6.EE.1 - About the Math, Learning Targets, and Increasing Rigor

Grade 5AGL Expressions and Equations

6.EE.1

Full Standard

Write and evaluate numerical expressions involving whole-number exponents.

 

Learning Targets (I can)

  • Determine order of operations.
  • Express quantities with exponents.
  • Write numerical expressions.
  • Evaluate numerical expressions.

 

About the Math

  • Determine order of operations.

The Order of Operations is a contrived agreement that mathematicians use for congruency. Students should first understand that agreement is needed as various results could be achieved without the agreement. For example, 4 + 7 x 8 could yield 60 (correctly) as 88 (incorrectly). Once students understand the need for common agreement, they should then acquire the order and then practice applying it. PEMDAS is a recognized acronym for order of operations. Again, understanding is needed. It may also be wise to introduce chunks of the order sequentially. That is, work with addition and subtraction before moving to expressions with all 4 operations, then to expressions with exponents, and so on. Note that students have likely had exposure to parenthesis in earlier grades due to their work with the distributive property.

  • Express quantities with exponents.

Exponents express the power to which a quantity is raised. Exponents identify how many times a number is multiplied by itself. They are useful in a variety of ways. Common uses included dimensions of squares and cubes as well as powers of ten. 

  • Write numerical expressions.

Situations can be represented with expressions. For example, Heather bought tickets that were $4 each. That can be expressed as 4x. Expressions can contain more than one operation. Moreover, quantities themselves can be represented with expressions. Students should be comfortable creating expressions for real-world situations as well as creating examples for a given expression.

  • Evaluate numerical expressions.

Expressions are evaluated when specific values are given for an unknown(s) in an expression. Students should understand and be able to articulate that the value of an expression can change based on the value of the unknown. 

 

Essential vocabulary for this standard includes: exponents, base, numerical expressions, algebraic expressions, and evaluate. Visit the online dictionary Links to an external site. or  visual math dictionary Links to an external site. for vocabulary support.

 

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
  • Determine order of operations.
  • Express quantities with exponents.
  • Write numerical expressions.
  • Evaluate numerical expressions.

 

 

 

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 8
  • Explain patterns of zero when multiplying and dividing by powers of ten.  Use exponents to denote powers of 10. (5.NBT.2)
  • Know and apply the properties of integer exponents to generate equivalent numerical expressions (8.EE.1)

 

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