Date post: | 25-May-2015 |
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MULTIPLICATION (+)/DIVISION (-) OF SIGNED NUMBERS
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
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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
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+ / - 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
+ / - 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
+ / - 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
+ / - 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
+ / - SIGNED NUMBERS (REVIEW)
• ABSOLUTE VALUE; NO CALCULATOR
• - |10| =
• |-4| =
• |12| =
• - |-9| =
• |10| =
• |-6| =
• |-1| =
• - |1| = 8
+ / - SIGNED NUMBERS (REVIEW)
• ABSOLUTE VALUE; NO CALCULATOR
• - |10| = -10
• |-4| = 4
• |12| = 12
• - |-9| = -9
• |10| = 10
• |-6| = 6
• |-1| = 1
• - |1| = -1 9
+ / - SIGNED NUMBERS (REVIEW)
• ABSOLUTE VALUE; NO CALCULATOR
• |10 - 2| =
• |-4 + -4| =
• |12 + 4| =
• - |-9 + 8| =
• |10 - 9| =
• |-6 + -6| =
• |-1 + -1| =
• - |1 + 1| = 10
+ / - 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
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
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CAREER OPPORTUNITIES• SPORTS• STATISTICS, SALARY, TICKET SALES,
CONTRACTS, CONCESSIONS, ETC.
• FINANCE• ACCOUNTING, BANKING, BUDGETS, ETC.
• WEATHER• TEMPERATURE, BARAMETRIC PRESSURE,
PRECIPITATION, SEVERE WEATHER EVENTS, ETC.
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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
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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)
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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)
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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)
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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)
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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)
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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) =
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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
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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) =
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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
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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?
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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
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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
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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
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WEBSITES AND VIDEOShttp://money.howstuffworks.com/personal-finance/math-tutoring/equations/multiply-signed-number-equation.htm
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WEBSITES AND VIDEOShttp://money.howstuffworks.com/personal-finance/math-tutoring/
equations/multiply-signed-number-equation.htm
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WEBSITES AND VIDEOShttp://money.howstuffworks.com/personal-finance/math-tutoring/
equations/multiply-signed-number-equation.htm
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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
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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 = _______________
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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
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ASSIGNMENT• QUICK ASSESSMENT
• ESSENTIAL QUESTIONS
• CHECKBOOK BALANCE
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