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Math Powerpoint Lesson 3 2 (1)

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MULTIPLICATION (+)/DIVISION (-) OF SIGNED NUMBERS
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Page 1: Math Powerpoint Lesson 3 2 (1)

MULTIPLICATION (+)/DIVISION (-) OF SIGNED NUMBERS

Page 2: Math Powerpoint Lesson 3 2 (1)

FIVE MINUTE WARM UP• ADD; NO CALCULATOR; USE CHOICES ON RIGHT

• 4 + 4 + 4 = 12

• -5 – 5 – (5) = -12

• 5 + 5 + 5 = -4

• -4 + (-4) – 4 = 5

• -4 + (-4) + 4 = 15

• 5 – 5 + 5 = -15

2

Page 3: Math Powerpoint Lesson 3 2 (1)

FIVE MINUTE WARM UP• ADD; NO CALCULATOR; USE CHOICES ON RIGHT

• 4 + 4 + 4 = 12

• -5 – 5 – (5) = -15

• 5 + 5 + 5 = 15

• -4 + (-4) – 4 = -12

• -4 + (-4) + 4 = -4

• 5 – 5 + 5 = 5

3

Page 4: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ADD OR SUBTRACT; NO CALCULATOR

• 7 + 7 =

• -7 – 7 =

• 10 – 2 =

• -10 + 2 =

• 5 – (-5) =

• -4 – (-2) =

• -1 + 1 =

• 9 – 9 = 4

Page 5: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ADD OR SUBTRACT; NO CALCULATOR

• 7 + 7 = 14

• -7 – 7 = -14

• 10 – 2 = 8

• -10 + 2 = -8

• 5 – (-5) = 10

• -4 – (-2) = -2

• -1 + 1 = 0

• 9 – 9 = 0 5

Page 6: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ADD OR SUBTRACT; NO CALCULATOR

• 7 + 3 =

• -7 – (-3) =

• 10 – (-2) =

• -11 + 2 =

• 5 + (5) =

• -4 – (+2) =

• -2 + 1 =

• 9 – 8 = 6

Page 7: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ADD OR SUBTRACT; NO CALCULATOR

• 7 + 3 = 10

• -7 – (-3) = -4

• 10 – (-2) = 12

• -11 + 2 = -9

• 5 + (5) =10

• -4 – (+2) = -6

• -2 + 1 = -1

• 9 – 8 = 1 7

Page 8: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ABSOLUTE VALUE; NO CALCULATOR

• - |10| =

• |-4| =

• |12| =

• - |-9| =

• |10| =

• |-6| =

• |-1| =

• - |1| = 8

Page 9: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ABSOLUTE VALUE; NO CALCULATOR

• - |10| = -10

• |-4| = 4

• |12| = 12

• - |-9| = -9

• |10| = 10

• |-6| = 6

• |-1| = 1

• - |1| = -1 9

Page 10: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ABSOLUTE VALUE; NO CALCULATOR

• |10 - 2| =

• |-4 + -4| =

• |12 + 4| =

• - |-9 + 8| =

• |10 - 9| =

• |-6 + -6| =

• |-1 + -1| =

• - |1 + 1| = 10

Page 11: Math Powerpoint Lesson 3 2 (1)

+ / - SIGNED NUMBERS (REVIEW)

• ABSOLUTE VALUE; NO CALCULATOR

• |10 - 2| = |8| = 8

• |-4 + -4| = |-8| = 8

• |12 + 4| = |16| = 16

• - |-9 + 8| = - |-1| = - |1| = -1

• |10 - 9| = |1| = 1

• |-6 + -6| = |-12| = 12

• |-1 + -1| = |-2| = 2

• - |1 + 1| = - |2| = -2 11

Page 12: Math Powerpoint Lesson 3 2 (1)

ESSENTIAL QUESTIONSHOW DOES/CAN A METEOROLOGIST USE POSITIVE/NEGATIVE NUMBERS WHEN FORECASTING/PREDICTING THE WEATHER?

