brain blitz/ warm-up
DESCRIPTION
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? - PowerPoint PPT PresentationTRANSCRIPT
Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/ Warm-UP
1) The absolute value of a number refers to its ________________ from zero on a number line.
2) Why is absolute value always positive?
3) Evaluate:
4) Model the following problem on the below number line:
= _____
5) Model the following ADDITION problem on the number
line: -6 + -3 = _____
6) Model the following ADDITION problem on the given “algebra tile” mat: 8 + -7 = _____
= - = =
QUIZDAY!
!
Key: + = Positive - = Negative
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 . . . ___ + ___ = ___
4 -8 -4
3 -5 -2
Don’t forget to remove zero pairs:
Some more models . . .
Addition -5 + 6 = 1
Subtraction 1 – 6 = -5
-6 -5 -4 -3 -2 -1 0 1 2
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 6 1
answer
The above is a model for . . . ___ + ___ = ___
4 -2 2
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 !!!
SAMESIGNS
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
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
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).
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 . . .
Addition -5 + 6 = 1
Subtraction 1 – 6 = -5
-6 -5 -4 -3 -2 -1 0 1 2
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:
-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 !!!
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=
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”
. . . continued