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Multiplication - is repeated addition! “Three times four” or “Three groups of four” ++= = 12 square units 3(4)3(4) =
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.
THE 1 st NUMBER TELLS YOU: HOW MANY GROUPS YOU HAVE If the 1st number is positive you are adding groups If the 2 nd 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 2 nd NUMBER TELLS YOU: HOW MANY NUMBERS ARE IN EACH GROUP If the 2 nd 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 _ _ _ = -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 _ _ _ _ _ _ _ _ = +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 _ _ _ _ _ _ _ _ = -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 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 _ _ _ _ _ _ _ _ _ _ _ _ = -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) = (-4)= ) 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) 2) 3) 4) 5) 6) POSITIVE NEGATIVE
copyright©amberpasillas2010 Aren’t integers interesting? TAKE OUT YOUR STUDY GUIDE
copyright©amberpasillas2010 MULTIPLY INTEGERS Signs are the same Signs are different Simplify. 1) 2) 3) 4) 5) 6) #12 POSITIVE NEGATIVE