1. Name:________________________________________________________________________________Date:_____/_____/__________ Evaluate the following ADDITION problems: 1. 25 + (-3) =2) -4 + (-26) =3) -82 + 2 =4) -8 + (-100) =5)12 + (-42) = Evaluate the following SUBTRACTION problems: 6) 8 – 20 =7) -26 – 6 =8) 9 – (-4) =9) -2 – (-18) =10) -14 – 7 = Evaluate the following MULTIPLICATION problems: 11) 3 (-6) =12) -9 4 =13) -5 (-7) =14) -8 8 =15) -2 (-50) = Evaluate the following DIVISION problems: BONUS: There are 28 doughnuts. If there are 7 officers, how many doughnuts does each officer get? Teacher will show video to show “answer.”VideoVideo

2. What’s in the Mailbox Integer Lab (teacher will give directions)

3. Today’s lesson... What: Introduction to integers Why: To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers.

4. What is an integer? Integers include the _____________________ whole numbers, the positive whole numbers, and zero. negative

5. Real-life Applications: (brainstorm)

6. Identifying positive/negative numbers: Place the following numbers on the below number line: 0-5 -3 ½ 0.5-0.5 -4 1 / 4 9.5-8.5 0

7. Comparing positive /negative numbers: Place a > or a < in the following blanks: 1) 5 _____ -8 2) -100 _____ 0 3) -1 / 2 _____ -1 4) -6 _____ -5.5 > > < <

8. Ordering positive/ negative Numbers: Order the following from least to great: -2530 -1 / 2 -4.551/451/4 5) -25, -4.5, -1/2, 0, 3, 5 ¼ Order the following from greatest to least: -8-9-8.57-7.5-7 6) Together: Your Turn: 7, -7, -7.5, -8, -8.5, -9

9. Absolute value: Absolute Value measures ___________________ from ________________ on a number line. Absolute value is ALWAYS __________________ because distance ALWAYS has value!! Example: Model the absolute value of 3 ( |3| ) on the below number line: What other number also has an absolute value of “3” ? __________ distance zero positive The SYMBOL for ABSOLUTE VALUE is | | ! 0 -3

10. Evaluate: 1) |9.5| 2) | -4| 3) -|15| 4) | -3 / 4 | 5) - |- 28| 6) | 8 – 9 | 9.54-15 3/43/4 -28 1

11. WHY IS ABSOLUTE VALUE ALWAYS POSITIVE?? Because distance ALWAYS has value!! 7) On the below number line, place a point on the number(s) with an absolute value of 4 : 8) On the below number line, place a point on the number(s) with an absolute value of : Change to a mixed # !!

12. IXL HOmework DON’T FORGET TO LOG IN! (You won’t receive credit for doing your homework if you are not logged in!) B.3 B.6 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

13. 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.

14. Real-life Applications: Math-7 NOTES DATE: ______/_______/_______ What: Introduction to integers Why: To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers. NAME: Identifying Positive/Negative Numbers: Place a > or a < in the following blanks: 1) 5 _____ -82) -100 _____ 03) -1 / 2 _____ -14) -6 _____ -5.5 Place the following numbers on the below number line: 0-5-3 ½ 0.5- 0.5-4 1 / 4 9.5-8.5 0 Comparing Positive /Negative Numbers: What is an integer? Integers include the _______________________________ whole numbers, the positive whole numbers, and zero. TOGETHER-- Order the following from least to great: -2530 -1 / 2 -4.551/451/4 5) Ordering Positive/ Negative Numbers:

15. Example: Model the absolute value of 3 ( | 3 | ) on the below number line: What other number also has an absolute value of “3” ? __________ YOUR TURN-- Order the following from greatest to least: -8-9-8.57-7.5-7 6) Absolute value: Absolute Value measures _____________________ from ________________ on a number line. Absolute value is ALWAYS ______________________ because distance ALWAYS has value. Evaluate: 1) |9.5|2) | -4|3) - |15|4) | -3 / 4 |5) - |-28| 6) |8 - 9| 7)On the below number line, place a point on the number(s) with an absolute value of 4 : 8) On the below number line, place a point on the number(s) with an absolute value of : Change to a mixed # !!

16. 2) 10 ______ 123) 0 ______ -124) 1/3 ______ 25% 5) -5 ______ -10 / 5 6) -2 ______ -1.27) -15 ______ -15.1 10) |-9| =11) | - | =12)|-258| = 13) - |923| =14) |- 0.25 | =15) |0| = Absolute Value: 8) Absolute value measures a number’s ________________________________ from zero on a number line. 9) Because absolute value is a measure of distance, it is always ____________________ because distance always has value. O Place the following numbers on the number line: 1) -2-6159 ½-2.5-96.75-8.1 Fill in the blank with or = : NAME:________________________________________________________________DATE: _____/_____/__________ Individual Practice “Integers and Absolute Value” Evaluate: 16)On the below number line, place a point on the number(s) with an absolute value of :

17. ... continued