Standard: 6.EE.3

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 6th Grade

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.

Standard: 6.EE.4

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 6th Grade

Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

Standard: 8.EE.1

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 8th Grade

Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² * 3^-5 = 3^-3=1 / 3³ – 1 / 27.