1. Name:________________________________________________________________________________Date:_____/_____/__________ Fill-in-the-Blanks with the rules for MULTIPLYING/DIVIDING: 1) Evaluate: 2) -2(40) =3) -4(-9) =4) 8(-3) = Spiral Back: 1)Order the following from least to great (change to decimals when necessary): 0.766%0.6 Answer: 2)Convert 2,050,000,000 into scientific notation:___________ 3)Convert 0.0000004 into scientific notation:______________

2. Exit Ticket MULTIPLICATION/ DIVISION NAME:___________________________________________________________________________________Date:_____/_____/__________ Model the following problem using a number line: 1.2(-4) = _____ : Use the below model to answer the next two questions: 2.___ x ___ = ___3. ___ ÷ ___ = ___ Evaluate (give answer) the following : Identify the problem that the below is a model for: 8. ___ x ___ = _____ 4. 9(-2) = _____ 5. -5(-8) = _____

3. Today’s Lesson: What: Integer applications (Word Problems) Why: To analyze a variety of real-life integer applications/ scenarios. What: Integer applications (Word Problems) Why: To analyze a variety of real-life integer applications/ scenarios.

4. Analyzing a “word problem” : 1.Read entire problem first. 2.Read AGAIN and _______________ key words. 3. Set up the problem and _________. highlight solve

5. Key Words: SUM means ________________. DIFFERENCE means ____________________. PRODUCT means ________________________. QUOTIENT means _______________________. addition subtraction multiplication division

6. 1)What is the product of 7 and -5? 2)What is the sum of –30 and -20? 3)What is the difference between -5 and 17? 4)What is the quotient of -100 and -5? Together: 5) What is the quotient of 24 and -8? 6) What is the difference between 5 and -20? 7)What is the sum of -120 and 130? 8)What is the product of -6 and -7 ? On Your Own: -35-50 -22 20 -3 25 1042

7. Word problems: 1.It was a brisk 10°F on a wintery night in Alaska. However, the wind-chill factor made it feel like it was -8°F. What is the difference between these two temperatures? 10 – (-8) = 18... so, the difference is 18°. TOGETHER : HINT for next problems: Finding the difference between a positive and a negative number involves SUBTRACTING a negative!!!

8. 2.The record high temperature for January in Augusta, Maine is 45°F, while the record low temperature is -15°F. What is the difference between the record high and the record low? 45 – (-15) = 60... so, the difference is 60 ⁰. YOUR TURN :

9. 3.The temperature on Monday was 12°F. By Tuesday, it decreased 20 degrees. What was the temperature on Tuesday? 12 + (-20) = -8 ⁰F YOUR TURN : HINT: Read carefully, this one is different...

10. TOGETHER : 4.Joe ended round 1 with $45,350. However, Bob ended round 1 with -$3,500. If their money were combined, how much would it total? 45,350 + (-3,500) = $41,850 HINT for next problems: Add the total points up– follow your addition rules (Same signs, add. Different signs, subtract!)

11. YOUR TURN : 5. Jason had 15 points in round 1, -20 points in round 2, and 30 points in round 3. What was his total points for all 3 rounds? 15 + (-20) + 30 = 25

12. TOGETHER : 6.Jade’s bank account balance was $ - 75.00 on Monday. If she needs $125 by Christmas, how much more money does she need to earn? 125 – (-75) = $200 HINT for next problems: The phrase “How much more...” means SUBTRACTION. These also involve finding the difference between a positive and a negative...

13. YOUR TURN : 7.Jake owes his parents $60, and has nothing in his savings. Josh has $250 in his savings. How much more money does Jake need in order to have as much as Josh? 250 – (-60) = $310

14. 8.A Navy submarine was 50 ft. below sea level. It rose 15 ft., sank 90 ft., rose 20 ft., and sank 15 ft. Where is the submarine? (-50 + -90 + -15) = -155 (15 + 20) = 35 (-155 + 35) = -120 ft. below sea level HINT for next problems: Group the negative movements together. Do the same for the positives. Then, add them. TOGETHER :

15. 9.An airplane was at an elevation of 4000 ft. above the ground. It descended 450 ft., and descended an additional 100 ft. However, it was in the flight path of another plane, so it ascended 100 ft. What is the plane’s altitude? (4,100) + (-550) = 3,550 ft. above ground. YOUR TURN :

16. IXL HOmework DON’T FORGET TO LOG IN! (You won’t receive credit for doing your homework if you are not logged in!) C.5 https:// www.ixl.com/signin/jlsms CLICK on MATH CLICK on 7 th GRADE CLICK on the skill(s) assigned for homework EARN a Smart Score of 70 & work for at least 10 minutes! EARN a Smart Score of 70 on the assigned skill(s), then you are done! (Spend at least 10 minutes practicing.) TO LOG IN: CLICK on the IXL button on the Simpson Home Page (left side) Username: given to you by your teacher (Usually your initial of first name, and full last name) Password: math7

17. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.

