© 2008 by MahometSeymour Schools.
All Rights Reserved.


MahometSeymour 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 HalfAngle 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
nonhomogeneous 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.

