1. ADDITION AND SUBTRACTION OF WHOLE NUMBERS
Topic 4
ADDITION AND SUBTRACTION OF WHOLE NUMBERS

2. Review What You Know - Vocabulary
Choose the best term from the box.
In order to subtract 140 from 530, you need to ___.
___ tells about how many or about how much.
When you subtract two numbers, the answer is the ___?
Then you add numbers together, you find the ___.
rounding sum difference
mental math tens regroup

3. Review What You Know – Addition Facts
4 + 6
3 + 7
15 + 7
7 + 5
37 + 7
3 + 8
9 + 8
9 + 6
14 + 6
14 + 5
6 + 5
25 + 5

4. Review What You Know – Subtraction Facts
27 – 3
6 – 2
11 – 6
6 – 4
17 – 8
14 – 6
15 – 8
16 – 4
15 – 10
11 – 8
20 – 5
13 - 7

5. Review What You Know – Writing to Explain
Why does 843 round to 840 rather than 850?

6. Using Mental Math to Add and Subtract
Lesson 4.1
Using Mental Math to Add and Subtract

7. Number Talk
5 – 15 minute session
23 – 10
23 – 14
23 – 18

8. Fact Fluency

9. Lesson 4.1 Learning Target
I can use place value understanding to round multi-digit whole numbers to any place.
Record and deconstruct standard in math notebook!

10. How can you use mental math to add and subtract?
Lesson 4.1 Focus
How can you use mental math to add and subtract?

11. Lesson 4.1 Purpose
You know how to read and represent whole numbers. Today, you will use mental math to add and subtract whole numbers.

12. Lesson 4.1 Connect
= ? and = ?
What do you notice about these sums?
Which problem is easier to solve? Why?

13. Pose the Problem
Luke collected 36 baseball cards and 34 football cards. Find the number of cards in his collection without using a pen and paper.

14. Academic Vocabulary
Breaking apart numbers makes mental math easier because you replace the original numbers with numbers that make computing easier. To find , think of 34 as What is ? What is ? So, is ___.

15. Extend
Robyn has 69 centimeters of wire. To hang a bird feeder, she needs to cut 23 centimeters from the wire. Find out how much wire she will have left by using mental math.

16. Visual Learning Animation

17. Jessica packed 36 oranges and 97 apples for the class picnic
Jessica packed 36 oranges and 97 apples for the class picnic. Use mental math to find how many pieces of fruit she packed.
A. 61 B. 108 C. 123 D. 133

18. Look at the School Bus Route problem and how Clay tried to solve it
Look at the School Bus Route problem and how Clay tried to solve it. Then answer the question below about what Clay did wrong. What is wrong with Clay’s answer to the School Bus Route problem?
A. He wrote the wrong number sentence. B. He solved the sentence incorrectly. C. He answered the wrong question. D. He should have multiplied.

19. You have these coins. Which amount CANNOT be shown with your coins?
A. $0.45 B. $0.48 C. $0.38 D. $0.29

20. How many 1,000s equal 100,000?
A.    10
B.    1
C.    100
D.    1,000

21. How many 10-foot sections of fence are needed to make a fence 980 feet long?
A. 98 B. 970 C. 990 D. 9,800

22. Practice Time
Complete Practice page.

23. Formative Assessment
Quick Check 4-1

24. Estimating Sums and Differences of Whole Numbers
Lesson 4.2
Estimating Sums and Differences of Whole Numbers

25. Number Talk
5 – 15 minute session
100 – 50
100 – 52
100 – 60

26. Fact Fluency

27. Lesson 4.2 Learning Target
I can use place value understanding to round multi-digit whole numbers to any place.
Record and deconstruct standard in math notebook!

28. How can you estimate sums and differences of whole numbers?
Lesson 4.2 Focus
How can you estimate sums and differences of whole numbers?

29. Lesson 4.2 Purpose
You know how to round numbers. Today, you will learn how to use rounding to estimate sums and differences.

30. What are some things that are often rounded?
Lesson 4.2 Connect
What are some things that are often rounded?

31. Pose the Problem
Vera went on a 3-day trip in which she traveled 336 miles the first day, 423 miles the second day, and 357 miles on the third day. Is 300 or 400 a more reasonable estimate for about how far she went on each of the three days?

32. Extend Estimate 518 + 271 by rounding to the nearest hundred.
Then, estimate the sum by rounding to the nearest ten.
Which estimate is closer to the exact sum?

