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
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.
690L
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Mathematics V
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.
730L
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Mathematics VI
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.
860L
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Mathematics VII
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.
790L
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Mathematics VIII
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.
740L
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Pre-Algebra - Click here to learn more
Pre-Algebra is a transitional mathematics course for grade levels 8–9. The purpose of this course is to shift the learner from the concrete world of arithmetic into the abstract world of algebra. The first step in this process involves performing operations with integers. The student is then introduced to variables and learns how to use them in simplifying expressions, adding like terms, and solving equations and inequalities. Next, the basic rules of exponents are explored, and the coordinate plane is introduced. The concepts of fractions, ratios, proportions, and percentages are reviewed. Finally, the student is introduced to probability, statistics, and geometry.
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Algebra I, Part 1
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.
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Algebra I, Part 2
Algebra I: Part 2 continues coursework of Algebra I: Part 1 and 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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This course is designed to provide varied approaches to solving real-world application problems. The curriculum 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, 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
The Geometry title introduces basic geometric terms and 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.
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Algebra II, Part 1
Topic areas of Algebra II: Part 1 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, this title covers the 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
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 trigonometry 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 trigonometry functions, principal values, arc length, area of circular sectors, simple harmonic motion, and frequency.
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Calculus I
Calculus I covers 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, using related rates to determine the volume of cones, determining graphing data, and antiderivatives with negative exponents.
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Calculus II
Continuing coursework from the Calculus I title, Calculus II 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, arc length, 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.
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Many of the A+LS Mathematics lessons have an assigned Quantile