Essential Understandings

Students will understand that…
  • there is a pattern in exponents, including negative exponents and zero exponents
  • exponents are repeated multiplication
  • anything raised to the 0 power is 1
  • when you increase an exponent you multiply by the base, and when you decrease an exponent you divide by the base
  • when multiplying expressions with the same base you add the exponents
  • when raising a power to a power you multiply exponents
  • when dividing expressions with the same base you subtract the exponents
  • scientific notation is an efficient way to express very large and very small numbers in the real world
  • you convert numbers into and out of scientific notation using powers of 10
  • you can use the power of 10 to compare the size of numbers written in scientific notation
  • exponent rules still apply when performing operations in scientific notation

Essential Vocabulary

  • Base
  • Dividing Powers with the Same Base
  • Exponent
  • Exponential Form
  • Irrational Numbers
  • Laws of Exponents
  • Multiplication Property of Exponents
  • Negative Exponent
  • Perfect Cube
  • Perfect Square
  • Power
  • Raising a Power to a Power
  • Raising a Product to a Power
  • Raising a Quotient to a Power
  • Rational Numbers
  • Reciprocal
  • Scientific Notation
  • Standard Form (Decimal Form)
  • Zero Exponent

Essential Questions

  • How do you know if an expression involving exponents is simplified?
  • How do the laws of exponents help you to simplify expressions?
  • Why do we use scientific notation?
  • What are real world situations where you would use scientific notation?
  • How can you use your understanding of exponents to compare and order numbers in scientific notation?
  • How can you use your understanding of exponents to perform operations with numbers in scientific notation?

CCM6+7+ Unit 14 Packet Linked

Vertical Alignment

  • In 5th grade students use whole number exponents to denote powers of 10.
  • In CCM6+/7+, Unit 1, students simplified expressions with whole number, positive exponents.
  • In CCM6+/7+, Unit 2, students raise fractions to whole number exponents.
  • In CCM6+/7+, Unit 4, students solved simple equations involving square and cube roots.
  • In 8th grade students solve equations containing exponents
  • In CCMI students solve expressions with fractional exponents. (with a numerator of 1)
  • In CCMI students solve, graph and interpret exponential and quadratic functions.
  • In CCMI students add, subtract, multiply and factor polynomials.
  • To determine additional ways to support and enrich student learning, please access the K-12 progression here - Turn on CC Math