Our Courses

AES’s mission is to provide a top-quality upper math curriculum for home-schooled students. Our courses mirror the offerings to be found in any middle or high school catalog. Here is our current catalog of courses:

Pre-algebra

Pre-Algebra introduces and extends the student’s knowledge of concepts that are important to the study of algebra and more advanced math. Among the topics are variables, signed numbers, formulas, and single-variable equations.

Algebra

Algebra is the study of linear and non-linear functions.  The course presents mathematical concepts for working with rational numbers and expressions, analyzing and solving linear equations & inequalities, data analysis, probability, statistics, and polynomials.  Students will use hands-on materials and calculators (as needed) to solve problems in which algebraic concepts are applied.

Pre-requisites: Pre-algebra or equivalent

Geometry

Geometry is the study of two and three dimensional figures, such as parallel lines, trapezoids, and trapezoids. It also gives students their first exposure to formal logic, in the form of geometric proofs, and extends their experience with such tools as the coordinate plane.

Pre-requisites: Algebra

Algebra 2

Algebra 2 builds on the algebra and geometry courses to study advanced algebraic constructs, such as systems of equations, advanced polynomials, imaginary and complex numbers, quadratic equations, and trigonometry.

Prerequisites: Algebra and Geometry.

Pre-calculus

Pre-calculus covers a wide range of algebraic topics from polynomial, rational, and exponential functions to conic sections and extensive coverage of logarithmic, exponential, and trigonometric functions. Students will then work with concepts important to calculus, such as limits, derivatives, and integrals.

Prerequisites: Algebra 2

Calculus

Calculus is the study of quantities that change at rates that vary. This class presents a study of differential and integral calculus; its topics include function maxima & minima, rates of growth, and infinite sequences and series.

Prerequisites: Pre-calculus or its equivalent



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Most-Frequently-Asked Questions

Here are some quick answers to the most frequently asked FAQs. For more information, see the full FAQ list.

How long are these courses?

Each of these classes amounts to 80-120 hours of class time, depending on the particular student. Figure about 100 hours and you won't be too wrong.

What do these courses cost?

We charge a base hourly rate of $65.00 per hour for individual instruction and $45.00-$65.00 per hour for group sessions.

Group sessions can be substantially less than the base rate; see the Cost and Payment page for more details.

Is there Homework? Tests?

Yes and yes, though these have different roles in AES classes than in traditional schooling. See the full FAQ list for more details.