Download Answer

1
3rd Grade Division
2015­11­03
www.njctl.org
2
Table of Contents
•
•
•
•
•
•
•
•
•
•
•
•
•
Arrays and Pictures
Using Multiplication
Dividing by 1
Dividing by 2
Dividing by 3
Dividing by 4
Dividing by 5
Dividing by 6
Dividing by 7
Dividing by 8
Dividing by 9
Dividing by 10
Division Word Problems
Click on a topic to go to that section.
3
Arrays and Picture Models
Return to
Table of Contents
4
Division
Division means separating a number into equal groups.
The 12 apples were divided equally into 4 baskets. How many a pples are in each basket?
How would you write the division problem?
5
Division
To find out 12 ÷ 6, you can draw 6 plates and put the one egg at a time on each plate until all 12 eggs are on plates.
Teacher Notes
12 ÷ 6 =
6
Division
6 ÷ 2 =
Teacher Notes
To find out 6 ÷ 2, you can give each toy a cupcake until their are no more cupcakes. How many cupcakes does each toy get?
7
Arrays
You can use an array to solve a division problem. Divide the 20 stars into an array with 4 rows. Circle each column. How many stars are in each column?
8
Does the picture show 14 ÷ 2?
Yes
No
x x x x
x x x x x x x x
x x
Answer
1
9
What number sentence matches the picture?
A
10 ÷ 5 = 2
B
12 ÷ 2 = 6
C
Neither A or B
Answer
2
10
How many equal groups can be made if there were 12 eggs and I put 3 eggs in each group?
Answer
3
11
How many equal groups can be made if there were 15 buttons and I circled groups of 5 buttons?
Answer
4
12
What is 18÷3? You may use a picture to help you.
Answer
5
13
Using Multiplication
Return to
Table of Contents
14
Key Terms
Divisor­ The number that divides another number Dividend­The number being divided . The dividend is typically the largest number in your fact family.
Quotient­The answer to a division problem
Division problems can be shown in three ways. Can you point out the dividend, divisor, and quotient in each problem below?
8
2 16
16 ÷ 2 = 8
16 / 2 = 8
15
Using Multiplication to Divide
Division is the inverse (opposite) of multiplication. 40 ÷ 5 =?
2
1
To find the answer to a division problem on a chart, start at the divisor on left column. Follow the row to the right to find dividend. Go up to find the quotient (answer).
16
Using Multiplication to Divide
Use your multiplication facts.
To figure out 40 ÷ 5 = _____
_____ X 5 = 40
Write the question backwards and multiply.
17
This is a family fact triangle for 5, 8, & 40. Below are the family of facts for 5, 8, & 40.
0
1
2
3
4
5
6
8
7
9
40
5
8
40
8
5
_____ X _____ = _____
0
4
_____
8
5
_____ = _____
40
8
5
_____ X _____ = _____
0
4
_____
5
8
_____ = _____
18
Complete the family of facts using the fact triangle. Then complete the fact family template below.
1
2
3
4
5
6
7
8
9
Teacher Notes
0
32
8
_____ X _____ = _____
_____
_____ = _____
_____ X _____ = _____
_____
_____ = _____
19
Complete the family of facts using the fact triangle. Then complete the fact family template below.
1
2
3
4
5
6
7
8
9
27
Teacher Notes
0
3
_____ X _____ = _____
_____
_____ = _____
_____ X _____ = _____
_____
_____ = _____
20
Complete the family of facts using the fact triangle. Then complete the fact family template below.
1
2
3
4
5
6
8
7
9
63
Teacher Notes
0
9
_____ X _____ = _____
_____
_____ = _____
_____ X _____ = _____
_____
_____ = _____
21
Complete the family of facts using the fact triangle. Then complete the fact family template below.
1
2
3
4
5
6
7
8
9
54
Teacher Notes
0
_____ X _____ = _____
_____
_____ = _____
_____ X _____ = _____
_____
_____ = _____
22
Complete the family of facts using the fact triangle. Then complete the fact family template below.
1
2
3
4
5
6
7
8
9
With a partner, create your own fact triangle using a common math fact you already know!
Teacher Notes
0
_____ X _____ = _____
_____
_____ = _____
_____ X _____ = _____
_____
_____ = _____
23
Click here to play a division game.
24
Does 45 ÷ 9 = 5?
Yes
No
Answer
6
25
Which number sentence does not belong?
