Strategies for Division
(Common Core)
3, 6, 9, 12, 15,
By
eanne Armstrong
J. Armstrong 2013
Table of Contents:
p.
p.
p.
p.
3-9
10
11
12-13
p.
p.
p.
p.
p.
p.
p.
p.
p.
p.
p.
p.
14-18
19-23
24-26
27-31
32-36
37-41
42-45
46-49
50-52
53-54
55-62
63
Division Strategy Mini-Posters
Properties of Division Mini-Poster
Multiplication Table (to 12x12)
Reduced-size Mini Posters (4 per page) – can be printed/copied
for student reference
Draw a Picture/Equal Groups: practice, homework, answer keys
Using Arrays: practice, homework, answer keys
Problem Solving using Equal Groups & Arrays (with answer key)
Skip Counting: practice, homework, answer keys
Repeated Subtraction/Addition: practice, homework, answer keys
Using a Multiplication Table: practice, homework, answer keys
Related Facts: practice, homework, answer keys
Division Facts Practice (with answer keys)
Multiplication/Division Number Bonds
Division Card Game (with recording sheet)
Division Task Cards (with recording sheet and answer key)
Thank You & Credits
J. Armstrong 2013
Division
splitting a number up into equal groups
(the inverse operation of multiplication)
÷
=
(the larger #)
(the smaller #)
(the answer)
how many things
there are
the number of groups
how many are in
each group
J. Armstrong 2013
Draw a Picture
(Equal Groups)
18 ÷ 3 =
3 equal groups of 6 = 18
J. Armstrong 2013
Use an Array
6 columns
3 rows
18 ÷ 3 =
J. Armstrong 2013
Skip Count
18 ÷ 3 =
1
2
3
4
5
6
0, 3, 6, 9, 12, 15, 18
J. Armstrong 2013
Use Repeated
Subtraction or Addition
18 ÷ 3 =
18 – 3 = 15
15 – 3 = 12
12 – 3 = 9
9–3=6
6–3=3
3–3=0
(1)
(2)
(3)
(4)
(5)
( )
0+3=3
3+3=6
6+3=9
9 + 3 = 12
12 + 3 = 15
15 + 3 = 18
(1)
(2)
(3)
(4)
(5)
( )
J. Armstrong 2013
Use a
Multiplication Table
18 ÷ 3 =
x
1
2
3
4
5
1
1
2
3
4
5
2
2
4
6
8
10
3
3
6
9
12
15
4
4
8
12
16
20
5
5
10
15
20
25
6
6
12
18
24
30
J. Armstrong 2013
Use Related Facts
(Fact Families)
18 ÷ 3 =
3x
3 x 6 = 18
6 x 3 = 18
= 18
18 ÷ 3 = 6
18 ÷ 6 = 3
J. Armstrong 2013
Properties of Division
Property:
Examples:
Division is the inverse operation of
multiplication.
6 x 8 = 48
48 ÷ 8 = 6
Zero divided by any number equals zero
0 ÷5 = 0
0÷9=0
You CANNOT divide a number by zero.
5 ÷ 0 = undefined
Any number divided by one equals itself
8÷1=8
12 ÷ 1 = 12
Any number divided by itself equals one
8÷8=1
12 ÷ 12 = 1
Distributive Property – you can break
dividends apart into friendlier numbers,
divide each by the divisor, then add the
quotients.
42 ÷ 6 = ?
(30 ÷ 6) + (12 ÷ 6)
5+2=7
J. Armstrong 2013
Multiplication Table
x
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
2
2
4
6
8
10
12
14
16
18
20
22
24
3
3
6
9
12
15
18
21
24
27
30
33
36
4
4
8
12
16
20
24
28
32
36
40
44
48
5
5
10
15
20
25
30
35
40
45
50
55
60
6
6
12
18
24
30
36
42
48
54
60
66
72
7
7
14
21
28
35
42
49
56
63
70
77
84
8
8
16
24
32
40
48
56
64
72
80
88
96
9
9
18
27
36
45
54
63
72
81
90
99
108
10
10
20
30
40
50
60
70
80
90
100 110 120
11
11
22
33
44
55
66
77
88
99
110 121 132
12
12
24
36
48
60
72
84
96
108 120 132 144
J. Armstrong 2013
Name: ___________________________
Division Practice – Draw a Picture
Draw a picture of equal groups to solve the following division problems:
1.
12 ÷ 4= __________
2.
35 ÷ 5 = _________
3.
