PRE–ALGEBRA (COLLEGE PREP) 9-10 only

This Pre-Algebra course emphasizes the skills necessary to manipulate numbers, solve equations, and understand the general principles that allow mathematical processes.  Students will explore topics in Number Theory, Scientific Notation, Linear Functions, Pythagorean Theorem, Transformations, and Bi-variant data.  Practical application through the incorporation of word problems is required in this course.  Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

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 Systems of Linear Functions and Inequalities, Exponential Functions, Quadratic Functions, and Piece-Wise Functions.  Practical application through the incorporation of word problems is required in this course.  Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE:  Successful completion of Pre-Algebra.

GEOMETRY (COLLEGE PREP) 9-12

This Geometry course emphasizes the study of congruence and similarity among classes of two and three dimensional geometric objects. Through the introduction of the point, line, plane, and space the students develop an understanding of theorems and postulates which form the foundation of geometry.  Students will explore topics in Quadrilaterals, Triangles, Surface Area and Volume, Circles, Trigonometry, and topics on Probability.  Practical application through the incorporation of word problems is required in this course.  Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE: Successful completion of Algebra I.

GEOMETRY (HONORS) 9-12

This Geometry Honors course includes extensions on the College Prep course of study. Students will explore topics in Quadrilaterals, Triangles, Surface Area and Volume, Circles, Trigonometry, 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. Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE: Successful completion of Algebra I.

ALGEBRA II (COLLEGE PREP)

This Geometry Honors course includes extensions on the College Prep course of study. Students will explore topics in Quadrilaterals, Triangles, Surface Area and Volume, Circles, Trigonometry, 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. Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE: Successful completion of Algebra I.

ALGEBRA II (HONORS) 11-12

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. Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE:  Successful completion of Geometry.

STATISTICS AND DATA GATHERING (COLLEGE PREP) 10-12

This course is a general-purpose 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.  Classroom projects and computer activities will be utilized.

PRE-CALCULUS (COLLEGE PREP) 11-12

Pre-calculus is an advanced form of algebra.  The course is intended to prepare students for the study of calculus.  The first semester includes graphs, polynomial and rational functions, and exponential and logarithmic functions.  For the second semester students will focus on trigonometry.  Topics include the unit circle, graphs, identities, and inverse functions.  Assessment will be based on tests, quizzes, homework, and class work.  There will be extensive use of the graphic calculator.  It is highly recommended students have their own graphing calculator.  Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE:  Successful completion of Algebra II.

PRE-CALCULUS (HONORS) 11-12

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 first semester includes graphs, polynomial and rational functions, and exponential and logarithmic functions.  For the second semester students will focus on trigonometry.  Topics include the unit circle, graphs, identities, and inverse functions.  Honors Pre-calculus includes additional topics not covered in College Prep.  Assessment will be based on tests, quizzes, and homework, with a higher emphasis on tests.    There will be extensive use of the graphic calculator.  It is highly recommended students have their own graphing calculator. Summer work is a requirement for this course.  Packets will be distributed at the end of the school year and will be posted on the Danbury High School website.  It will be handed in at the beginning of the school year and counted toward the student’s grade.

PREREQUISITE:  Successful completion of Algebra II.

A.P. CALCULUS AB (11-12)

A.P. Calculus 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.

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.

A.P. STATISTICS 11-12

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.

MATH LAB 9

This is a course that is required for 9th grade students who have been identified as in need of reading intervention based upon middle school performance.  This elective course will provide students with a second course in pre-algebra to ensure that students have the foundational skills required to be successful in subsequent math courses.