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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 - K-12 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 Career-Readiness 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 real-world 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 real-world 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 real-world 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 - K-12 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 Career-Readiness 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 real-world 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 real-world 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 real-world contexts (e.g., the distance between -5 and 6 is 11. -5 and 6 are 11 units apart on the number line)

Arizona - K-12 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 Career-Readiness Standards: 7.NS.1c

North Carolina - Standard Course of Study: 7.NS.1.c

Understand subtraction of rational numbers as adding the additive inverse, pq = 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 real-world 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 real-world contexts.

Arizona - K-12 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 Career-Readiness 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 part-whole 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.A-N.1.1.1

Apply properties of operations to add and subtract rational numbers, including real-world contexts.

Pennsylvania Core Standards: M07.A-N.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 part-whole reasoning, as strategies to add and subtract rational numbers.

7th Grade Math - Understanding Operations - Add/Subtract Lesson
 


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