24 ÷ 3 = _________
4.
16 ÷ 4 = __________
J. Armstrong 2013
Division Practice – Draw a Picture (page 2)
5. I have 24 flowers. If I want to put the flowers equally into 6 vases, how many flowers
should I put in each vase?
6. There are some tricycles at the park. Each tricycle has 3 wheels. If I count 21 wheels,
how many tricycles are there?
7. I have 30 pieces of gum. I want to share the gum equally among 5 friends. How
many pieces of gum will each friend get?
8. I have 32 loose crayons that need to be put equally into 4 boxes. How many crayons
can fit into each box?
J. Armstrong 2013
Division Practice – ANSWER KEY
1. 12 ÷ 4=
3
7
2.
35 ÷ 5 =
3.
24 ÷ 3 = 8
4.
16 ÷ 4 = 4
5. I have 24 flowers. If I want to put the flowers equally into 6 vases, how many flowers
should I put in each vase?
24 ÷ 6 = 4 flowers
6. There are some tricycles at the park. Each tricycle has 3 wheels. If I count 21 wheels,
how many tricycles are there?
21 ÷ 3 = 7 tricycles
7. I have 30 pieces of gum. I want to share the gum equally among 5 friends. How many
pieces of gum will each friend get?
30 ÷ 5 = 6 pieces of gum
8. I have 32 crayons that need to be put equally into 4 boxes. How many crayons can fit
into each box?
32 ÷ 4 = 8 crayons
J. Armstrong 2013
Name: ___________________________
Division Strategy: Draw a Picture - Homework
Directions: Draw a picture of equal groups to solve the following division problems.
1.
20 ÷4 = _______
2.
18 ÷ 3 = _______
3.
14 ÷ 2= _______
4.
28 ÷ 7 = _______
5. There are 6 friends at a birthday party. If there are 36 cookies to share equally, how
many cookies will each person get?
J. Armstrong 2013
Division Strategy: Draw a Picture – Homework - ANSWER KEY
Directions: Draw a picture of equal groups to solve the following division problems.
1.
20 ÷4 = 5
2.
18 ÷ 3 = 6
3.
14 ÷ 2= 7
4.
28 ÷ 7 = 4
5. There are 6 friends at a birthday party. If there are 36 cookies to share equally, how
many cookies will each person get?
36 ÷ 6 = 6 cookies
J. Armstrong 2013
Name: ___________________________
Division using Arrays - Practice
Directions: Use an array to solve the following division problems:
1.
20 ÷5 = _____
2.
42 ÷6 = _______
3.
24 ÷ 3= _______
4.
32 ÷ 8 = _______
5. Write a division sentence for this array:
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
6. Write a division sentence for this array:
X X X X
X X X X
X X X X
J. Armstrong 2013
Division using Arrays - Practice (page 2)
Use an array to solve the following problems:
7. There are 36 corn plants. If the farmer plants them in 4 equal rows, how many plants will there be in
each row?
8. There are 21 cans of soda in the vending machine. If each there are 3 equal rows, how many cans
are there in each row?
9. If there are 30 stamps on a page in 5 equal rows, how many stamps are there in each row?
10. There are 7 rows in the parking lot and every space is full. If there are 28 cars in all, how many cars
are parked in each row?
J. Armstrong 2013
Division Using Arrays – Practice – ANSWER KEY
Directions: Use an array to solve the following division problems:
1.
20 ÷5 = 4
2.
42 ÷6 = 7
3.
24 ÷ 3= 8
4.
32 ÷ 8 = 4
5. Write a division sentence for this array:
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
6. Write a division sentence for this array:
*
*
*
*
*
X X X X
X X X X
X X X X
12 ÷ 3 = 4
25 ÷5 = 5
7. There are 36 corn plants. If the farmer plants them in 4 equal rows, how many plants will there be in
each row?
36 ÷ 4 = 9 corn plants
8. There are 21 cans of soda in the vending machine. If each there are 3 equal rows, how many cans
are there in each row?
21 ÷ 3 = 7 cans
9. If there are 30 stamps on a page in 5 equal rows, how many stamps are there in each row?
30 ÷ 5 = 6 stamps
10. There are 4 rows in the parking lot and every space is full. If there are 28 cars in all, how many cars
are parked in each row?
28 ÷ 4 = 7 cars in each row
J. Armstrong 2013
Name: ___________________________
Division Using Arrays - Homework
Directions: Use an array to solve the following problems:
1.
24 ÷ 6 = ______
2.
