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7-N-2-4

Page history last edited by Tashe Harris 6 years, 2 months ago

7.N.2.4 Raise integers to positive integer exponents.

In a Nutshell

When raising a base to an exponent, n, the base is multiplied by itself n times. Positive bases will always result in positive solutions. Negative bases result in a positive solution when the exponent is even and a negative solution when the exponent is odd.

Student Actions	Teacher Actions
Develop the ability to generalize by extending properties of exponents with whole number bases to find how they relate to integer bases. Develop an accurate and appropriate procedural fluency for solving exponents. Develop a deep and flexible conceptual understanding of exponents by describing how integer rules relate to exponents.	Use evidence of student thinking to assess progress toward mathematical understanding of evaluating expressions with exponents. Implement tasks that promote exponential reasoning. Build procedural fluency of exponents by allowing students to solve problems utilizing a variety of representations of exponents. Pose purposeful questions to students about how integer rules apply to exponents.
Key Understandings	Misconceptions
The base is the number being multiplied. The exponent is how many times the base is multiplied by itself. Positive bases always result in positive solutions. Negative bases result in positive solutions when the exponent is even and negative solutions when the exponent is odd.	Students may believe that the correct way to evaluate exponents is to multiply the base by the exponent (i.e. 3^2 = 3 x 2 = 6). Students may think that exponents distribute (i.e. (3 + 5)^2 = 3^2 + 5^2). Methods used to input exponents in the calculator may result in differing answers depending on the calculator.