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# INTERMEDIATE ALGEBRA

Chapter 7 QUADRATIC EQUATIONS AND FUNCTIONS
Section: 7.1 – 7.6

Outcomes: Upon completion of this unit, students will be able to solve quadratic equations and work application

Chapter 8 EXPONENTIAL AND LOGARITHMIC FUNCTIONS Section: 8.1 – 8.5

Outcomes:
The student will evaluate and graph exponential and logarithmic functions, evaluate using change of
base, find an inverse function, and use properties of exponents and logarithms to solve problems.

 A B C D F N Specific Competencies Demonstrate the ability to: *8.1 Form the composite function. *8.1 Determine whether or not a function is one-to-one. *8.1 Determine the inverse of a function defined by a map or ordered pair. *8.1 Obtain the graph of the inverse function from the graph of the function. *8.1 Find the inverse of a function defined by an equation. *8.2 Evaluate exponential expressions. *8.2 Graph exponential functions. *8.2 Define the number e. *8.2 Solve exponential equations. *8.2 Study exponential models that describe our world. *8.3 Change exponential expressions to logarithmic expressions. *8.3 Change logarithmic expressions to exponential expressions. *8.3 Evaluate logarithmic functions. *8.3 Determine the domain of a logarithmic function. *8.3 Graph logarithmic functions. *8.3 Work with natural and common logarithms. *8.3 Study logarithmic models that describe our world. *8.4 Understand the properties of logarithms. *8.4 Write a logarithmic expression as a sum or difference of logarithms. *8.4 Write a logarithmic expression as a single logarithm. *8.4 Evaluate logarithms whose base is neither 10 nor e. *8.5 Solve logarithmic equations using the properties of logarithms. *8.5 Solve exponential equations. *8.5 Solve equations involving exponential models.

Chapter 9 CONICS Section: 9.1 – 9.6

Outcomes: The student will graph and write equations for parabolas, circles, and ellipses and hyperbolas.

 A B C D F N Specific Competencies Demonstrate the ability to: 9.1 Use the distance formula. 9.1 Use the midpoint formula. *9.2 Write the standard form of the equation of a circle *9.2 Graph a circle. *9.2 Find the center and radius of a circle from an equation in general form. *9.3 Graph parabolas in which the vertex is the origin. *9.3 Find the equation of a parabola. *9.3 Graph parabolas in which the vertex is not the origin. *9.3 Solve applied problems involving parabolas. *9.4 Graph ellipses in which the center is the origin. *9.4 Find the equation of an ellipse in which the center is the origin. *9.4 Graph ellipses in which the center is not the origin. *9.4 Solve applied problems involving ellipses. *9.5 Graph hyperbolas in which the center is the origin. *9.5 Find the equation of a hyperbola in which the center is the origin. *9.5 Find the asymptotes of a hyperbola in which the center is the origin. *9.6 Solve a system of nonlinear equations using substitution. *9.6 Solve a system of nonlinear equations using elimination.

Chapter 10 SEQUENCES, SERIES, AND THE BINOMIAL THEOREM Section: 10.1 – 10.4

Outcomes:
The student will utilize notation of sequences, series, and summations; use induction and binomial
theorem; solve problems using counting principle and probability.

 A B C D F N Specific Competencies Demonstrate the ability to: *10.1 Write the first several terms of a sequence. *10.1 Find a formula for the nth term of a sequence. *10.1 Use summation notation. *10.2 Determine if a sequence is arithmetic. *10.2 Find a formula for the nth term of an arithmetic sequence. *10.2 Find the sum of an arithmetic sequence. *10.3 Determine if a sequence is geometric. *10.3 Find a formula for the nth term of a geometric sequence. *10.3 Find the sum of a geometric sequences and series. *10.3 Solve annuity problems. *10.4 Compute factorials. *10.4 Evaluate a binomial coefficient. *10.4 Expand a binomial.