A
60 ÷ 6 = 10
B
60 x 6 = 10
C
60 ÷ 10 = 6
D
6 x 10 = 60
Answer
7
26
32 8 = ÷ Answer
8
27
56 ÷ 7 = 7
Yes
No Answer
9
28
21 ? = 7
Answer
10
29
? = 21 7
Answer
11
30
Division Facts
31
Dividing by 1
Return to
Table of Contents
32
Dividing By 1
During their class trip all 7 of Miss Carter's students have to go on 1 bus. How many students will be on the bus?
What is the division problem?
What is the answer, including the unit?
7 kids
click
33
Dividing By 1
If you have 10 faces and place them in 1 row, how many faces would be in the row?
10
1
Label your array.
10 ÷ 1 = 10 faces
34
Dividing By 1
You have learned that division is the inverse (opposite) of multiplication. 4 ÷ 1 = ?
1
2
To find the answer to the division problem on a chart, start at the divisor on left column. Follow the row to the right to find dividend. Go up to find the quotient (answer).
35
Dividing By 1
What could you say is a rule when dividing any number by 1?
Click
Every time I divide by 1, the answer is other number.
Click
Every time I divide by 1, the quotient is equal to the dividend.
36
Dividing By 1
When dividing a number by 1, the quotient (answer) is the original number.
Now that you know that rule, fill in the table below.
IN
OUT
7
12
29
16
40
Rule: Divide by 1
37
Find the matching pairs in the space below.
38
Click here to play a game to practice dividing by 3.
39
When you divide by one, the quotient (answer) is...
A always 1. B always the dividend (number that is being divided). C Neither A nor B. Answer
12
Divisor
7 1 = ?
Dividend
Quotient
40
8 1 =
A 1
B 7
C 8
D 0
Answer
13
41
14
Answer
2 2
42
15
Answer
5 = 5
43
Mr. Galloway has 20 erasers to pass out. But, he only has one student. How many erasers did each student receive?
Answer
16
44
Dividing by 2
Return to
Table of Contents
45
Dividing By 2
Teacher Notes
Grandma sent $18 to Ana and her sister. The girls had to share the money. How much money did each girl get?
What is the division problem?
46
Thomas and Reese collected 13 rocks. They decided to split the rocks between them when it was time to go home. How many rocks did each boy get?
Teacher Notes
Dividing By 2
What is the division problem?
How is this problem different from the last?
47
Dividing By 2
All even number are divisible by 2. That means all numbers with a 0, 2, 4, 6, 8 in the ones place can be divided by 2.
IN
OUT
8
12
10
16
7
Rule: Divide by 2
48
49
Click to play a game where you can practice dividing by 2.
50
All numbers that are divisible by two are...
A
Even B
Odd
C
Have a 2 in the ones place
Answer
17
51
15 ÷ 2 = 7
True False Answer
18
52
12 2 =
A
6
B
10
C
24
D
14
Answer
19
53
10 / _____ = 5
Answer
20
54
Drew was asked to divide the Responders into two baskets. If there were 24 Responders, how many did Drew put in each basket?
Answer
21
55
Henry went to the store and bought 16 pieces of candy for him and his brother. How many pieces of candy did each boy get?
Answer
22
56
Dividing by 3
Return to
Table of Contents
57
Granny Potter made 12 hats to give to her 3 cats. Help Granny give away all 12 hats to her cats.
Tabby
Scratch
Teacher Notes
Dividing by 3
Blue
What is the division problem?
58
Dividing by 3
If you add the digits of a number together and it equals a number that is divisible by 3, then that number is divisible by 3.
For example, 36 ÷ 3 =
3 + 6 = 9
Since 9 is divisible by 3, then 36 is divisible by 3.
IN
OUT
3
12
6
30
9
Rule: Divide by 3
59
60
Click here to play a game to practice division facts.
61
What is the sum of the digits in the number 27?
Answer
23
62
Is 27 divisible by 3?
Yes
No
Answer
24
63
What is the sum of the digits in the number 23?
Answer
25
64
The library teacher wants to rearrange 23 books onto 3 shelves. Will she be able to evenly divide them on the shelves?
Yes
No
Answer
26
65
What is the sum of the digits in the number 18?
Answer
27
66
18 ÷ 3 = _____
Answer
28
67
Three friends pick flowers and put them together. They have 15 and want to share them equally. How many will each friend get?
Answer
29
68
30 Pablo buys 6 packages of car stamps. Each package has 6 car stamps. Pablo shares these car stamps equally among himself and 3 friends.
stamps
Answer
What is the total number of car stamps that Pablo and each of his 3 friends receive?
