4, or - Math-U-See

1A
lesson practice
Quick Review
A multiplication problem may be written as 3 x 4, 3 · 4, or (3)(4).
Fill in the parentheses with the factors and write the product in the oval.
Then write the problem two ways beside the rectangle. The first one is done.
6 x 3 = 18
1.
( 3 ) 18
3 x 6 = 18
(6)
(
2.
) ____x____=____
If the figure is a square,
write the problem only
one time.
(
)
____∙____=____
(
3.
(
4.
)
(
(
DELTA Lesson Practice 1A
) ____∙____=____
) (
)(
) =____
(
)(
) =____
)
5
LESSON PRACTICe 1A
(
5.
(
)
(
6.
(
) ____x____=____
) (
)(
) =____
(
)(
) =____
)
Solve for the unknown. Write your answer above the letter.
6
7. 6X = 36
8. 2Y = 20
9. 4R = 28 10. 5W = 20
11. 7H = 21
12. 8B= 24
13. 7X = 49
14. 5G = 30
DELTA
1B
lesson practice
ill in the parentheses with the factors, and write the product in the oval.
F
Then write the problem beside the rectangle. (Remember that a square is a
special kind of rectangle.)
(
1.
(
) ____∙____=____
)
(
2.
) _____x_____=_____
_____x_____=_____
(
)
(
3.
(
) (
)(
) =_____
(
)(
) =_____
)
4.
(
) _____∙_____=_____
_____∙_____=_____
(
DELTA Lesson Practice 1B
)
7
LESSON PRACTICe 1B
5.
(
)_____x_____=_____
_____x_____=_____
(
)
(
6.
(
)
(
)(
) =_____
(
)(
) =_____
)
Solve for the unknown.
7. 3X = 3
8
8. 2Y = 4
9. 1R = 10
10. 8W = 16
11. 7H = 14
12. 5B = 30
13. 10X = 100
14. 5G = 45
DELTA
1C
lesson practice
ill in the parentheses with the factors, and write the product in the oval.
F
Then write the problem beside the rectangle.
(
1.
)
_____∙_____=_____
_____∙_____=_____
(
)
2.
(
)
_____x_____=_____
_____x_____=_____
(
)
(
3.
(
(
DELTA Lesson Practice 1C
)(
) =_____
(
)(
) =_____
)
(
4.
) (
)
_____∙_____=_____
)
9
LESSON PRACTICe 1C
5.
(
)
(
)
_____x_____=_____
_____x_____=_____
6.
(
(
)(
) =_____
(
)(
) =_____
)
(
)
Solve for the unknown.
10
7. 8X = 56
8. 9Y = 36
9. 6R = 24 10. 3W = 27
11. 5H = 45
12. 6B = 18
13. 10X = 90
14. 2G = 16
DELTA
1D
systematic review
Fill in the parentheses with the factors, and write the product in the oval.
Then write the problem beside the rectangle.
(
1.
(
)
(
)(
) =_____
(
)(
) =_____
)
_____x_____=_____
2.
(
(
) _____x_____=_____
)
Solve for the unknown.
3. 7A = 49
4. 10C = 80
5. 3F = 24
6. 4B = 36
DELTA systematic review 1D
11
Systematic review 1D
Quick Review
The product of two factors is also the area of the rectangle or square. These
problems are usually labeled with feet, inches, or some other unit of measure.
The product or area should be labeled square inches, square feet, etc.
5"
3 ft
Example 1 Example 2
4 ft
5"
Area = 3 x 4 = 12 sq ft Area = 5 x 5 = 25 sq in
(square feet)
(square inches)
Notice that 2 in and 2" both represent two inches, and 2 ft and 2' both stand
for two feet. The diagrams may not always be drawn to scale.
7.
8.
2'
4 ft
2'
2 ft
Area = _______sq ft Area = _______
9.
10.
9 in
4"
6"
3 in
Area = _______sq in Area = _______
12
DELTA
1E
systematic review
Fill in the parentheses with the factors, and write the product in the oval.
Then write the problem beside the rectangle.
1.
