BRAIN BLITZ/ Warm-UP

1. Name:________________________________________________________________________________Date:_____/_____/__________Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/ Warm-UP QUIZ DAY!! 1) The absolute value of a number refers to its ________________ from zero on a number line. • Why is absolute value always positive? • Evaluate: • Model the following problem on the below number line: = _____ • Model the following ADDITION problem on the number line: -6 + -3 = _____ • Model the following ADDITION problem on the given “algebra tile” mat: 8 + -7 = _____ Key: + = Positive - = Negative

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

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

4. Some more models . . . Notice that this number-line model does NOT start at __________, AND it also shows each individual jump. zero _ _ + + + + + + + + + + The above is a model for . . . ___ + ___ = ___ -5 6 1 Answer: Notice that EACH step in the addition problem is shown in a separate box. The last box shows the ________________________ . answer 4 2 The above is a model for . . . ___ + ___ = ___ -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. ADDItion INTEGER RUles: DIFFERENT SIGNS SAME SIGNS _______________ ADD SUBTRACT Keep Sign of Larger Absolute Value ______ _______ KEEP SIGN 7 + 3 = 10 -7 + -3 = -10 4 + -2 = 2 -4 + 2 = -2 Video

7. examples: same different same -33 -101 -21 same different different 95 -70 224

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: ______/_______/_______ NAME: What: INTEGER ADDITION RULES Why: To establish the rules for adding integers (without models). Quick review . . . Number Line Method: The above is a model for . . . _____ + _____ = _____ Algebra Tiles: The above is a model for . . . _____ + _____ = _____ These are not the only ways to model Addition of integers . . . 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. ADDItion INTEGER RUles: examples:

12. NAME:________________________________________________________________________________DATE: _____/_____/__________ Math-7 homework “Adding Integers” 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)!

13. . . . continued