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Math Powerpoint Lesson 3 2 (1)

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Math Powerpoint Lesson 3 2 (1)

  1. 1. MULTIPLICATION (+)/DIVISION (-) OF SIGNED NUMBERS
  2. 2. FIVE MINUTE WARM UP <ul><li>ADD; NO CALCULATOR; USE CHOICES ON RIGHT </li></ul><ul><li>4 + 4 + 4 = 12 </li></ul><ul><li>-5 – 5 – (5) = -12 </li></ul><ul><li>5 + 5 + 5 = -4 </li></ul><ul><li>-4 + (-4) – 4 = 5 </li></ul><ul><li>-4 + (-4) + 4 = 15 </li></ul><ul><li>5 – 5 + 5 = -15 </li></ul>
  3. 3. FIVE MINUTE WARM UP <ul><li>ADD; NO CALCULATOR; USE CHOICES ON RIGHT </li></ul><ul><li>4 + 4 + 4 = 12 </li></ul><ul><li>-5 – 5 – (5) = -15 </li></ul><ul><li>5 + 5 + 5 = 15 </li></ul><ul><li>-4 + (-4) – 4 = -12 </li></ul><ul><li>-4 + (-4) + 4 = -4 </li></ul><ul><li>5 – 5 + 5 = 5 </li></ul>
  4. 4. + / - SIGNED NUMBERS (REVIEW) <ul><li>ADD OR SUBTRACT; NO CALCULATOR </li></ul><ul><li>7 + 7 = </li></ul><ul><li>-7 – 7 = </li></ul><ul><li>10 – 2 = </li></ul><ul><li>-10 + 2 = </li></ul><ul><li>5 – (-5) = </li></ul><ul><li>-4 – (-2) = </li></ul><ul><li>-1 + 1 = </li></ul><ul><li>9 – 9 = </li></ul>
  5. 5. + / - SIGNED NUMBERS (REVIEW) <ul><li>ADD OR SUBTRACT; NO CALCULATOR </li></ul><ul><li>7 + 7 = 14 </li></ul><ul><li>-7 – 7 = -14 </li></ul><ul><li>10 – 2 = 8 </li></ul><ul><li>-10 + 2 = -8 </li></ul><ul><li>5 – (-5) = 10 </li></ul><ul><li>-4 – (-2) = -2 </li></ul><ul><li>-1 + 1 = 0 </li></ul><ul><li>9 – 9 = 0 </li></ul>
  6. 6. + / - SIGNED NUMBERS (REVIEW) <ul><li>ADD OR SUBTRACT; NO CALCULATOR </li></ul><ul><li>7 + 3 = </li></ul><ul><li>-7 – (-3) = </li></ul><ul><li>10 – (-2) = </li></ul><ul><li>-11 + 2 = </li></ul><ul><li>5 + (5) = </li></ul><ul><li>-4 – (+2) = </li></ul><ul><li>-2 + 1 = </li></ul><ul><li>9 – 8 = </li></ul>
  7. 7. + / - SIGNED NUMBERS (REVIEW) <ul><li>ADD OR SUBTRACT; NO CALCULATOR </li></ul><ul><li>7 + 3 = 10 </li></ul><ul><li>-7 – (-3) = -4 </li></ul><ul><li>10 – (-2) = 12 </li></ul><ul><li>-11 + 2 = -9 </li></ul><ul><li>5 + (5) = 10 </li></ul><ul><li>-4 – (+2) = -6 </li></ul><ul><li>-2 + 1 = -1 </li></ul><ul><li>9 – 8 = 1 </li></ul>
  8. 8. + / - SIGNED NUMBERS (REVIEW) <ul><li>ABSOLUTE VALUE; NO CALCULATOR </li></ul><ul><li>- |10| = </li></ul><ul><li>|-4| = </li></ul><ul><li>|12| = </li></ul><ul><li>- |-9| = </li></ul><ul><li>|10| = </li></ul><ul><li>|-6| = </li></ul><ul><li>|-1| = </li></ul><ul><li>- |1| = </li></ul>
  9. 9. + / - SIGNED NUMBERS (REVIEW) <ul><li>ABSOLUTE VALUE; NO CALCULATOR </li></ul><ul><li>- |10| = -10 </li></ul><ul><li>|-4| = 4 </li></ul><ul><li>|12| = 12 </li></ul><ul><li>- |-9| = -9 </li></ul><ul><li>|10| = 10 </li></ul><ul><li>|-6| = 6 </li></ul><ul><li>|-1| = 1 </li></ul><ul><li>- |1| = -1 </li></ul>
  10. 10. + / - SIGNED NUMBERS (REVIEW) <ul><li>ABSOLUTE VALUE; NO CALCULATOR </li></ul><ul><li>|10 - 2| = </li></ul><ul><li>|-4 + -4| = </li></ul><ul><li>|12 + 4| = </li></ul><ul><li>- |-9 + 8| = </li></ul><ul><li>|10 - 9| = </li></ul><ul><li>|-6 + -6| = </li></ul><ul><li>|-1 + -1| = </li></ul><ul><li>- |1 + 1| = </li></ul>
