Michigan Algebra I Sept. 2012

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.

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.

A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.

A1.2.6 Solve power equations and equations including radical expressions, justify steps in the solution, and explain how extraneous solutions may arise.

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 the base affects the rate of growth or decay.

A3.2.5 Relate exponential functions to real phenomena, including half-life and doubling time.

A3.4.1 Write the symbolic form and sketch the graph of power functions.

A3.4.2 Express directly and inversely proportional relationships as functions and recognize their characteristics.

A3.4.3 Analyze the graphs of power functions, noting reflectional or rotational symmetry.