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Math Teachers: Cathy Batuello, Diane Karst, Linda Keuneke, Nick Vickrey, and Ellen Douglas
 

MATHEMATICS

 

PRE-ALGEBRA                                  

To be adequately prepared for this course, one should know the basic skills of mathematics: addition, subtraction, multiplication, and division of positive rational numbers.  This course, the first of a two year program designed to cover beginning Algebra, is for the student who needs an in-depth study of basic concepts.  The course will

broaden one's mathematical knowledge by covering addition, subtraction, multiplication, and division of rational numbers; the properties of algebra, solving equations in one variable.  This course will provide foundation for Algebra I - Basic using proportional reasoning, graphing relations and functions, and analyzing.  This course will also stress the development of problem solving strategies through application.


Course Length:
Year                             Weight Value: 0                                         Credits: 2

Grade Level: 9, 10, 11, 12                        Diploma: Basic

Prerequisites: None

 

ALGEBRA I                              

This course is designed for students who have successfully completed Pre-Algebra.  This is the second year of a two year program which covers beginning Algebra.  The course will review the solving of equations and inequalities  in one variable, simplifying expressions, and factoring.  The course will broaden one's mathematical knowledge by covering the simplifying of rational expressions, graphing linear equations and inequalities, solution of simultaneous equations.  Addition, subtraction, multiplication, division and simplification of radicals and solving radical equations will be learned.  This course will provide the foundation needed for Geometry.


Course Length:
Year                           Weight Value: 0                                           Credits: 2

Grade Level: 9, 10,                                 Diploma:  Core 40

Prerequisites: Pre-Algebra

 

ALGEBRA I ACADEMIC           

To be adequately prepared for this course, one should know the basic skills of mathematics: addition, subtraction, multiplication, and division of rational numbers.  The course will broaden one's mathematical knowledge by covering the properties of algebra, solving equations and inequalities in one or two variables, factoring, graphing linear equations, solution of simultaneous equations, radicals equations, probability and statistics.  Problem solving strategies will be developed.


Course Length:
Year                              Weight Value: 0                                           Credits: 2

Grade Level: 9, 10, 11. 12                      Diploma:  Core 40, Honors

Prerequisites: None

 

ALGEBRA I HONORS                                    

This course is designed for the student who completed some Algebra but needs to continue in Algebra before advancing to geometry.  The course will cover factoring, rational expressions, rational equations, graphing, simultaneous equations, radicals and radical equations, quadratic equations, probability and statistics, and problem solving strategies.


Course Length:
Year                          Weight Value: 1                                          Credits: 2

Grade Level: 9                                    Diploma: Core 40, Honors                
Prerequisites:
None

 

GEOMETRY                     

Designed for students who have completed Pre-Algebra/Algebra 1 sequence.  This course is structured to present geometrical concepts with a minimal emphasis on formal proofs.  Topics covered include points, lines, planes, angles, use of protractor and compass, constructions, triangles, quadrilaterals, polygons, ratios, circles, radicals, area, and volume.  The student will experience the application of geometric ideas and develop logical thinking skills.


Course Length:
Year                           Weight Value: 0                                          Credits: 2

Grade Level: 11, 12                              Diploma:  Core 40

Prerequisites:  Pre-Algebra and Algebra I

 

GEOMETRY ACADEMIC

This course lends itself to experimentation, observation and steps in showing that relationships made are valid or invalid.  Ideas to dwell upon are points, lines, plane and solid figures, the development of deductive reasoning and the use of definitions, properties, axioms, theorems and corollaries in formal proofs. 


Course Length:
Year                             Weight Value: 0                                         Credits: 2

Grade Level: 9, 10, 11, 12                        Diploma:  Core 40, Honors

Prerequisites: “C” or better in Algebra I: Academic

 

GEOMETRY HONORS

This course lends itself to experimentation, observation, and steps in showing that relationships are valid or invalid.   Topics covered in depth are:  points, lines, plane and solid figures, the development of deductive reasoning and the use of definitions, properties, axioms, theorems and corollaries in formal proofs. The rate of study is more accelerated with opportunities for unique discoveries.  The class will prepare students for Honors Algebra II.


Course Length:
Year                               Weight Value: 1                                       Credits: 2

Grade Level: 9, 10, 11, 12                        Diploma: Core 40, Honors

Prerequisites: “A” or better in Algebra I: Academic; “B” or better in Algebra I Honors

 

ALGEBRA II: ACADEMIC         

Algebra II is a course that expends on the topics of Algebra I and provides further development of the concept of function.  The expanded topics of the course include: Theorems, and algorithms of algebra, polynomials and polynomial functions, rational exponents, the complex numbers, sequences, and series, the properties and graphs on conic sections, permutations and combinations, matrices and exponential and logarithmic functions.


