Welcome to Precalculus, Gifted.
"A mind is a fire to be kindled, not a vessel to be filled." -- Plutarch
The initial goal of Precalculus, is to help students achieve a level of academic competence in elementary calculus skills. The secondary goal of Precalculus, is to help students achieve a level of academic competence in precalculus skills that will enable them to work successfully in college level courses.
The Big Ideas...
How do you find the limit of a function?
What are the rules of rewriting a function for easier limit understanding?
Can you list the limit rules?
Just a few of the objectives of Precalculus, are
The learner will evaluate his/her ability to use the order of operations and signed number principles in calculations.
TLW perform the fundamental operations on polynomial expressions skillfully and meaningfully.
TLW solve numerical equations, literal equations, first degree inequalities, and absolute value equations/inequalties.
TLW factor trinomials and other types of polynomials.
TLW graph linear equations with and without a graphing calculator.
TLW calculate the slope of a line given two points or given the graph of a line.
TLW demonstrate the ability to perform the fundamental operations of algebraic
expressions skillfully and meaningfully.
TLW discover the meanings of precision, accuracy, relative and absolute error value.
TLW solve numerical and literal equations.
TLW solve linear and quadratic equations and inequalities with one or more unknowns.
TLW manipulate exponents and radicals.
TLW perform the basic algebraic operations with functions, relations, and rational expressions.
TLW graph linear equations, linear inequalities, and parabolas with and without graphing calculators.
TLW solve systems of linear equations and inequalities.
TLW compare and contrast arithmetic and geometric sequences.
TLW create graphs of rational functions, noting critical points and extrema, end behavior, and asymptotes.
TLW find the limit of functions.
TLW explain how to find derivatives with many hits on tangent lines.
TLW solve antiderivatives to find the area under the given curve, or between given curves.
Topics of Study:
technological skills used to solve problems
rational expressions
linear equations and inequalities
exponents, roots, radicals, and complex numbers
quadratic equations and inequalities
functions, relations, and their graphs
systems of linear equations and inequalities
graphs of linear equations and quadratic equations
rational functions, critical pints, extrema, end behavior
limits, derivatives, antiderivatives, area under curve
See the Contact Me link on the left navigational tool bar to find teacher expectations.
Supplies:
journal
loose leaf paper
pencils
erasers
scissors
graph paper
markers or colored pencils
a scientific calculator will be provided (TI84 TI NSPIRE :)
Students will be picked to supply one of the following: paper towels, kleenex, and hand sanitizer
Tests are to be made up in the make up center three days after absence, or student will acquire a zero.