6.EE.3 – Apply the properties of operations to generate equivalent expressions. *For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.*

**Internet Resources (Videos, Websites, etc.)**

Khan Academy

Learn Zillion

- Write equivalent expressions using the Additive Identity Property of Zero and the Multiplicative Identity Property of One
- Write equivalent expressions using the Additive Inverse Property
- Write equivalent expressions using the Distributive Property of Multiplication over Addition
- Write equivalent expressions using the Multiplicative Inverse Property
- Write equivalent expressions using distributive property

NCTM Illuminations

- Algebra in Balance
- Balancing Shapes
- Calculation Nation
- Everything Balances Out in the End
- Real Estate Tycoon

- Add and subtract integers: Properties of addition (Sixth grade – I.3)
- Multiplication: Properties of multiplication (Sixth grade – K.9)
- Properties: Simplify variable expressions using properties (Seventh grade – Y.3)

Shodor

Texas Instruments

Math Nspired: Distributive Property Investigate the concept of algebraic distribution of multiplication over addition using numbers. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Math Nspired: Equivalent or Not Equivalent? Introduce the idea of equivalent expressions in the context of three critical operations. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Math Nspired: Exploring Expressions Substitute values for variables and evaluate expressions. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Math Nspired: From Expressions to Equations Substitute values for variables, evaluate expressions, and solve equations. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Math Nspired: The Distributive Property This lesson involves using the graphs of two lines to create equivalent expressions. Product: TI-Nspire(TM), TI-Nspire(TM) CAS |

Math Nspired: Variables and Expressions Change the value of x on a number line and see the effect on an algebraic expression. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Math Nspired: Variables on Both Sides Understand the number of possible solutions to equations that have variables on both sides. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Math Nspired: Visualizing Equations Deepen understand of solving linear equations by maintaining balance. Device: TI-Nspire(TM) CAS, TI-Nspire(TM) |

Utah Public Schools

XP Math Game

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