From PARCC EOY sample test #11
69
Dividing by 4
Return to
Table of Contents
70
Dividing by 4
Teacher Notes
Farmer Matt was trying to finish his chores for the day. He needs to separate the horses into 4 groups to feed them hay. Can you help him move his horses to their hay? What is the division problem?
71
Dividing by 4
To divide a number by 4, divide the number by 2. Then divide it by 2 again.
IN
OUT
8
12
10
16
7
Rule: Divide by 4
72
Click here to play a game to practice dividing by 4.
73
31 Is 28 divisible by 4?
Yes
Answer
No
74
32 Is 14 divisible by 4?
Yes
Answer
No
75
16
isible by 4
Pull to check if the numbers above each box are divisible by 4.
Pull
33
visible by 4
Pull
49
visible by 4
Pull
20
visible by 4
Pull
8
visible by 4
Pull
76
33 Is 25 divisible by 4?
Yes
Answer
No
77
Answer
34 4 32 = ÷ 78
35 36 calculators get donated to a school. They are Answer
going to be evenly shared between 4 classrooms. How many calculators will each classroom get?
79
Answer
36 Sammy is sorting candy for his friends. He has 36 pieces of candy to give away. If he wants each friend to have 4 pieces of candy, how many friends can he give candy to?
80
37 Jane bought 24 light bulbs. The light bulbs come in packs of 4.
How many packs of light bulbs did Jane buy?
Answer
light bulbs
From PARCC PBA sample test #10
81
Dividing by 5
Return to
Table of Contents
82
Dividing by 5
Teacher Notes
Barney had $.40 in coins. If the coins were all nickels, how many nickels did Barney have?
What is the division problem?
What is the answer? Remember your units.
83
Dividing by 5
Teacher Notes
While playing a game of memory, Kelly placed her 16 cards in 5 rows. How many cards were in each row?
What is the division problem?
How is this problem different than the last?
84
Dividing by 5
What is a rule for dividing by 5?
click to reveal
Numbers with a 0 or 5 in the ones place are divisible by 5.
85
Dividing by 5
Numbers with a 0 or 5 in the ones place are divisible by 5.
IN
OUT
10
25
10
30
7
Rule: Divide by 5
86
87
Click here to play a game to practice dividing by 5.
88
38 When dividing by 5, the number in the ones place A
0 B
5 C
both A and B D
neither A nor B Answer
should be...
89
39 46 is divisible by 5.
False
Answer
True
90
40 Tyler has 50 cupcakes and is able to place them evenly into rows of 5. True Answer
False
91
A
10 B
20 C
3 Answer
41 15 ÷ 5 =
92
42 Bubba had 35 shrimp. He puts 5 shrimp on each of Answer
his guest's plates. How many guests did Bubba have?
93
Answer
43 Ashley has $0.55 in coins. If all of the coins are nickels, how many nickels does she have?
94
Answer
÷ 44 45 5 =
From PARCC EOY sample test #31
95
Dividing by 6
Return to
Table of Contents
96
Dividing by 6
The photographer was making a photo album book for her client. She can fit 6 photos on a page of the book. There are 18 photos in her camera bag mess. Help her organize her photos onto the photo pages. How many pages will she fill up?
Teacher Notes
photo page
What is the division problem?
97
Dividing by 6
If a number is divisible by 2 and 3, then the number is divisible by 6.
IN
OUT
18
24
10
30
7
Rule: Divide by 6
98
Dividing by 6
Move each number to where it belongs in the Venn Diagram.
Divisible by 2
Divisible by 3
Divisible by 6
17
4
21
6
20
8
9
13
12
18
15
99
Click here to play a game to practice dividing by 6.
100
45 What is the sum of the digits in the Answer
number 36?
101
46 Is 36 divisible by 6?
Yes
Answer
No
102
47 What is the sum of the digits in the Answer
number 46?
103
48 Is 46 divisible by 6?
Yes Answer
No 104
49 Your class is arranging 24 chairs into 6 Answer
rows. How many chairs will be in each row?
105
Dividing by 7
Return to
Table of Contents
106
Dividing by 7
Teacher Notes
Darla is trying to eat healthier. Every morning she makes a fruit smoothie at breakfast. Remember, there are 7 days in a week. If she has made 21 smoothies in a row, how many weeks has she been on her healthy eating plan?