(
(
_____∙_____=_____
)
2.
(
(
)
)(
)(
) =____
(
)(
) =____
)
Solve for the unknown.
3. 9A = 81
4. 3C = 15
5. 7F = 42
6. 2B = 10
DELTA systematic review 1E
13
Systematic review 1E
Find the area.
7.
8.
4"
10 mi (miles)
8"
10 mi
Area = _______ Area = _______
9.
5'
4'
Area = _______
When solving for the unknown, you may use any letter you like. It is
helpful to use one that reminds you of the unknown number, like F for
flowers in #10.
10.Jenny had 20 flowers and four vases. How many flowers can
she put in each vase? (This is solving for the unknown. 4F = 20
flowers) ______
11.Julia owns 30 rabbits. If she can put three rabbits in a hutch,
how many hutches does she need? (solving for the unknown)
______
12.A table top is three feet long and two feet wide. What is the area
of the table top? ______
14
DELTA
1F
systematic review
Fill in the parentheses with the factors, and write the product in the oval.
Then write the problem beside the rectangle.
1.
(
)
_____x_____=_____
_____x_____=_____
(
)
(
2.
)_____∙_____=_____
_____∙_____=_____
(
)
Solve for the unknown.
3. 5A = 25
4. 7C = 56 5. 9F = 54
6. 3B = 18
DELTA systematic review 1F
15
Systematic review 1F
Find the area.
7.
8.
9.
6 ft
6 mi
8"
7 mi
6 ft
5"
Area = _______ Area = _______ Area = _______
10.Justina has $24 to spend on gifts for four friends. How much can
she spend on each person, if she spends the same amount on
each one? ______
11.A job will take 36 hours to complete. If nine people are available
to do the job, how many hours must each person work? ______
12.The new park is a rectangle six miles long and five miles wide.
What is the area of the park? ______
16
DELTA
2A
lesson practice
Answer the questions.
1. How many twos can you count out of eight? ______
2. How many ones can you count out of ten? ______
3. How many twos can you count out of fourteen? ______
4. How many twos can you count out of six? ______
5. How many ones can you count out of seven? ______
Divide.
6. 16 ÷ 2 = ______
7. 9 ÷ 1 = ______
8. 4 ÷ 2 = ______
9. 5 ÷ 1 = ______
10. 18 ÷ 2 = ______
DELTA Lesson Practice 2A
11. 8 ÷ 1 = ______
17
LESSON PRACTICe 2A
12. 12 ÷ 2 = ______
14. 4 ÷ 1 = ______
10
10
2
10
22
16. 22
2 = ______
2
62
2
16
6
11
1
1
18. 1
1
1 = ______
14
114
2
14
82
2
28
8
20. 2 = ______
2
13. 2 ÷ 1 = ______
10
15. 10
2 = ______
10
22
22
2
6
2
6
1 = ______
17. 6
11
11
1
14
1
14
2
14
19. 82 = ______
8
22
8
2
2
21.Sixteen eyes stared at the teacher. How many people were
looking at her? ______
22.There are 10 cookies and 2 children. How many cookies may
each child have? ______
18
DELTA
2B
lesson practice
Answer the questions.
1. How many twos can you count out of ten? ______
2. How many twos can you count out of sixteen? ______
3. How many ones can you count out of one? ______
4. How many ones can you count out of five? ______
5. How many twos can you count out of twelve? ______
Divide.
6. 10 ÷ 2 = ______
7. 16 ÷ 2 = ______
8. 14 ÷ 2 = ______
9. 2 ÷ 2 = ______
10. 2 ÷ 1 = ______
DELTA Lesson Practice 2B
11. 18 ÷ 2 = ______
19
LESSON PRACTICe 2B
12. 9 ÷ 1 = ______
14. 6 ÷ 1 = ______
4
14
4
1
16. 8
= ______
1
18
8
41
14
2
42
7
2
17 = ______
18. 7
61
16
2
6
2
14
214
2
14
20. 2 = ______
2
13. 8 ÷ 2 = ______
4
15. 4 = ______
1
14
8
8
11
18
4
41
17. 24 = ______
2
7
7
12
17
6
6
21
26 = ______
19. 14
2
14
2
14
2
2
21.There are eight donuts. If each person is to get one donut, how many
people can be served? ______
22.If it is decided to give each person two donuts, how many may be
served with eight donuts? ______
20
DELTA
2C
lesson practice
Answer the questions.
