Student

Name:_______________

Math Teacher: _______________

HIP Manager: _______________

Module # 3 of 15

Multiplication & Division

3rd Grade

Students: Please return your completed module to your HIP teacher. Your HIP teacher will forward your completed module to your science or math teacher to make sure you receive credit for the work you have completed. Remember, your future is extremely important to us and we are here to help you! Get your next module and keep going you will be SUCCESSFUL!!!

Dr. Dragonoskys Math Lab presents

multiplication and division

THIRD GRADE

multiplicationthe process of finding the number or quantity (product)

obtained by repeated additions of a specified number or quantity (multiplicand) a specified number of times

(multiplier): symbolized in various ways (Ex.: 34=12 or 34=12, which means 3+3+3+3=12, to add the number three

together four times)

23

6

multiplicand

product

multiplier

Keywords for multiplication

each

a

every

per

Multiplication (base-ten block)

How do we

multiply?

25 X 3 =75

25

25

25

+

+

5 ones

10 ones equal 1 tens.

This makes it 7 tens

7 tens

Multiplication (digit form)

25

3X

Step 1: Solve the ones

place first. (5 X 3 = 15)

Step 2: Place the ones

place with the ones and

the tens place with the

tens. (5 stays down and 1

groups with the tens

place)

Step 3. Solve the tens

place times 3. (2 X 3 = 6).

Step 4. Add the carry-

over of 1. (6 + 1 = 7)

Step 5: Write 7 as your

tens place.75

1 = 76 +

5 X 3 = 152 X 3 = 6

Multiplication (you try)

32

8X

Step 1: Solve the ones

place first.

Step 2: Place the ones

place with the ones and

the tens place with the

tens.

Step 3. Solve the tens

place times 8.

Step 4. Add the carry-

over of 1.

Step 5: Write the answer

on the bottom.

When do you multiply?

You multiply when you want to put

together groups with the same

amount.

3 3 3 3+ + +

4 X 3 = 12

multiplicationrepeated addition

1 2 3 4

5 6 7 8

There are 2 groups of

4. Therefore, we can

express this as:

2 X 4 = 8 because

4 + 4 = 8 total

If Amy had 3 cats and each one had 4

legs, how could we find how many

legs all the cats had?

=4 legs

=4 legs

=4 legs

=12 legs

+

4 legs

X 3 cats

12 legs

in all

If a crayon box holds 7 crayons,

how many crayons would 2 boxes

hold?

2 boxes

7 crayons

14 crayons

X

multiplicationarray

5

hotdogs

in each

column

3 columns. That is 3 sets of 5. I can add 5 + 5 + 5

OR I could say 3 X 5.

Multiplication factsSKIP COUNTING

Zero pattern 0 times any number is 0

0 X 0 = 0

0 X 1 = 0

0 X 2 = 0

0 X 3 = 0

0 X 4 = 0

0 X 5 = 0

0 X 6 = 0

0 X 7 = 0

0 X 8 = 0

0 X 9 = 0

Ones Pattern1 times any number is the same number

1 x 3 = 3

1 x 7 = 7

1 x 4 = 4

1 x 1 = 1

1 x 2 = 2

1 x 9 = 9

COUNT

BY 2S2

4

6

8

10

12

14

16

18

20

COUNT

BY 3S3

6

9

12

15

18

21

24

27

30

COUNT

BY 3S4

8

12

16

20

24

28

32

36

40

COUNT

BY 5S5

10

15

20

25

30

35

40

45

50

COUNT

BY 6S6

12

18

24

30

36

42

48

54

60

COUNT

BY 7S7

14

21

28

35

42

49

56

63

70

COUNT

BY 8S8

16

24

32

40

48

56

64

72

80

COUNT

BY 9S9

18

27

36

45

54

63

72

81

90

COUNT

BY 10S10

20

30

40

50

60

70

80

90

100

COUNT

BY 11S11

22

33

44

55

66

77

88

99

110

Lets practice

Dont forget to count how

many rows

are there AND

how many

checkers are

there in EACH

row?

Do you need the

information about

the number of

bedrooms?

Always answer

what is being

asked.

It will help if you

draw the number

of girls and the

number of boys

first. Then, write

down how many

books each person

have.

Remember count how many

groups there are.

Then, count how

many are there in

each group.

Now you will create a creature of your own!!!

Multiplication involves sets

of objects. Can you write a

multiplication problem for

these sets?

I think

you can

do it!

5 sets of 2 each

5 X 2 =10

3 sets of 4 each

3 X 4 = 12

3 sets of 3 each

3 X 3 = 9

4 sets of

2 each

4 X 2 = 8

6 sets of 3 each

3 X 6 = 18

5 sets of 4 each

5 X 4 = 20

Congratulations!!!Job Well Done, and we will see you again soon

in

Dr. Dragonoskys

Mad math Lab!!

division

splitting into parts: the act of separating or splitting something into parts, or an instance of this

sharing of something: the separation of something into parts to be shared among people or groups

an operation used to calculate the number of times one number is contained in another

Repeated subtraction.

10 dividend5divisor2 quotient

Keywords for multiplication

each

a

every

per

When we divide,

we always start

with the number

with the greatest

place value.

Make sure each

set gets the same

amount

Dividing using base-ten block step 1

Dividing using base-ten blockstep 2

Therefore, each

set gets 1

hundred block.

Thats how we got the number 5

on top of our

division equation.

Dividing using base-ten blockstep 3

Now, we need to

divide our tens

block equally into

5 sets. That is

not enough! We

will need to move

our tens block

with the ones

block. Now we

have 25 ones

and zero tens.

Dividing using base-ten blockstep 4

If we divided our

25 ones into 5

equal sets, we

will then end up

with 5 ones in

each set. Thats how we got the 5

on the ones

place.

When do you divide?

You divide when you want to know

how much each group should get.

Split it up into 2 equal parts

12 2 = 6

There will be 6 in each group.

division

12 3 = 4 There will be 4

boys in each building.

6 apples split

into 2 equal

groups gives

us 3 apples

per basket.

6 2 = 3

Lets practice

Looks like they

want you to

split these

pictures into 3

posters. Make

sure there are

equal numbers

in each poster.

Are they asking you to

split the apples into 2

groups OR combine the

apples? It is already

together so you can only split them up.

Read the question

carefully. We need to

find out how much

feathers Bill should put

in each box.

Remember, Lance

has 7 friends. He

want to share 42

peanuts. Use the

drawing provided

to solve for the

answer.

Now you will create a creature of your own!!!

Create Your Own Write your own division word problems.

Use pictures to make it more clear.

Play division bingo (ask teacher for the game board).

Use Unifix cube (ask the teacher) and explore division facts.

Congratulations!!!Job Well Done, and we will see you again soon

in

Dr. Dragonoskys

Mad math Lab!!