107
Dividing by 7
Complete the table below. IN
OUT
14
21
10
42
7
Rule: Divide by 7
108
16
visible by 7
Pull to check if the numbers above each box are divisible by 7.
Pull
21
sible by 7
Pull
49
visible by 7
Pull
20
visible by 7
Pull
70
visible by 7
Pull
109
Click here to play a game to practice dividing by 7.
110
50 What number goes in the input­output IN
OUT
?
2
28
6
Answer
table where the question mark is?
49
9
Rule: Divide by 7
111
51 What number goes in the input­output table where the question mark is?
IN
OUT
?
28
6
Answer
2
49
9
Rule: Divide by 7
112
52 What number goes in the input­output table where the question mark is?
IN
OUT
28
?
6
Answer
2
49
9
Rule: Divide by 7
113
53 What number goes in the input­output table where the question mark is?
IN
OUT
28
6
Answer
2
?
49
9
Rule: Divide by 7
114
54 What number goes in the input­output table where the question mark is?
OUT
2
28
6
Answer
IN
49
?
9
Rule: Divide by 7
115
55 Which equations are true?
Select the three correct answers.
B 3 x 4 = 12
÷ C 10 5 = 5
Answer
A 7 7 = 0
÷ D 16 2 = 8
÷ E 0 x 6 = 0
From PARCC PBA sample test #2
116
Answer
56 42 7 = ÷ From PARCC EOY sample test #16
117
Dividing by 8
Return to
Table of Contents
118
Dividing by 8
Teacher Notes
The pet store needs to reorganize its fish into new aquariums. Each new aquarium can only hold 8 fish. Can you help them move their 24 fish?
What is the division problem?
119
Dividing by 8
Complete the table below. A number is divisible by 8 if you can divide it by 2 a total of 3 times. For example, 24 / 2 = 12 12 / 2 = 6 6 / 2 = 3. We were able to divide it by 2 a total of 3 times. So, 24 / 8 = 3 IN
OUT
24
16
10
48
8
Rule: Divide by 8
120
121
Click here to play a game to practice dividing by 8.
122
57 What number goes in the input­output IN
OUT
?
2
40
4
Answer
table where the question mark is?
72
7
Rule: Divide by 8
123
58 What number goes in the input­output table where the question mark is?
IN
OUT
?
40
4
Answer
2
72
7
Rule: Divide by 8
124
59 What number goes in the input­output table where the question mark is?
OUT
2
40
?
4
Answer
IN
72
7
Rule: Divide by 8
125
60 What number goes in the input­output table where the question mark is?
IN
OUT
40
4
Answer
2
?
72
7
Rule: Divide by 8
126
61 What number goes in the input­output table where the question mark is?
OUT
2
40
Answer
IN
4
72
?
7
Rule: Divide by 8
127
Answer
÷ 62 56 8 = From PARCC EOY sample test #10
128
Answer
63 64 = 8
÷ From PARCC EOY sample test #20
129
Dividing by 9
Return to
Table of Contents
130
Dividing by 9
Teacher Notes
Uncle Eddy has 9 nieces and nephews. He has 18 gifts to give away. How many gifts will each niece or nephew receive? What is the division problem?
131
Dividing by 9
If you add the digits of a number together and it equals a number that is divisible by 9, then that number is divisible by 9.
For example, 36 ÷ 3 =
3 + 6 = 9
Since 9 is the sum, then 36 is divisible by 9.
IN
OUT
27
18
10
45
7
Rule: Divide by 9
132
Dividing by 9
Decide if each number is divisible by 9. Pop each balloon to see if you are correct.
18
Yes
36
Yes
29
No
45
Yes
55
63
54
81
No
Yes
Yes
Yes
133
Click here to play a game to practice dividing by 9.
134
Answer
64 9 ÷ 0 = _____
135
Answer
65 45 ÷ 9 = _____
136
Answer
÷ 66 81 9 = From PARCC EOY sample test #39
137
÷ 67 Cindy is finding the quotient for 27 9. She says, "The answer is 18 because addition is the opposite of division and 9 + 18 = 27.
Yes
Answer
Is Cindy correct?
No
Explain why
From PARCC PBA sample test #6
138
68 How can Cindy correct her reasoning?
Answer
What is the quotient when 27 is divided by 9.
From PARCC sample test
139
Dividing by 10
Return to
Table of Contents
140
Dividing by 10
Teacher Notes
Haley has $100. If she spends $10 at each store, how many stores can she visit?
store
store
store
store
store
store
store
store
store
store
What is the division problem?
