7.NS.A.1

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- 7.NS.A.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
- 7.NS.A.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- 7.NS.A.3Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

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7.NS.A.1b

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- 7.NS.A.1aDescribe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
- 7.NS.A.1bUnderstand 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.
- 7.NS.A.1cUnderstand 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.
- 7.NS.A.1dApply properties of operations as strategies to add and subtract rational numbers.

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## 7.NS.A.1b

## 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.

5 Lesson(s)

### Where Do We Go From Here? Adding Integers on the Number Line

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### What is the Sign of the Sum?

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### Adding Integers Test

7th Grade Math »
Unit: Operations with Rational Numbers

7th Grade Math »
Unit: Operations with Rational Numbers

### Make Zero Rummy

8th Grade Math »
Unit: Solving Linear Equations in One Variable

8th Grade Math »
Unit: Solving Linear Equations in One Variable

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HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

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First Grade

Second Grade

Third Grade

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Fifth Grade

Sixth Grade

Seventh Grade

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Ninth and Tenth Grade

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First grade

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