Opus Academy offers the EPGY Math courses which used a complete sequence of mathematics courses from the kindergarten-level through the advanced placement level.  

Mathematics at EPGY has three divisions: Elementary, Secondary and Advanced Placement.

 

 


Elementary Level
Secondary Level
Advanced Placement
• M00A Accelerated K-2 Mathematics
• M00B Accelerated 3-4 Mathematics
• M00C Accelerated 5-6 Mathematics
• M00D Honors Pre-Algebra (7) Math
• M011 Honors Beginning Algebra
• M012 Honors Intermediate Algebra
• M015 Honors Geometry
• M013 Honors Pre-calculus
• M040 Calculus A
• M041 Calculus B
• M042 Calculus C


K-7 Mathematics: M00A K-2, M00B 3-4, M00C 5-6, and M00D 7
This sequence provides a rigorous and complete mathematics curriculum at the elementary school level with a strong emphasis in conceptual geometry and mathematical foundations.  Students progress in areas of simple arithmetic, fractions, decimals, sets, measurement, graphs, functions, geometry and pre-algebra.  The program begins at the kindergarten level and progresses to the end of pre-algebra.  Students should enroll at the beginning of their current school grade level.


M011 Beginning Algebra
The first year of high-school algebra, including the real number system, equations and inequalities, polynomials and exponents, factoring and applications, rational expressions, graphing linear equations, linear systems, roots and radicals and quadratic equations.

M012 Intermediate Algebra
The second year of high-school algebra, including the intermediate levels of linear equations and inequalities, exponents and polynomials, rational expressions, roots and radicals, quadratic equations and inequalities, the straight line, systems of linear equations, quadratic functions, inverse exponential and logarithmic functions, sequences and series.

M013 Pre-calculus
Topics in algebra, trigonometry, analytic geometry and other mathematical areas necessary to complete an in-depth study of the material generally presented in secondary school mathematics.  It provides the foundational material necessary for the calculus.

M015 Honors Geometry
An expanded version of a traditional High School Geometry Course with an emphasis on the axiomatic approach. Covers logic, synthetic geometry, analytic geometry and transformational geometry.


M040 Calculus A
An introduction to the differential calculus.  Topics: limits and continuity, derivatives and differentiability, applications of the derivative, curve sketching, related rates, and implicit differentiation.

M041 Calculus B
An introduction to the integral calculus.  Topics: parametric equations, Riemann sums, indefinite and definite integrals, techniques of integration and applications of the integral.  Prepares students to take the Calculus AB Advanced Placement Exam.

M042 Calculus C
Further topics in differential and integral calculus.  Topics: formal development of limits and derivatives, advanced techniques and applications of integration, power series, and simple differential equations.  Prepares students to take the Calculus BC Advanced Placement Exam.


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