Neft Teacher · Vocab Explorer

Unit 6 · Standard 6.AT.7

🔑 Generate Equivalent Expressions — Vocab Explorer

Lesson 6-8 · Learn the words, then practice them

① Word Wall

Look at the picture, read the meaning, and tap 🔊 to hear each word.

Illustration of Properties of Operations: Rules that let you reorder or regroup numbers without changing an expression's value.
Properties of Operations

ES Propiedades de las operaciones

Rules that let you reorder or regroup numbers without changing an expression's value.

Reglas que permiten reordenar o reagrupar números sin cambiar el valor de una expresión.

Illustration of Commutative Property: You can change the order and get the same answer.
Commutative Property

ES Propiedad conmutativa

You can change the order and get the same answer.

Puedes cambiar el orden y obtener la misma respuesta.

Illustration of Associative Property: You can change the grouping and get the same answer.
Associative Property

ES Propiedad asociativa

You can change the grouping and get the same answer.

Puedes cambiar la agrupación y obtener la misma respuesta.

Illustration of Identity Property: Adding 0 or multiplying by 1 keeps the same value.
Identity Property

ES Propiedad de identidad

Adding 0 or multiplying by 1 keeps the same value.

Sumar 0 o multiplicar por 1 mantiene el mismo valor.

Illustration of Property: A rule that is always true in math.
Property

ES Propiedad

A rule that is always true in math.

Una regla que siempre es verdadera en matemáticas.

Illustration of Distributive Property: Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac.
Distributive Property

ES Propiedad distributiva

Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac.

Multiplicar un número por todo lo que está dentro del paréntesis: a(b + c) = ab + ac.

Illustration of Equivalent expressions: Expressions that have the same value for every value of the variable.
Equivalent expressions

ES Expresiones equivalentes

Expressions that have the same value for every value of the variable.

Expresiones que tienen el mismo valor para todo valor de la variable.

Illustration of Expand: Multiply out an expression to remove the parentheses.
Expand

ES Desarrollar

Multiply out an expression to remove the parentheses.

Multiplicar una expresión para eliminar los paréntesis.

Illustration of Factor an expression: Pull a shared factor outside parentheses.
Factor an expression

ES Factorizar una expresión

Pull a shared factor outside parentheses.

Sacar un factor común fuera de los paréntesis.

② Match it

Tap a word, then tap its meaning.

③ Fill in the blank

Use the word bank to finish each sentence.

Word bank
Properties of OperationsCommutative PropertyAssociative PropertyIdentity PropertyPropertyDistributive PropertyEquivalent expressionsExpandFactor an expression
  1. 1Rules that let you reorder or regroup without changing the .
  2. 2The rule that order does not change a sum or product, like a + b = b + a, is the .
  3. 3The rule that grouping does not change a sum or product, like (a + b) + c = a + (b + c), is the .
  4. 4The rule that adding 0 or multiplying by 1 keeps a number the same is the .
  5. 5A rule that is always true in math is a .
  6. 6The rule that lets you multiply a number across a sum, like a(b + c) = a × b + a × c, is the .
  7. 7Expressions that always have the same value are .
  8. 8Writing 6(3x + 4) as 18x + 24 is called the expression.
  9. 9Writing 18x + 24 as 6(3x + 4) is called .

④ Use it in a sentence

Pick one word and finish the sentence in your own words.

A is .