Exponentials & Logarithms - Financial Planning

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This is a lesson that was designed for learning and understanding exponential equations. This lesson will go detail information, notes, and task to gain an understanding in Advanced Algebra/ Algebra 2 lesson. 

The GSE standards will be used for this lesson focusing on the Exponential and Logarithmic Lesson. 

The focused standards are as follows: 

Write expressions in equivalent forms to solve problems
MGSE9-12.A.SSE.3 Choose and produce an equivalent form
of an expression to reveal and explain properties of the
quantity represented by the expression.
MGSE9-12.A.SSE.3c Use the properties of exponents to
transform expressions for exponential functions.

Analyze functions using different representations
MGSE9-12.F.IF.7 Graph functions expressed algebraically
and show key features of the graph both by hand and by using
technology.
MGSE9-12.F.IF.7e Graph exponential and logarithmic
functions, showing intercepts and end behavior, and
trigonometric functions, showing period, midline, and
amplitude.
MGSE9-12.F.IF.8 Write a function defined by an expression
in different but equivalent forms to reveal and explain different
properties of the function.
MGSE9-12.F.IF.8b Use the properties of exponents to
interpret expressions for exponential functions.

Build new functions from existing functions
MGSE9-12.F.BF.5 Understand the inverse relationship
between exponents and logarithms and use this relationship to
solve problems involving logarithms and exponents.
Construct and compare linear, quadratic, and exponential
models and solve problems
MGSE9-12.F.LE.4 For exponential models, express as a
logarithm the solution to ab(ct) = d where a, c, and d are
numbers and the base b is 2, 10, or e; evaluate the logarithm
using technology