DEFINE AND IDENTIFY/EXPLAIN EACH OF THE FOLLOWING:PRODUCT RULES FOR SIGNED NUMBERSQUOTIENT RULES FOR SIGNED NUMBERS

12

Page 13: Math Powerpoint Lesson 3 2 (1)

CAREER OPPORTUNITIES• SPORTS• STATISTICS, SALARY, TICKET SALES,

CONTRACTS, CONCESSIONS, ETC.

• FINANCE• ACCOUNTING, BANKING, BUDGETS, ETC.

• WEATHER• TEMPERATURE, BARAMETRIC PRESSURE,

PRECIPITATION, SEVERE WEATHER EVENTS, ETC.

13

Page 14: Math Powerpoint Lesson 3 2 (1)

VOCABULARY

PRODUCT RULES FOR SIGNED NUMBERS

QUOTIENT RULES FOR SIGNED NUMBERSPRODUCT: MULTIPLYQUOTIENT: DIVIDE

2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

14

Page 15: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

8 x 4 = 32 (both positive) -8 x (-4) = 32 (both negative) -8 x 4 = -32 (one of each) 8 x (-4) = -32 (one of each)

1 x 1 = 1 (both positive) -1 x (-1) = 1 (both positive) -1 x 1 = -1 (one of each sign) 1 x (-1) = -1 (one of each sign)

15

Page 16: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

10 / 5 = (both positive) -10 / (-5) = (both negative) -10 / 5 = (one of each) 10 / (-5) = (one of each)

3 / 1 = (both positive) -3 / (-1) = (both positive) -3 / 1 = (one of each sign) 3 / (-1) = (one of each sign)

16

Page 17: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

10 / 5 = 2 (both positive) -10 / (-5) = 2 (both negative) -10 / 5 = -2 (one of each) 10 / (-5) = -2 (one of each)

3 / 1 = 3 (both positive) -3 / (-1) = 3 (both positive) -3 / 1 = -3 (one of each sign) 3 / (-1) = -3 (one of each sign)

17

Page 18: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

20 / 5 = (both positive) -10 / (-2) = (both negative) -5 / 5 = (one of each) 10 / (-10) = (one of each)

4 / 1 = (both positive) -3 / (-3) = (both positive) -9 / 3 = (one of each sign) 12 / (-6) = (one of each sign)

18

Page 19: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

20 / 5 = 4 (both positive) -10 / (-2) = 5 (both negative) -5 / 5 = -1 (one of each) 10 / (-10) = -1 (one of each)

4 / 1 = 4 (both positive) -3 / (-3) = 1 (both positive) -9 / 3 = -3 (one of each sign) 12 / (-6) = -2 (one of each sign)

19

Page 20: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

25 / 5 = -10 / (2) = 5 / (-5) = 20 / (-10) =

16 / 2 = -10 / (1) = -9 / (-3) = 12 / (-3) =

20

Page 21: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

25 / 5 = 5 -10 / (2) = -5 5 / (-5) = -1 20 / (-10) = -2

16 / 2 = 8 -10 / (1) = -10 -9 / (-3) = 3 12 / (-3) = -4

21

Page 22: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

30 / 5 = -16 / (2) = 15 / (-5) = 30 / (-10) =

16 / 4 = -10 / (10) = -9 / (-9) = 12 / (-12) =

22

Page 23: Math Powerpoint Lesson 3 2 (1)

VOCABULARY 2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER 2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER

30 / 5 = 6 -16 / (2) = -8 15 / (-5) = -3 30 / (-10) = -3

16 / 4 = 4 -10 / (10) = -1 -9 / (-9) = 1 12 / (-12) = -1

23

Page 24: Math Powerpoint Lesson 3 2 (1)

EXAMPLE #1MR. REFI STARTED A DIET 6 WEEKS AGO.

HE LOST 3 POUNDS PER WEEK.

HE CURRENTLY WEIGHS 175 POUNDS.