1. How many ones can you count out of nine? ______
2. How many twos can you count out of eighteen? ______
3. How many ones can you count out of four? ______
4. How many twos can you count out of twenty? ______
5. How many twos can you count out of four? ______
Divide.
6. 2 ÷ 2 = ______
7. 8 ÷ 2 = ______
8. 6 ÷ 2 = ______
9. 4 ÷ 2 = ______
10. 6 ÷ 1 = ______ 11. 12 ÷ 2 = ______
DELTA Lesson Practice 2C
21
LESSON PRACTICe 2C
12. 10 ÷ 1 = ______
14. 7 ÷ 1 = ______
14
14
14
2
2
2
1
16. 1
= ______
1
1
1
1
18
18
18
2
2
2
9
9
18. 9
1
1 = ______
1
20
20
20
2
2
2
10
10
10
2
20. 2
2 = ______
13. 16 ÷ 2 = ______
14
15. 14
14
2 = ______
12
2
1
1
1
18
1
18
2 = ______
17. 18
92
2
9
9
1
1
20
1
20
20
2
2 = ______
19. 10
2
10
10
2
2
2
21.Twelve ears listened carefully to the speaker. How many people
were listening? ______
22.There are six chairs in the room. If only one person sits in each
chair, how many people can be seated? ______
22
DELTA
2D
systematic review
Divide.
1. 4 ÷ 2 = ______
2. 8 ÷ 1 = ______
3. 4 ÷ 1 = ______
4. 18 ÷ 2 = ______
5. 2 ÷ 2 = ______ 6. 2 ÷ 1 = ______
14
= ______
2
16
2
5
Quick
1 Review
7.
14
2
16
8.
= ______
2
5
1
14
2
16
2
5
9.
= ______
1
There are several ways to write a multiplication problem. Study the
following examples. In this lesson, we will be reviewing the five and ten
times tables.
5 ∙ 4 = 20 (5)(4) = 20
5 x 4 = 20
Example
4
x 5
20
Multiply.
10.
5
x 6 11.
12. 10 x 6 =_____ 13. (5)(7) =_____
DELTA systematic review 2D
10
x 9
23
Systematic review 2D
Solve for the unknown.
14. 5X = 35 15. 5R = 45
16. 10B = 10
17. 10Y = 40
Find the area. Label your answers correctly.
18.
19.
3 mi
5'
5'
20.
10"
5 mi
3"
A = _______ A = _______ A = _______
21. How many twos can you count out of eighteen? ______
22.Sally has 18 pennies. If she divides them into piles of two pennies
each, how many piles will she have? ______
24
DELTA
2E
systematic review
Divide.
1. 6 ÷ 1 = _____
2. 8 ÷ 2 = _____
3. 9 ÷ 1 = _____
4. 18 ÷ 2 = _____
5. 2 ÷ 2 =_____ 6. 2 ÷ 1 = _____
12
1
1
10
10
2
12
9. 1
1 = ______
1
7. 12 = ______
12
1
10
8.
= ______
2
1
1
Solve for the unknown.
10. 5X = 5
11. 8R = 80
12. 7B = 35
13. 3Y = 30
DELTA systematic review 2E
25
Systematic review 2E
Multiply.
14.
8
15. 1 0
x 5 x 7
17. 10 ∙ 10 =_____
16. 2 x 10 =_____ Find the area. Label your answer correctly.
2' 18.
2'
19.
10 mi 5" 20.
5 mi
3"
A = ______ A = ______ A = ______
21. How many ones can you count out of eight? ______
22.Two birds can live together in a cage. If there are 20 birds,
how many cages are needed? ______
26
DELTA
2F
systematic review
Divide.