18 ÷3 = _______
3.
40 ÷8 = _______
4.
25 ÷ 5 = _______
5. The town of Mathville has 20 city blocks arranged in an array. If the town is 5
blocks wide, how many blocks long is it? (Write a division sentence to show your
answer.)
J. Armstrong 2013
Division Strategy: Using arrays – Homework – ANSWER KEY
Directions: Use an array to solve the following problems:
1.
24 ÷ 6 = 4
3. 40 ÷8 = 5
XXXX
XXXX
XXXX
XXXX
XXXX
XXXX
XXXXX
XXXXX
XXXXX
XXXXX
XXXXX
XXXXX
XXXXX
XXXXX
2. 18 ÷3 = 6
XXXXXX
XXXXXX
XXXXXX
4. 25 ÷ 5 = 5
XXXXX
XXXXX
XXXXX
XXXXX
XXXXX
5. The town of Mathville has 20 city blocks arranged in an array. If the town is 5
blocks wide, how many blocks long is it? (Write a division sentence to show your
answer.)
20 ÷ 5 = 4 blocks
J. Armstrong 2013
Name/#: ___________________________
Division Using Equal Groups and Arrays - Problem Solving
Use an array to solve the following problems:
1. Isabelle has a sheet of 70 stickers. If there are 10 stickers in each row, how many rows are there?
2. There are 4 rows of bleachers at the baseball field. If 32 people can sit in the bleachers in equal
rows, how many people can fit in each row?
3. There are 36 boxes of cereal arranged in equal rows at the grocery store. If each shelf can hold 9
boxes, how many shelves are there?
4. Michael collects stamps in a book. Each page in his book has 6 rows and he can fit 30 stamps on
each page. How many stamps can fit in each row? (Challenge: If he has 120 stamps in his book
and he can fit 30 stamps on each page, how many pages does he have in his book?)
J. Armstrong 2013
Division Using Equal Groups and Arrays – Problem Solving (page 2)
Draw a picture of equal groups to solve the following problems:
5. I have 28 balloons to put into 4 equal bundles. How many balloons should go in each bundle?
6. There were a bunch of lions at the zoo. If I counted 16 legs, how many lions were there?
7. A teacher needs to pass 24 pieces of paper out equally to a reading group. If there are 8 students in
the reading group, how many pieces of paper will each student get?
8. My mom made cupcakes for the bake sale. She made 42 cupcakes to divide equally among 6
plates. How many cupcakes should she put on each plate?
J. Armstrong 2013
Name/#: ___________________________
Division Using Equal Groups and Arrays - Problem Solving – ANSWER KEY
Use an array to solve the following problems:
1. Isabelle has a sheet of 70 stickers. If there are 10 stickers in each row, how many rows are there?
70 ÷ 10 = 7 rows
2. There are 4 rows of bleachers at the baseball field. If 32 people can sit in the bleachers in equal
rows, how many people can fit in each row?
32 ÷ 4 = 8 people in each row
3. There are 36 boxes of cereal arranged in equal rows at the grocery store. If each shelf can hold 9
boxes, how many shelves are there?
36 ÷ 9 = 4 shelves
4. Michael collects stamps in a book. Each page in his book has 6 rows and he can fit 30 stamps on
each page. How many stamps can fit in each row? (Challenge: If he has 120 stamps in his book and he
can fit 30 stamps on each page, how many pages does he have in his book?)
30 ÷ 6 = 5 stamps per row
Challenge: 120 ÷ 30 = 4 pages in the book
Draw a picture of equal groups to solve the following problems:
5. I have 28 balloons to put into 4 equal bundles. How many balloons should go in each bundle?
28 ÷ 4 = 7 balloons
6. There were a bunch of lions at the zoo. If I counted 16 legs, how many lions were there?
16 ÷ 4 = 6 lions
7. A teacher needs to pass 24 pieces of paper out equally to a reading group. If there are 8 students in
the reading group, how many pieces of paper will each student get?
24 ÷ 8 = 3 pieces of paper
8. My mom made cupcakes for the bake sale. She made 42 cupcakes to divide equally among 6
plates. How many cupcakes should she put on each plate?
42 ÷ 6 = 7 cupcakes
J. Armstrong 2013
Name: ___________________________
Division using Skip Counting - Practice
Directions: Use skip counting to solve the following division problems:
1.
16 ÷ 2 = _____
2.
35 ÷5 = _______
3.
12 ÷ 3 = _______
4.
