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bull integers addition even numbers odd numbers prime numbers composite numbers negative integer positive numbers whole numbers subtraction multiplication division 0 122 ndash100 comparing ordering thermometer debtscredits abovebelow sea level
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Integers (add this to small notebook)
Definition
Integers are a set ofnumbers that include the
following(hellip ndash3 ndash2 ndash1 0 1 2 3 hellip)
Facts
Include positive and negative whole numbers Successive integers differ by one Every negative number is the opposite of the
positive number of the same size Represents the difference between two
objects in a set Can be represented on a number line
Examples
ndash25 0 8
Non-examples
ndash276
4 13
02
631345
Integers
Opposite Integers ndash Concept of Zero
additive inverse
Yellow (ndash) Red (+)
Which of the following would represent zero using integer tiles
Yes or No
Yes or No
Yes or No
use integer tiles to answer questions
(+2) and (ndash2) = 0 (+3) and (ndash3) = __
(ndash5) and ( ) = 0 ( ) and (+4) = 0
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Integers (add this to small notebook)
Definition
Integers are a set ofnumbers that include the
following(hellip ndash3 ndash2 ndash1 0 1 2 3 hellip)
Facts
Include positive and negative whole numbers Successive integers differ by one Every negative number is the opposite of the
positive number of the same size Represents the difference between two
objects in a set Can be represented on a number line
Examples
ndash25 0 8
Non-examples
ndash276
4 13
02
631345
Integers
Opposite Integers ndash Concept of Zero
additive inverse
Yellow (ndash) Red (+)
Which of the following would represent zero using integer tiles
Yes or No
Yes or No
Yes or No
use integer tiles to answer questions
(+2) and (ndash2) = 0 (+3) and (ndash3) = __
(ndash5) and ( ) = 0 ( ) and (+4) = 0
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Opposite Integers ndash Concept of Zero
additive inverse
Yellow (ndash) Red (+)
Which of the following would represent zero using integer tiles
Yes or No
Yes or No
Yes or No
use integer tiles to answer questions
(+2) and (ndash2) = 0 (+3) and (ndash3) = __
(ndash5) and ( ) = 0 ( ) and (+4) = 0
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
additive inverse
Yellow (ndash) Red (+)
Which of the following would represent zero using integer tiles
Yes or No
Yes or No
Yes or No
use integer tiles to answer questions
(+2) and (ndash2) = 0 (+3) and (ndash3) = __
(ndash5) and ( ) = 0 ( ) and (+4) = 0
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Which of the following would represent zero using integer tiles
Yes or No
Yes or No
Yes or No
use integer tiles to answer questions
(+2) and (ndash2) = 0 (+3) and (ndash3) = __
(ndash5) and ( ) = 0 ( ) and (+4) = 0
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
use integer tiles to answer questions
(+2) and (ndash2) = 0 (+3) and (ndash3) = __
(ndash5) and ( ) = 0 ( ) and (+4) = 0
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
What does this equal
Can you arrange the tiles to show the same answer in a different way
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Use integer tiles to show ndash2 +3 and ndash5
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Integers Warm UpPlace the following numbers on a number line 3 ndash4 0 1 ndash5 Explain how these numbers are ordered
Write lt = or gt in the boxes to complete the sentences below correctly a) ndash15 1048709ndash20 b) ndash46 1048709 ndash31 c) ndash2 1048709 5 ndash 5
Name the negative integers that are greater than ndash20 and divisible by 3 Explain your answer
The temperature is -15o Celsius on Monday and -8o Celsius on Tuesday Which day shows the higher temperature How do you know Explain why one negative integer is less than another negative integer by using a real world context
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Show the same number using a different number of tiles What is the pattern
Integer +2 -2 +3 -5
Number of integer tiles
2 4 6 8 hellip 2 4 6 8 hellip 3 5 7 9hellip 5 7 9 11hellip
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Can you represent +3 with 121 tiles
bull why or why not
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Adding Integers (+) Positive (+) Negative (-)
Positive (+) Positive (+) Add the numbers and use the sign of the numbers
Subtract numbers and take the sign of the larger number
Negative (-) Subtract numbers and take the sign of the larger number
Negative (-)Add the numbers and use the sign of the numbers
Example 1 Positive + Positive
Example 2 Negative + Negative
Example 3 Positive + Negative
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Rule The sum of two positive integers is a positive integer
Integers Sum
+2 + +9 = +11+17 + +5 = +22+29 + +16 = +45Do not confuse the sign of the integer with the operation being performed Remember that
+29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Rule The sum of two negative integers is a negative integer
Integers Sum
-2 + -9 = -11-5 + -8 = -13-13 + -7 = -20
Do not confuse the sign of the integer with the operation being performed Remember that
-2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
To add a positive and a negative integer (or a negative and a positive integer) follow these steps
Find the absolute value of each integer
Subtract the smaller number from the larger number you get in Step 1
The result from Step 2 takes the sign of the integer with the greater absolute value
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Adding Integers
bull You earn $2 and then spend $5 How much is your profit or loss
bull Show this on a number line
-5 -4 - 3 -2 -1 0 1 2 3 4 5bull Show this using integer tiles
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
(+2) + (ndash5) = (ndash3)
Another example
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
add using the integer tiles drawing diagrams and writing the number sentences
(+2) + (+3) = __ (ndash1) + (+4) = __ (ndash1) + (ndash3) = __ (+2) + (ndash4) = __
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Class Practice
Regular Problems P 280 Evens from 2 ndash 40 61
Or
Challenge ProblemsP 281 53 55 57 58 65 66
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Operation Integers
bull Yellow cards are negativebull White cards are positive
DIRECTIONSbull Turn over two cards and add thembull Larger answer wins (Record your addition sentence)
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Subtracting Integers
You are $2 in debt and spend $4 more What is your debt now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
-2 ndash 4 = -2 + -4 =
- +
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Sunny has $4 but spends $6 How much money does she have now
1 Tiles2 Number Line3 Math Equation4 Spokesperson
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
+4 + (-6) = -2
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
On your own
bull (+2) ndash (+3) = __ bull (+2) ndash (ndash2) = __ bull I am $1 in debt and I spend $3 more What is
my debtprofit now bull (ndash1) ndash (ndash3) = __ bull I am $3 in debt and someone cancels a $2
debt that I owe him What is my debtprofit now
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Subtracting Integers
Examples Not an example
FACT The difference of two integers may be ___ ____ or ___ to either of the integers that are subtracted
FACT Any subtraction equation can be written as an equivalent __________ sentence
For your small notebook
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
Class Practice
bull Textbook p 287bull Regular 2-32 (evens) 42bull orbull Challenge 10 26 34 47 49
bull GAME + 100 Integers
