Understanding Operations  Add/Subtract
7th Grade


Alabama Course of Study Standards:
4.a

Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as
additive inverses. 
Arkansas Academic Standards:
7.NS.A.1.A

Describe situations in which opposite quantities combine to make 0 and show that a number and its opposite have a sum of 0 (additive inverses) (e.g., A hydrogen atom has 0 charge because its two constituents are oppositely charged.) 
Arizona  K12 Academic Standards:
7.NS.A.1a
New York State Next Generation Learning Standards:
7.NS.1.a
Tennessee Academic Standards:
7.NS.A.1.a

Describe situations in which opposite quantities combine to make 0. 
Common Core State Standards:
Math.7.NS.1a or 7.NS.A.1.A
Kentucky Academic Standards (KAS):
7.NS.1.a
Mississippi College and CareerReadiness Standards:
7.NS.1a

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. 
Georgia Standards of Excellence (GSE):
7.NR.1.1

Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0. 
Massachusetts Curriculum Frameworks:
7.NS.A.1.a

Describe situations in which opposite quantities combine to make zero. For example: A hydrogen atom has zero charge because its two constituents are oppositely charged; If
you open a new bank account with a deposit of $30 and then withdraw $30, you are left with a $0 balance. 
North Carolina  Standard Course of Study:
7.NS.1

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, using the
properties of operations, and describing realworld contexts using sums and differences. 
New Jersey Student Learning Standards:
7.NS.A.1.A

Describe situations in which opposite quantities combine to make 0. For example, in the
first round of a game, Maria scored 20 points. In the second round of the same game, she
lost 20 points. What is her score at the end of the second round? 
Wisconsin Academic Standards:
7.NS.A.1.a

Describe situations in which opposite quantities combine to make 0. For example, if you earn $10 and then spend $10, you are left with $0. 
Alabama Course of Study Standards:
4.b

Interpret the sum of two or more rational numbers, by using a number line and in realworld contexts. 
Arkansas Academic Standards:
7.NS.A.1.B

 Understand p + q as a number where p is the starting point and q represents a distance from p in the positive or negative direction depending on whether q is positive or negative
 Interpret sums of rational numbers by describing realworld contexts (e.g., 3 + 2 means beginning at 3, move 2 units to the right and end at the sum of 5; 3 + (2) means beginning at 3, move 2 units to the left and end at the sum of 1; 70 + (30) = 40 could mean after earning $70, $30 was spent on a new video game, leaving a balance of $40)

Arizona  K12 Academic Standards:
7.NS.A.1b
Common Core State Standards:
Math.7.NS.1b or 7.NS.A.1.B
Kentucky Academic Standards (KAS):
7.NS.1.b
Mississippi College and CareerReadiness Standards:
7.NS.1b
North Carolina  Standard Course of Study:
7.NS.1.b

Understand p + q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing realworld contexts. 
Georgia Standards of Excellence (GSE):
7.NR.1.2

Show and explain p + q as the number located a distance q from p, in the positive or negative direction, depending on whether q is positive or negative. Interpret sums of rational numbers by describing applicable situations. 
New York State Next Generation Learning Standards:
7.NS.1.b

Understand addition of rational numbers; p + q is the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing realworld contexts. 
Alabama Course of Study Standards:
4.c

Explain subtraction of rational numbers as addition of additive inverses. 
Arkansas Academic Standards:
7.NS.A.1.C

 Understand subtraction of rational numbers as adding the additive inverse, p  q = p + (q)
 Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in realworld contexts (e.g., the distance between 5 and 6 is 11. 5 and 6 are 11 units apart on the number line)

Arizona  K12 Academic Standards:
7.NS.A.1c
Common Core State Standards:
Math.7.NS.1c or 7.NS.A.1.C
Kentucky Academic Standards (KAS):
7.NS.1.c
Mississippi College and CareerReadiness Standards:
7.NS.1c
North Carolina  Standard Course of Study:
7.NS.1.c

Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in realworld contexts. 
Georgia Standards of Excellence (GSE):
7.NR.1.4

Show and explain subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in contextual situations. 
Alabama Course of Study Standards:
4.d

Use a number line to demonstrate that the distance between two rational numbers on the number line is the
absolute value of their difference, and apply this principle in realworld contexts. 
Arizona  K12 Academic Standards:
7.NS.A.1d
Common Core State Standards:
Math.7.NS.1d or 7.NS.A.1.D
Kentucky Academic Standards (KAS):
7.NS.1.d
Mississippi College and CareerReadiness Standards:
7.NS.1d
North Carolina  Standard Course of Study:
7.NS.1.d

Apply properties of operations as strategies to add and subtract rational numbers. 
Georgia Standards of Excellence (GSE):
7.NR.1.5

Apply properties of operations, including partwhole reasoning, as strategies to add and subtract rational numbers. 
Pennsylvania Core Standards:
CC.2.1.7.E.1

Apply and extend previous understandings of operations with fractions to operations with rational numbers. 
Pennsylvania Core Standards:
M07.AN.1.1.1

Apply properties of operations to add and subtract rational numbers, including realworld contexts. 
Pennsylvania Core Standards:
M07.AN.1.1.2

Represent addition and subtraction on a horizontal or vertical number line. 
Georgia Standards of Excellence (GSE):
7.NR.1.1

Show that a number and its opposite have a
sum of 0 (are additive inverses). Describe
situations in which opposite quantities
combine to make 0. 
Georgia Standards of Excellence (GSE):
7.NR.1.2

Show and explain p + q as the number
located a distance q from p, in the
positive or negative direction, depending on
whether q is positive or negative. Interpret
sums of rational numbers by describing
applicable situations. 
Georgia Standards of Excellence (GSE):
7.NR.1.3

Represent addition and subtraction with
rational numbers on a horizontal or a
vertical number line diagram to solve
authentic problems.

Georgia Standards of Excellence (GSE):
7.NR.1.4

Show and explain subtraction of rational
numbers as adding the additive inverse, p –
q = p + (–q). Show that the distance
between two rational numbers on the
number line is the absolute value of their
difference and apply this principle in
contextual situations. 
Georgia Standards of Excellence (GSE):
7.NR.1.5

Apply properties of operations, including
partwhole reasoning, as strategies to add
and subtract rational numbers. 
