|
|
© 2008 by Mahomet-Seymour Schools.
All Rights Reserved.
|
|
|
Mahomet-Seymour Schools
|
|
Curriculum
|
|
Mathematics - PreCalculus
|
|
The learner will be able to use the unit circle and
the wrapping function to determine the sine and cosine of special angle
measures.
|
|
The learner will be able to graph the six trig
functions.
|
|
The learner will be able to evaluate trigonometric
identities.
|
|
The learner will be able to expand the Sine, Cosine, and
Tangent Sum/Difference, Double Angle and Half-Angle Identities.
|
|
The learner will be able to solve triangles using the
Law of Sines and the Law of Cosines.
|
|
The learner will be able to solve conditional trigonometric
equations.
|
|
The learner will be able to change a complex number
to polar form and vice versa.
|
|
The learner will be able to multiply/divide numbers
in polar form.
|
|
The learner will be able to use DeMoivre's Theorem to
find the power and roots of complex numbers.
|
|
The learner will be able to convert from rectangular
to polar form and vice versa.
|
|
The learner will be able to graph equations in polar
coordinates.
|
|
The learner will be able to graph a circle, an
ellipse or a hyperbola with center at the origin.
|
|
The learner will be able to graph a parabola with
vertex at the origin.
|
|
The learner will be able to graph a circle, an
ellipse, or a hyperbola with the center translated to (h,k).
|
|
The learner will be able to graph a parabola with
vertex translated to (h, k).
|
|
The learner will be able to write an equation for a
conic, and graph it given information such as foci, vertices, and length of
major/minor axis.
|
|
The learner will be able to graph a conic by a
translation and/or a rotation.
|
|
The learner will be able to apply midpoint formula,
distance formula, and slope formula.
|
|
The learner will be able to find the distance in two dimensions
between a given point and a given line or in three dimensions between a
given point and a given plane.
|
|
The learner will be able to find the equations of
lines that are parallel to or perpendicular to a given line.
|
|
The learner will be able to graph a vector and find
the midpoint, magnitude, and slope.
|
|
The learner will be able to find the cross product
and dot product of two vectors in both two dimensions and three dimensions.
|
|
The learner will be able to find the equation of a
line in both two dimensions and three dimensions.
|
|
The learner will be able to find the measure of the
angle between two vectors.
|
|
The learner will be able to find the equation of a
plane given a point on the plane and a vector normal to the plane or given
three points on the plane.
|
|
The learner will be able to use synthetic
substitution to evaluate polynomial functions.
|
|
The learner will be able to apply the Remainder
Theorem, Factor Theorem, and Rational Root Theorem to find the factors and roots
of higher degree polynomials.
|
|
The learner will be able to graph rational functions.
|
|
The learner will be able to write a proof using Math
Induction.
|
|
The learner will be able to expand a binomial by applying
the Binomial Theorem.
|
|
The learner will be able to use the Binomial Theorem
to find the probability for tossing coins.
|
|
The learner will be able to find the probability for
both independent and dependent events.
|
|
The learner will be able to find the probability for
both mutually exclusive events and non mutually exclusive events.
|
|
The learner will be able to add/subtract/multiply
matrices when possible.
|
|
The learner will be able to calculate the inverse of
a matrix when it exists.
|
|
The learner will be able to use the augmented matrix
and elementary row manipulations to solve systems of equations.
|
|
The learner will be able to solve homogeneous and
non-homogeneous systems of equations.
|
|
The learner will be able to find the image of a
vector of line under translation or a rotation.
|
|
The learner will be able to find the composition of
two linear transformations.
|
|