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adding integers day 1.notebook
1
June 08, 2017
Jump Start1. Show 2 different ways of representing each integer using integer tiles
1 +1
A) 3 B) 7 C) 4
2. What number is represented by the integer tiles?a)
1 1 1
+1 +1 +1
1 1
b)
1
+1 +1 +1 +1
1
c)
3. Explain in your own words what the zero principle is?
1
1 1
1
1
1
1
+1
1 1 1 1
+1
1 1 1
1
+1
1 1 1 1 1 1 1
+1+1 +1 +1 +1
1
June 8
adding integers day 1.notebook
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June 08, 2017
+11 Remember: A positive tile and a negative tile combine to show zero (0). We call this a zero pair.
1 +1
(+4) + (+1) =
(4) + (1) =
(4) + (+1) =
(+4) + (1) =
+5
5
3
+3
(+4) + (4) = 0
Using coloured tiles to A D D I N T E G E R SUsing coloured tiles to A D D I N T E G E R S
+1 +1 +1 +1
+1
1 1 1 1
1
1 1 1 1
+1
+1 +1 +1 +1
1
1
+1 +1 +1 +1
1 1 1
adding integers day 1.notebook
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June 08, 2017
+1 1
+1 +1 +1
1 1
1 1 1 1 1
+1 +1
1 1 1 1
1 1 11 1
+1 +1 +1 +1
(+1) + (+3) = (–3) +
Color Chips Addition NLVM
What sum do each set of tiles model?
=
+ = + =
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Calculate each sum.
1. (+5) + (+6) =
2. (7) + (2) =
3. (+5) + (1) =
4. (1) + (+3) =
7. 5 + (2) =
6. 1 + (9) =
8. 2 + 5 =
+11
+8
1
0
50
5
+3
1
60
9
adding integers day 1.notebook
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June 08, 2017
Use Integer Tiles to show the following addition operations
a) (3) + (2) b) (1) + (+3) c) (4) + (2)
d) (3) + (+5) e) (1) + (3) f) (+4) + (2)
1 +1
1 1 1
1 1
1
+1 +1 +1
1 1 1 1
1 1
1 1 1
+1 +1 +1 +1 +1
1
1 1 1
+1 +1 +1 +1
1 1
adding integers day 1.notebook
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June 08, 2017
Homework
Text page 339 #1, 3, 4, 8, 9, 11,
adding integers day 1.notebook
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June 08, 2017
Check
RULES for Mentally A d d i n g I n t e g e r sRULES for Mentally A d d i n g I n t e g e r s
The sum of two positive integers is a positive integer.
e.g., (+13) + (+7) = +20
The sum of two negative integers is a negative integer.
e.g., (13) + (7) = 20
Rule #1:
Rule #2:
TRY these: a) (+9) + (+8) =
b) (10) + (5) =
c) 20 + (20) =
Rule #3: The sum of any integer and its opposite is equal to zero.
e.g., (13) + (+13) = 0a) +17b) 15c) 0
Check
adding integers day 1.notebook
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June 08, 2017
Check
5+1
Check
When adding integers with opposite signs:Step1: Find their absolute valuesStep 2: Subtract the smaller from the largerStep 3: Give the result the sign of the integer with the
greater absolute value.
e.g., (13) + (+7)
Step 3: Since 13 has the greater absolute value,the number 6 will take a negative sign.
Step 2: 13 7 = 6
∴ (13) + (+7) = 6
Rule #4:
Step 1: |13| = 13 and |+7| = 7
TRY these:a) (+9) + (8) = b) (10) + (+5) =
XP MathMath Games Arcade
adding integers day 1.notebook
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June 08, 2017
(13) + (+8) + (12) + (+10) + (+9)
= (13) + (12) + (+8) + (+10) + (+9)
The simplest method is to group all the positive and negative integers together:
Calculate the sum of each group:
= (25) + (+27)Then calculate the total sum:
= 2
Associative property of additionYou can group the numbers you are
adding any way you wantand still get the same answer!
(+5) + (7) + (1) + (+10) + (2) + (+6) =TRY this:
Adding More Than Two Integers TogetherAdding More Than Two Integers Together
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adding integers day 1.notebook
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adding integers day 1.notebook
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(+5) + (7) + (1) + (+10) + (2) + (+6)
= (+21) + (10)
= (+11)
= (+5) + (+10) + (+6) + (7) + (1) + (2)
Answer:
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