Transcript Document 7637756

Notes – Addition and
Subtraction of Integers (with
counting chips)
We are learning to…add and subtract positive and
negative integers with counting chips.
Wednesday, May 25, 2016
Counting Chips
 Take only the small red and blue
Algebra Tiles out of the bag. Please
put all other tiles back into the bag.
 Divide your tiles so that everyone in
your group has an equal amount of
tiles.
Rules for Counting Chips
 Today we will be modeling the
addition and subtraction of integers
with counting tile manipulatives.
 Rules:
1. When groups of different colored chips
are put together a red and a blue chip
cancel each other out.
2. When groups of the same colored chips
are put together nothing cancels out.
Practice
DON’T FORGET TO LABEL YOUR ANSWERS WITH THE CORRECT COLOR OF CHIPS
7 Reds
1. 3 reds + 4 reds = ________
11 Blues
2. 5 blues + 6 blues = ________
6 Reds
3. 2 blues + 8 reds = ________
12 Reds
4. 8 reds + 4 reds = ________
3 Blues
5. 9 blues + 6 reds = ________
8 Blues
6. 7 blues + 1 blue = ________
Fix the common mistake!
 Gordon was trying to add 13 blue
chips to 15 red chips and he thinks
that the solution is 28. Explain to
Gordon what he did incorrectly. Help
him fix his thinking so he won’t
answer future problems incorrectly.
 Explain in complete pictures and draw
pictures to help Gordon!
Addition of Integers
 The Red Tiles represents…one negative(-1).
 The Blue Tiles represents…one positive (+1).
More Practice

DON’T FORGET TO LABEL YOUR ANSWERS WITH THE CORRECT SIGN
-6
8  2  _______
5
7  (2)  _______
-7
4  (3)  _______
-3
9  6  _______
-14
5  (9)  _______
0
10  (10)  _______
Try the rest of the practice with your group!
Hints of adding integers…
 If you are adding integers with the SAME
sign…just add like normal and keep the
sign.
 If you are adding integers with
DIFFERENT signs ask yourself 2
questions…
 1. Are there more positives or negatives? This
will tell you the sign of your solution.
 2. How many more do I have? This will tell you
the value of your solution.
Subtraction of Integers
Wednesday, May 25, 2016
We are learning to…add and subtract positive and
negative integers with counting chips.
Subtracting Integers with Counting
Chips
 Subtraction means …to take away, so to show this with
chips we will have to…start with a certain amount of
chips and then take away from that group.
4
9  5  _______
-6
14  (8)  _______
-1
7  (6)  _______
-5
8  (3)  _______
0
9  (9)  _______
-7
15  (8)  _______
Now try:
4  (2)  _______
PROBLEM ?
How can we take a negative away
from a positive?
 Solution:
 Add in “Zero Pairs” until you have enough negative
(or positives) to take away!
 A Zero Pair is a positive and a negative chip.
 Since the two chips cancel each other, you are really
adding in zero and not changing the problem.
 Remember:
+
=0
6
4  (2)  _______
Subtraction of Integers Practice
9
5  (4)  _______
-14
9  5  _______
-11
8  3  _______
2  10  _______
-8
9
7  (2)  _______
1  (4)  _______
3
Now try a few assessment questions
to test your skills adding and
subtraction integers!