  11. 11. + / - SIGNED NUMBERS (REVIEW) <ul><li>ABSOLUTE VALUE; NO CALCULATOR </li></ul><ul><li>|10 - 2| = |8| = 8 </li></ul><ul><li>|-4 + -4| = |-8| = 8 </li></ul><ul><li>|12 + 4| = |16| = 16 </li></ul><ul><li>- |-9 + 8| = - |-1| = - |1| = -1 </li></ul><ul><li>|10 - 9| = |1| = 1 </li></ul><ul><li>|-6 + -6| = |-12| = 12 </li></ul><ul><li>|-1 + -1| = |-2| = 2 </li></ul><ul><li>- |1 + 1| = - |2| = -2 </li></ul>
  12. 12. ESSENTIAL QUESTIONS <ul><li>HOW DOES/CAN A METEOROLOGIST USE POSITIVE/NEGATIVE NUMBERS WHEN FORECASTING/PREDICTING THE WEATHER? </li></ul><ul><li>DEFINE AND IDENTIFY/EXPLAIN EACH OF THE FOLLOWING: </li></ul><ul><ul><li>PRODUCT RULES FOR SIGNED NUMBERS </li></ul></ul><ul><ul><li>QUOTIENT RULES FOR SIGNED NUMBERS </li></ul></ul>
  13. 13. CAREER OPPORTUNITIES <ul><li>SPORTS </li></ul><ul><ul><li>STATISTICS, SALARY, TICKET SALES, CONTRACTS, CONCESSIONS, ETC. </li></ul></ul><ul><li>FINANCE </li></ul><ul><ul><li>ACCOUNTING, BANKING, BUDGETS, ETC. </li></ul></ul><ul><li>WEATHER </li></ul><ul><ul><li>TEMPERATURE, BARAMETRIC PRESSURE, PRECIPITATION, SEVERE WEATHER EVENTS, ETC. </li></ul></ul>
  14. 14. VOCABULARY <ul><li>PRODUCT RULES FOR SIGNED NUMBERS </li></ul><ul><li>QUOTIENT RULES FOR SIGNED NUMBERS </li></ul><ul><ul><li>PRODUCT : MULTIPLY </li></ul></ul><ul><ul><li>QUOTIENT : DIVIDE </li></ul></ul><ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul>
  15. 15. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>8 x 4 = 32 (both positive) </li></ul></ul><ul><ul><li>-8 x (-4) = 32 (both negative) </li></ul></ul><ul><ul><li>-8 x 4 = -32 (one of each) </li></ul></ul><ul><ul><li>8 x (-4) = -32 (one of each) </li></ul></ul><ul><ul><li>1 x 1 = 1 (both positive) </li></ul></ul><ul><ul><li>-1 x (-1) = 1 (both positive) </li></ul></ul><ul><ul><li>-1 x 1 = -1 (one of each sign) </li></ul></ul><ul><ul><li>1 x (-1) = -1 (one of each sign) </li></ul></ul>
  16. 16. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>10 / 5 = (both positive) </li></ul></ul><ul><ul><li>-10 / (-5) = (both negative) </li></ul></ul><ul><ul><li>-10 / 5 = (one of each) </li></ul></ul><ul><ul><li>10 / (-5) = (one of each) </li></ul></ul><ul><ul><li>3 / 1 = (both positive) </li></ul></ul><ul><ul><li>-3 / (-1) = (both positive) </li></ul></ul><ul><ul><li>-3 / 1 = (one of each sign) </li></ul></ul><ul><ul><li>3 / (-1) = (one of each sign) </li></ul></ul>
  17. 17. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>10 / 5 = 2 (both positive) </li></ul></ul><ul><ul><li>-10 / (-5) = 2 (both negative) </li></ul></ul><ul><ul><li>-10 / 5 = -2 (one of each) </li></ul></ul><ul><ul><li>10 / (-5) = -2 (one of each) </li></ul></ul><ul><ul><li>3 / 1 = 3 (both positive) </li></ul></ul><ul><ul><li>-3 / (-1) = 3 (both positive) </li></ul></ul><ul><ul><li>-3 / 1 = -3 (one of each sign) </li></ul></ul><ul><ul><li>3 / (-1) = -3 (one of each sign) </li></ul></ul>