HOW MUCH DID HE WEIGH 6 WEEKS AGO?

24

Page 25: Math Powerpoint Lesson 3 2 (1)

EXAMPLE #1MR. REFI STARTED A DIET 6 WEEKS AGO.

HE LOST 3 POUNDS PER WEEK.

HE CURRENTLY WEIGHS 175 POUNDS.

HOW MUCH DID HE WEIGH 6 WEEKS AGO?

• 6 WEEKS AGO = -6

• LOST 3 POUNDS = -3

• -3 x -6 = 18

• 175 lbs. + 18 lbs. = 193 pounds

25

Page 26: Math Powerpoint Lesson 3 2 (1)

EXAMPLE #2• THE PATRIOT NEWS IS REPORTING ON THE RECENT COLD STREAK IN THE MID-STATE. THE NEWS ITEM LISTS, IN DEGREES FAHRENHEIT, THE LOW TEMPERATURES FOR THE LAST 10 DAYS:• 7, -8, -6, 0, 0, -5, 2, -4, 0, -10

• FIND THE AVERAGE LOW TEMPERATURE FOR THIS 10-DAY PERIOD

26

Page 27: Math Powerpoint Lesson 3 2 (1)

EXAMPLE #2

• 7, -8, -6, 0, 0, -5, 2, -4, 0, -10

• FIND THE AVERAGE LOW TEMPERATURE FOR THIS 10-DAY PERIOD

• 7 + (-8) + (-6) + 0 + 0 + (-5) + 2 + (-4) + 0 + (-10)• -24• -24 / 10 = -2.4

27

Page 28: Math Powerpoint Lesson 3 2 (1)

WEBSITES AND VIDEOShttp://money.howstuffworks.com/personal-finance/math-tutoring/equations/multiply-signed-number-equation.htm

28

Page 29: Math Powerpoint Lesson 3 2 (1)

WEBSITES AND VIDEOShttp://money.howstuffworks.com/personal-finance/math-tutoring/

equations/multiply-signed-number-equation.htm

29

Page 30: Math Powerpoint Lesson 3 2 (1)

WEBSITES AND VIDEOShttp://money.howstuffworks.com/personal-finance/math-tutoring/

equations/multiply-signed-number-equation.htm

30

Page 31: Math Powerpoint Lesson 3 2 (1)

QUICK ASSESSMENT1. WHEN MULTIPLYING OR DIVIDING SIGNED NUMBERS ON A

NUMBER LINE, YOU ALWAYS BEGIN AT WHAT NEUTRAL NUMBER?

_______________

2. WHEN MULTIPLYING 2 NUMBERS WITH UNLIKE SIGNS, YOUR ANSWER IS ALWAYS NEGATIVE??

TRUE FALSE

3. WHEN DIVIDING 2 NEGATIVE NUMBERS, YOUR ANSWER IS ALWAYS NEGATIVE?

TRUE FALSE

31

Page 32: Math Powerpoint Lesson 3 2 (1)

QUICK ASSESSMENTANSWER THE FOLLOWING:

1. 1 x 1 = _______________

2. -2 x -2 = _______________

3. (-5) x 5 = _______________

4. -3 x -5 = _______________

5. 3 x (-6) = _______________

6. -1 x (-1) = _______________

7. 5 + 3 = _______________

32

Page 33: Math Powerpoint Lesson 3 2 (1)

ESSENTIAL QUESTIONSHOW DOES/CAN A METEOROLOGIST USE POSITIVE/NEGATIVE NUMBERS WHEN FORECASTING/PREDICTING THE WEATHER?

DEFINE AND IDENTIFY/EXPLAIN EACH OF THE FOLLOWING:PRODUCT RULES FOR SIGNED NUMBERSQUOTIENT RULES FOR SIGNED NUMBERS

33

Page 34: Math Powerpoint Lesson 3 2 (1)

ASSIGNMENT• QUICK ASSESSMENT

• ESSENTIAL QUESTIONS

• CHECKBOOK BALANCE

34


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