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

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:

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... ___ + ___ = ___ Don’t forget to remove zero pairs:

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 answer The above is a model for... ___ + ___ = ___

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: = _____ 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 !!!

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

Identify whether the following problems are “same” or “different” (write the appropriate word). Then, evaluate using the addition rules: = = = = = = examples: same -33 different -101 same -21 same 95 different -70 different 224

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.

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.

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: = _____ 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 !!!

examples: ADDItion INTEGER RUles: Identify whether the following problems are “same” or “different” (write the appropriate word). Then, evaluate using the addition rules: = = = = = =

Use the rule established for adding “SAME” signs to answer the following: (-10) = (-12) = = = (-2) = = (-30) = (-18) = = = (-4.2)= / 2 + ( -3 / 4 ) = Use the rule established for adding “DIFFERENT” signs to answer the following: = = (-8) = = (-8) = = = (-15) = = = (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”

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