33. Think-Pair-Share
Estimate the sum.

34. Think-Pair-Share
Estimate the sum.

35. Think-Pair-Share
Estimate the sum.

36. Estimate the difference.
Think-Pair-Share
Estimate the difference.

37. Estimate the difference.
Think-Pair-Share
Estimate the difference.

38. Visual Learning Animation

39. Which is the best estimate of the difference?

40. Cindi estimated 4,837 + 2,710. What did she add?
A. 4, ,000 B. 4, ,000 C. 4, ,000 D. 5, ,000

41. In 1690, a scientist suggested for the first time that light was wave-like. In 1958, scientists invented the first of various forms of lasers. To the nearest hundred years, which is the best estimate of the number years between these two events?
A. 500 years B. 400 years C. 300 years D. 200 years

42. In 1609, the Italian scientist Galileo made the first telescope
In 1609, the Italian scientist Galileo made the first telescope. In 1990, astronauts on the space shuttle placed the Hubble Telescope into orbit around the Earth. To the nearest hundred years, which is the best estimate of the number years between these two events?
A. 500 years B. 400 years C. 300 years D. 200 years

43. ESTIMATE by rounding to the nearest hundred.
A. 1,100 B. 1,000 C. 900 D. 800

44. Practice Time
Complete Practice page.

45. Formative Assessment
Quick Check 4-2

46. Lesson 4.3
Adding Whole Numbers

47. Number Talk
5 – 15 minute session
9 – 4
10 – 4
19 – 14

48. Fact Fluency

49. Lesson 4.3 Learning Target
I can fluently add and subtract multi- digit whole numbers less than or equal to 1,000,000 using the standard algorithm.
Record and deconstruct standard in math notebook!

50. How do you add whole numbers?
Lesson 4.3 Focus
How do you add whole numbers?

51. Lesson 4.3 Purpose
You know how to estimate sums of whole numbers. Today, you will learn how to add whole numbers involving regrouping.

52. Lesson 4.3 Connect
When might you need to add whole numbers with a sum in the thousands?
When might you need to add three or more numbers?

53. Pose the Problem
Erica brought 219 bottles to the recycling center. Ana brought 142 bottles. Leon brought 436 bottles. About how many bottles did they bring altogether? Estimate to decide. Then, solve the problem exactly.

54. Think-Pair-Share 7,
8, ,799

55. Extend
What is the smallest number you can add to 527 that would cause regrouping in all three place values?

56. Visual Learning Animation

57. Which number makes the comparison true?
A. 380 B. 308 C. 38 D. 3,800

58. The driving distance from Daytona Beach to Orlando is 58 miles
The driving distance from Daytona Beach to Orlando is 58 miles. The driving distance from Daytona Beach to St. Augustine is 65 miles. Which of these tells you that the distance from Daytona Beach to St. Augustine is greater than the distance from Daytona Beach to Orlando?
A. 58 > 65 B. 65 > 58 C. 65 < 58 D. 65 = 58

59. Which symbol makes the comparison true?
A. + B. = C. < D. >

60. Which number makes the comparison true?
A. 7,800 B. 780 C. 708 D. 78

61. Which symbol makes the comparison true?
A. > B. = C. + D. <

62. Practice Time
Complete Practice page.

63. Formative Assessment
Quick Check 4-3

64. Subtracting Whole Numbers
Lesson 4.4
Subtracting Whole Numbers

65. Number Talk
5 – 15 minute session
31 – 15
30 – 15
29 – 15
32 – 15

66. Fact Fluency

67. Lesson 4.4 Learning Target
I can fluently add and subtract multi- digit whole numbers less than or equal to 1,000,000 using the standard algorithm.
Record and deconstruct standard in math notebook!

68. How do you subtract whole numbers?
Lesson 4.4 Focus
How do you subtract whole numbers?

69. Lesson 4.4 Purpose
You know how to add whole numbers. Today, you will learn how to subtract whole numbers.

70. When would you use subtraction to find a difference?
Lesson 4.4 Connect
When would you use subtraction to find a difference?

71. Pose the Problem
During a gardening project, Ruben planted 168 seeds. Jana planted 191 seeds. How many more seeds did Jana plant than Ruben?

72. Academic Vocabulary
How can we check our answer?
We can use addition to check subtraction. Operations that undo each other are inverse operations.

73. Extend
For the problem above, 191 – 168, suppose a student checked the difference by adding = 214. What error did the student make?

74. Think-Pair-Share
2,789 – 2,182

75. Think-Pair-Share
6,854 – 8,191

76. Think-Pair-Share
8,354 – 3,281

77. Think-Pair-Share
6,463 – 6,389

78. Visual Learning Animation

79. Order the numbers from least to greatest. 88,630 88,360 87,783

80. Which number does NOT come between 13,130 and 13,371?
A. 13,007 B. 13,172 C. 13,241 D. 13,349

81. Which number sentence is NOT true?
A. 5,813 < 8,513 B. 5,813 < 5,831 C. 5,813 > 5,183 D. 5,813 < 5,318

82. The chart gives the number of books in some city libraries
The chart gives the number of books in some city libraries. Which library has more volumes, Baton Rouge or El Paso? What number sentence shows the comparison?
A. El Paso; 1,232,185 < 1,277,003 B. Baton Rouge; 1,232,185 < 1,277,003 C. El Paso; 1,232,185 > 1,277,003 D. Baton Rouge; 1,232,185 > 1,277,003

83. The chart gives the diameters of Earth and the five closest planets
The chart gives the diameters of Earth and the five closest planets. Which of these statements is NOT true about the diameter of Mars?
A. It is less than the diameter of Venus. B. It is less than the diameter of Earth. C. It is less than the diameter of Saturn. D. It is greater than the diameter of Jupiter.

