-COURSE TITLE: Algebra II
COURSE DESCRIPTION: Algebra II reinforces and extends the skills developed in Algebra I. Concepts developed include linear functions, rational functions, quadratic functions, and complex numbers.
Prerequisite: Geometry and a grade of "C" or above in both semesters of Algebra I.
COURSE REQUIREMENTS/REQUIRED MATERIALS:
A. Textbook
B. A 3-ring binder, looseleaf, notebook
C. Pencils, erasers
D. Graphing calculator (TI 83 or TI84), scientific calculator
COURSE OBJECTIVE/STUDENT OUTCOMES:
A. Students will become familiar with solving and graphing
equations and inequalities.
Upon completing this goal the student will be able to
* use the order of operations to evaluate expressions
* use formulas
* determine the sets of numbers to which a number belongs
* use the properties of real numbers to simplify expressions
* solve equations using the properties of equality
* evaluate expressions using a graphing calculator
* use equations to solve problems
* solve problems by making lists
* solve absolute value equations
* solve an inequality and graph the solution set
* use inequalities to solve problems
* solve compound sentences using and/or
* solve absolute value inequalities and graph the solutions
B. Students will understand the concepts of linear relations and
functions.
Upon completing this goal students will be able to
* graph a relation, state its domain and range, and
determine if the relation is a function
* identify equations that are linear and graph them
* graph linear equations on a graphing calculator
* write linear equations in standard form
* solve a problem by identifying the pattern and using it
to find the missing information
* determine the slopes and intercepts of a line
* use the slopes and intercepts to graph a line
* determine if two lines are parallel,
perpendicular, or neither
* write the slope-intercept and standard form of an
equation given the slope and a point or two points
* write the equation of a line that is parallel or
perpendicular to the graph of a given equation
* draw a scatter plot and find the prediction equation
* solve problems using prediction equation
* graph lines of regression on a graphing calculator
* identify and graph special functions
* draw graphs of inequalities in two variables
* write an inequality to solve problems
C. Students will develop skills in solving and graphing systems
of equations.
Upon completing this goal the student will be able to
* graph and solve systems of equations on a
graphing calculator
* solve a system of equations by graphing
* use substitution and elimination to solve a
system of equations
* find the value of a second order determinant
* solve a systems of equations using Cramer's Rule
* graph and solve a system of inequalities
* solve a system of equations in three variables
D. Students will acquire an understanding of polynomials
Upon completing this goal the student will be able to:
* multiply monomials and powers of monomials
* represent numbers in scientific notation
* divide monomials
* divide expressions written in scientific notation
* solve problems using a diagram
* add, subtract, and multiply polynomials
* factor polynomials
* divide polynomials using factoring, long division, and
synthetic division
* add, subtract, multiply, and divide rational
polynomial expressions
E. Students will become familiar with all the operations of
irrational and complex numbers.
Upon completing this goal the student will be able to:
* simplify radicals having various indices
* use a calculator to estimate roots of numbers
* simplify radical expressions using
multiplication and division
* rationalize the denominator of a fraction containing
a radical expression
* add, subtract, multiply and divide radical expressions
* write expressions with rational exponents in simplest
radical form and vice versa
* evaluate expressions in either exponential
or radical form
* simplify expressions containing rational exponents
* solve equations containing radicals
* simplify radicals containing negative radicands
* multiply pure imaginary numbers
* solve quadratic equations that have pure
imaginary solutions
* add, subtract, multiply, and divide complex numbers
F. Students will develop skills in solving quadratic equations.
Upon completing this goal the student will be able to:
* solve quadratic equations by graphing, factoring, and
completing the square
* derive the quadratic formula and use it to
solve equations
* graph and solve quadratic equations on a
graphing calculator
* use the discriminate to determine the nature of the roots
of a quadratic equation
* find the sum and product of the roots of a quadratic
equation without solving it
* find all possible integral roots of a quadratic function
* find a quadratic equation to fit a given condition
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