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M2 1.4 Subtracting Integers.notebook 1 May 06, 2019 Page 49

Transcript of M2- 1.4 Subtracting Integers.notebook - Kyrene School District · M2 1.4 Subtracting...

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M2­ 1.4 Subtracting Integers.notebook

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Page 49

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Jun 20­10:53 AM

learning targets

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/ / #

Examples: Notes:

EQ: How can you use models to subtract integers?

M2- 1.4 Subtracting Integers with 2- Color Counters

4 - 2 = ____

4 - (-2) = ____

Subtracting Negative Numbers:1. Pull out chips to represent the FIRST

number.2. TAKE AWAY the SECOND number of

chips by circling them & drawing an AWAY arrow.

3. IF there aren't enough chips to take away, ADD ZERO PAIRS & then take away

> Add as many zero pair as needed.

+-

+-

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- +

+++++++

Subtracting Negative Numbers:1. Pull out chips to represent the

FIRST number.2. TAKE AWAY the SECOND number

of chips by circling them & drawing an AWAY arrow.

3. IF there isn't enough chips to take away, ADD ZERO PAIRS & then take away> Add as many zero pair as

needed.

+- Page 55

Whiteboards

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- +

-------

Subtracting Negative Numbers:1. Pull out chips to represent the

FIRST number.2. TAKE AWAY the SECOND number

of chips by circling them & drawing an AWAY arrow.

3. IF there isn't enough chips to take away, ADD ZERO PAIRS & then take away> Add as many zero pair as

needed.

+-

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- +

+++++++

+++++

-----

+-

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Page 56

- +

-------- +- +- +- +- +

+-

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- +

++++

- +- +- +- +- +

= 9 +-

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- +

----- +

= 1+-

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- +

----

+-+-+-+-+-

= -9+-

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- += -1

++++

+-

+-Page 58

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Page 59- +

= -1

+-+-+-+-+-+-+-

+-

= 7

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+10

+-

-100

+100

+10+10++++50-50

-10 +10

-10 +10-10+10-10 +10

-5 +5---

+++

-50

-10

-10

-10

-10-5----

+100+5-50 -5-10 - + +50

­99 ­ (­70) = ___-29

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+10

+-

123 ­ 221= _____

-100

+100

+10+10++++50-50

-10 +10

-10 +10-10+10-10 +10

-5 +5---

+++

+100+5-50 -5-10 - + +50

-98

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= 7

54 ­ (­23) = ___

+-

77

+10

+10

+10

+10

+10++++

-10 +10

-10 +10+-+- +-

-100-50 -10-5- + +5+10 +50+100

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+10

+-

123 ­ 221= _____

-100

+100

+10+10++++50-50

-10 +10

-10 +10-10+10-10 +10

-5 +5---

+++

+100+5-50 -5-10 - + +50

-98

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/ / #

Examples: Notes:

EQ: How can you use models to subtract integers?

M2- 1.4 Subtracting Integers with 2- Color Counters

4 - 2 = ____

4 - (-2) = ____

Subtracting Negative Numbers:1. KEEP the first number (WHOLE).

> DON'T TOUCH THE WHOLE!!!!2. WE DO NOT SUBTRACT INTEGERS...

WE ADD THE OPPOSITE!!!> Additive Inverse> Change the subtraction sign to an

addition sign.3. Change the 2nd number to its opposite.

> KEEP, CHANGE, CHANGE4. ADD the integers.

+-

2 - 4 = ____

4 + (-2) = ____

4 + 2 = ____

2 + (-4) = ____

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-9 + (2) =-7

-3 + 3 =0

-7 + (-5) =-12

24 + (-8) =

-16

-4 + (-2) =-2

5 + (-9) =-4

-20 + 30 =10

-10 + (-18) =

-28

change to the additive inverse & 

then solve.

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3 + x = 74

2 + x = -7-9

45x - 5 = 40

x + 5 = 4035

-6 + x = 52

58

10x + 20 = -10

35x + 5 = 40

6 + x = 5246

-6 + x = -52-46

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DISTANCE CAN NEVER BE NEGATIVE!!!

-14 feet

277 feet

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/ / #

Examples: Notes:

EQ: How can you use models to subtract integers?

M2- 1.4 Subtracting Integers with 2- Color Counters

Absolute Value:• Find OVERALL distance by finding the

difference between 2 points on number line.• Perform operation inside bars

> Answer CANNOT be negative

|8-6|= ____

|6-8|= ____

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Remember!!

hw: practice & stretch pages 67-68

#1- only 1 model