84. Practice Time
Complete Practice page.

85. Formative Assessment
Quick Check 4-4

86. Subtracting Across Zeros
Lesson 4.5
Subtracting Across Zeros

87. Number Talk
5 – 15 minute session
30 – 19
29 – 19
40 – 19
39 – 19

88. Fact Fluency

89. Lesson 4.5 Learning Target
I can fluently add and subtract multi-digit whole numbers less than or equal to 1,000,000 using the standard algorithm.
Record and deconstruct standard in math notebook!

90. How do you subtract across zeros?
Lesson 4.5 Focus
How do you subtract across zeros?

91. Lesson 4.5 Purpose
You have learned how to subtract whole numbers. Today, you will learn how to subtract across zeros.

92. Lesson 4.5 Connect
You know how to subtract a 1-digit from 10. How do you think you might subtract when the greater number has zeros in it?

93. Pose the Problem
The Empire State Building is 1,250 feet tall. The Citigroup Center is also in New York and is 915 feet tall. How much taller is the
Empire State Building than the Citigroup Center?

94. Small-Group Interaction
Estimate the difference: 1,003 – 468.
Then, find the exact answer and use addition to check your answer. What is the difference?

95. Think-Pair-Share
8,059 – 2,870

96. Extend
Jason is traveling to a city 1,000 miles away. So far, he has traveled 584 miles. How many more miles will he travel?

97. Think-Pair-Share
20,004 – 14,981

98. Think-Pair-Share
50,005 – 33,853

99. Think-Pair-Share
80,005 – 6,381

100. Visual Learning Animation

101. Round 345,229 to the nearest thousand.
A. 300,000 B. 340,000 C. 345,000 D. 346,000

102. Round 185,340 to the nearest ten-thousand.
A. 200,000 B. 190,000 C. 185,000 D. 180,000

103. Round 3,547,019 to the nearest million.
A. 2,000,000 B. 3,000,000 C. 3,500,000 D. 4,000,000

104. Round 683,492 to the nearest hundred thousand.
A. 700,000 B. 680,000 C. 683,000 D. 600,000

105. Round 7,340,208 to the nearest million.
A. 7,000,000 B. 8,000,000 C. 6,000,000 D. 7,400,000

106. Practice Time
Complete Practice page.

107. Formative Assessment
Quick Check 4-5

108. Problem Solving: Draw a Picture and Write an Equation
Lesson 4.6
Problem Solving: Draw a Picture and Write an Equation

109. Number Talk
5 – 15 minute session
20 – 15
21 – 15
19 – 15
22 – 15

110. Fact Fluency

111. Lesson 4.6 Learning Target
I can fluently add and subtract multi-digit whole numbers less than or equal to 1,000,000 using the standard algorithm.
Record and deconstruct standard in math notebook!

112. Lesson 4.6 Focus
How can a bar diagram help you solve an addition or subtraction problem?

113. Lesson 4.6 Purpose
You know that addition and subtraction can be used to solve problems. Today, you will use pictures to help you decide which operations and number sentences are needed to solve a problem.

114. Lesson 4.6 Connect
Suppose you know the weight of two dogs. What operation can you use if you want to find how much more one dog weighs than the other?

115. Pose the Problem
Marta’s dog weighs 60 lbs. Suso’s dog weighs 43 lbs. How much more does Marta’s dog weigh than Suso’s dog? Draw a picture and write an equation to represent this problem.

116. Small-Group Discussion
A DVD costs $12. Popcorn costs $4. What does it cost to buy the DVD and popcorn? Draw a picture to help you write an equation to solve this problem.

117. Extend
A box of DVDs costs $245. A box of CDs costs $68. How much more does the box of DVDs cost?

118. Visual Learning Animation

119. Ms. Jacobs is buying sandwich meats for her family
Ms. Jacobs is buying sandwich meats for her family. She can choose from turkey, salami, chicken, bologna, and ham. If she is going to purchase two different kinds of sandwich meats, how many different combinations does she have to choose from?
A. 15 B. 10 C. 8 D. 5

120. Maria is shopping for an outfit to wear on the first day of school
Maria is shopping for an outfit to wear on the first day of school. For tops, she finds yellow, blue, red, white, and green shirts. For bottoms, she finds a skirt, a pair of brown pants, and a pair of blue jeans. How many different outfits are possible with the items Maria found?
A. 8 B. 10 C. 15 D. 20

121. The Lunch Stop is offering combination specials including a sandwich and a side order. The sandwiches choices are meatball, chicken, turkey, and tuna. The side orders include potato salad, an apple, or carrot sticks. How many different combination specials are possible?
A. 12 B. 7 C. 18 D. 9

122. Samantha, Kelly, Jenni, and Melissa want to go on an amusement ride at the fair. How many different ways can they line up single file to go on the ride?
A. 4 B. 12 C. 20 D. 24

123. Nick, John, Carlos, Steven, and Sean are swimming in a race
Nick, John, Carlos, Steven, and Sean are swimming in a race. In how many different ways can these five boys come in first, second, and third?
A. 60 B. 30 C. 20 D. 5

124. Practice Time
Complete Practice page.

125. Formative Assessment
Quick Check 4-6

126. End of Topic 4
Topic 4 Assessment