Math Department

Math Department co-Chairs

Mr. Anthonyn Ursino  aursino@waterbury.k12.ct.us

Ms. Nicole Geancopolous ngeancopolous@waterbury.k12.ct.us

 

     
Mr. Jashari Ms. Nicole Geancopolous Mr. Sam Brown
  Ms. Michelle Modenese  
Mr. Halil Manjani Mr. Antonio Ursino  
Ms. Kumudinie Yapa    

         

 

Math Department Rubrics

Calculator Usage          CAPT-Open Ended Questions         Graphing         Daily Classroom Expectations             
Grading Rubric   

 

Math Courses:

 

9th Grade, Freshman Year 11th Grade, Junior Year
Algebra I Algebra 2
Geometry ATOMS Linear Quadratic Functions
  Precalculus ATOMS
   
   
10th Grade, Sohomore Year 12th Grade, Senior Year
Geometry Precaluculus
Discrete Mathematics Studies Beyond Quadratics
Algebra 2 ATOMS

Pre College Algebra

  AP Calculus
  AP Statistics

 

Graduation Requirements: 

Wilby High School students must earn 3 credits in math to meet the graduation requirement.  Most colleges require 3 to 4 high school math credits for admission.

MATHEMATICS

 

The goal of the Mathematics Department is to provide students with the necessary tools to be able to analyze and solve problems using basic logic and mathematical concepts which will prepare them for advanced studies in mathematics and for careers in engineering, business and the sciences. Success in mathematics depends on the ability to problem-solve real world applications by seeing patterns, using deductive reasoning, as well as acquiring, organizing and communicating meaningful data all with an emphasis on strengthening one’s imagination in the process.

 

Honors and AP levels in the program, which covers content material more in depth and at a faster pace, will prepare students for admission requirements of colleges and universities. Students are required to take three years of mathematics and are strongly encouraged to take a fourth year. 

 

Students are encouraged to purchase their own TI84 graphing calculator to be used in mathematics and science courses, as well as to prepare for the CAPT and SAT. The graphing calculator is an integral part of all mathematics courses.

 

300      HONORS ALGEBRA 1                              GRADE: 9               CREDIT: 1.00

This intense and accelerated course provides the tools and ways of thinking needed to solve real world problems. The course covers all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value, exponential functions and inequalities. Coordinate geometry will be integrated into the investigation of these functions. Systems of equations and their alternative solution methods will also be studied. Measurement within a problem solving context includes calculating rates using appropriate units and converting within measurement systems.  Data analysis including measures of central tendency and visual representations of data are studied. An understanding of correlation and causation will be developed and reasonable lines of best fit will be used to make predictions. Elementary probability theory is used to determine the probability of events. Students use a graphing calculator in order to stay current with modern technological trends. Preparation for the CAPT is an important part of Honors Algebra 1.

 

301    ALGEBRA 1                                       GRADE: 9                         CREDIT: 1.00

This course provides the tools and ways of thinking needed to solve real world problems.  It covers all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Coordinate geometry will be integrated into the investigation of these functions. An introduction to systems of equations and their alternative solution methods will also be studied. Measurement within a problem solving context includes calculating rates using appropriate units and converting within measurement systems. An introduction to data analysis including measures of central tendency and visual representations of data are studied. Elementary probability theory is used to determine the probability of events. Students learn how to use a graphing calculator in order to stay current with modern technological trends. Preparation for the CAPT is an important part of Algebra 1.

 

302      ALGEBRA 1 (DOUBLE PERIOD)             GRADE:  9           CREDITS: 2.00

This freshmen level course covers the same key skills and concepts that are covered in 301 Algebra, but is offered in a double period format.  The block scheduling allows for teachers to integrate a greater level of differentiated instruction and remediation for students.

 

320      HONORS ALGEBRA 2                              GRADES: 10-11     CREDIT: 1.00

320M  ATOMS   ALGEBRA 2                               GRADES: 10-11     CREDIT: 1.00

Prerequisite: Grade of B or better in Honors Geometry/ATOMS Geometry

This course covers the same concepts as Algebra 2, only in greater depth. The additional topics studied in this class include exponential and logarithmic functions, basic trigonometry including Law of Sines and Law of Cosines, solving a system of equations with and without a calculator, linear programming, and conic sections. Advance features of the graphing calculator are incorporated into the course work, as well as real life problem-solving and applications of Algebra 2 in various fields, such as engineering and other sciences. Preparation for the SAT is an important part of Honors Algebra 2 and ATOMS Algebra 2.

 

321      ALGEBRA 2                                                 GRADES: 10-11     CREDIT: 1.00

Prerequisite: Successful completion of Algebra 1 and Geometry

Algebra 2 reviews and expands on the concepts studied in Algebra 1 and Geometry and introduces rational expressions, complex numbers, solving a quadratic equation by completing the square and graphing using the vertex form of an equation, finding roots by long division and synthetic division, sequences and series, and solving a system of equations with a calculator using matrices. Advance features of the graphing calculator are incorporated into the course work, as well as real life problem-solving and applications of Algebra 2 in various fields, such as engineering and other sciences.  Preparation for the SAT is an important part of Algebra 2.

 

350      HONORS GEOMETRY                             GRADE: 10             CREDIT: 1.00

350M  ATOMS   GEOMETRY                             GRADE: 10             CREDIT: 1.00

Prerequisite: Grade of B or better in Honors Algebra 1/ACE Algebra 1

This course offers an accelerated and more in depth approach to plane, solid and coordinate geometry. An intensive investigation of basic properties, angles, triangles, polygons, parallelograms, circles, area, volume, congruency and similarity are covered. Through the study of inductive/deductive reasoning and indirect proofs students will develop their logical reasoning skills. Real life problem solving using technology will be applied throughout the course. In addition students are exposed to solving geometry problems which require higher level thinking skills. The curriculum is also supplemented by challenging problems that require a solid background in Algebra 1. Preparation for the CAPT is an important part of Honors Geometry and ATOMS Geometry.

