Copyright©amberpasillas2010. Multiplication - is repeated addition! “Three times four” or “Three groups of four” ++= + 4 + 44 = 12 square units 3(4)3(4)

copyright©amberpasillas2010


Multiplication- is repeated addition!“Three times four”

or“Three groups of four”+ + =+4 +4 4= 12 square units3(4)=

Multiplication Repeated Addition


TEACHER NOTE: I found this activity very useful for students to help them with understanding multiplication.

This lesson goes with the MULTIPLYING INTERGERS WS INTERACTIVE. Make one copy of the worksheet per student. Have them do the problems with you as you model it in the slideshow.


You are going to get a handout (blue) called Multiply Integers Study Guide.

You may use this as a study guide. Take out something to write with. Watch this slide show and follow along. I will have you do problems on your handout

that go with problems on this slideshow.Do not work ahead.I do not want you making any mistakes.


THE 1st NUMBER TELLS YOU:HOW MANY GROUPS YOU HAVEIf the 1st number is positive you are adding groups

If the 2nd number is positive your numbers in each group are positive.

If the 1st number is negative you are taking away groups. If you take away something you need a zero bank.

THE 2nd NUMBER TELLS YOU: HOW MANY NUMBERS ARE IN EACH GROUPIf the 2nd number is negative your numbers in each group are negative.


Example a)3(6) = Add 3 groups of positive 6

Example b)-6(5) = Take away 6 groups of positive 5.

Example c)-2(-6) = Take away 2 groups of negative 6.


Write out what each multiplication problem means.1) -5(2) = Take away 5 groups of +2.

You do NOT need to solve these!2) 3(-2) = Add 3 groups of -2.

3) -5(-4) = Take away 5 groups of -4.

4) -8(1) = Take away 8 groups of +1.


Write out what each multiplication problem means.5) -2(-4) = Take away 2 groups of -4.

6) 11(3) = Add 11 groups of +3.

7) 7(-3) = Add 7 groups of -3.

8) -8(6) = Take away 8 groups of +6.

Turn your paper over!


Draw a picture to solve each problem. If you are taking something away start with a zero bank. To show that you take it away, circle it and attach an arrow to it. Write the final value or answer.

1) -3(2) = Take away 3 groups of +2

+ + + + + + _ _ _ _ _ _ = -6

Start with 6 zeros first!



2) 5(-3) = Add 5 groups of -3

_ _ _ _ _ _

= -15

_ _ _ _ _ _ _ _ _



3) -2(-4) = Take away 2 groups of -4

+ + + + + + + + _ _ _ _ _ _ _ _ = +8




4) 1(-4) = Add 1 group of -4

_ _ _ _= -4




+ + + + + + + + _ _ _ _ _ _ _ _ = -8




Try # 6 & 7 on your own!



6) -1(3) = Take away 1 group of +3

+ + + _ _ _ = -3





+ + + + + + + + + + + + _ _ _ _ _ _ _ _ _ _ _ _= -12



After doing these problems, try to write you own set of rules that describes how to multiply INTEGERS without using a model. Look at the examples on your paper to see a pattern.

8) A positive times a positive is a POSITIVE 2(6) = 12

9) A negative times a negative is a POSITIVE -2(-4) = 8

10)A negative times a positive is a NEGATIVE -1(3) = -3

11)A positive times a negative is a NEGATIVE 1(-4) = -4


After doing these problems, try to write you own set of rules that describes how to multiply INTEGERS without using a model. Look at the examples on your paper to see a pattern.

12) When the signs are the same and you multiply the answer is POSITIVE 3(4) = +12 -3(-4)= +12

13) When the signs are the different & you multiply the answer is NEGATIVE -3(4) = -12 3(-4)= -12


Signs are the same

Signs are different

Simplify.1) 3 4

2) 5 6

3) 7(9)

4) 5( 9)

5) 3 6

6) 4( 8)

12

30

63

45

18

32

POSITIVE

NEGATIVE


Aren’t integersinteresting?

TAKE OUT YOUR STUDY GUIDE


MULTIPLY INTEGERS

Signs are the same

Signs are different

Simplify.1) 2 3

2) 4 8

3) 6(4)

4) 7( 8)

5) 2 5

6) 3( 10)

6

32

24

56

10

30

#12POSITIVE

NEGATIVE

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Copyright©amberpasillas2010. Multiplication - is repeated addition! “Three times four” or “Three groups of four” ++= + 4 + 44 = 12 square units 3(4)3(4)