Day 02 - Exponent Properties - 08.19.14

Bell Ringer
  • What is each expression written using exponents?
    1. 32

    2. 24

    3. 25

    4. none of the above

    1. 4x

    2. 3x

    3. x3

    4. x4

    1. 2x3y

    2. x2y3

    3. x3y2

    4. none of the above

    1. (2a3c) / (2b3d)

    2. (a2c3) / (b2d3)

    3. (a2c2) / (b2d3)

    4. none of the above

    1. 1 / 3

    2. 3

    3. u / (3v)

    4. none of the above

Review
  • Go over Bell Ringer

Lesson
  • Exponent Properties
    • Product of Powers
    • Power of a Power
    • Power of a Product
    • Quotient of Powers
    • Power of a Quotient
    • Zero Exponent
    • Negative Exponents

Exit Ticket

    1. -3a3b18

    2. -28a3b18

    3. 28a3b9

    4. -28a3b9

    1. pambn

    2. ampbnp

    3. am+pbn+p

    4. none of the above

    1. -2xy8

    2. 2x2y8y6

    3. -2x2y14

    4. none of the above

    1. t2s

    2. t2

    3. t

    4. none of the above

    1. c5 / 7a6

    2. -c5 / 7a6

    3. -c-5 / 7a6

    4. none of the above
Lesson Objectives
  • How can exponent properties be applied to solve exponent problems?

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)
  • #2: Reason abstractly and quantitatively.
    • Students will use concrete examples of numerical manipulation to examine closure of rational and irrational numbers. For example, students will use numeric examples of sums and products of rational numbers to generalize the closure of rational numbers under addition and multiplication.
  • #8: Look for and express regularity in repeated reasoning.
    • Students will see that they are using the same processes for rational exponents as they used previously with integer exponents.