1. 5 ÷ 1 = _____
2. 16 ÷ 2 = _____
3. 4 ÷ 2 = _____
4. 8 ÷ 1 = _____
5. 14 ÷ 2 = _____
6. 12 ÷ 2 = _____
18
7. 18
2 = ______
2
10
10
2
2
20
20
9. 2
2 = ______
18
2
10
8. 2 = ______
20
2
Solve for the unknown.
10. 5X = 20
11. 5R = 50 12. 9B = 90
13. 5Y = 40
DELTA systematic review 2F
27
Systematic review 2F
Multiply.
14. 9
15. 1 0
x 5 x 4
16. 2 ∙ 5 =_____
17. (10)(8) =_____
Find the area. Label your answer correctly.
18.
19.
20.
1 mi
10"
6'
1 mi
10"
5'
A = ______ A = ______ A = ______
21. How many twos can you count out of two? _____
22.Jill has 14 stickers. If she divides them between two friends,
how many stickers will each friend receive? _____
28
DELTA
DELTA
29
5 ÷ 1
6 ÷ 1
7 ÷ 1
8 ÷ 1
9 ÷ 1
16 ÷ 2
14 ÷ 2
12 ÷ 2
10 ÷ 2
8 ÷ 2
24 ÷ 3
21 ÷ 3
18 ÷ 3
15 ÷ 3
12 ÷ 3
9 ÷ 3
30 ÷ 3
4 ÷ 1
6 ÷ 2
6 ÷ 3
10 ÷ 1 20 ÷ 2
3 ÷ 1
4 ÷ 2
3 ÷ 3
27 ÷ 3
2 ÷ 1
2 ÷ 2
18 ÷ 2
1 ÷ 1
40 ÷ 4
36 ÷ 4
32 ÷ 4
28 ÷ 4
24 ÷ 4
20 ÷ 4
16 ÷ 4
12 ÷ 4
8 ÷ 4
4 ÷ 4
60 ÷ 6
54 ÷ 6
48 ÷ 6
42 ÷ 6
36 ÷ 6
30 ÷ 6
24 ÷ 6
18 ÷ 6
12 ÷ 6
6 ÷ 6
Division Fact Sheet
50 ÷ 5
45 ÷ 5
40 ÷ 5
35 ÷ 5
30 ÷ 5
25 ÷ 5
20 ÷ 5
15 ÷ 5
10 ÷ 5
5 ÷ 5
70 ÷ 7
63 ÷ 7
56 ÷ 7
49 ÷ 7
42 ÷ 7
35 ÷ 7
28 ÷ 7
21 ÷ 7
14 ÷ 7
7 ÷ 7
80 ÷ 8
72 ÷ 8
64 ÷ 8
56 ÷ 8
48 ÷ 8
40 ÷ 8
32 ÷ 8
24 ÷ 8
16 ÷ 8
8 ÷ 8
90 ÷ 9
81 ÷ 9
72 ÷ 9
63 ÷ 9
54 ÷ 9
45 ÷ 9
36 ÷ 9
27 ÷ 9
18 ÷ 9
9 ÷ 9
100 ÷ 10
90 ÷ 10
80 ÷ 10
70 ÷ 10
60 ÷ 10
50 ÷ 10
40 ÷ 10
30 ÷ 10
20 ÷ 10
10 ÷ 10
30
DELTA
3A
lesson practice
Answer the questions.
1. How many tens can you count out of eighty? ______
2. How many tens can you count out of one hundred? ______
3. How many tens can you count out of sixty? ______
4. How many tens can you count out of ten? ______
Divide.
5. 1 0 5 0 6. 1 0 1 0 0
7. 1 0 3 0 8. 1 0 9 0
9. 1 0 2 0 10. 1 0 4 0
DELTA Lesson Practice 3A
31
LESSON PRACTICe 3A
11. 10 ÷ 10 = ______
12. 70 ÷ 10 = ______
13. 50 ÷ 10 = ______
14.
30
10
90
15. 10 = ______ 60
10
60
16. 10 = ______
30
= ______
10
90
30
10
10
60
90
10
10
17.If 10 players are needed for each team, how many teams can be
made with 80 players? ______
18. How many $10 books can Mrs. Beane buy with $40? ______
32
DELTA
3B
lesson practice
Answer the questions.
