## Correlation to Michigan Algebra 1 Standards Section 13 Exponents and Exponential Systems

Lessons: Properties of Exponents, Product Property - Multiplying Polynomials, Power of a Power Property, Power of a Product Property, Combining the Multiplication Properties, Power of a Fraction Property, Quotient Property of Exponents (positive exponents), Quotient Property of Exponents (positive and negative)
A1.1.2
Know the properties of exponents and roots and apply them in algebraic expressions.
L2.1.2 Calculate fluently with numerical expressions involving exponents. Use the rules of exponents, and evaluate numerical expressions involving rational and negative exponents, and transition easily between roots and exponents.

Lesson: Zero and Negative Exponents
L1.1.4
Describe the reasons for the different effects of multiplication by, or exponentiation of, a positive number by a number less than 0, a number between 0 and 1, and a number greater than 1.
A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.
L2.1.2 Calculate fluently with numerical expressions involving exponents. Use the rules of exponents, and evaluate numerical expressions involving rational and negative exponents, and transition easily between roots and exponents.

Lesson: Arithmetic and Geometric Sequences prerequisite for recursive exponential
A3.2.4
Understand and use the fact that the base of an exponential function determines whether the function increases or decreases and how base affects the rate of growth or decay.

Lesson: Recursive Linear Functions
A2.1.5
Recognize that functions may be defined recursively. Compute values of and graph simple recursively defined functions.

Lesson: Exponential Recursive Functions (Sets the stage for exponential functions)
A2.1.5
Recognize that functions may be defined recursively. Compute values of and graph simple recursively defined functions.

Lesson: Equations to Model Exponential Recursive Calculations (Introduces Exponential Functions)
A3.2.1
Write the symbolic form and sketch the graph of an exponential function given appropriate information.
A3.2.4 Understand and use the fact that the base of an exponential function determines whether the function increases or decreases and how base affects the rate of growth or decay.
A3.2.5 Relate exponential and functions to real phenomena, including half-life and doubling time.