Mathematics I
Mathematics I is an introduction to mathematical concepts. The lessons cover numbers and counting; ordering numbers; ordinal numbers; addition readiness; vertical addition; subtraction readiness; number sense; vertical subtraction; fact families; word problems; addition sentences; subtraction sentences; identifying the operation needed to solve a problem; reading and creating graphs; identifying and counting coins; measuring length, weight, and temperature; telling time; three-dimensional figures; symmetry; and fractions.
 500L
The Mathematics I course includes other topics such as:
- adding with number lines
- mathematical patterns
- counting by tens
- number sets
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Mathematics II
Mathematics II strengthens mathematical skills in the following areas: numbers and counting, odds and evens, money and money strategy, graphing, addition and subtraction, using a calculator, measurement, telling time, solving story problems, fractions, and estimating. It also introduces students to measuring perimeter, congruent and symmetrical objects, probability, problem-solving strategies, logic, ordered pairs, multiplication, and division. The lessons also review reading time on digital or analog clocks.
570L
The Mathematics II course includes other topics such as:
- advanced graphing
- ordinal numbers
- calculator usage
- measuring weight
- measuring temperature
- introduction to multiplication
- introduction to division
- coin values
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Mathematics III
Mathematics III covers the following topics: addition and subtraction with regrouping; counting bills and coins; using a number line; using mental math; measuring length with standard and nonstandard measurements; using bar graphs; using a calculator; finding mean, median, mode, and range; estimating and measuring capacity, time, and weight; reading temperatures in Celsius and Fahrenheit; multiplying three numbers; measuring area; dividing by tens and hundreds; adding and subtracting fractions; solving problems using pictographs; decimals; probability; plane figures; ordered pairs; identifying faces, edges, and corners; and using logical reasoning.
660L
The Mathematics III course includes other topics such as:
- nonstandard measurement
- patterns and calculations
- conclusions and predictions
- multi-step word problems
- lines, rays, and segments
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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.
690L
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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.
730L
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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.
860L
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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.
790L
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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.
740L
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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.
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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.
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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.
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Algebra I: A Function Approach, Part 1, is designed to provide students with varied approaches to solving real-world application problems. This course focuses on identifying functional relationships including determining dependence, identifying and analyzing rate of change, making predictions from data, and using data to generalize and develop equations to predict trends. The primary focus is on developing linear functions and solving linear equations, linear inequalities, and linear systems. Developing quadratic functions and solving quadratic equations are covered to a lesser extent and exponential functions are introduced.
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Algebra I: A Function Approach Part 2 is a continuation of Algebra I: A Function Approach Part 1. Part 2 provides students with more approaches to the real-world application of algebra. The continued focus of this course is on functional relationships and the various uses of a rate of change. This course moves on to writing and solving equations, linear models in two variables, linear inequalities, and systems of equations and inequalities. Polynomials, their applications, and the factoring of polynomials are examined. Quadratics, their roots, factors, zeros, and solutions are introduced, followed by the quadratic formula, laws of exponents, exponential functions, and functions of inverse variation.
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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.
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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.
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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.
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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.
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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,
Leibniz 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.
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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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Many of the A+LS Mathematics lessons have an assigned Quantile