1. Name:________________________________________________________________________________Date:_____/_____/__________ QUIZ DAY!! Key: + = Positive - = Negative

2. What: Integer addition rules Why: To establish the rules for adding integers (without models). What: Integer addition rules Why: To establish the rules for adding integers (without models). Today’s Lesson:

3. Quick review... These are not the only ways to model Addition of integers... The above is a model for... ___ + ___ = ___ Number Line Method: Algebra Tiles: The above is a model for... ___ + ___ = ___ 4 -8-4 3 -5 -2 Don’t forget to remove zero pairs:

4. Some more models... Notice that this number-line model does NOT start at __________, AND it also shows each individual jump. + + + + + + + + _ _ + + Answer: Notice that EACH step in the addition problem is shown in a separate box. The last box shows the ________________________. The above is a model for... ___ + ___ = ___ zero -5 61 answer The above is a model for... ___ + ___ = ___ 4 -2 2

5. Models are obviously not The only way to add with Positive and negative Numbers... When would using a model NOT be an effective method for adding?? Consider a problem like the below: -328 + 256 = _____ Algebra tiles would be silly because the numbers are too big. A number line would be difficult as well. That’s why we need to KNOW and apply the RULES for adding integers !!!

6. SAME SIGNS ADD ______ _______ 7 + 3 = 10 -7 + -3 = -10 DIFFERENT SIGNS _______________ Keep Sign of Larger Absolute Value 4 + -2 = 2 -4 + 2 = -2 ADDItion INTEGER RUles: SUBTRACT KEEP SIGN Video

7. Identify whether the following problems are “same” or “different” (write the appropriate word). Then, evaluate using the addition rules: -28 + -5 =-105 + 4 =-17+ -4 = 50 + 45 =-81 + 11 =225 + -1= examples: same -33 different -101 same -21 same 95 different -70 different 224

8. 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.

9. Math-7 NOTES DATE: ______/_______/_______ What: INTEGER ADDITION RULES Why: To establish the rules for adding integers (without models). What: INTEGER ADDITION RULES Why: To establish the rules for adding integers (without models). NAME: Quick review... The above is a model for... _____ + _____ = _____ Number Line Method: These are not the only ways to model Addition of integers... Algebra Tiles: The above is a model for... _____ + _____ = _____ Some more models... The above is a model for... _____ + _____ = _____ Notice that this number-line model does NOT start at __________, AND it also shows each individual jump.

10. The above is a model for... _____ + _____ = _____ Notice that EACH step in the addition problem is shown in a separate box. The last box shows the ________________________. Models are obviously not The only way to add with Positive and negative Numbers... When would using a model NOT be an effective method for adding?? Consider a problem like the below: -328 + 256 = _____ Algebra tiles would be silly because the numbers are too big. A number line would be difficult as well. That’s why we need to KNOW and apply the RULES for adding integers !!!

11. examples: ADDItion INTEGER RUles: Identify whether the following problems are “same” or “different” (write the appropriate word). Then, evaluate using the addition rules: -28 + -5 =-105 + 4 =-17+ -4 = 50 + 45 =-81 + 11 =225 + -1=

12. Use the rule established for adding “SAME” signs to answer the following: 1. -5 + (-10) = 2. -7 + (-12) =3. 9 + 28 =4. 21+ 11= 5. -20 + (-2) =6. 45 + 35=7. -15 + (-30) =8. -22 + (-18) = 9. 23 + 103 =10. 4.5 + 8.2 =11. -3.5 + (-4.2)=12. -1 / 2 + ( -3 / 4 ) = Use the rule established for adding “DIFFERENT” signs to answer the following: 1. -4 + 10 = 2. -7 + 20 =3. 9 + (-8) =4. -21+ 30= 5. 40 + (-8) =6. -45 + 30=7. -15 + 17=8. 200 + (-15) = 9. 25 + -105 =10. -4.1 + 8.2 =11. -9.5 + (0.5) =12. 1 / 2 + ( -3 / 4 ) = Rule for Adding “SAME” Signs: When signs are the same, we __________________ and ___________________ the sign! Rule for Adding “DIFFERENT” Signs: When signs are __________________________, we ___________________________ and keep the sign of the larger absolute value (who “wins” the war)! NAME:________________________________________________________________________________DATE: _____/_____/__________ Math-7 homework “Adding Integers”

13. ... continued