1. Name:________________________________________________________________________________Date:_____/_____/__________ Fill-in-the-Blanks with the rules for MULTIPLYING/DIVIDING: 4) Evaluate: 5) -2(40) =6) -4(-9) =7) 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. 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.

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

4. 1.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? Word problems: STRATEGY: Group the negative movements together. Do the same for the positives. Then, add them. (-50 + -90 + -15) = -155 (15 + 20) = 35 (-155 + 35) = -120 ft. below sea level

5. Word problems: 2.An airplane was at an elevation of 400 ft. above the ground. It descended 125 ft., and descended an additional 75 ft. However, it was in the flight path of another plane, so it ascended 100 ft. What is the plane’s altitude? (500) + (-200) = 300 ft. above ground.

6. Word problems: 3.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°.

7. Word problems: 4.The record low temperature for January in Augusta, Maine is -15°F, while the record high temperature is 45°F. What is the difference between the record low and the record high? 45 – (-15) = 60... so, the difference is 60 ⁰.

8. Word problems: 5.The temperature on Monday was 12°F. By Tuesday, it fell 20 degrees. What was the temperature on Tuesday? 12 + (-20) = -8 ⁰F

9. Word problems: 6.In four consecutive plays, the Steelers gained 10 yards, lost 5 yards, gained 15 yards, and lost 10 yards. What was their final yardage ? (25) + (-15) = 10... so they gained 10 yards.

10. Word problems: 7.Write a story problem about temperature, money, or game scores to represent the following number sentence: 20 + (-5) = 15

11. Write your own word problem/ Poster project... Directions (may work on your own or with a partner): 1.Use the space on your notes 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.

12. 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. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

13. 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: 1) 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? 2. An airplane was at an elevation of 400 ft. above the ground. It descended 125 ft., and descended an additional 75 ft. However, it was in the flight path of another plane, so it ascended 100 ft. What is the plane’s altitude? 3. 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? 4. The record low temperature for January in Augusta, Maine is -15°F, while the record high temperature is 45°F. What is the difference between the record low and the record high? STRATEGY: Group the negative movements together. Do the same for the positives. Then, add them.

14. 5. The temperature on Monday was 12°F. By Tuesday, it fell 20 degrees. What was the temperature on Tuesday? 6. In four different plays, the Steelers gained 10 yards, lost 5 yards, gained 15 yards, and lost 10 yards. What was their final yardage ? 7. Write a story problem about temperature, money, or game scores to represent the following number sentence: 20 + (-5) = 15 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:

15. Answer the following 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.Some divers were 25 ft. below sea level. They ascended 12 ft., descended 32 ft., and ascended 40 feet. Where are the divers now? 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? 6.Write a story problem that represents the following integer problem: Your problem could be about sports, money, temp., or something else of your choosing. -5 – 15 + 30 = _____ “Integer Word Problems” Homework/practice NAME:________________________________________________________________________________DATE: _____/_____/__________