20 ÷ 5 = _______
5.
14 ÷ 2 = _______
6.
60 ÷10 = _______
J. Armstrong 2013
Division using Skip Counting - Practice (page 2)
Use skip counting to solve the following problems:
7. There are 60 chairs in equal rows in the auditorium. If there are 5 chairs in each row, how many
rows are there?
8. If there are 18 cookies to share equally among 6 friends, how many cookies would each person
get?
9. There are 80 markers in all If 10 markers can fit in a box, how many boxes would you need to fit all
the markers?
10. My family and I picked 30 apples. There are five of us in the family. If we shared the apples equally,
how many apples would each person get?
J. Armstrong 2013
Division using Skip Counting - Practice – ANSWER KEY
Use skip counting to solve the following problems:
1.
16 ÷ 2 = 8
2, 4, 6, 8, 10, 12, 14, 16
2.
35 ÷5 = 7
5, 10, 15, 20, 25, 30, 35
3.
12 ÷ 3 = 4
3, 6, 9, 12
4.
20 ÷ 5 = 4
5, 10, 15, 20
5.
14 ÷ 2 = 7
2, 4, 6, 8, 10, 12, 14
6.
60 ÷10 = 6
10, 20, 30, 40, 50, 60
7. There are 60 chairs in equal rows in the auditorium. If there are 5 chairs in each row, how many
rows are there?
60 ÷ 5 = 12 rows
8. If there are 18 cookies to share equally among 6 friends, how many cookies would each person get?
18 ÷ 6 = 3 cookies
9. There are 80 markers in all If 10 markers can fit in a box, how many boxes would you need to fit all
the markers?
80 ÷ 10 = 8 boxes
10. My family and I picked 30 apples. There are five of us in the family. If we shared the apples equally,
how many apples would each person get?
30 ÷ 5 = 6 apples
J. Armstrong 2013
Name: ___________________________
Division using Skip Counting - Homework
Directions: Use Skip Counting to solve the following division problems:
1.
45 ÷ 5 = _______
2. 21 ÷ 3 = _______
3.
16 ÷ 2 = _______
4. 40 ÷ 10 = _______
5. Ms. Armstrong’s class has 30 students. If they are divided into 5 equal groups,
how many students will be in each group?
6. Challenge: Ms. Armstrong and Mrs. Moreau’s classes get together for a party.
There are 60 students in all. If they are divided into 5 equal groups, how many
students will be in each group? Explain how you could use your answer from
question #5 to help you solve this problem.
J. Armstrong 2013
Division using Skip Counting – Homework – ANSWER KEY
Directions: Use Skip Counting to solve the following division problems:
1. 45 ÷ 5 = 9
2. 21 ÷ 3 = 7
5, 10, 15, 20, 25, 30, 35, 40, 45
3. 16 ÷ 2 = 8
3, 6, 9, 12, 15, 18, 21
4. 40 ÷ 10 = 4
2, 4, 6, 8, 10, 12, 14, 16
10, 20, 30, 40
5. Ms. Armstrong’s class has 30 students. If they are divided into 5 equal groups,
how many students will be in each group?
30 ÷ 5 = 6 students in each group
6. Challenge: Ms. Armstrong and Mrs. Moreau’s classes get together for a party.
There are 60 students in all. If they are divided into 5 equal groups, how many
students will be in each group? Explain how you could use your answer from
question #5 to help you solve this problem.
60 ÷ 5 = 12 students in each group
(or you could double your answer from #5, since 60 is double 30)
J. Armstrong 2013
Name: ___________________________
Division using Repeated Subtraction/Addition - Practice
Directions: Use Repeated Subtraction or Repeated Addition to solve the following problems:
1.
32 ÷ 8 = _______
2.
12 ÷ 4 = _______
3.
18 ÷ 6= _______
4.
54 ÷ 9 = _______
5.
42 ÷ 6 = ________
6.
33 ÷ 11 = _______
J. Armstrong 2013
Division Using Repeated Subtraction/Addition - Practice (page 2)
Solve the following problems using Repeated Subtraction or Repeated Addition:
7. Pete loves to collect rocks. He collected 28 rocks last week. If he collected the same number of
rocks each day, how many rocks did he collect per day?
8. April is trying to reach a new reading goal. Her book is 72 pages long. She plans to read 12 pages
each day. How many days will it take her to read the whole book?
9. There are 24 fish at the pet store that need to be put into bowls. If 8 fish can share a bowl, how
many bowls will they need for all the fish?
