6.MATH.7.A

Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization.

Grade 6 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
equivalent numerical expressionsorder of operationswhole number exponentsprime factorization
Skills
  • generate (equivalent numerical expressions using order of operations) #dok2
  • generate (equivalent numerical expressions using whole number exponents) #dok2
  • generate (equivalent numerical expressions using prime factorization) #dok2
Learning Targets
  • I can follow the order of operations with whole numbers to simplify expressions. #dok1
  • I can identify and use whole number exponents in numerical expressions. #dok1
  • I can find the prime factorization of a whole number. #dok1
  • I can generate equivalent expressions by applying the order of operations. #dok2
  • I can generate equivalent numerical expressions using whole number exponents. #dok2
  • I can rewrite numbers and expressions using their prime factorization. #dok2
  • I can explain how different representations (exponents, prime factorization) show equivalence in expressions. #dok3
  • I can justify that two numerical expressions are equivalent by showing each transformation step. #dok3
Big Ideas
  • Numerical expressions can be written in various forms that are mathematically equivalent by applying rules such as order of operations, properties of exponents, and prime factorization.
  • Understanding how to generate and recognize equivalent numerical expressions helps build foundational algebraic thinking.
Essential Questions
  • How can you use the order of operations to generate equivalent numerical expressions?
  • What does it mean for two numerical expressions to be equivalent?
  • How does prime factorization help in creating and understanding equivalent expressions?
  • In what ways do whole number exponents change or simplify a numerical expression?
  • Why is it important to recognize and generate equivalent forms of numerical expressions?