Course Length: Year                             Weight Value: 0                                     Credits: 2

Grade Level: 10, 11, 12                         Diploma:  Core 40, Honors               

Prerequisites: C or better in Alg I

 

 

ALGEBRA II: HONORS

This course is a more in-depth Algebra II course with heavy emphasis on technology and application. Technology will be used to explore the topics of Algebra II in an accelerated and challenging way.  The topics include:  polynomials and polynomial functions, rational exponents, the complex numbers, sequences, and series, the properties and graphs on conic sections, probability, matrices and exponential and logarithmic function.


Course Length:
Year                             Weight Value: 1                                       Credits: 2

Grade Level: 10, 11, 12                             Diploma:  Core 40, Honors    

Prerequisites: Algebra I or Geometry


TRIGONOMETRY – Year

Trigonometry was developed to aid the study of surveying, astronomy and navigation.  It now is applied in the study of many sciences and related fields.  Topics such as functions, radicals, conics, logarithms and complex numbers will be reviewed from Algebra II.  Other topics that will be covered are the trigonometric functions, graphing the trigonometry functions and inverses, the laws of sines and cosines and identities. 


Course Length:
Year                                  Weight Value: 0                                   Credits: 2

Grade Level: 11,12                                   Diploma: Core 40, Honor

 

TRIGONOMETRY                     

Trigonometry was developed to aid in the study of surveying, astronomy and navigation.  It now is applied in the study of many sciences and related fields.  It is also a prerequisite to the study of calculus.  Among the topics covered are trigonometric functions and their applications, proving identities and the graphing of trig functions and the inverses, complex numbers, logarithms, and laws of sines and cosines.


Course Length:
Semester                           Weight Value: 1                                   Credits: 1

Grade Level: 11,12                                   Diploma:  Core 40, Honor

Prerequisites: Algebra II and Geometry with “C-” or better

 

STATISTICS AND PROBABILITY  

Probability is the study of purely chance phenomena.  Statistics is the science or art of collecting and analyzing data and making inferences from the data.  Topics in this basic course include: permutations, combinations, the binomial theorem, conditional probability, independent events, random selections, frequency tables, measures of central tendency, standard normal distribution, estimated means and standard deviations.  This course is designed to introduce these topics so that they may be used as a basis for further study in business, economics, science and related fields.


Course Length:
Semester                      Weight Value: 0                                       Credits: 1

Grade Level: 11, 12                              Diploma: Core 40, Honors

Prerequisites: “C” or better in Algebra II

 

PRECALCULUS/TRIG                         

Pre-calculus is a full year course that blends together the entire introduction to calculus concepts as well as the trigonometry that must be mastered prior to enrollment in a college-level calculus course.  A functional approach provides for the integration of all the concepts listed above, and in addition, may include the theory of equations, exponential and logarithmic functions, matrices, probability, and sequences and series.  Emphasis is placed on analysis and problem solving over algebraic manipulation..


Course Length:
Year                        Weight Value: 1                                           Credits: 2

Grade Level: 11,12                           Diploma:  Core 40, Honors

Prerequisites: Honors Algebra II with “C” or better

 

ADVANCED PLACEMENT CALCULUS I        

This course will follow the Topics Outline for Calculus AB from College Board.  The course will cover limits, differentiation, integration, and application of calculus.  The use of technology will be stressed.  There is a possibility for students to earn college credit upon successful completion of the AP Calculus AB Exam.


Course Length:
Year                          Weight Value: 1                                               Credits: 2

Grade Level: 11, 12                            Diploma: Basic, Core 40, Honors

Prerequisites: Trigonometry

 

ADVANCED PLACEMENT CALCULUS II       

This course will follow the Topic Outline for Calculus BC from College Board.  The course will continue to the study of limits, derivatives, integrals and applications of calculus.  It will also include the study of sequences and series, parametric and polar functions, and an introduction to differential equations.  The use of technology will be stressed.  There is a possibility for students to earn college credit upon successful completion of the AP Calculus AB or BC Exam.


Course Length:
Year                        Weight Value: 1                                                 Credits: 2

Grade Level: 11, 12                          Diploma: Core 40, Honors

Prerequisites: AP Calculus I

 

 
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