10. We are doing an art project and need ribbons cut into 4-inch pieces. If I have a ribbon that is 16
inches long, how many 4-inch pieces can I make for my project?
J. Armstrong 2013
Division Using Repeated Subtraction/Addition – Practice – ANSWER KEY
Solve the following problems using Repeated Subtraction or Repeated Addition:
1.
32 ÷ 8 = 4
2.
12 ÷ 4 = 3
3.
18 ÷ 6 = 3
4.
54 ÷ 9 = 6
5.
42 ÷ 6 = 7
6.
33 ÷ 11 = 3
7. Pete loves to collect rocks. He collected 28 rocks last week. If he collected the same number of
rocks each day, how many rocks did he collect per day?
28 ÷ 7 = 4 rocks per day
8. April is trying to reach a new reading goal. Her book is 72 pages long. She plans to read 12 pages
each day. How many days will it take her to read the whole book?
72 ÷ 12 = 6 days
9. There are 24 fish at the pet store that need to be put into bowls. If 8 fish can share a bowl, how
many bowls will they need for all the fish?
24 ÷ 8 = 3 bowls
10. We are doing an art project and need ribbons cut into 4-inch pieces. If I have a ribbon that is 16
inches long, how many 4-inch pieces can I make for my project?
16 ÷ 4 = 4 pieces of ribbon
J. Armstrong 2013
Name: ___________________________
Division using Repeated Subtraction/Addition - Homework
Directions: Use Repeated Subtraction or Repeated Addition to solve the following problems:
1.
27 ÷ 9 = _______
2.
28 ÷ 4 = _______
3.
48 ÷ 12 = _______
4.
30 ÷ 6 = _______
5.
Glenn has 24 apples. If he picked 6 apples each day, how many days did it take him to
pick all 24?
J. Armstrong 2013
Division using Repeated Subtraction/Addition – Homework – ANSWER KEY
Directions: Use Repeated Subtraction or Repeated Addition to solve the following problems:
1.
27 ÷ 9 = 3
2.
28 ÷ 4 = 7
3.
48 ÷ 12 = 4
4.
30 ÷ 6 = 5
5.
Glenn picked 6 apples each day. How many days did it take him to pick 24 apples?
6 + 6 + 6 + 6 = 24
24 ÷ 6 = 4
4 days
J. Armstrong 2013
Name: ___________________________
Division Using a Multiplication Table - Practice
Directions: Use a Multiplication Table to solve the following problems:
1.
72 ÷ 6 = _______
2.
42 ÷ 7 = _______
3.
36 ÷ 4 = _______
4.
64 ÷ 8 = _______
5.
There are 72 chairs arranged in 9 equal rows. How many chairs are in each row?
J. Armstrong 2013
Division Using a Multiplication Table – Practice (page 2)
Directions: Use a Multiplication Table to solve the following problems:
6. There are 28 flowers to be put equally into 4 vases. How many flowers should go into each vase?
7. There are 32 students in the class. If they are put into 4 equal reading groups, how many students
would be in each reading group?
8. A tricycle has 3 wheels. How many tricycles are there if you count 27 wheels?
9. I have 56 books. If I can fit 8 books on a shelf, how many shelves will I need for all of my books?
10. I am trying to make more bookshelves. Each shelf is 12 inches long. If I have a piece of wood that is
108 inches long, how many shelves could I make?
J. Armstrong 2013
Division Using a Multiplication Table – Practice ANSWER KEY
Directions: Use a Multiplication Table to solve the following problems:
1.
2.
3.
4.
72 ÷ 6 = 12
42 ÷ 7 = 6
36 ÷ 4 = 9
64 ÷ 8 = 8
5. There are 72 chairs arranged in 9 equal rows. How many chairs are in each row?
8 chairs
6. There are 28 flowers to be put equally into 4 vases. How many flowers should go into each vase?
7 flowers
7. There are 32 students in the class. If they are put into 4 equal reading groups, how many students
would be in each reading group?
8 students
8. A tricycle has 3 wheels. How many tricycles are there if you count 27 wheels?
9 tricycles
9. I have 56 books. If I can fit 8 books on a shelf, how many shelves will I need for all of my books?
7 shelves
10. I am trying to make more bookshelves. Each shelf is 12 inches long. If I have a piece of wood that is
108 inches long, how many shelves could I make?
9 shelves
J. Armstrong 2013
Name: ___________________________
Division using a Multiplication Table - Homework
Directions: Use a Multiplication Table to solve the following problems:
1.