18. Math-7 NOTES DATE: ______/_______/_______ NAME: What: Integer applications (Word Problems) Why: To analyze a variety of real-life integer applications/ scenarios. What: Integer applications (Word Problems) Why: To analyze a variety of real-life integer applications/ scenarios. Analyzing a “word problem”: 1. Read entire problem first. 2. Read AGAIN and ____________________ key words. 3. Set up the problem and ____________!! Integer word problems: HINT for next problems: Finding the difference between a positive and a negative number involves SUBTRACTING a negative!!! 1) It was a brisk 10°F on a wintery night in Alaska. However, the wind-chill factor made it feel like it was -8°F. What is the difference between these two temperatures? 2) The record high temperature for January in Augusta, Maine is 45°F, while the record low temperature is -15°F. What is the difference between the record high and the record low? 3) The temperature on Monday was 12°F. By Tuesday, it decreased 20 degrees. What was the temperature on Tuesday? Key Words: SUM means ________________. DIFFERENCE means _______________. PRODUCT means ___________________. QUOTIENT means ___________________. HINT: Read carefully, this one is different... 1)What is the product of 7 and -5?2) What is the sum of -30 and -20? 3)What is the difference between -5 and 17? 4) What is the quotient of -100 and -5? Together: 5) What is the quotient of 24 and -8?6) What is the difference between 5 and -20? 7) What is the sum of -120 and 130?8) What is the product of -6 and -7 ? On Your Own:

19. 6) Jade’s bank account balance was -$75.00 on Monday. If she needs $125 by Christmas, how much more money does she need to earn? 7) Jake owes his parents $60, and has nothing in his savings. Josh has $250 in his savings. How much more money does Jake need in order to have as much as Josh? HINT for next problems: The phrase “How much more...” means SUBTRACTION. These also involve finding the difference between a positive and a negative... 4) Joe ended round 1 with $45,350. However, Bob ended round 1 with -$3,500. If their money were combined, how much would it total? 5) Jason had 15 points in round 1, -20 points in round 2, and 30 points in round 3. What was his total points for all 3 rounds? HINT for next problems: Add the total points up– follow your addition rules (Same signs, add. Different signs, subtract!) 8) A Navy submarine was 50 ft. below sea level. It rose 15 ft., sank 90 ft., rose 20 ft., and sank 15 ft. Where is the submarine? 9) An airplane was at an elevation of 4,000 ft. above the ground. It descended 450 ft., and descended an additional 100 ft. However, it was in the flight path of another plane, so it ascended 100 ft. What is the plane’s altitude? HINT for next problems: Group the negative movements together. Do the same for the positives. Then, add them.

20. Complete the following IXL assignment: In addition, evaluate the following (SHOW WORK) : Evaluate the following story problems (SHOW WORK): 1.Steve is balancing his checkbook for the week. He began the week $15.00 in debt (- $15.00). However, he received two paychecks– one for $128.00 and another for $32.00. He also received two bills– one for $84.00 and another for $66.00. After depositing the checks and paying the bills, how much did Steve end up with? 2.Claire entered the elevator on the 8 th Floor. She rode the elevator down nine levels, up six levels, and down four more levels. What floor did she end up on? 3.Jennifer has $4,500 in her bank account. Oliver is in debt by $200. Since they are getting married, they will combine their finances. How much money will they have all together? “Integer Word Problems” Homework/practice NAME:________________________________________________________________________________DATE: _____/_____/__________ IXL: C.5 1)What is the product of 12 and -3?2) What is the sum of -28 and -2? 3)What is the difference between 13 and -3? 4) What is the quotient of -28 and -7? 5)What is the difference between 10 and 2? 6) What is the sum of -6 and 20? 7) What is the product of -50 and -3?8)What is the quotient of 40 and -2?

21. 4.It was 10°F on Saturday, but the temperature fell 18° by Sunday. What was the temperature on Sunday? 5.On a snowy day in Maine, the temperature was 14°F, but the wind-chill factor made it feel like it was -4°F. What is the difference between the real temperature and the wind-chill factor?

22. Write your own Word Problem/ Poster Project... Directions (may work on your own or with a partner): 1.Use the space below in order to write your “rough draft” integer word problem. 2. Get problem approved by teacher. 3. On a separate piece of “mini-poster” paper (teacher will provide), write final version of problem (use marker and make sure there are no spelling mistakes). 4.Draw a picture to support the problem. Posters will be hung/ displayed, so please be as neat as possible. Rough Draft: NAME:________________________________________________________________________________DATE: _____/_____/__________