Vince sent this (probably final) draft out on Monday, Feb. 2.
Corrections are due back to him
in the next few days. A previous draft
is still available, including Bloom's Taxonomy.
INTERMEDIATE ALGEBRA OUTCOMES
COMPUTATIONAL
- Evaluate a function using function notation.
- Find the domain of a function.
- Perform elementary arithmetic operations with functions.
- Perform elementary arithmetic operations with rational expressions
that require the sum or difference of cubes.
- Simplify a complex fraction with negative exponents.
- Simplify an expression with fractional exponents.
- Simplify a radical containing a monomial or binomial denominator.
- Perform elementary arithmetic operations with complex numbers.
EQUATION SOLVING
- Solve an absolute value equation.
- Solve a system of 3 linear equations in 3 unknowns.
- Solve an equation with quadratic expressions in the denominator.
- Solve an equation with one radical.
- Determine whether a possible solution of an equation is extraneous.
- Solve a simple log equation by rewriting it in its equivalent
exponential form.
USING FORMS AND FORMULAS
- Graph a function, such as a simple absolute value or rational
function, by completing a table and plotting points.
- Find the equation of a line when given its slope and a point
on the line or any two points on the line.
- Find the equation of a line through a point that is parallel
or perpendicular to a given line.
- Solve a quadratic equation with non-real solutions.
- Find the midpoint and the distance between two points.
- Complete a square to rewrite an equation for a circle in standard
form and identify its center and radius.
- Determine if a formula, correspondence, table or graph represents
a function.
GRAPHING
- Graph a linear inequality on the cartesian plane.
- Graph a system of linear inequalities on the cartesian plane.
- Graph and analyze a linear and quadratic function.
- Sketch a quadratic function, written in the form
,
using transformations.
- Graph an exponential and log function by making a table of
ordered pairs.
- Sketch a circle from its standard form.
APPLICATIONS
- Represent English descriptions of numerical relationships
in algebraic form.
- Solve application problems including, but not limited to,
linear and quadratic models, direct and inverse variation, and
those requiring
and
systems of linear equations.
- 1) On Eq Solving, #5. Determine whether or not a solution
is extraneous. When I first read "Recognize, it took me a
minute to decide what we were talking about".
- 2) Eq Solving #6. Solve simple log equation by rewriting it
in its equivalent exponential form (That may not have been what
you meant - if not, fine)
- 3) ON Graphing #5. I wasn't sure what you intended: ...using
table of values. The table implied to me, maybe: "given a
table, graph the exp or log graph" Graph Exp and Log functions
by finding table of values?