81 ÷ 9 = _______
2.
49 ÷ 7 = _______
3.
88 ÷ 8 = _______
4.
32 ÷ 4 = _______
5.
64 ÷ 8 = _______
6.
56 ÷ 7 = _______
7.
27 ÷ 3 = _______
8.
54 ÷ 6 = _______
9. There are 48 cupcakes at the birthday party. If there are 8 children and they share the
cupcakes equally, how many cupcakes would each child get?
10. A farmer is building a fence along one of his fields. He needs the fence to be 72 feet long.
If the boards he uses are 8 feet long, how many boards will he need to build his fence?
J. Armstrong 2013
Division using a Multiplication Table – Homework – ANSWER KEY
Directions: Use a Multiplication Table to solve the following problems:
1.
81 ÷ 9 = 9
2.
49 ÷ 7 = 7
3.
88 ÷ 8 = 11
4.
32 ÷ 4 = 8
5.
64 ÷ 8 = 8
6.
56 ÷ 7 = 8
7.
27 ÷ 3 = 9
8.
54 ÷ 6 = 9
9.
There are 48 cupcakes at the birthday party. If there are 8 children and they share the
cupcakes equally, how many cupcakes would each child get?
48 ÷ 8 = 6 cupcakes
10. A farmer is building a fence along one of his fields. He needs the fence to be 72 feet long.
If the boards he uses are 8 feet long, how many boards will he need to build his fence?
72 ÷ 8 = 9 boards
J. Armstrong 2013
Name: _________________________
Division using Related Facts - Practice
Directions: Write a related multiplication problem and solve the following division problems:
1. 36 ÷ 9 = ______
2. 24 ÷ 8 = ______
3. 21 ÷ 7 = ______
4. 16 ÷ 4 = ______
5. 35 ÷ 5 = ______
6. 63 ÷ 9 = _____
Directions: Complete the fact family for each of the following division problems:
7. 24 ÷ 6 = 4
_____________
9. 54 ÷ 9 = 6
_____________
____________
____________
____________
____________
8. 42 ÷ 7 = 6
_____________
10. 32 ÷ 8 = 4
_____________
____________
____________
____________
____________
J. Armstrong 2013
Division using Related Facts – Practice – ANSWER KEY
Directions: Write a related multiplication problem and solve the following division problems:
1. 36 ÷ 9 = 4
3. 21 ÷ 7 = 3
5. 35 ÷ 5 = 7
9 x 4 = 36
7 x 3 = 21
5 x 7 = 35
2. 24 ÷ 8 = 3
4. 16 ÷ 4 = 4
6. 63 ÷ 9 = 7
8 x 3 = 24
4 x 4 = 16
9 x 7 = 63
Directions: Complete the fact family for each of the following division problems:
7. 24 ÷ 6 = 4
6 x 4 = 24
8. 42 ÷ 7 = 6
7 x 6 = 42
24 ÷ 4 = 6
4 x 6 = 24
42 ÷ 6 = 7
6 x 7 = 42
9. 54 ÷ 9 = 6
9 x 6 = 54
54 ÷ 6 = 9
6 x 9 = 54
10. 32 ÷ 8 = 4
8 x 4 = 32
32 ÷ 4 = 8
4 x 8 = 32
J. Armstrong 2013
Name: _________________________
Division using Related Facts - Homework
Directions: Write a related multiplication problem and solve the following division problems:
1. 45 ÷ 9 = ______
2. 49 ÷ 7 = ______
3. 28 ÷ 7 = ______
4. 20 ÷ 4 = ______
Directions: Complete the fact family for each of the following division problems:
5. 48 ÷ 6 = 8
_____________
7. 72 ÷ 9 = 8
_____________
____________
____________
____________
____________
6. 35 ÷ 7 = 5
_____________
8. 48 ÷ 12 = 4
_____________
____________
____________
____________
____________
J. Armstrong 2013
Division using Related Facts – Homework – ANSWER KEY
Directions: Write a related multiplication problem and solve the following division problems:
1. 45 ÷ 9 = 5
3. 28 ÷ 7 = 4
