## Mathematics (Middle/Secondary)

Mathematics 6

Mathematics 6 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.

Mathematics 7 (General Math A)

Mathematics 7 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.

Mathematics 8 (General Math B)

Mathematics 8 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.

Real World Math

Real World Math is a fundamental course for high school level and meets new standards for student financial learning. An important aspect of every individual’s future is the ability to plan and implement sound and responsible financial goals. This A+LS personal finance course will educate students in a variety of financial and monetary subjects including consumer services and protections.

Pre-Algebra

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.

Algebra I A

Algebra I A 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.

Algebra I B

Algebra I B continues coursework of Algebra I B 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.

Algebra I, A Function Approach Part 1

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

Algebra I, A Function Approach Part 2

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.

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.

Algebra II A

Topic areas of Algebra II A 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 B

Continuing coursework from the Algebra II A, 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.

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.

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.

Calculus IIM

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.