Academics

The students of The Epiphany School of Global Studies will be able, confidently and effectively, to use their math skills in daily living, college level work, and in a professional environment. Each student will possess the necessary  skills to analyze a problem, call on a repertoire of problemsolving strategies and tools, and to think logically and reasonably in arriving at a solution. In addition, students will communicate from a mathematical standpoint, both  in verbal and written form. Most importantly, it is the  hope of the school that students will sustain the desire to  be lifelong learners.

Upper School Mathematics

ALGEBRA 1

PREREQUISITE: PRE‑ALGEBRA

This course covers the full scope of an introductory Algebra 1 curriculum. (The honors level of Algebra 1 is offered only in Middle School.) The terminology of algebra, solving equations and inequalities, solving systems of equations and inequalities, polynomial operations, factoring, applications of factoring, an introduction to functions, graphing in the coordinate plane, an introduction to irrational numbers, solving quadratic equations, and work with rational expressions will be covered during the year. Calculators will become tools in problem situations where basic computations can be better facilitated by their use and when their use serves to supplement and enhance concepts being studied.

What a TES student will know and be able to do in Algebra 1:
  • The language of algebra
  • Properties of real numbers
  • Solving linear equations
  • Graphing relations and functions
  • Analyzing linear relationships
  • Systems of equations
  • Exponents and polynomials
  • Quadratics
  • Radicals
  • Inequalities

(HONORS) GEOMETRY  

PREREQUISITE: ALGEBRA 1

(Honors) Geometry moves from inductive to deductive reasoning to produce logical proofs. A basic understanding of undefined terms, properties, postulates, and theorems is developed and applied to two and three dimensional figures. Algebraic skills involving lines, graphs, equations, formulas, radicals, and trigonometry are reinforced. Hands-on explorations, constructions, and activities enhance the visual and spatial nature of the course while connecting the intrinsic concepts of Euclidean Geometry. Technology is employed when applicable.

What a TES student will know and be able to do in (Honors) Geometry:
  • Points, lines, and planes
  • Deductive reasoning
  • Parallel lines and planes
  • Congruent triangles
  • Quadrilaterals
  • Coordinate geometry
  • Inequalities in geometry
  • Similar polygons
  • Right triangles
  • Circles
  • Areas of plane figures
  • Areas and volumes of solids
  • Transformation

(HONORS) ALGEBRA 2

PREREQUISITE: GEOMETRY

This course emphasizes facility with algebraic expressions and forms, especially linear and quadratic forms, powers, roots, and functions based on these concepts. Students study logarithmic, trigonometric, polynomial, and other special functions as tools for modeling real-world situations. The course applies geometrical ideas learned in the previous years, including transformations and measurement formulas. A TI-84 calculator will be an important tool for this course.

What a TES student will know and be able to do in (Honors) Algebra 2:
  • Equations and inequalities
  • Quadratic functions
  • Linear equations and functions
  • Polynomials
  • Linear systems and matrices
  • Quadratic functions
  • Rational exponents and radical functions
  • Exponential and log functions
  • Conics

HONORS PRE‑CALCULUS

PREREQUISITE: ALGEBRA 2

This course blends the concepts and skills that must be mastered before enrollment in a college-level calculus course. The course includes the study of relations and functions, exponential functions, logarithmic functions, trigonometric functions, trigonometric identities, and the introduction to limits and derivatives.

What a TES student will know and be able to do in Honors Pre-Calculus:
  • Algebra review
  • Functions
  • Polynomials
  • Rational functions
  • Exponential and log functions
  • Trigonometry
  • Trigonometric functions
  • Analytic trigonometry
  • Parametrics
  • Polar equations
  • Conics
  • Sequences and series

PRE‑CALCULUS

PREREQUISITE: ALGEBRA 2

This course will extend the student’s study of both algebra and geometry by considering advanced functions and their applications to situations in the real world. The course will include a review of Algebra 2, as well as a study of transformations and graphic and analytic applications of functions including trigonometry, polynomials, exponential and logarithmic functions.

What a TES student will know and be able to do in Pre-Calculus:
  • Algebra review
  • Linear functions
  • Polynomials
  • Rational functions
  • Exponential and log functions
  • Triangle trigonometry
  • Circular trigonometry
  • Trig functions
  • Analytic trigonometry
  • Combinatorics
  • Probability 

STATISTICS

PREREQUISITE: ALGEBRA 2

This course covers the following topics: interpreting, presenting, and describing univariate and bivariate data; methods of data collection; producing models of data distribution using probability and simulation; and the study of statistical inference as a guide for choosing appropriate models for data.

What a TES student will know and be able to do in Statistics:
  • Statistical thinking
  • Probability
  • Discrete random variables
  • Continuous random variables
  • 1 proportion inference
  • 2 proportion inference
  • Categorical inferences
  • Analyzing quantitative data
  • 1 sample mean
  • 2 sample mean
  • Bivariate data

ADVANCED PLACEMENT CALCULUS AB

PREREQUISITE: HONORS PRE‑CALCULUS

Calculus AB is an Advanced Placement Calculus course, which follows the syllabus and guidelines of the Advanced Placement program. Students are expected to do work at a college level. The course is the equivalent of first semester college calculus devoted to topics in differential and integral calculus. This AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The second semester final exam in the course is the AP exam, which students are required to take. Those students with high scores on the AP Calculus AB exam can earn credit for one semester of college calculus.

What a TES student will know and be able to do in AP Calculus AB:
  • Limits
  • Derivatives
  • Differentiation rules
  • Applications of differentiation
  • Integrals
  • Areas and volume
  • Differential equations