9 x 5 = 45
7 x 4 = 28
2. 49 ÷ 7 = 7
4. 20 ÷ 4 = 5
7 x 7 = 49
4 x 5 = 20
Directions: Complete the fact family for each of the following division problems:
5. 48 ÷ 6 = 8
6 x 8 = 48
6. 35 ÷ 7 = 5
7 x 5 = 35
48 ÷ 8 = 6
8 x 6 = 48
35 ÷ 5 = 7
5 x 7 = 35
7. 72 ÷ 9 = 8
9 x 8 = 72
8. 48 ÷ 12 = 4
12 x 4 = 48
72 ÷ 8 = 9
8 x 9 = 72
48 ÷ 4 = 12
4 x 12 = 48
J. Armstrong 2013
Name: ________________________
Division Facts Practice #1
12 ÷ 6
18 ÷ 3
42 ÷ 7
16 ÷4
30 ÷ 5
9÷3
24 ÷ 4
32 ÷ 8
45 ÷ 9
44 ÷11
48 ÷ 6
27 ÷ 3
12 ÷ 4
24 ÷ 8
49 ÷ 7
8÷1
36 ÷ 6
14 ÷ 2
21 ÷ 7
4÷2
35 ÷ 5
36 ÷ 12
25 ÷ 5
15 ÷ 3
28 ÷ 4
J. Armstrong 2013
Division Facts Practice #1 – ANSWER KEY
12 ÷ 6
18 ÷ 3
42 ÷ 7
16 ÷4
30 ÷ 5
2
6
6
4
6
9÷3
24 ÷ 4
32 ÷ 8
45 ÷ 9
44 ÷11
3
6
4
5
4
48 ÷ 6
27 ÷ 3
12 ÷ 4
24 ÷ 8
49 ÷ 7
8
9
3
3
7
8÷1
36 ÷ 6
14 ÷ 2
21 ÷ 7
4÷2
8
6
7
3
2
35 ÷ 5
36 ÷ 12
25 ÷ 5
15 ÷ 3
28 ÷ 4
7
3
5
5
7
J. Armstrong 2013
Name: ________________________
Division Facts Practice #2
36 ÷ 6
15 ÷ 3
28 ÷ 7
24 ÷ 4
50 ÷ 5
12 ÷ 3
24 ÷ 6
48 ÷ 8
27 ÷ 9
33 ÷11
42 ÷ 6
24 ÷ 3
36 ÷ 4
40 ÷ 8
21 ÷ 7
12 ÷ 1
18 ÷ 6
16 ÷ 2
9÷9
6÷3
20 ÷ 5
72 ÷ 8
30 ÷ 5
15 ÷ 5
32 ÷ 4
J. Armstrong 2013
Division Facts Practice #2 – ANSWER KEY
36 ÷ 6
15 ÷ 3
28 ÷ 7
24 ÷ 4
50 ÷ 5
6
5
4
6
10
12 ÷ 3
24 ÷ 6
48 ÷ 8
27 ÷ 9
33 ÷11
4
4
6
3
3
42 ÷ 6
24 ÷ 3
36 ÷ 4
40 ÷ 8
21 ÷ 7
7
8
9
5
3
12 ÷ 1
18 ÷ 6
16 ÷ 2
9÷9
6÷3
12
3
8
1
2
20 ÷ 5
72 ÷ 8
30 ÷ 5
15 ÷ 5
32 ÷ 4
4
9
6
3
8
J. Armstrong 2013
Multiplication & Division Number Bonds – information/instructions
Number Bonds are a great way for students to conceptualize the inverse
relationship between multiplication and division, reinforce fact families, as well as
learn their math facts. Students must use what they know about multiplication
and division to fill in the missing number. The number in the square is the product
created by multiplying the two factors in the circles. For example:
48
6
8
Students must use either multiplication or division to solve the number bonds,
depending on which number is missing:
24
For example:
In this number bond, students would need to
divide 24 ÷ 4 to find the missing number 6.
4
For example:
5
7
In this number bond, students would need to
multiply 5 x 7 to find the missing number 35.
There are two Number Bonds worksheets included in this file. The first has 25 Number Bonds
for students to complete. The second is a blank page that you can use to write in additional
problems. A great suggestion is to put these worksheets into page protectors for students
to do as a center, for extra practice, or when they’ve completed other work.
Name: _________________________
Multiplication & Division Number Bonds
Directions: Fill in the missing number. The number in the square is the product of the two factors in the circles.
ex.
14
2
6
7
40
5
21
3
12
27
7
8
72
8
8
6
8
6
49
4
28
56
7
9
24
16
5
64
6
4
63
7
7
36
9
48
42
32
3
3
6
4
18
8
8
35
24
7
7
81
9
J. Armstrong 2013
Name: _______________________________
Multiplication & Division Number Bonds
Directions: Fill in the missing number. The number in the square is the product of the two factors in the circles.
