Academics
 Academics
 Curriculum Guide
 Elgin High
 Academics
 Math
Math

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Assistant Principal of Stem
Stephanie Gorman stephaniegorman@u46.org Extension: 4852 Teachers Joann Annable
Algebra 12/Honors Precalculus
joannannable@u46.org ext. 8138 Dan Barsotti
Algebra 34/Honors Algebra 34/Precalculus
danbarsotti@u46.org ext.4811 Joe Bilyard
Algebra 34/AP Calc BC
josephbilyard@u46.org ext.8133 Cara Cejna
Algebra 12,34
caracejna@u46.org ext.8141 John Leone
Geometry 12/Algebra 34
johnleone@u46.org ext.8115 Golnaz Douzali
Geometry 12
ext.8130 Kari Foerster
Honors Algebra 34/Precalculus
karifoerster@u46.org ext. 8131 Jordan Kimbro
Geometry
jordankimbro@u46.org ext. 8137 Jennifer Kochanski
Geometry 12
jenniferkochanski@u46.org ext. 8143
Jakub Kocyan
Algebra 12/Intervention
jakubkocyan@u46.org Timothy Kolanko
Algebra 34/AP Calculus
timothykolanko@u46.org ext.8075 Jackie Nail
Honors Geometry/Geometry
jaclynnail@u46.org ext. 8129 Alan Nakamoto
Accounting/Computer Programing 12/
AP Computer Science/Multi Media Design
alannakamoto@u46.org ext. 8103 Sergio Beautell
Geometry
sergiodariasbeautell@u46.org Joseph Micek
RTI/Algebra 34
joemicek@u46.org ext. 8139 Ivan Ortiz
Honors Geometry 12 DL/ Honors Algebra 1 DL
j.ivanortiz@u46.org ext. 7770 Naushina Rahman
Algebra 2/Geometry/Econ
naushinarahman@u46.org ext.8144 Steven Sheer
Algebra 12
stevensheer@u46.org ext. 8134 Scott Superczynski
Algebra 34/RTI/AP Calc AB
scottsuperczynski@u46.org ext. 8132 Maureen Toth
Geometry DL/Algebra 1 DL
maureentoth@u46.org ext.8106 Richard Towry
AP Statistics/Honors Precalculus
richardtowry@u46.org ext. 8145 Dave Vivek
Algebra Intervention/Geo
vivekdave@u46.org Jaider Moreno
Algebra 1 DL/Honors Algebra 2 DL
jaidermoreno@u46.org ext.4859 Course Descriptions
Algebra 12
(Full Year – 2 Credits)
Grade Level: 9
Prerequisite: For 9th graders, an NCE on the ITBS math test of 51 – 75. NOTE: Some students will attend extended classes to help ensure success and proficiency.This course covers the usual topics of algebra, such as algebraic expressions, equations, inequalities, polynomials, factoring, functions, lines and systems of equations, radical expressions, and graphs.
This course is a prerequisite for geometry and is recommended to all students. Passing two semesters of Algebra is required for graduation beginning with the class of 2010.
Passing two semesters of Geometry is required for graduation beginning with the class of 2010.
Practical Geometry
(Full Year – 2 Credits)
Grade Level: 10, 11, 12Prerequisite: Algebra 12 with a grade of “D” or better or teacher recommendation.
Practical Geometry serves as a preparation for the traditional Geometry course. The course focuses upon some of the following concepts: Properties of triangles, polygons, areas, ratio and proportion, circles, volume of solids, and coordinate geometry.
Geometry 12
(Full Year – 2 Credits)
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra 12, grade of “C” or better, or successful completion of Practical Geometry, and for 9th graders an NCE on the ITBS math test of 76 – 90; teacher recommendation.This geometry curriculum integrates computer technology in the study of linear, plane and spatial geometry. It will prepare the students to use mathematics effectively in today’s world. The student will obtain visual interpretation of arithmetic and algebra, allowing for the development of higher level thinking skills. The goal is to provide experiences that encourage and enable students to value mathematics, gain confidence in their own mathematical ability, and further encourage the students to continue the study of mathematics.
Honors Geometry
(Full Year – 2 Credits)
Grade Level: 9, 10
Prerequisite: Completion of Algebra 12, teacher recommendation, and for 9th graders recommendation of teacher.This geometry curriculum integrates computer technology in the study of linear, plane, and spatial geometry. It will prepare the student to use mathematics effectively in today’s world. The student will obtain visual interpretation of arithmetic and algebra allowing for the development of higher level thinking skills. The goal is to provide experiences the encourage and enable students to value mathematics, gain confidence in their own mathematical ability, and further encourage the student to continue the study of mathematics. Prior to entering this course, students should display proficiency in factoring, quadratic formula, solving equations, all radical operations, and solving systems of linear equations.