1. How many tens can you count out of twenty? ______
2. How many tens can you count out of forty? ______
3. How many tens can you count out of ninety? ______
4. How many tens can you count out of thirty? ______
Divide.
5. 1 0 6 0 6. 1 0 9 0
7. 1 0 5 0 8. 1 0 3 0
9. 1 0 7 0 10. 1 0 1 0
DELTA Lesson Practice 3B
33
LESSON PRACTICe 3B
11. 40 ÷ 10 = ______ 13. 90 ÷ 10 = ______
100
10
50
15. 10 = ______
10
10
12. 20 ÷ 10 = ______
100
= ______
10
50
100
10
10
10
50
10
10
10
16.
= ______
10
14.
17.Seventy jelly beans are divided so that each person gets the same
amount. If there are 10 people, how many jelly beans does each one
receive? ______
18.Shawn can draw 10 pictures on one sheet of paper. How many sheets
does he need to draw 30 pictures? ______
34
DELTA
3C
lesson practice
Answer the questions.
1. How many tens can you count out of fifty? ______
2. How many tens can you count out of seventy? ______
3. How many tens can you count out of one hundred? ______
4. How many tens can you count out of sixty? ______
Divide.
5. 1 0 9 0 6. 1 0 4 0
7. 1 0 1 0 0 8. 1 0 5 0
9. 1 0 8 0 DELTA Lesson Practice 3C
10. 1 0 6 0
35
LESSON PRACTICe 3C
11. 20 ÷ 10 = _____
12. 30 ÷ 10 = _____
13. 10 ÷ 10 = _____
14. 70 = _____
10
40
70
10
10
30
40
10
10
70
10
40
15.
= _____
10
30
10
16.
30
= _____
10
17.Michael earns 10 dollars an hour. How many hours must he work
to earn $50? _____
18.Gabriel got out 100 pennies and divided them into 10 equal
piles. How many pennies were in each pile? _____
36
DELTA
3D
systematic review
Divide.
1. 1 0 1 0 2. 1 0 3 0
3. 1 0 6 0 4. 1 0 7 0
5. 1 5 6. 2 1 4
7. 1 0 1 0 0 8. 1 1 0
9. 18 ÷ 2 = _____ 50
11. 10 = _____
16
2
10. 8 ÷ 1 = _____
50
10
16
12.
= _____
2
Multiply. This lesson will review the three times table.
13.
9
14.
3
x 3 x 4
15. 3 x 7 = _____ DELTA systematic review 3D
16. 10 ∙ 3 = _____
37
Systematic review 3D
Quick Review
There are two pints in a quart. Look on your pantry shelf or in your
refrigerator if you are not sure how big a pint or a quart is.
Three feet equals one yard. Compare a foot ruler to a yardstick to check
for yourself.
Use this information to answer word problems like the following.
example
1 The store sells honey in cute pint jars. If Sally buys six
jars, how many quarts of honey does she have?
example
6 ÷ 2 = 3 quarts
2A path is nine yards long. How many feet long
is the path?
3 x 9 = 27 feet
17.Ian needs 12 pints of oil for his engine. How many quarts
of oil should he buy? ______
18.Jamie bought eight yards of rope for a project. How many feet
of rope does he have? ______
19.If a piece of paper is five inches wide and eight inches long,
what is its area? ______
20.Alisa bought 12 cans of soda for her two daughters’ lunches.
How many cans will each girl get? ______
38
DELTA
3E
systematic review
Divide.
1. 1 0 2 0 2. 1 0 4 0
3. 1 0 9 0 4. 1 0 8 0
5. 1 7 6. 2 2 0
7. 1 0 1 0 8. 1 6
9. 8 ÷ 2 = _____ 11.
6
= _____
2
14
2
DELTA systematic review 3E
10. 4 ÷ 1 = _____
6
2
14
12. 2 = _____
39
Systematic review 3E
Multiply.
13.
3
14.
