Mathematics
Title Descriptions
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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.
