6.EE.3 - About the Math, Learning Targets, and Increasing Rigor

Grade 5AGL Expressions and Equations

6.EE.3

Full Standard

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.

 

Learning Target (I can)

  • Explain why two or more expressions are equivalent using properties of operations.
  • Generate equivalent expressions using properties of operations.

 

About the Math

  • Explain why two or more expressions are equivalent using properties of operations.
  • Generate equivalent expressions using properties of operations.

Students use the distributive property to write equivalent expressions. Using their understanding of area models from elementary students illustrate the distributive property with variables. Properties are introduced throughout elementary grades (3.OA.5); however, there has not been an emphasis on recognizing and naming the property. In 6th grade students are able to use the properties and identify the properties by name as used when justifying solution methods. Students interpret y as referring to one y. Thus, they can reason that one y plus one y plus one y must be 3y. They also use the distributive property, the multiplicative identity property of 1, and the commutative property for multiplication to prove that y + y + y = 3y.

 

Essential vocabulary for this standard includes: numerical expressions, algebraic expressions, evaluate, sum, equivalent expressions, variables, and distributive property. 

 

 

Progression of Standard within Grade 6 (5 AGL)

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Explain why two or more expressions are equivalent using properties of operations.
  • Generate equivalent expressions using properties of operations.

 

 

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 5 Grade 7
  • Write simple expressions (5.OA.2)
  • Apply properties if operations to linear expressions (7.EE.1)

 

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