J. Armstrong 2013
Materials needed:
a deck of cards with face cards removed. The value of
each card will be the number on the card, Aces are worth 1.
Directions:
This game is played with three players.
1. Player A will give one card each to Player B and Player C.
2. Player B and Player C WILL NOT look at their cards. Instead, they will hold
them up to their forehead, facing outwards so they cannot see their own
card, but they can see the other player’s card.
3. Player A will multiply the value of the two cards and say the product aloud.
4. Player B and Player C need to figure out what card they have on their
forehead by dividing the product said by Player A by the card they see on
the other player’s head. The first one to correctly say the value of their card
wins that round. Example: Player B’s card is a 4 and Player C has a 6. Player
A would say “24” because 4x6=24. Player B can see that Player C has a 6, he
would divide 24 by 6 and figure out that he must have a 4.
5. Students can change roles each round if you like, or you can make up
some parameters like whoever reaches 10 points first will be Player A in the
next round, etc.
6. This game is great just for fun or as a time-filler, but for accountability or as a
center, you may choose to have your students complete the recording sheet.
J. Armstrong 2013
Division Card Game Recording Sheet
Players: _________________
_________________
________________
Round
Number
Player A
(Dividend)
Player B
(Divisor)
Player C
(Quotient)
Division Sentence
Winner
Ex.
24
6
4
24 ÷ 6 = 4 or 24 ÷ 4 = 6
C
1
2
3
4
5
6
7
8
9
10
11
12
Directions:
1. Choose a task card.
2. Decide which strategy to use.
3. Solve the division problem. Make sure to show
your work in the correct box on the Recording Sheet.
J. Armstrong 2013
12 ÷ 4 = ____
24 ÷ 6 = _____
35 ÷ 5 = ___
5.
3.
1.
4.
63 ÷ 9 = _____
6.
There are 2 wheels on
a bike. How many
bikes are there if I
count 14 wheels?
18 ÷ 3 = ___
2.
Write a division sentence
for this array:
XXXX
XXXX
XXXX
11.
21 ÷ 7 = _____
9.
If I count 40 toes at
my table, and each
person has 10 toes,
how many people sit
at my table?
7.
32 ÷ 8 = _____
12.
I have 40 markers to
put away evenly in
5 boxes. How many
markers should go
into each box?
10.
My goal is to read 30
books in the next 6
months. How many
books do I need to
read each month to
reach my goal?
8.
18.
17.
45 ÷ 9 = _____
There are 32 students
sitting in equal groups
at 8 tables. How many
students are there at
each table?
There are 27 cookies for
9 children at the party.
If each child gets the
same number, how
many cookies will each
child getl?
There are 99 seats in
the theater. If the seats
are arranged in equal
rows and each row has
11 seats, how many
rows does the theater
have?
16.
Marco ran 50 miles in
running club over the
past 5 months. How
many miles did he
run each month?
14.
15.
56 ÷ 7 = _____
13.
24.
23.
80 ÷ 8 = _____
I have 72 flowers for my
garden. I want to plant
them in 9 equal rows.
How many flowers
should I plant in each
row?
Marley took care of his
neighbor’s cats for a
week and earned $35 in
all. How much money
did he earn each day?
Six friends are sharing a
box of crackers. If there
are 54 crackers in all
and they share them
equally, how many will
each friend get?
22.
There are 42 cans of
soda in 6 even rows
in the vending
machine. How many
cans of soda are in
each row?
20.
21,
Write a division sentence
for this array:
XXXXX
XXXXX
XXXXX
XXXXX
19.
Name: ________________________________
Division Task Cards - Recording Sheet
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
J. Armstrong 2013
Division Task Cards - Recording Sheet (page 2)
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
J. Armstrong 2013
Division Task Cards – ANSWER KEY
1.
5
9.
13.
17.
21.
7
3
3
8
9 rows
$5 per day
2.
6.
10.
14.
18.
22.
6
7
8 markers
10 miles
5
8 flowers
per row
3.
7.
11.
15.
19.
23.
4
4 people
12 ÷ 3 = 4
or 12÷ 4 = 3
3 cookies
20÷4=5
Or 20÷5=4
9 crackers
4.
8.
12.
16.
20.
24.
7 bikes
5 books
4
4 students
7 cans
10
J. Armstrong 2013
Thank you for purchasing this product!!
Fonts:
Graphics/Borders/Backgrounds:
Credits: