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Upper School Math Courses

A minimum of one math course per year, including one beyond Algebra II, is required in Upper School.

Algebra I

This Ninth grade course examines elementary algebra and its language. The algebraic language includes properties and sets of real numbers, equations and inequalities, polynomials, factoring, rational expressions and equations, and the coordinate plane. This course also explores graphing linear equations and offers an introduction to radicals. Prerequisite: Pre-Algebra or teacher recommendation
HOPE Eligible


Geometry

This Ninth or Tenth grade Euclidean Geometry course covers the following topics while intensely reviewing and applying topics from Algebra I. First semester students will study lines, planes and angles, reasoning and logic, parallels and their properties, triangles and their properties, congruent triangles and their applications, and quadrilaterals. Second semester will include studies in similarity, ratio and proportion, right triangles, circles, polygons, area, and perimeter as well as polyhedron, surface area, volume, graphing, equations of lines, and the coordinate plane. Prerequisite: Algebra I as a Ninth grader or a final year average of 85% or higher in Algebra I with a departmental recommendation for an Eighth grader
HOPE Eligible


Algebra II

This Tenth or Eleventh grade course is an extension of basic Algebra I concepts. This course incorporates a constant review of past math courses while delving into topics such as equations and inequalities, linear relations and functions and their graphs, systems of equations and inequalities, matrices, polynomials and factoring, irrational and complex numbers, quadratics, parabolas, polynomial functions, rational polynomial expressions, and exponential and logarithmic functions. Additionally, students review SAT preparation. Prerequisite: Geometry
HOPE Eligible


Algebra III

This Junior or Senior course begins with a review of algebra skills including the study of functions and their graphs, inequalities, and linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions. Second semester continues with new topics including units on sequences and series, probability, conics, and trigonometry, including circular functions, triangle trigonometry, trigonometric equations and identities. This course teaches and reinforces the algebraic skills needed to pursue higher level studies in mathematics. Prerequisite: Algebra II
HOPE Eligible


Pre-Calculus A

This course includes the study of functions, graphing, derivatives of polynomials, trigonometric functions and their inverses, trigonometric identities and equations, conics, logarithmic functions, and limits. Students with a final yearly average of 88% or higher are recommended to take AP Calculus AB. Prerequisite: A final year average of 88% or higher in Algebra II and an independent chapter on conics
HOPE Eligible


Pre-Calculus B

This course covers advanced algebra, trigonometry, basic calculus, and statistical concepts. It includes the study of functions, graphing, derivatives of polynomials, trigonometric functions and their inverses, trigonometric identities and equations, conics, logarithmic functions, and basic statistics for exploring data, probability, and inference. Juniors in this course progress to AP Statistics. Prerequisite: Algebra II and departmental recommendation
HOPE Eligible


AP Calculus AB

This course emphasizes various approaches to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. Students should understand the connections among these representations. The focus is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. Thus, although facility with manipulation and computational competence are important outcomes, they are not the core of the course. Technology will be used to reinforce the relationships to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics. Prerequisite: A final year average of 88% or higher in Pre-Calculus A
Hope Eligible


AP Calculus BC

This course is an extension of Calculus AB, using the concepts from AB to build on in BC. This course emphasizes various approaches to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. Students should understand the connections among these representations. The focus is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. Thus, although facility with manipulation and computational competence are important outcomes, they are not the core of the course. Technology will be used to reinforce the relationships to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, proper and improper integrals, limits, approximation, infinite series, vectors, polar equations, parametric equations, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics. Prerequisite: Score of a 3 or higher on the AP Calculus AB exam
HOPE Eligible

Multivariable Calculus III

This course is the extension of AP Calculus in one variable to calculus in more than one variable: the differentiation and integration of functions involving multiple variables, rather than just one. Through the use of unifying themes of curves in space, velocity and acceleration, limits and continuity of functions in three-dimensions, partial differentiation, directional derivatives, gradients, Lagrange multipliers, double and triple integration, and vectors in both two- and three-dimensions, the course becomes a cohesive whole rather than a collection of unrelated topics. Prerequisite: Score of a 4 or higher on the AP Calculus AB exam or a 3 or higher on the AP Calculus BC exam
HOPE Eligible


AP Statistics

This course explores the study of data for one and two variable distributions, sampling and experimentation, anticipating patterns with probability, and statistical inference. A study of the importance of technology and the various ways it is used in finding and interpreting statistics is a vital part of this course. Prerequisite: Recommendation by math department based on grades in previous math courses and standardized test scores
HOPE Eligible

 

 

 

 

 

 

 

 

 
 

The Heritage School  •  2093 Highway 29 North, Newnan, Georgia 30263  •  Main Office: 770.253.9898