Algebra 34
(Full Year – 2 Credits)
Grade Level: 10, 11, 12
Prerequisite: Successful completion of both semesters of Geometry 12 and Algebra 12, with grade of “C” or better, or divisional recommendation.This course is designed for students who have successfully completed 2 years of mathematics through Geometry. Algebra 12 topics are reviewed and enhanced. New topics include: conics, logarithms, functions, sequences and series, probability and statistics, matrices, and trigonometry. Problemsolving methods, a functional approach and real world applications using available technology are stressed. Students who successfully complete this course should be able to apply problemsolving techniques in further mathematical studies and in their daily lives.
Algebra 34 Honors
(Full Year – 2 Credits)
Grade Level: 9, 10, 11, 12
Prerequisite: Completion of Geometry 12 (Honors) with a grade “C” or better, or recommendation of instructor and parental consent.This course is designed for those students with above average ability who have a strong background in mathematics. The course consists of the basic topics of intermediate Algebra extending the topics of Algebra 12. Emphasis is on the function concept throughout the course. The course includes a study of the properties of elementary functions, linear, quadratic, polynomial, exponential and logarithm functions. It also includes such topics as sequences and series, matrices, probability, complex numbers and trigonometry.
Consumer Mathematics
(Full Year – 2 Credits)
Grade Level: 11, 12 (only)
Prerequisite: One year of high school math or consent of instructoThis full year course will emphasize problemsolving skills in everyday situations. Topics such as earnings, banking, car expenses, housing expenses, taxes, insurance and budgeting will be explored. Required projects and skills reinforcement will include practical and realitybased situations and simulations.
PreCalculus/Trigonometry
(Full Year – 2 Credits)
Grade Level: 11, 12 or 10 (only if recommended)
Prerequisite: Algebra 34 with “C” or better, teacher recommendation.This course is designed to give a solid preparation in mathematics to the college bound student who intends to continue study in mathematics. Analytical geometry and an introduction to calculus will be covered. Topics include triangles, trigonometric identities, functions and equations, polynomials, logarithms, exponential functions, complex numbers, permutations, combinations, and probability. Solution of systems of linear equations using metrics and determinants will be covered.
Honors PreCalculus/Trigonometry
(Full Year – 2 Credits)
Grade Level: 11, 12 or 10 (only if recommended)
Prerequisite: Algebra 34 (Honors) and recommendation of instructor and parent consent.A technologyintensive integrated mathematics course covering concepts of trigonometry, college algebra and analytical geometry. Topics may include trigonometric functions and their applications, algebraic functions, functions and limits, exponential and logarithmic functions, and vectors and linear transformation. This course provides an excellent preparation for calculus.
Introduction to Statistics: Honors / AP (Full Year – 2 Credits)
Grade Level: 10, 11, 12
Prerequisite: Successful completion of PreCalculus/Trigonometry and recommendation of instructor or divisional chair. Students who have successfully completed Honors level Algebra ¾ as 9th Graders may take this class as 10th graders.Topics covered include organizing data graphically and numerically; normal, binomial, and geometric distributions; linear and nonlinear regression, experimental design, probability, sampling distributions, significance tests, confidence intervals, and chisquare distributions. This course is designed to prepare students to take the AP Statistics exam in the spring.
Honors Calculus (AP)
(Full Year – 2 Credits)
Grade Level: 11, 12
Prerequisite: PreCalculus/Trigonometry with a grade “C” or better and recommendation of instructor.This course is designed for students who have demonstrated a mastery of PreCalculus material sufficient to correctly work problems using the following:
Factoring polynomials (2nd degree and higher)
Finding the zeroes of a function
Techniques to graph linear and quadratic functions and the intersection(s) of functions
Analytic Geometry (including the distance formula, slope of a line, equations of a line, knowledge of conic sections)
Inequalities (including absolute value and quadratic)
Trigonometry (including the 306090 and the 454590 triangle relations and the basic trigonometric identities)
This course takes the ideas from elementary math (Algebra and Precalculus) and extends them to a more general situation. A sound foundation of PreCalculus skills is essential prior to beginning this course. Students completing a full year of calculus are prepared to take the Calculus AB Advanced Placement Test.
Computer Programming: C++
(Full Year – 2 Credits)
Grade Level: 10, 11, 12
Prerequisite: Algebra 12 with a grade of “C” or better; completion of Geometry 12, or concurrent enrollment in Geometry 12. Exceptions must obtain approval of instructor and division chairperson.An introduction to computer programming. Students will learn to write program code to solve problems. This course will also prepare students to take more advanced computer programming courses.
Computer Programming: JAVA
(Full Year – 2 Credits)
Grade Level: 11, 12
Prerequisite: Successful completion of computer programming 12. A grade of “C” or better in computer programming 12 is recommended. Exceptions must obtain approval of instructor and division chairperson.An introduction to computer programming. Students will learn to write program code to solve problems. This course will also prepare students to take more advanced computer programming courses.