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Mathematics I
Introduction to mathematical concepts. Covers numbers and counting, ordering
numbers, ordinal numbers, addition readiness, vertical addition, number
sense, vertical subtraction, fact families, story problems, addition sentences,
subtraction sentences, identifying the operation needed to solve a problem,
ordering numbers, telling time, three dimensional figures, symmetry, and
fractions. Seven review tests and one comprehensive test round out the
lesson content.
Mathematics II
Strengthens mathematical skills in the areas of numbers and counting,
odds and evens, money and money strategy, graphing, addition and subtraction,
using a calculator, measurement, estimating. Reviews reading time on digital
or analog clocks, addition and subtraction story problems, problem solving
strategies,logic,fractions,and ordered pairs.Seven review tests and one
comprehensive test round out the lesson content.
Mathematics III
Covers addition and subtraction, counting bills and coins, using a number
line, using mental math, bar graphs, estimating differences, estimating
and measuring time, mass, reading temperatures in Celsius and Fahrenheit,
multiplication, dividing by tens and hundreds, solving problems using
pictographs, decimals, probability, plane figures, ordered pairs, and
identifying faces, edges, and corners. Eight review tests and one comprehensive
test round out the lesson content.
Mathematics IV
Contains lessons covering the five-step process for problem solving, grouping
addends, addition and subtraction, odd and even numbers, multiplication
and division problems using money, using a calendar, temperature, writing
decimals to the tenths and hundredths positions, line segments and angles,
comparing maps and grids, comparing graph types, and formulating information
into a story problem. Five review tests and one comprehensive test round
out the lesson content.
Mathematics V
Covers exponents, standard, expanded, and word forms of numbers, writing
decimals, adding and subtracting decimals, the properties of addition,
the five-step thinking plan, multiplying two and three digit numbers,
surveys, uses of line and circle graphs, Venn diagrams, least common multiples,
units of length, elapsed time, lines and angles, circles, perimeter, circumference,
pyramids, and probability. Contains six review tests and one comprehensive
test.
Mathematics VI
Strengthens mathematical knowledge and ability in the areas of rounding
numbers, estimation, place value, properties of numbers, multiplying decimals,
dividing by one- or two-digit numbers, prime numbers, equivalent fractions,
tallies, identifying variables, solving equations, length, capacity and
weight units, temperature, lines and rays, parts of a circle, perimeter,
positive and negative integers, and ordered pairs. Contains eight review
tests and one comprehensive test.
Mathematics VII
Covers place value, commutative associative, zero, one, and distributive
properties, inverse operations, factors, number theory, mixed numbers,
ratios, percent concepts, markups, commissions, steps to solving equations,
measurement of length, mass/weight, metric units, points, angles, calculating
perimeter, area, volume, using a number line, and graphing ordered pairs
on a coordinate axis. Contains ten review tests and one comprehensive
test.
Mathematics VIII
Strengthens mathematical knowledge and ability in the areas of rounding
numbers, positive and negative rational numbers, order of operations,
proportion, scales, randomly occurring events, counting principle factorials,
introduction to algebra, points, rays, quadrilaterals, polyhedrons, cones,
formulas for the area of plane figures, the Pythagorean Theorem, statistics,
translating word phrases into algebraic expressions with integers, slope,
binomials, determinants, and Cramer’s rule. Contains seven review
tests and one comprehensive test.
Real World Math
This school level math prepares students for the real world. Topic areas
include calculating income and/or wages based on an hourly wage, calculating
salary per pay period, gross vs. net pay, FICA, tax assessment, maintaining
a checkbook, electronic deposits, catalog shopping, making bulk purchases,
inflationary trends, calculating monthly expenses, amortization schedules,
calculating distance on a map, reading utility meters, budgets, the process
of obtaining a loan for a home, automobile costs, investing money into
stocks and bonds, income potential for various careers, and completing
a resume. Contains five review tests and one comprehensive exam.
Pre-Algebra
Covers number notation, the multiplicative property of zero, operational
symbols, inverse operations of multiplication and division, rules for
solving equations by adding and subtracting integers, factors and
exponents, fractions, graphing on the coordinate plane, slope and intercept,
decimals and percents, statistics, scatter plots, the counting principle,
definitions of basic geometric terms, circles, area, volume, sine and
cosine ratios, and the Pythagorean Theorem. Contains seven review tests
and one comprehensive exam.
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 I, Part I
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 II
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.
Algebra II, Part I
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 II
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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