141
Dividing by 10
Numbers that can be divided by 10 all end in 0.
IN
OUT
20
40
10
50
7
Rule: Divide by 10
142
143
Click here to play a game to practice dividing by 10.
144
69 What number goes in the input­output table where the question mark is?
IN
OUT
40
6
80
Answer
2
?
7
Rule: Divide by 10
145
70 130 is divisible by 10.
True Answer
False
146
71 98 is divisible by 10.
Yes Answer
No 147
72 Which two equations represent TRUE divisions sentences.
A 100 / 10 = 10
C 120 / 120 = 120
D 50 / 5 = 10
Answer
B 30 / 3 = 3
148
Answer
÷ 73 80 10 = ?
149
Division Word Problems
Return to
Table of Contents
150
Division Word Problems
When given a word problem, read it carefully and try to picture the story that is being told.
Make sure you understand what the question is asking for. Don't forget the units in your answer.
151
Division Word Problems
÷ =
Teacher Notes
Aliyah bought 24 pieces of candy. She wanted to share her candy equally with herself and 3 of her friends. How many pieces of candy wi ll each person get?
What words means to divide? Look for these words in each problem.
152
Division Word Problems
Mr. Wall has 14 erasers. He wanted to give each of his students 2 erasers. How many students does Mr. Wall have?
Teacher Notes
÷ =
153
Division Word Problems
÷ =
Teacher Notes
The third grade students want to arrange their 15 chairs for a performance in their room. If they can fit 5 chairs across, how many rows will they have?
154
Click here to practice solving division word problems.
155
Division Word Problems
Work in your group to create division story problems for the following number sentences:
45 ÷ 9 = 5
42 ÷ 6 = 7
18 ÷ 2 = 9
9 ÷ 1 = 9
156
74 Is this a division number story? Yes
No Answer
The basketball team needed new shoelaces. If there are 5 players, how many shoelaces do they need in all?
157
75 Is this a division number story?
Yes
No
Answer
Jenny and her sister received a bag of 10 different colored hats from their grandma. How many hats does each girl receive?
158
76 Solve : Jenny and her sister received a Answer
bag of 10 different colored hats from their grandma. How many hats does each girl receive?
159
77 Is this a division number story?
Yes
No Answer
The triplets were given $21 to split among them. How much money does each child get?
160
78 Solve : The triplets were given $21 to split A
$3
B
$7
C
$21
Answer
among them. How much money does each child get?
161
79 Is this a division number story?
Yes
No Answer
Pizzas were bought for Tonya's birthday party. If each pizza has 8 slices and there were 56 slices in all. How many pizzas were bought?
162
80 Solve: Pizzas were bought for Tonya's Answer
birthday party. If each pizza has 8 slices and there were 56 slices in all. How many pizzas were bought?
163
81 Is this a division number story?
Yes
No Answer
There 8 children on the soccer team. Each player sells 2 boxes of candy. How many boxes are sold?
164
82 Which three statements can be represented by the expression 24 4?
÷ A Jake makes 24 muffins. He gives away 4 muffins.
C Amira has 24 trading cards. She puts them into piles containing 4 cards each.
Answer
B Collin has 24 toy trucks. He sorts them into groups of 4 trucks each.
D Rosemary puts 24 stickers in each book. She uses enough stickers to fill 4 books.
E Steven fills a new bookshelf with 24 books. He puts the same number of books on each of the 4 shelves.
From PARCC EOY sample test #22
165
83 Brian has 48 cupcakes in 6 boxes. Each box holds an equal number of cupcakes. Bryan uses this equation to find how many cupcakes are in each box.
Create a different equation Bryan could use to find the number of cupcakes in each of the 6 boxes.
Select one from each group.
A ?
D +
H ?
B 6
E ­
I 6
C 48
F x
J 48
From PARCC PBA sample test #11
Answer
48 ÷ 6 = ?
= 48
G ÷ 166
84 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons.
How many red balloons does Mr. Kahn have?
A 8
Answer
Part A
B 9
C 32
D 36
From PARCC PBA sample test #12
167
85 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons.
Part B
Answer
Mr. Kahn gave away 8 blue balloons and 6 red balloons. He gave away 3 times the number of white balloons as red balloons. What was the total number of balloons Mr. Kahn gave away?
A 17
B 23
C 32
D 42
From PARCC sample test
168