Day 04 - Rational Exponents - 08.21.14

Bell Ringer

    1. 2 * square root of 6

    2. 6 * square root of 2

    3. 2 * square root of 12

    4. 12 * square root of 2

    5. none of the above

    1. 90

    2. 9

    3. 180

    4. 10 * square 81

    5. none of the above

    1. (3 / 10) * square root of 10

    2. square root of (18 / 20)

    3. square root of (9/ 10)

    4. 3 / 10

    5. none of the above

Review
  • Exponent Properties
    • Product of Powers
    • Power of a Power
    • Power of a Product
    • Quotient of Powers
    • Power of a Quotient
    • Zero Exponent
    • Negative Exponents
  • Radical Properties
    • Product of Square Roots
    • Quotient of Square Roots

Lesson

Exit Ticket

    1. 6 * square root of 2 * x3/2y2z5/2

    2. 3 * square root of 2 * x3/2y2z5/2

    3. -6 * square root of 2 * x3/2y2z5/2

    4. 6 * square root of 2 * x3/2y2z3/2

    1. (square root of 30) / 3

    2. 3

    3. 30

    4. 100

Lesson Objective(s)
  • How can radical expressions be simplified?

Standard(s)
  • N.RN.1  Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
  • N.RN.2  Rewrite expressions involving radicals and rational exponents using the properties of exponents.
  • A.CED.1 Create equations and inequalities in one variable and use them to solve problems.Include equations arising from linear and quadratic functions, and exponential functions.

Mathematical Practice(s)
  • #7: Look for and make use of structure
    • Students will see the relationship between radical and exponential notation.