  18. 18. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>20 / 5 = (both positive) </li></ul></ul><ul><ul><li>-10 / (-2) = (both negative) </li></ul></ul><ul><ul><li>-5 / 5 = (one of each) </li></ul></ul><ul><ul><li>10 / (-10) = (one of each) </li></ul></ul><ul><ul><li>4 / 1 = (both positive) </li></ul></ul><ul><ul><li>-3 / (-3) = (both positive) </li></ul></ul><ul><ul><li>-9 / 3 = (one of each sign) </li></ul></ul><ul><ul><li>12 / (-6) = (one of each sign) </li></ul></ul>
  19. 19. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>20 / 5 = 4 (both positive) </li></ul></ul><ul><ul><li>-10 / (-2) = 5 (both negative) </li></ul></ul><ul><ul><li>-5 / 5 = -1 (one of each) </li></ul></ul><ul><ul><li>10 / (-10) = -1 (one of each) </li></ul></ul><ul><ul><li>4 / 1 = 4 (both positive) </li></ul></ul><ul><ul><li>-3 / (-3) = 1 (both positive) </li></ul></ul><ul><ul><li>-9 / 3 = -3 (one of each sign) </li></ul></ul><ul><ul><li>12 / (-6) = -2 (one of each sign) </li></ul></ul>
  20. 20. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>25 / 5 = </li></ul></ul><ul><ul><li>-10 / (2) = </li></ul></ul><ul><ul><li>5 / (-5) = </li></ul></ul><ul><ul><li>20 / (-10) = </li></ul></ul><ul><ul><li>16 / 2 = </li></ul></ul><ul><ul><li>-10 / (1) = </li></ul></ul><ul><ul><li>-9 / (-3) = </li></ul></ul><ul><ul><li>12 / (-3) = </li></ul></ul>
  21. 21. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>25 / 5 = 5 </li></ul></ul><ul><ul><li>-10 / (2) = -5 </li></ul></ul><ul><ul><li>5 / (-5) = -1 </li></ul></ul><ul><ul><li>20 / (-10) = -2 </li></ul></ul><ul><ul><li>16 / 2 = 8 </li></ul></ul><ul><ul><li>-10 / (1) = -10 </li></ul></ul><ul><ul><li>-9 / (-3) = 3 </li></ul></ul><ul><ul><li>12 / (-3) = -4 </li></ul></ul>
  22. 22. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>30 / 5 = </li></ul></ul><ul><ul><li>-16 / (2) = </li></ul></ul><ul><ul><li>15 / (-5) = </li></ul></ul><ul><ul><li>30 / (-10) = </li></ul></ul><ul><ul><li>16 / 4 = </li></ul></ul><ul><ul><li>-10 / (10) = </li></ul></ul><ul><ul><li>-9 / (-9) = </li></ul></ul><ul><ul><li>12 / (-12) = </li></ul></ul>
  23. 23. VOCABULARY <ul><ul><li>2 NUMBERS WITH THE SAME SIGN: POSITIVE ANSWER </li></ul></ul><ul><ul><li>2 NUMBERS WITH DIFFERENT SIGNS: NEGATIVE ANSWER </li></ul></ul><ul><ul><li>30 / 5 = 6 </li></ul></ul><ul><ul><li>-16 / (2) = -8 </li></ul></ul><ul><ul><li>15 / (-5) = -3 </li></ul></ul><ul><ul><li>30 / (-10) = -3 </li></ul></ul><ul><ul><li>16 / 4 = 4 </li></ul></ul><ul><ul><li>-10 / (10) = -1 </li></ul></ul><ul><ul><li>-9 / (-9) = 1 </li></ul></ul><ul><ul><li>12 / (-12) = -1 </li></ul></ul>
  24. 24. EXAMPLE #1 <ul><ul><li>MR. REFI STARTED A DIET 6 WEEKS AGO. </li></ul></ul><ul><ul><li>HE LOST 3 POUNDS PER WEEK. </li></ul></ul><ul><ul><li>HE CURRENTLY WEIGHS 175 POUNDS. </li></ul></ul><ul><ul><li>HOW MUCH DID HE WEIGH 6 WEEKS AGO? </li></ul></ul>
