| Standard |
Description of Standard |
| AII.1.0 |
Students solve equations and inequalities
involving absolute value. |
| AII.2.0 |
Students solve systems of linear equations and
inequalities (in two or three variables) by
substitution, with graphs, or with matrices |
| AII.3.0 |
Students are adept at ope rations on polynomials ,
including long division. |
| AII.4.0 |
Students factor polynomials representing the the
difference of squares , perfect square
trinomials , and the sum and difference of two cubes. |
| AII.5.0 |
Students demonstrate knowledge of how real and
complex numbers are related both
arithmetically and graphically. In particular, they can plot complex
numbers as points in the
plane. |
| AII.6.0 |
Students add, subtract, multiply, and divide
complex numbers. |
| AII.7.0 |
Students add, subtract, multiply, divide, reduce ,
and evaluate rational expressions with monomial
and polynomial denominators and simplify complicated rational
expressions, including those with
negative exponents in the denominator |
| AII.8.0 |
Students solve and graph quadratic equations by
factaoring, completing the square, or using the
quadratic formula. Students apply these techniques in solving word
problems. They also solve
quadratic equations in the complex number system. |
| AII.9.0 |
Students demonstrate and explain the effect that
changing a coefficient has on the graph of
quadratic functions; that is, students can determine how the graph of a
parabola changes as a ,
b , and c vary in the equation y = a (x-b )2 + c |
| AII.10.0 |
Students graph quadratic functions and determine
the maxima, minima, and zeros of the
function . |
| AII.12.0 |
Students know the laws of fractional exponents ,
understand exponential functions, and use
these functions in problems involving exponential growth and decay. |
| AII.15.0* |
Stuetns determine whether a specific algebraic
statement involving rational expressions, radical
expressions, or logarithmic or exponential functions is sometimes true,
always true, or never
true. *If NOT about logarithms. |
| AII.16.0 |
Students demonstrate and explain how the geometry
of the graph of a conic section (e.g.,
asymptotes, foci, eccentricity) depends on the coefficients of the
quadratic equation representing
it. |
| AII.17.0 |
Give a quadratic equation of the form ax 2 + by
2 + cx + dy + e = 0, students can use the method
for completing the square to put the equation into standard form and can
recognize whether the
graph of the equation is a circle, an ellipse, a parabold, or a
hyperbola . Students can then graph
the equation. |
| AII.18.0 |
Students use fundamental counting principles to
compute combinations and permutations. |
| AII.20.0 |
Students know the binomial theoreum and use it to
expand binomial expressions that are raised
to positive integer powers. |
| AII.22.0 |
Students find the general term and the sums of
arithmetic series and of both finite and infinite
geometric series. |
| AII.24.0 |
Students solve problems involving functional
concepts, such as composition, defining the inverse
function and performing arithmetic operations on functions. |
| AII.25.0 |
Students use properties from number systems to
justify steps in combining and simplifying
functions. |
