
Algebra
II  Study Guide
Algebra
II Honors  Study Guide
Graphing Calculator



LA.910.1.6.1


The
student will use new vocabulary that is introduced and
taught directly.

LA.910.4.2.1


The
student will write in a variety of informational/expository
forms, including a variety of technical documents (e.g.
howtomanuals, procedures, assembly directions.

MA.912.A.1.6


Identify
the real and imaginary parts of complex numbers and
perform basic operations.

MA.912.A.2.5


Graph
absolute value equations and inequalities in two variables.

MA.912.A.2.6


Identify
and graph common functions (including but not limited
to linear, rational, quadratic, cubic, radical, absolute
value)

MA.912.A.2.7


Perform
operations (addition, subtraction, division, and multiplication)
of fractions algebraically, numerically, and graphically.

MA.912.A.2.8


Determine
the composition of functions.

MA.912.A.2.10


Describe
and graph transformation of functions.

MA.912.A.2.11


Solve
problems involving functions and their inverses.

MA.912.A.2.12


Solve
problems using direct, inverse, and joint variations.

MA.912.A.3.3


Solve
literal equations for a specified variable.

MA.912.A.3.6


Solve
and graph the solutions of absolute value equations
and inequalities with one variable.

MA.912.A.3.10


Write
an equation of a line given any of the following information:
two points on the line, its slope and one point on the
line, or its graph. Also, find an equation of
a new line parallel to a given line, or perpendicular
to a given line, through a given point on the new line.

MA.912.A.3.14


Solve
systems of linear equations and inequalities in two
and three variables using graphical, substitution, and
elmination methods.

MA.912.A.3.15


Solve
realworld problems involving systems of linear equations
and inequalities in two and three variables.

MA.912.A.4.3


Factor
polynomial expressions.

MA.912.A.4.4


Divide
polynomials by monomials and polynomials with various
techniques, including synthetic division.

MA.912.A.4.5


Graph
polynomial functions with and without technology and
describe end behavior.

MA.912.A.4.6


Use
theorems of polynomial behavior (including by not limited
to the Funcamental Theorem of Algebra, Remainder Theorem,
the Rational Root Theorem, Descartes' Rule of Signs,
and the Conjugate Root Theorem) to find the zeros of
a polynomial function.

MA.912.A.4.7


Write
a polynomial equation for a given set of real and/or
complex roots.

MA.912.A.4.8


Describe
the realtionships among the solutions of an equation,
the zeros of a function, the xintercepts of a graph,
and the factors of a polynomial expression with and
without technology.

MA.912.A.4.9


Use
graphing technology to find approximate solutions for
polynomial equations.

MA.912.A.4.10


Use
polynomial equations to solve realworld problems.

MA.912.A.5.2


Add,
subtract, multiply, and divide rational expressions.

MA.912.A.5.3


Simplify
complex fractions.

MA.912.A.5.5


Solve
rational equations.

MA.912.A.6.2


Add,
subtract, multiply, and divide radical expressions (square
roots and higher).
Radical Puzzle  self
checking



MA.912.A.6.3


Simplify
expressions using properties of rational exponents.

MA.912.A.6.4


Convert
between rational exponent and radical forms of expressions.

MA.912.A.6.5


Solve
equations that contain radical expressions.

MA.912.A.7.3


Solve
quadratic equations over the real numbers by completing
the square.

MA.912.A.7.4


Use
the discriminant to determine the nature of the roots
of a quadratic equation.

MA.912.A.7.5


Solve
quadratic equations over the complex number system.

MA.912.A.7.6


Identify
the axis of symmetry, vertex, domain, range and intercept(s)
for a given parabola.

MA.912.A.8.1


Define
exponential and logarithmic functions and determine
their relationship.

MA.912.A.8.2


Define
and use the properties of logarithms to simplify logarithmic
expressions and to find their approximate values.

MA.912.A.8.3


Graph
exponential and logarithmic functions.

MA.912.A.8.5


Solve
logarithmic and exponential equations.

MA.912.A.8.6


Use
the change of base formula.

MA.912.A.8.7


Solve
applications of exponential growth and decay.

MA.912.A.10.3


Decide
whether a given statement is always, sometimes, or never
true (statements involving linear or quadratic expressions,
equations, or inequalities, rational or radial expressions,
or logarithmic or exponential funtions).

MA.912.D.11.1


Define
arithmetic and geometric sequences and series.

MA.912.D.11.3


Find
specified terms of arithmetic and geometric sequences.

Options for End of Course Practice



EndofCourse Exam (EOC)
5/16  5/20

Copyright(c) 2010/2011 Beth Schultheis.
All rights reserved.