  25. 25. EXAMPLE #1 <ul><ul><li>MR. REFI STARTED A DIET 6 WEEKS AGO. </li></ul></ul><ul><ul><li>HE LOST 3 POUNDS PER WEEK. </li></ul></ul><ul><ul><li>HE CURRENTLY WEIGHS 175 POUNDS. </li></ul></ul><ul><ul><li>HOW MUCH DID HE WEIGH 6 WEEKS AGO? </li></ul></ul><ul><ul><li>6 WEEKS AGO = -6 </li></ul></ul><ul><ul><li>LOST 3 POUNDS = -3 </li></ul></ul><ul><ul><li>-3 x -6 = 18 </li></ul></ul><ul><ul><li>175 lbs. + 18 lbs. = 193 pounds </li></ul></ul>
  26. 26. EXAMPLE #2 <ul><li>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: </li></ul><ul><ul><li>7, -8, -6, 0, 0, -5, 2, -4, 0, -10 </li></ul></ul><ul><ul><li>FIND THE AVERAGE LOW TEMPERATURE FOR THIS 10-DAY PERIOD </li></ul></ul>
  27. 27. EXAMPLE #2 <ul><ul><li>7, -8, -6, 0, 0, -5, 2, -4, 0, -10 </li></ul></ul><ul><ul><li>FIND THE AVERAGE LOW TEMPERATURE FOR THIS 10-DAY PERIOD </li></ul></ul><ul><ul><li>7 + (-8) + (-6) + 0 + 0 + (-5) + 2 + (-4) + 0 + (-10) </li></ul></ul><ul><ul><ul><li>-24 </li></ul></ul></ul><ul><ul><ul><li>-24 / 10 = -2.4 </li></ul></ul></ul>
  28. 28. WEBSITES AND VIDEOS <ul><li>http://money.howstuffworks.com/personal-finance/math-tutoring/equations/multiply-signed-number-equation.htm </li></ul>
  29. 29. WEBSITES AND VIDEOS <ul><li>http://money.howstuffworks.com/personal-finance/math-tutoring/equations/multiply-signed-number-equation.htm </li></ul>
  30. 30. WEBSITES AND VIDEOS <ul><li>http://money.howstuffworks.com/personal-finance/math-tutoring/equations/multiply-signed-number-equation.htm </li></ul>
  31. 31. QUICK ASSESSMENT <ul><li>1. WHEN MULTIPLYING OR DIVIDING SIGNED NUMBERS ON A NUMBER LINE, YOU ALWAYS BEGIN AT WHAT NEUTRAL NUMBER? </li></ul><ul><li>_______________ </li></ul><ul><li>2. WHEN MULTIPLYING 2 NUMBERS WITH UNLIKE SIGNS, YOUR ANSWER IS ALWAYS NEGATIVE?? </li></ul><ul><li>TRUE FALSE </li></ul><ul><li>3. WHEN DIVIDING 2 NEGATIVE NUMBERS, YOUR ANSWER IS ALWAYS NEGATIVE? </li></ul><ul><li>TRUE FALSE </li></ul>
  32. 32. QUICK ASSESSMENT <ul><li>ANSWER THE FOLLOWING: </li></ul><ul><li>1. 1 x 1 = _______________ </li></ul><ul><li>2. -2 x -2 = _______________ </li></ul><ul><li>3. (-5) x 5 = _______________ </li></ul><ul><li>4. -3 x -5 = _______________ </li></ul><ul><li>5. 3 x (-6) = _______________ </li></ul><ul><li>6. -1 x (-1) = _______________ </li></ul><ul><li>7. 5 + 3 = _______________ </li></ul>
  33. 33. ESSENTIAL QUESTIONS <ul><li>HOW DOES/CAN A METEOROLOGIST USE POSITIVE/NEGATIVE NUMBERS WHEN FORECASTING/PREDICTING THE WEATHER? </li></ul><ul><li>DEFINE AND IDENTIFY/EXPLAIN EACH OF THE FOLLOWING: </li></ul><ul><ul><li>PRODUCT RULES FOR SIGNED NUMBERS </li></ul></ul><ul><ul><li>QUOTIENT RULES FOR SIGNED NUMBERS </li></ul></ul>
  34. 34. ASSIGNMENT <ul><li>QUICK ASSESSMENT </li></ul><ul><li>ESSENTIAL QUESTIONS </li></ul><ul><li>CHECKBOOK BALANCE </li></ul>

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