The content of this lesson will satisfy the following standards:
AII.P.4 Demonstrate an understanding of the exponential and logarithmic functions.
AII.P.8 Solve a variety of equations and inequalities using algebraic, graphical, and numerical methods, including the quadratic formula; use technology where appropriate. Include polynomial, exponential, and logarithmic functions; expressions involving the absolute values; and simple rational expressions. (12.P.8)
AII.P.11 Solve everyday problems that can be modeled using polynomial, rational,
exponential, logarithmic, and step functions, absolute values and square roots.
Apply appropriate graphical, tabular, or symbolic methods to the solution.
Include growth and decay; logistic growth; joint (e.g., I = Prt, y = k(w1 + w2)),
and combined (F = G(m1m2)/d2) variation. (12.P.11)
10.P.1 Describe, complete, extend, analyze, generalize, and create a wide variety of patterns, including iterative, recursive (e.g., Fibonacci Numbers), linear, quadratic, and exponential functional relationships.
10.P.7 Solve everyday problems that can be modeled using linear, reciprocal, quadratic, or exponential functions. Apply appropriate tabular, graphical, or symbolic methods to the solution. Include compound interest, and direct and inverse variation problems. Use technology when appropriate.