Samantha
3,443
Joesph
2,932

86. How much greater is the land area of China than Japan?
Country
Land Area
Japan
377,835
China
9,600,000

87. The Atlantic Ocean has an area of
33,420,000 square miles. This area is
between which sets of numbers?
33,400, ,040,000
33,400, ,440,000
33,100, ,419,000
33,430, ,500,000

88. 2 9 3, 6 5 5, 4 0 4 How can you round numbers?
Round 293,655,404 to the nearest thousand and to the nearest hundred thousands. Use place value to round numbers.
If the digit to the right of the rounding place is 5 or more,
add 1 to the rounding digit.
If it is less than 5, leave the rounding digit alone.
2 9 3, 6 5 5, 4 0 4

89. Round each number to the place of the highlighted digit.
128,955
85,639
9,924
1,194,542
160,656
149,590

90. In 2008, the population of the United
States was 304,691,952.
Round 304,691,952 to the nearest
hundred thousand.

91. Round each number to the place of the underlined digit.
493,295
39,230
77,292
453,280
75,254
54,846
21,679
55,560
17,909
9,049
6,668,365
3,417,547
9,511
123,900
1,666,821
9,000,985
149,999
73,065

92. Which zoo had the greatest number of visitors?
For each zoo in the chart, round the attendance to the nearest hundred thousand.
Which zoo had the greatest number of visitors?
Nashville Zoo
546,429
Philadelphia Zoo
1,244,000
Oregon Zoo
1,503,565
Brevard Zoo
328,973

93. Elizabeth read that about 1,760,000 people
will graduate from high school in the
next four years. She thinks this
number is rounded to the nearest ten
thousand. What would the number be
if it were rounded to the nearest
hundred thousand?

94. Ashley has attended class every day since she started school as a
kindergartener. She said she has been
in school for about 1,000 days. What
could the actual number of school
days be if she is in 4th grade and the
number is rounded to the nearest ten?

95. When rounded to the nearest ten thousand, which number would be rounded to 120,000?
123,900
128,770
130,000
124,480

96. A fruit market sold 3,849 apples, 3,498 oranges, and 3,894 pears in
one month. Which of these numbers is
the greatest?

97. How can you estimate sums and differences?
The Empire State Building was completed in From ground to tip, it measured 1,250 feet. At the top of the building is an antenna and lightning rod that measures feet. Estimate the total height of the structure.

98. When estimating you usually round the number in order to add or subtract easily.
The Washington Monument was completed in About how many years after was the Empire State Building completed?
1931
1884

99. Estimate each sum or difference.
563
+ 375
288
- 171
645
+ 253
262
- 132

100. The Statue of Liberty was completed
in About how many years later
was the Empire State Building
completed than the Statue of Liberty?

101. William bought a board game for $24,
a key ring for $3, and a book for $8.
How much money did he spend?
Challenge: If he gives the cashier two $20 bills how much change will he receive?

102. This year, 35,658 people ran in a marathon. Last year, 8,683 fewer
people ran in the marathon. About how
many people ran last year?

103. Anthony sold 86 tickets to the school’s
talent show on Thursday and 103
tickets on Friday. About how many
tickets to the talent show did he sell
in all?

104. Alexis was born in the year 2004. One of her older sisters was born in
Rounding to the nearest ten,
about how many years younger
is Alexis?

105. During swimming practice, David swam 15 laps and Sarah swam 9 laps.
How many more laps did David
swim than Sarah?

106. Sophia read 235 pages of a book
Sophia read pages of a book. She had more pages to read before she was done. How many total pages were there in the book? ?
235
192

107. Draw a picture and write an equation to solve. 1,350 420
PROBLEM SOLVING strategy: DRAW A PICTURE
The mass of a human brain is how much greater than the mass of a chimp brain?
Draw a picture and write an equation to solve.
1,350
Cat
30 grams
Chimp
420 grams
Human
1,350 grams
Dolphin
1,500 grams
420

108. Four cities are on the same road that runs east to west
Four cities are on the same road that runs east to west. Fleming is west of Bridgewater, but east of Clinton. Union is between Fleming and Bridgewater. It is 21 miles from Fleming to Union. It is 55 miles from Clinton to Union. How far is it from Clinton to Fleming? W E

109. There are about more species of animals in the Minnesota Zoo than in the Phoenix Zoo. About how many species of animals are in the Minnesota Zoo? About how many at the Miami Metro Zoo?
ZOO
Number of Species
Phoenix
200
Minnesota
Miami Metro
Indianapolis
360
Total Species
2,260

110. A parking lot had a total of 243 cars
in one day. By 6:00 a.m. there were
cars in the lot. In the next hour,
13 more cars joined these.
How many more cars would park
in the lot by the end of the day?

111. The American Kennel Club lists 17 breeds of herding dogs and 26 breeds of terriers. Find the total number of breeds of herding dogs and terriers.

112. In one week Alexandra earned $36 from
her babysitting job. She got $15 more
for doing her chores. How much
money did she earn that week? ?

113. FLORIDA TEST
CHAPTER 1