High School Mathematics
Algebra I, Part 1 - 8th, 9th, & 10th grades
Algebra I, Part 2 - 8th, 9th, & 10th grades
Geometry - 9th, 10th, & 11th grades
Algebra II, Part 1 - 10th, 11th, & 12th grades
Algebra II, Part 2 - 10th, 11th, & 12th grades
Trigonometry - 11th & 12th grades
Calculus I - 12th grade
Calculus II - 12th grade
Algebra I, Part 1
Topic areas include algebraic expressions and equations,
writing numbers in exponential form, using standard and
scientific calculators, integers, absolute values, review of
additive identity, like terms, using reciprocals to solve
problems, evaluating expressions using order of operations,
inverse operations, eliminating fractions, identification of the
x and y axes, linear equations, graphing with constants, rules
of exponents, binomials, trinomials, using the FOIL method,
factoring out monomials, trinomial squares, and quadratic
equations. Contains one review test and one comprehensive
exam.
Algebra I, Part 2
Continuing coursework from the Algebra I, Part 1 title that
covers finding solutions of linear systems of equations by
graphing, eliminating variables, motion problems, using
negative one as a factor, identifying the least common
multiple of expressions, ratio and proportion, using
inequalities to solve problems, equations with absolute
values, irrational numbers, radical expressions, finding the
value of a function, using vertex and axis of symmetry or the
T-table, problem solving involving joint and combined
variation, and identifying and evaluating the discriminant of a
quadratic equation.
Geometry
Introduces basic geometric terms commonly used and also
covers geometric concepts including angles, perpendicular
and parallel lines, rays and transversals, measuring line
segments, lines, segments, sides and vertices of angles,
acute, obtuse, and right angles, parallel and skew lines,
acute, obtuse, and right triangles, calculating perimeter,
volume and area of trapezoids, polygons, proportional ratios,
pyramids, cones, spheres, chords, circumference, tangents,
and angle measurement. Contains three review lessons and
one comprehensive exam.
Algebra II, Part 1
Topic areas include review of the real number system
including rational numbers, rules for combining and
multiplying real numbers, order of operations, connecting
words and numbers through expressions, developing a plan
to solve a problem, combining like terms, definition and
examples of ordered pairs, grids, quadrants, abscissa,
defining linear equations, graphing equation systems,
three-variable equations, matrix multiplication,
transformation, point and matrix transformations, polynomial
types, zero as an exponent, finding higher variables,
factoring numerators, and solving complex rationals.
Algebra II, Part 2
Continuing coursework from the Algebra II, Part 1 title that
covers review of square roots, radicals, complex pure and
imaginary numbers, solving and factoring, identifying and
evaluating the discriminant of a quadratic equation, rewriting
equations, solving problems with number lines, graphing
parabola, circle parts and formulas, hyperbola, graphing
quadratic relations and inequalities, inverse functions,
compound interest problems, sequences of numbers,
identification of sigma, examples and definition of common
ratios, finite series, and solving factorial problems.
Trigonometry
Covers angles, angle terminology, reference angles,
definition of sine, cosine, and tangent, definition and value of
secant, cosecant, and cotangent, calculating sides of right
triangles, using trig to solve real world problems, the Law of
Sines and Cosines, symmetry identities, verifying
trigonometric identities, sum and difference for sine, cosine,
and tangent, using cofunction identities, graphing trig
functions, principal values, arclength, area of circular
sectors, simple harmonic motion, and frequency. Contains
four review tests and one comprehensive exam.
Calculus I
High school level course with topic areas covering calculating
x-values and corresponding values, limits, notation,
continuous functions, asymptotes, negative and positive
infinities, graphing tangents, secants, and cosecants,
derivatives, Liebniz notation, constant functions and
derivatives, functions that are products, the derivative as a
reciprocal of sine, acceleration as a derivative of velocity,
maximum and minimum values of given functions at closed
intervals, sign graphs, using related rates to determine the
volume of cones, determining graphing data, antiderivatives
with negative exponents. Contains three review lessons and
one comprehensive exam.
Calculus II
Continuing coursework from the Calculus I title. Topic areas
include notations of integrals, the fundamental theorem of
calculus, indefinite integrals and antiderivatives, integration
by substitution, natural logarithms, points of intersection for
regions of graphs, applications of the integral including
volumes of rotation about the axes, arclength, surface area
and work, hydrostatic force, inverse functions including
natural exponent functions, exponential and logarithmic
functions of other bases, exponential growth and decay, and
inverse trigonometric functions. Contains three review
lessons and one comprehensive exam.
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