Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Upcoming SlideShare
Loading in …5
×

# Math Powerpoint Lesson 3 2 (1)

• Full Name
Comment goes here.

Are you sure you want to Yes No
Your message goes here
• Login to see the comments

### 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>