a. 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.

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.

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.

d. Apply properties of operations as strategies to add and subtract rational numbers.

Title | Description | Thumbnail Image | Curriculum Topics |
---|---|---|---|

## VIDEO: Brief Review: Adding Integers |
## VIDEO: Brief Review: Adding IntegersWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Applications of Integers |
## VIDEO: Brief Review: Applications of IntegersWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Applications of Rational Numbers |
## VIDEO: Brief Review: Applications of Rational NumbersWatch this video about rational numbers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Comparing Integers |
## VIDEO: Brief Review: Comparing IntegersWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Dividing Rational Numbers |
## VIDEO: Brief Review: Dividing Rational NumbersWatch this video about rational numbers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Examples of Adding and Subtracting Integers |
## VIDEO: Brief Review: Examples of Adding and Subtracting IntegersWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Graphing Integers on a Number Line |
## VIDEO: Brief Review: Graphing Integers on a Number LineWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Integers |
## VIDEO: Brief Review: IntegersWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Multiplying Rational Numbers |
## VIDEO: Brief Review: Multiplying Rational NumbersWatch this video about rational numbers. (The transcript is included.) |
Numerical Expressions | |

## VIDEO: Brief Review: Subtracting Integers |
## VIDEO: Brief Review: Subtracting IntegersWatch this video about integers. (The transcript is included.) |
Numerical Expressions | |

## Closed Captioned Video: Algebra Tiles: Adding Integers Using Algebra Tiles |
## Closed Captioned Video: Algebra Tiles: Adding Integers Using Algebra TilesVideo Tutorial: Algebra Tiles: Adding Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to add integers using algebra tiles. |
Algebra Tiles--Expressions and Equations | |

## Closed Captioned Video: Algebra Tiles: Dividing Integers Using Algebra Tiles |
## Closed Captioned Video: Algebra Tiles: Dividing Integers Using Algebra TilesVideo Tutorial: Algebra Tiles: Dividing Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to divide integers using algebra tiles. |
Algebra Tiles--Expressions and Equations | |

## Closed Captioned Video: Algebra Tiles: Modeling Negative Integers Using Algebra Tiles |
## Closed Captioned Video: Algebra Tiles: Modeling Negative Integers Using Algebra TilesVideo Tutorial: Algebra Tiles: Modeling Negative Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model negative integers using algebra tiles. |
Algebra Tiles--Expressions and Equations | |

## Closed Captioned Video: Algebra Tiles: Modeling Positive Integers Using Algebra Tiles |
## Closed Captioned Video: Algebra Tiles: Modeling Positive Integers Using Algebra TilesVideo Tutorial: Algebra Tiles: Modeling Positive Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model positive integers using algebra tiles. |
Algebra Tiles--Expressions and Equations | |

## Closed Captioned Video: Algebra Tiles: Multiplying Integers Using Algebra Tiles |
## Closed Captioned Video: Algebra Tiles: Multiplying Integers Using Algebra TilesVideo Tutorial: Algebra Tiles: Multiplying Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to multiply integers using algebra tiles. |
Algebra Tiles--Expressions and Equations | |

## Closed Captioned Video: Algebra Tiles: Subtracting Integers Using Algebra Tiles |
## Closed Captioned Video: Algebra Tiles: Subtracting Integers Using Algebra TilesVideo Tutorial: Algebra Tiles: Subtracting Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to subtract integers using algebra tiles. |
Algebra Tiles--Expressions and Equations | |

## Closed Captioned Video: Integers: Adding Integers |
## Closed Captioned Video: Integers: Adding IntegersVideo Tutorial: Integers: Adding Integers. In this video students learn to add integers. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Comparing and Ordering Integers |
## Closed Captioned Video: Integers: Comparing and Ordering IntegersVideo Tutorial: Integers: Comparing and Ordering Integers. In this video students learn how to compare and order integers using various techniques. : Link Note: The download is an MP4 file. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Dividing Integers |
## Closed Captioned Video: Integers: Dividing IntegersVideo Tutorial: Integers: Dividing Integers. In this video students learn to divide integers. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Integers and Absolute Value |
## Closed Captioned Video: Integers: Integers and Absolute ValueVideo Tutorial: Integers: Integers and Absolute Value. In this video students continue their exploration of integers by investigating absolute value. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Integers and Exponents |
## Closed Captioned Video: Integers: Integers and ExponentsVideo Tutorial: Integers: Integers and Exponents. In this video, students explore the use of integers as exponents with different expressions. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Integers on a Number Line |
## Closed Captioned Video: Integers: Integers on a Number Line |
Numerical Expressions | |

## Closed Captioned Video: Integers: Integers on the Cartesian Coordinate System |
## Closed Captioned Video: Integers: Integers on the Cartesian Coordinate SystemVideo Tutorial: Integers on the Cartesian Coordinate System. In this video, students learn to graph integer-based coordinates on a Cartesian Coordinate plane. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Multiplying Integers |
## Closed Captioned Video: Integers: Multiplying IntegersVideo Tutorial: Integers: Multiplying Integers. In this video, students learn to multiply integers. |
Numerical Expressions | |

## Closed Captioned Video: Integers: Numerical Expressions with Integers |
## Closed Captioned Video: Integers: Numerical Expressions with IntegersVideo Tutorial: Integers: Numerical Expressions with Integers. In this video, students simplify various numerical expressions that use integers. |
Numerical Expressions |