5
x 3 x 3
15. (2)(3) = _____ 16. 6 x 3 = _____
17.There are 14 pint jars in my cupboard. How many quarts
of applesauce will they hold? ______
18.Sam’s living room is five yards long. How many feet long
is the room? ______
19.The city is planning to build an airport on a piece of land one
mile by two miles in size. How many square miles are available
for the airport? ______
20.Eighteen ears were listening to the story. How many people
were listening? ______
40
DELTA
3F
systematic review
Divide.
1. 1 0 7 0 2. 1 0 6 0
3. 1 0 5 0 4. 1 0 3 0
5. 1 9 6. 2 1 6
7. 2 4 8. 1 3
9. 10 ÷ 2 = _____ 11. 2 = _____
2
18
2
DELTA systematic review 3F
10. 12 ÷ 2 = _____
2
2
12. 18 = _____
2
41
Systematic review 3F
Multiply.
13.
4
14.
3
x 3 x 8
15. 7 ∙ 3 = _____ 16. 3 x 9 = _____
17.Sixteen pints of juice are available for the party. How many
quarts is that? ______
18.A room is six yards long and three yards wide. How many square
yards of carpet are needed to cover the floor? ______
19.How many feet long is the room in #18? ______
How many feet wide is it? ______
20.Dan has three packages of cookies with 10 cookies in each
package. How many cookies does he have? ______
If he divides the cookies evenly among 10 people, how many
cookies will each person receive? ______
42
DELTA
1
test
Fill in the parentheses with the factors, and write the product in the oval.
Then write the problem under the rectangle.
1.
2.
(
(
)
(
(
)
)
)
____ x ____ = ____ ____·____ = ____·____ = ____
Solve for the unknown.
3. 3X = 27 4. 8Y = 64
5. 4Q = 20
6. 6B = 6
7. 5D = 45 8. 6F = 24
9. 10R = 100
DELTA test 1
10. 2H = 14
3
test 1
Find the area.
11.
12.
13.
7 mi
5 ft
10"
9 mi
5 ft
8"
Area = ______ Area = ______
Area = ______
14.Dan earned $90. If he earns $9 an hour, how long had
he worked? ______
15.A room measures eight feet by nine feet. What is the area
of the room? ______
4
DELTA
2
test
Divide.
1. 8 ÷ 1 = ______
2. 18 ÷ 2 = ______
3. 6 ÷ 2 = ______
4. 4 ÷ 1 = ______
5. 10 ÷ 2 = ______ 6. 8 ÷ 2 = ______
7.
2
= ______
2
8.
7 = ______
1
9. 4 = ______
2 Solve for the unknown.
10. 5X = 15 11. 5R = 25
12. 2B = 20
13. 10Y = 60
DELTA test 2
5
test 2
Multiply.
14.
8
× 5
15. 1 0
× 7
16. 4 ∙ 5 =______ 17. (10)(3) =______
Find the area. Don’t forget to label your answer correctly.
18.
8" A = ____________
10"
19.Madison divided 12 gumdrops between herself and a friend.
How many gumdrops did her friend receive? ______
20.A pie is cut into eight pieces. If there are eight people around the
dinner table, how many pieces of pie can each one have? ______
6
DELTA
3
test
Divide.
1. 10 20 2. 10 80 3. 10 60 4. 10 90 5. 1 8 6. 2 14 7. 2 16 8. 1 5 9. 6 ÷ 2 = ______
11.
DELTA test 3
10
= ______
10 10. 10 ÷ 2 = ______
12.
4
= ______
2 7
test 3
Multiply.
13.
5
×3
15. 6 ∙ 3 =______
14.
3
×3
16. 3 x 4 =______
17.Ethan bought 10 quarts of oil for his car. How many pints did
he buy? ______
18.Bailey found the path to be eight yards long. How many feet long
is the path? ______
19.Caleb has $40 to spend on gifts. If he uses $10 for each gift,
how many gifts can he buy? ______
20.Meredith drew a rectangle that measured seven inches by nine
inches. What was the area of the rectangle? ______
8
DELTA