Emphasizing basic algebraic concepts, mathematical language, and problem solving, this course includes a study of variables, real numbers, polynomials, ratio and proportion, functions, variations, linear and quadratic equations, and inequalities. Factoring and solving equations and inequalities are essential skills taught at this level of Algebra.
Algebra 2
Algebra 2 is a continuation and extension of the two courses that precede it. While developing the algebraic techniques that will be required of those students who continue their study of mathematics, this course is also intended to continue developing alternative solution strategies and algorithms. Graphing calculator skills will be taught and used extensively in this course.
Skills Developed
Students in this course will develop critical thinking, problem solving, and logical reasoning.
Knowledge Developed
This course is a further development of:

Equations

Factoring

Rational expressions

Radicals

Quadratics

Exponents
New topics will include:

Logarithms

Trigonometry

Inequalities

Elementary statistics

Complex numbers

Matrices

Conics

Sequences and series
Required Prerequisites
Algebra 1
Algebra 2 Honors
Honors level Algebra 2 includes a detailed treatment of Algebra 2 topics and designed for the highly motivated mathematics student.
Skills Developed
Students in the Honors course will be able to view mathematics:

Graphically

Numerically

Analytically

Through writing
Knowledge Developed
This course is designed to build upon skills developed in Algebra and Geometry. We will introduce /expand the following topics in order to ready you for further math courses here at Darlington and beyond.

Imaginary numbers

Exponential functions

Logarithms

Conics

Trigonometry

Unit circle
Required Prerequisites
Teacher recommendation and

90 in Algebra 1

85 in Algebra 1 Honors
Algebra 3
Not ready for Precalculus? Need a solid review on the most important Algebraic concepts? Want to learn how to think outside the box? This is the course for you! Critical thinking, problem solving and logical reasoning skills will be enhanced through a review of all things Algebra, as well as an introduction to more trigonometric and statistical branches of mathematics.
Skills Developed
Critical thinking, problem solving, logical reasoning
Knowledge Developed

Equations and inequalities

Basic functions and their graphs

Trigonometry

Sequences, series, probability
Required Prerequisites
70 in Algebra 2
Geometry
This systematic approach to the nature of proofs and relationships between figures involves an examination of the properties of triangles, circles, and other plane figures. Real world applications reinforce the geometric concepts. Area, volume, properties of solid figures, and coordinate geometry and trigonometry are also studied.
Skills Developed

Critical thinking

Logical thinking

Problem solving
Knowledge Developed
Topics include:

Points

Lines

Planes

Angles

Triangles

Parallel and perpendicular lines

Quadrilaterals

Polygons

Circles

Area and volume
Required Prerequisites
Algebra 2
Geometry Honors
Honors Geometry is designed for the ninthgrade or tenthgrade students who have confidently completed Algebra I. Emphasis is placed on deductive logical reasoning through the use of twocolumn proofs. Basic constructions and accurate language of Euclidean Geometry is mastered. The foundation of the course begins by studying the undefined terms of geometry and builds into an extensive study of angles, triangles, polygons, circles and how they relate to our world.
Skills Developed
Students in the Honors Geometry course will be able to view geometry from:

The graphical perspective

The numerical perspective

The analytical perspective

The writing perspective
Knowledge Developed:
The student will acquire:

The accurate language of geometry including a glimpse at how the roots of geometric terms can be seen across the curriculum.

An appreciation for the history of geometry and influential mathematicians.

A logical thought process through the study of twocolumn proofs.

Mastery of the concepts of points, lines, planes, angles, triangles, right triangles, circles, quadrilaterals, and polygons with a general understanding of basic constructions.

Basic knowledge of The Unit Circle, the sine, cosine, and tangent functions of trigonometry.

Confidence in measurement using the English System as well as the Metric System for finding areas, volumes, and perimeters.

Methods to find missing values of geometric figures using the previously mastered skills of solving linear equations, factoring quadratic equations, solving systems of equations, and using the Quadratic Formula.
Required Prerequisites
Teacher recommendation and

90 in Algebra 2

85 in Algebra 2 Honors
or
Course equivalent including solving equations, systems of equations, graphing, factoring, Quadratic Formula, basics of graphing
and
90 in the above course
PreCalculus
Are you interested in taking Calculus? Then you need PreCalculus! This class will bridge the gap between Algebra and Calculus and make your Algebra skills better; as well as introduce you to Calculus concepts.
Skills Developed

Critical thinking

Problem solving

Logical reasoning skills
Knowledge Developed

Functions

Exponential, power, and rational functions

Trigonometric functions

Analytic trigonometry

Systems and matrices

Discrete mathematics
Required Prerequisites
Teacher recommendation and

85 in Algebra 2

70 in Algebra 2 Honors
PreCalculus Honors
Are you interested in taking Calculus? Then you need PreCalculus! This class will bridge the gap between Algebra and Calculus and make your Algebra skills better; as well as introduce you to Calculus concepts.
Skills Developed

