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copyright©amberpasillas2010 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.
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copyright©amberpasillas2010
copyright©amberpasillas2010
Multiplication- is repeated addition!“Three times four”
or“Three groups of four”+ + =+4 +4 4= 12 square units3(4)=
Multiplication Repeated Addition
copyright©amberpasillas2010
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.
copyright©amberpasillas2010
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.
copyright©amberpasillas2010
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.
copyright©amberpasillas2010
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.
copyright©amberpasillas2010
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.
copyright©amberpasillas2010
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!
copyright©amberpasillas2010
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!
copyright©amberpasillas2010
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.
2) 5(-3) = Add 5 groups of -3
_ _ _ _ _ _
= -15
_ _ _ _ _ _ _ _ _
copyright©amberpasillas2010
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.
3) -2(-4) = Take away 2 groups of -4
+ + + + + + + + _ _ _ _ _ _ _ _ = +8
Start with 8 zeros first!
copyright©amberpasillas2010
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.
4) 1(-4) = Add 1 group of -4
_ _ _ _= -4
copyright©amberpasillas2010
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.
5) -4(2) = Take away 4 groups of +2
+ + + + + + + + _ _ _ _ _ _ _ _ = -8
Start with 8 zeros first!
copyright©amberpasillas2010
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.
Try # 6 & 7 on your own!
copyright©amberpasillas2010
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.
6) -1(3) = Take away 1 group of +3
+ + + _ _ _ = -3
Start with 3 zeros first!
copyright©amberpasillas2010
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.
7) -3(4) = Take away 3 groups of +4
+ + + + + + + + + + + + _ _ _ _ _ _ _ _ _ _ _ _= -12
Start with 12 zeros first!
copyright©amberpasillas2010
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
copyright©amberpasillas2010
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
copyright©amberpasillas2010
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
copyright©amberpasillas2010
Aren’t integersinteresting?
TAKE OUT YOUR STUDY GUIDE
copyright©amberpasillas2010
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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