Chapter 4 EXP ONENTIAL AND
LOGARITHMIC FUNCTIONS Section: 4.1 – 4.5
Outcomes: The student will learn the basic properties and graphs of
exponential and logarithmic functions. |
| A |
B |
C |
D |
F |
N |
|
Specific Competencies
Demonstrate the ability to: |
|
|
|
|
|
|
4.1 |
Evaluate exponential functions. |
|
|
|
|
|
|
4.1 |
Graph exponential functions. |
|
|
|
|
|
|
4.1 |
Evaluate functions with base e. |
|
|
|
|
|
|
4.1 |
Use compound interest formulas. |
|
|
|
|
|
|
4.2 |
Change from logarithmic to
exponential form. |
|
|
|
|
|
|
4.2 |
Change from exponential to
logarithmic form. |
|
|
|
|
|
|
4.2 |
Evaluate logarithms. |
|
|
|
|
|
|
4.2 |
Use basic logarithmic functions. |
|
|
|
|
|
|
4.2 |
Graph logarithmic functions |
|
|
|
|
|
|
4.2 |
Find the domain of a logarithmic
function. |
|
|
|
|
|
|
4.2 |
Use common logarithms . |
|
|
|
|
|
|
4.2 |
Use natural logarithms. |
|
|
|
|
|
|
4.3 |
Use the product rule of logarithms. |
|
|
|
|
|
|
4.3 |
Use the quotient rule of logarithms. |
|
|
|
|
|
|
4.3 |
Use the power rule of logarithms. |
|
|
|
|
|
|
4.3 |
Expand logarithmic expressions . |
|
|
|
|
|
|
4.3 |
Condense logarithmic
expressions. |
|
|
|
|
|
|
4.3 |
Use the change-of-base property. |
|
|
|
|
|
|
4.4 |
Use like bases to solve
exponential equations. |
|
|
|
|
|
|
4.4 |
Use logarithms to solve
exponential equations. |
|
|
|
|
|
|
4.4 |
Use the definition of a logarithm
to solve logarithmic equations. |
|
|
|
|
|
|
4.4 |
Use the one-to-one property of
logarithms to solve logarithmic equations. |
|
|
|
|
|
|
4.4 |
Solve applied problems involving
exponential and logarithmic equations. |
|
|
|
|
|
|
4.5 |
Model exponential growth and decay. |
|
|
|
|
|
|
4.5 |
Use logistic growth models. |
|
|
|
|
|
|
*4.5 |
Model data with exponential and
logarithmic functions. |
|
|
|
|
|
|
*4.5 |
Ex press an exponential model in base
e. |
Chapter 5 SYSTEMS OF EQUATIONS AND
INEQUALITIES Section: 5.1 – 5.6
Outcomes: The student will solve simple linear system s using algebraic
substitution , addition, and elimination
methods . |
| A |
B |
C |
D |
F |
N |
|
Specific Competencies
Demonstrate the ability to: |
|
|
|
|
|
|
5.1 |
Decide whether an ordered pair is a
solution of a linear system. |
|
|
|
|
|
|
5.1 |
Solve linear systems by
substitution . |
|
|
|
|
|
|
5.1 |
Solve linear systems by addition . |
|
|
|
|
|
|
5.1 |
Identify systems that do not have
exactly one ordered-pair solution. |
|
|
|
|
|
|
5.1 |
Solve problems using systems of
linear equations. |
|
|
|
|
|
|
5.2 |
Verify the solution of system of
linear equations in three variables. |
|
|
|
|
|
|
5.2 |
Solve systems of linear equations
in three variables. |
|
|
|
|
|
|
5.2 |
Solve problems using systems in three
variables. |
|
|
|
|
|
|
*5.3 |
Decompose P/Q where Q has only
distinct linear factors . |
|
|
|
|
|
|
*5.3 |
Decompose P/Q where Q has repeated
linear factors. |
|
|
|
|
|
|
*5.3 |
Decompose P/Q where Q has a
nonrepeated prime quadratic factor. |
|
|
|
|
|
|
*5.3 |
Decompose P/Q where Q has a prime,
repeated quadratic factor. |
|
|
|
|
|
|
5.4 |
Recognize systems of nonlinear
equations in two variables. |
|
|
|
|
|
|
5.4 |
Solve nonlinear systems by
substitution. |
|
|
|
|
|
|
5.4 |
Solve nonlinear systems by
addition. |
|
|
|
|
|
|
*5.4 |
Solve problems using systems of
nonlinear equations. |
|
|
|
|
|
|
5.5 |
Graph a linear inequality in two
variables. |
|
|
|
|
|
|
5.5 |
Graph a nonlinear inequality in
two variables. |
|
|
|
|
|
|
5.5 |
Graph a system of inequalities. |
|
|
|
|
|
|
*5.5 |
Solve applied problems involving
systems of inequalities. |
|
|
|
|
|
|
*5.6 |
Write an objective function
describing a quantity that must be maximized or minimized. |
|
|
|
|
|
|
*5.6 |
Use inequalities to describe
limitations in a situation. |
|
|
|
|
|
|
*5.6 |
Use linear programming to solve
problems. |
