Download INTEGER UNIT FLIPPED CLASSROOM

INTEGER UNIT FLIPPED
CLASSROOM
LESSONS 1-3
ADDING INTEGERS
ADDING INTEGERS
USING A NUMBER LINE
−3+ (−4) =
1.  Begin at the first number in the expression.
2.  Move based on the second number
1.  If the next number in the expression is NEGATIVE, move
that number of spaces LEFT.
2.  If the next number in the expression is POSITIVE, move that
number of spaces RIGHT.
PRACTICE - A
•  Add the numbers in the following expressions USING
A NUMBER LINE.
1. 
2. 
3. 
4. 
5. 
6. 
7. 
2 + (-3) =
-2 + (-6) =
-7 + (-1) =
-3 + 8 =
4+5=
-2 + 5 =
0 + -9 =
ADDING NUMBER LINES USING
COMPUTATIONAL RULES
•  When the signs of the numbers are the same you can add the
absolute values and include the sign of the addends (numbers
being added together).
−6 + (−3) = −9
−6 = 6
3+ 6 = 9
But the terms are negative SO
−3 = 3
•  When the signs of the numbers are different you subtract the
addend with the smaller absolute value from the addend
with the larger absolute value. Use the sign of the addend
with the larger absolute value in your answer. The absolute
−4 + 2 = −2
−4 = 4
2 =2
4−2 = 2
4>2
value of -4 is
greater than the
absolute value
of 2 SO
PRACTICE - B
•  Add the numbers in the following expressions USING
the COMPUTATIONAL RULES.
1. 
2. 
3. 
4. 
5. 
6. 
7. 
-19 + 21 =
-13 + (-11) =
123 + (-64) =
-43 + (-22) =
-76 + (-7) =
-96 + 29 =
190 + 74 =
SUBTRACTING INTEGERS
SUBTRACTING INTEGERS
USING A NUMBER LINE
−3− 7 =
1.  Begin at the first number in the expression.
2.  Move based on the second number
1.  If you are subtracting a negative, you move to the RIGHT
that number of spaces.
2.  If you are subtracting a positive, you move the the LEFT
that number of spaces.
PRACTICE - C
•  Subtract the numbers in the following expressions
USING A NUMBER LINE.
1. 
2. 
3. 
4. 
5. 
6. 
7. 
2 – (-1) =
-1 – (-6) =
-9 – (-1) =
-4 – 3 =
4 – (-5) =
-2 – 5 =
0–9=
KEEP CHANGE CHANGE (KCC)
•  When you are subtracting in an expression, you can
write an equivalent expression by changing the
subtraction sign to an addition sign and changing
the sign of the second term.
−5 − (−8) =
−5 + (+8) =
−3− 7 =
−3+ (−7) =
•  In other words Keep the sign of the first term,
change the subtraction sign to an addition sign,
and change the sign of the second term.
PRACTICE - D
•  Subtract in the following expressions using Keep
Change Change:
1. 
2. 
3. 
4. 
5. 
6. 
7. 
15 – (-4) =
73 – 15 =
-23 – 19 =
-29 – (-57) =
-88 – 12 =
45 – 19 =
52 – (-11) =
ABSOLUTE VALUE
ABSOLUTE VALUE
•  Absolute Value is the distance that a number is from
0.
•  -9 is 9 spaces from 0 SO the absolute value of -9 is 9.
•  4 is 4 spaces from 0 SO the absolute value of 4 is 4.
•  Two numbers that add up to zero are called
additive inverses, opposites, or a zero pair.
•  -5 + 5 = 0; -5 & 5 are additive inverses.
ABSOLUTE VALUE
•  When there are expressions inside absolute value
bars, evaluate the expression and then take the
absolute value of the expression.
−3+ 7
4
4
•  Do NOT take the absolute value of each term first:
−3+ 7
3+ 7
10
PRACTICE - D
•  Find the absolute value of the following expressions:
1.  Solve:
−23
2.  Solve:
47
3.  Solve:
−1+ 9
4.  Solve:
−21− (−45)