MA19.7A.14

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.14

Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions. [Grade 8, 3]

Unpacked Content

Knowledge

Students know:
  • That whole number exponents indicate repeated multiplication of the base number and that these exponents indicate the actual number of factors being produced.

Skills

Students are able to:
  • Develop integer exponent operations in order to generate equivalent expressions through addition, multiplication, division and raising a power by another power with expressions containing integer exponents.

Understanding

Students understand that:
  • Just as whole number exponents represent repeated multiplication, negative integer exponents represent repeated division by the base number.
  • The exponent can be translated (visually. i.e. listing out the factors) to represent the exact number of factors being repeated so that the use of integer exponent operations ("rules") can be proven/make sense.

Vocabulary

  • Integer Exponent

Aligned Learning Resources

The Power of Exponents
Exponents
Giantburgers
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