Critical thinking

Problem solving

Logical reasoning skills
Knowledge Developed

Functions

Exponential, power, and rational functions

Trigonometric functions

Analytic trigonometry

Systems and matrices

Discrete mathematics
Required Prerequisites
Teacher recommendation and

90 in Algebra 2

85 in Algebra 2 Honors
Calculus
Primarily for seniors who have completed the regular four years of math but do not qualify for Advanced Placement, this course is devoted to learning the basic rules of both differential and integral calculus, with examples illustrating calculus at work in the physical world and in business.
Skills Developed
Critical thinking, problem solving, logical reasoning
Knowledge

Limits and continuity

Derivatives and applications of derivatives

Integrals and applications of integrals

Differential equations and slope fields
Required Prerequisites
Teacher recommendation and
80 in Pre Calculus
or
70 in Pre Calculus Honors
Calculus/Statistics
Primarily for seniors who have completed the regular four years of math but do not qualify for Advanced Placement, the first semester of this course is devoted to learning the basic rules of both differential and integral calculus, with examples illustrating calculus at work in the physical world and in business. The second semester is divided into four major stats themes: exploratory analysis, planning a study, probability, and statistical inference.
This course uses a handson approach to learning the techniques and concepts presented, and relies heavily on technology (computer and graphing calculator) to enhance student learning. The graphing calculator and Minitab, a statistical software package, are incorporated throughout the course.
Skills Developed

Critical thinking, problem solving, logical reasoning

Graphical, numerical and analytical approaches to viewing mathematics
Knowledge Developed

Limits and continuity

Derivatives and applications of derivatives

Integrals and applications of integrals

Differential equations and slope fields

Data analysis

Experimental design

Planning a study

Statistical inference
Required Prerequisites
Teacher recommendation and
80 in Pre Calculus
or
70 in Pre Calculus Honors
AP Calculus AB and BC
The student who has successfully pursued an Honors mathematics program finds a challenge in the senior year with this toplevel mathematics course. It is a full year of work in calculus and related topics comparable to courses in college, preparing students for the AP Exam. Use of the graphing calculator is incorporated into many areas of study. A graphing calculator is required on the AP Exam. Most students prepare for the ABlevel exam, but the BClevel is offered.
Skills Developed

Critical thinking, problem solving, logical reasoning

Graphical, numerical and analytical approaches to viewing mathematics
Knowledge Developed

Limits and continuity

Derivatives and applications of derivatives

Integrals and applications of integrals

Differential equations and slope fields
Required Prerequisites
AB: 85 in PreCalculus Honors; 90 in Regular PreCalculus and teacher recommendation
BC: 96 in Pre Calculus Honors and teacher recommendation
AP Application required for both levels
Probability and Statistics
Probability and Statistics is an option for juniors and seniors who have successfully completed at least Algebra 2, or can be taken concurrently with Algebra 3 or higher, regardless of the student’s intended college major. The topics for Probability and Statistics are divided into four major themes: exploratory analysis, planning a study, probability, and statistical inference. This course uses a handson approach to learning the techniques and concepts presented, and relies heavily on technology (computer and graphing calculator) to enhance student learning. The graphing calculator and Minitab, a statistical software package, are incorporated throughout the course.
Skills Developed

Critical thinking

Problem solving

Logical reasoning
Knowledge Developed

Data analysis

Experimental design

Planning a study

Statistical inference
Required Prerequisites
This class is designed for juniors and seniors only
AP Statistics
Have you ever wondered how the Evening news knows who is in the lead in the Presidential race? If so, AP Statistics is the place for you. This course is for the highly motivated student interested in receiving college credit.
Skills Developed Students in AP Statistics will be able to view statistics:

Graphically

Numerically

Analytically

Through writing
Knowledge Developed

Exploratory analysis

Experimental design

Probability

Planning a study

Statistical inference
Required Prerequisites
Teacher recommendation and

90 in Pre Calculus

85 in Pre Calculus Honors
AP Application completion required
Multivariable Calculus
This course is for students who have completed AP Calculus BC. The course will examine the calculus of real functions of two or more variables. The course begins with a review of some AP Calculus BC topics including polar coordinate systems and vector calculus. Differential calculus topics including functions of several variables and their derivatives, continuity, and derivatives will be covered. The course extends into integral calculus and incorporates the following concepts: double and triple integrals, and surface area.
Skills Developed

Critical thinking

Problem solving

Logical reasoning
Knowledge Developed

Analyze Functions of several variables

Work with VectorValued Functions

Partial and Ordinary Differential Equations

Double and Triple Integration

Work with Matrices

Analyze Modern Algebra problems
AP Computer Science A
Software is everywhere: in your phone, television, car, and thermostat, as well as in the applications and Web pages on your computer. This course seeks to build an appreciation for our reliance on software by building an understanding of intermediate programming methodology, problemsolving and algorithm development. The course will teach the fundamentals of computer programming using Java syntax along with exploring ethics and current events. This course is open to interested students with or without prior programming experience. A strong background in mathematics, particularly algebra, is necessary.
Skills Developed
Technical, problem solving, coding, logical
Knowledge Developed
Programming fundamentals, Java syntax, algorithmic problem solving
Required Prerequisites
Approval of teacher and 90 in Algebra 2 or 85 in Algebra 2 Honors
AP Application completion required