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Lisa Erhartic, Department Head
erharl@danbury.k12.ct.us
(203) 797-4732
 
 
 
 
 
 
 
     


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Main Office: (203) 797-4800

Attendance Office: (203) 790-2893 or (203) 790-2864

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ALGEBRA I (COLLEGE PREP) 9-11

This Algebra I course emphasizes the study of functions with tables, graphs, verbal rules and symbolic rules. Students will explore topics in solving linear equations and inequalities, Systems of Linear Functions Exponential Functions, Quadratic Functions, and topics in statistics. Practical application through the incorporation of word problems is required in this course.

 

ALGEBRA I (HONORS) 9

This Honors Algebra I course emphasizes the same study of functions from College Prep with in-depth exploration of how these functions relate to subsequent math courses with an increase in pace and rigor. Students will explore topics in solving linear equations and inequalities, Systems of Linear Functions and Exponential Functions, Quadratic Functions, and topics in statistics. Practical application through the incorporation of word problems is required in this course.



GEOMETRY (COLLEGE PREP) 10-12

This Geometry course emphasizes the study of congruence and similarity among classes of two and three dimensional geometric objects. Students will explore topics in Quadrilaterals, Triangles, Surface Area and Volume, Circles, Trigonometry, transformations, and topics on Probability. Practical application through the incorporation of word problems is required in this course.
PREREQUISITE: Algebra I or concurrent enrollment in Algebra II or Precalculus

GEOMETRY (HONORS) 10-12

This course includes extensions on the College Prep course of study. Students will explore topics in Quadrilaterals, Triangles, Surface Area and Volume, Circles, Trigonometry, transformations, and topics on Probability. Students will also include study on proofs, solids of revolution, and logic. Practical application through the incorporation of word problems is required in this course. PREREQUISITE: Successful completion of Algebra I or concurrent enrollment in Algebra II or Precalculus


ALGEBRA II (COLLEGE PREP) 10-12

This course is designed to build on algebraic and geometric concepts and provides further development of the concept of a function. It develops advanced algebra skills such as systems of equations, imaginary and complex numbers, and a variety of functions including inverse, quadratic, trigonometric, and introduces inferential statistics, and matrices. The content of this course is important for students’ success on the ACT, the SAT and college math entrance exams. Graphing calculators are implemented in each unit to combine technology into the lessons and it is highly recommended that each student have one. This course is at a faster pace than the college prep and covers additional units and extensions within each unit of study. PREREQUISITE: Algebra I or concurrent enrollment in Geometry

ALGEBRA II (HONORS) 9-12

This course in intermediate algebra reviews the principles studied in Algebra I and further develops these ideas with more advanced material.  Topics presented are polynomials and factoring, rational numbers, complex numbers, quadratic functions, exponential, logarithmic, rational and trigonometric functions.  Relations and functions are thoroughly explored and used to unify the course.  Graphing calculators are implemented in each unit to combine technology into the lessons and it is recommended that each student have one. This course is at a faster pace then the college prep and covers extensions on each unit of study.
PREREQUISITE:  Algebra I and Geometry or concurrent enrollment



STATISTICS AND DATA GATHERING (COLLEGE PREP) 10-12


This course is an introduction to the field of statistics. The content of the course is designed for students with a wide variety of vocational and educational interests. Topics will include: data gathering, frequency distributions, summarizing data, understanding scores, probability, sampling, and simulations.
PREREQUISITE: Algebra II or concurrent enrollment in Geometry.


PRE-CALCULUS (COLLEGE PREP) 10-12

Pre-calculus is an advanced form of algebra. The course is intended to prepare students for the study of calculus. The units of study include graphs, polynomial and rational functions, exponential and logarithmic functions, triangular and analytic trigonometry, circular functions, and sequences and series. Assessment will be based on tests, quizzes, homework, and class work. There will be extensive use of the graphing calculator. It is highly recommended that students have their own graphing calculator.
PREREQUISITE: Algebra II or concurrent enrollment in Geometry

PRE-CALCULUS (HONORS) 10-12

Honors Pre-calculus is an accelerated form of Pre-Calculus. The course is intended to rigorously prepare students for the study of AP calculus. The units of study include graphs, polynomial and rational functions, exponential and logarithmic functions, triangular and analytic trigonometry, circular functions, and sequences and series. Honors Pre-calculus includes additional topics not covered in College Prep. Assessment will be based on tests, quizzes, homework, and classwork. There will be extensive use of the graphing calculator. It is highly recommended students have their own graphing calculator.
PREREQUISITE: Algebra II or concurrent enrollment in Geometry



A.P. CALCULUS AB (11-12)


A.P. Calculus AB is designed to teach students how to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations; understand the meaning of the derivative in terms of a rate of change and local linear approximation and they should be able to use derivatives to solve a variety of problems; understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems; understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus; communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems; model a written description of a physical situation with a function, a differential equation, or an integral; use technology to help solve problems, experiment, interpret results, and verify conclusions; determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement; and develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. Students are required to take the A.P. test. This course is comparable to college-level Calculus I. Additionally, students seeking college credit from Western Connecticut State University must register with the University and pay a registration fee, which is payable directly to the University.
PREREQUISITE: Pre-Calculus



A.P. CALCULUS BC (11-12)

A.P. Calculus BC is an extension of A.P. Calculus AB rather than an enhancement; common topics require a similar depth of understanding. Both courses are intended to be challenging and demanding. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB. Students are required to take the A.P. test. This course is comparable to collegelevel Calculus I & II. Additionally, students seeking college credit from Western Connecticut State University must register with the University and pay a registration fee, which is payable directly to the University. Students are required to take the A.P. test.
PREREQUISITE: Pre-Calculus


A.P. STATISTICS (10-12)

The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring data by describing patterns and departures from patterns; sampling and experimentation by planning and conducting a study; anticipating patterns by exploring random phenomena using probability and simulation; and statistical inference by estimating population parameters and testing hypotheses. Students are required to take the A.P. test. Additionally, students seeking college credit from Western Connecticut State University must register with the University and pay a registration fee, which is payable directly to the University. A graphing calculator is recommended.
PREREQUISITE: Algebra II or concurrent enrollment in Geometry

 

MATH LAB (COLLEGE PREP) 9

This is a course that is mandatory for 9th grade students who have been identified as in need of math intervention based upon middle school performance (7th or 8th grade SBAC, STAR and/or teacher recommendation). This elective course will provide foundational support to ensure that students have the skills required to be successful in subsequent math courses.