 

351      MODERN GEOMETRY                            GRADE: 10           CREDIT: 1.00

Prerequisite: Successful completion of Algebra 1

Students discover, explore and make conjectures about geometric concepts and relationships including parallelism, congruence, similarity, area, volume, trigonometry and coordinate geometry. Emphasis is placed on discovery of patterns, real life problem solving using technology, mathematical connections to other disciplines, critical thinking, reasoning, and communicating mathematics. Algebra skills are reviewed and strengthened throughout the course through the application of geometric concepts.  Preparation for the CAPT is an important part of Geometry.

 

325      LINEAR/QUADRATIC FUNCTIONS         GRADES: 11-12 CREDIT: 1.00           

Prerequisite: Successful completion of Algebra 1 and Geometry

This is a rigorous course for those students working toward completing a three-year math sequence that will aid them in successfully meeting entrance standards for mathematics at the community college level.

 

326         FUNCTIONS BEYOND THE QUADRATIC   GRADE: 12 CREDIT: 1.00           

Prerequisite: Successful completion of Algebra 1, Geometry, and Linear/Quadratic Functions

This is a rigorous course for those students working toward completing a four-year math sequence that will aid them in successfully meeting entrance standards for math at the college level.

 

345      PRE-COLLEGE ALGEBRA                     GRADE: 12           CREDIT: 1.00

Prerequisite: Successful completion of Algebra 1, Geometry and Algebra 2 or Linear/ Quadratic Functions

This course will be an extension of Algebraic topics not traditionally studied in Algebra 1 and Algebra 2. It is designed to help seniors prepare for the transition from high school to college level mathematics.

 

 

 

 

370      PRE-CALCULUS HONORS          GRADES: 11-12      CREDIT: 1.00

Prerequisite: Grade of B or better in Honors Algebra 2/ATOMS Algebra 2

This course provides algebraic and graphical explorations of polynomial, rational, exponential, and logarithmic and inverse functions, with real life applications. In addition, trigonometric functions are studied as circular functions with applications to triangle problems. Topics include trigonometric identities, inverse trigonometric functions and oblique triangle trigonometry. Limits and sequences and series will be introduced if time permits. Extensive use of the graphing calculator will assist the student in a balanced approach to solving problems.

 

371      PRE-CALCULUS                            GRADES: 11-12      CREDIT: 1.00           

Prerequisite: Successful completion of Algebra 2

This course is designed to provide a strong foundation of pre-calculus concepts, techniques, and applications to prepare students for more advanced work. It places appropriate emphasis on discrete mathematics and data analysis as the mathematical framework for many important contemporary applications. Units covered include polynomial, rational, exponential, and logarithmic and inverse functions, graphs, and applications, trigonometry, and discrete mathematics. Extensive use of the graphing calculator will assist the student in a balanced approach to solving problems. This is known as the Rule of Four: representing problems algebraically, numerically, graphically, and verbally.

Prerequisite: Successful completion of Algebra 1, Geometry and Algebra 2

 

380A   AP CALCULUS AB                                                GRADES: 11-12     CREDIT:  1.00

Prerequisite: Successful completion of Pre-calculus or Calculus teacher recommendation

This course includes the in depth study of functions, analysis of graphs, limits, continuity; derivatives at a point and of functions, second derivatives and applications and computation of derivatives: interpretations and properties of definite integrals, applications of integrals, including volumes of solids of revolution, disks, and washer; the approximations to definite integrals. All topics are covered algebraically, geometrically, and analytically. Students are required to take the Advanced Placement examination in May and may receive college credit for one semester of calculus. 

 

385A   AP CALCULUS BC                                                GRADE: 12            CREDIT: 1.00

Prerequisite: Successful completion of AP Calculus AB or Pre-calculus Honors (minimum grade of 90) and recommendation from Calculus teacher

This course includes the study of topics in AP Calculus AB plus studies of parametric, polar and vector functions; applications of integrals; polynomial approximations and series including the concepts of series, divergence vs. convergence and types of series, series of constants, and Taylor/Maclaurin series. Students are required to take the Advanced Placement examination in May and may receive college credit for up to two semesters of Calculus.

 

392A   AP STATISTICS                                          GRADE: 12          CREDIT: 1.00

Prerequisite: Successful completion of Algebra 2 Honors or ATOMS

This is a rigorous course for high achieving students and it follows the College Board’s curriculum for the course. Students are required to take the Advanced Placement examination in May and may receive college credit based on their score.

 

 

373      SAT PREP—MATH                                                GRADE: 11              CREDIT: .50

This is a half-year course that reviews test-taking strategies and problem solving techniques, and encourages both long-term and short-term preparation for the SAT and other standardized assessments. Tips on improving computational and reasoning skills are included. Practice sessions guide students to a better understanding of the problems that commonly appear on the SAT and related tests. The graphing calculator is used throughout the course. Taken with 073 SAT Prep—English

 

399      DISCRETE MATHEMATICS                   GRADES: 9-10       CREDIT: 1.00

Prerequisite: CMT Scores/Department Recommendation

This course was developed for the student who needs an extra math course to improve on the necessary math skills needed to meet proficiency on the CAPT. This course covers the basic study of fractions, decimals and percents, as well as measurement and conversion of both standard and metric units of measurement, algebra, geometry, statistics, elementary probability, and discrete math. Graphing and real world problem-solving using a graphing calculator and the computer lab will be integrated throughout the course. Preparation for the CAPT is an important part of this course.