Thornton Township High Schools District 205

Preparing all District 205 Students to be Competitive Leaders in our Global Society

MATHEMATICS


Program Description

Mathematics is a language used to identify, describe, and investigate patterns and problems of everyday life.

 

The District 205 Mathematics program provides all students with the opportunity to become productive members of today’s technological society. Through the concepts of measurement, estimation, data analysis, geometric relations and algebra, the program develops mathematical problem solving, computational and communication skills. Lifelong learning, the making of mathematical connections, and developing an appreciation for mathematics is promoted. We use a dynamic, multifaceted approach that includes use of the latest technology, manipulatives, and remediation.

 

The District 205 Mathematics Program follows the guidelines set forth by universities, the State of Illinois, professional organizations, the NCTM Standards, National Common Core Standards, and School District 205.

 

Program Goals

 1.  Number Concepts and Skills - Understand numbers.

 2.  Measurement - Extend the understanding of the process of measurement.

 3.  Algebraic Concepts and Skills - Know algebraic concepts and methods.

 4.  Geometric Concepts and Skills - Know geometric concepts and methods.

 5.  Data Collection and Analysis - Understand methods of data collection and analysis.

 6.  Mathematics as Problem Solving - Know problem solving strategies.

 7.  Mathematical Connections - Understand connections among mathematical topics and between math and other disciplines.

 8.  Technology -Understand the uses of technological tools that facilitate mathematical learning.

 9.  Mathematics as Reasoning - Understand logical reasoning.

10.  Mathematics as Communication - Know mathematical language and symbolism.

 

Course Selections


Algebra I 08      

Algebra I with Support

Algebra I 09

Algebra I (Honors)

Algebra II

AP Calculus (AB)

AP Calculus (BC)

AP Statistics

Financial Algebra

Finite Math

Geometry

Geometry I with Support

Geometry (Honors)

Honors Algebra II & Trigonometry

Honors / Pre-Calculus

Statistics

Trigonometry & College Algebra


 

R-1313-I  ALGEBRA I 09  FOR 9-12  1 UNIT  This course provides an up-to-date development of algebraic concepts which establish a firm basis for successfully pursuing subsequent mathematics courses. Equations, inequalities, polynomials, relations and functions are used as essential tools of algebra. The understanding of these concepts will be enhanced by the use of appropriate applications from geometry and data analysis. Problem solving skills are stressed. Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE: Placement test(s) and area criteria.


R-1315 –I  ALGEBRA I with SUPPORT FOR 9    1 UNIT MATH CREDIT, 1 UNIT ELECTIVE CREDIT   This course provides an up-to-date development of algebraic concepts while continuing to develop and improve arithmetic and number sense skills.  A variety of strategies and approaches are used to provide the student with multiple representations of the concepts.  Arithmetic skills are a necessary skill and will be addressed daily through direct instruction techniques.  Equations, inequalities, polynomials, relations, and functions are used as essential tools of algebra.  The understanding of these concepts will be enhanced by the use of appropriate applications from geometry and data analysis.  Problem solving skills are stressed.  Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE: Placement test(s) and area criteria.

 

A-1317-I  HONORS ALGEBRA I  FOR  9  1 UNIT  This accelerated course addresses the content of Algebra I in greater depth than regular level Algebra I, with more rigor and  an accelerated pace. Enrichment areas such as history of mathematics, graphing calculator technology and some geometric topics are covered. Problem solving skills are stressed; individual projects are assigned. Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE: Placement test(s) and area criteria.

 

R-1321-I  GEOMETRY  FOR  10-11-12  1 UNIT  The concepts and relationships of points, lines, planes, line segments, circles, and polygons are studied and developed. Algebra is integrated in many areas such as coordinate geometry. Increased emphasis is placed on connections, use of technology, and preparation for external tests. Logical reasoning and deductive processes are developed and transformations are introduced. Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE: It is highly recommended that students complete the benchmark requirements for Algebra One before taking this course.

 

R-1323-I  GEOMETRY with SUPPORT FOR  10-11-12  1 UNIT MATH CREDIT, 1 UNIT ELECTIVE CREDIT  

This course is designed to review specific components of the Algebra One curriculum, which will help students learn the components of the Geometry course.  The concepts and relationships of points, lines, planes, line segments, circles, and polygons are studied and developed. Algebra is reviewed and integrated within the support. Increased emphasis is placed on connections, use of technology, and preparation for external tests. Logical reasoning and deductive processes are developed and transformations are introduced. Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE: It is highly recommended that students complete the benchmark requirements of any Algebra One course before taking this course.

 

A-1325-B  HONORS GEOMETRY   FOR  9-10  1 UNIT  This accelerated course includes the study of points, lines, planes, line segments, circles, polygons, surfaces and transformations. Logical thinking, organizing and writing proofs, coordinate and three-dimensional geometry are emphasized. Individual projects are assigned. Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE:  It is highly recommended that students complete the benchmark requirements for Honors Algebra One before taking this course.

 

R-1327-B  ALGEBRA II  FOR 09-10-11-12  1 UNIT  This course provides an extension of concepts developed in Algebra I and Geometry. New topics include complex numbers, probability, matrices, exponential and logarithmic functions, quadratic functions, and solving systems of equations are reviewed. The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Algebra One and Geometry before taking this course.

 

A-1337-B  AP CALCULUS (AB)   FOR 11-12  1 UNIT  This course consists of the study of differentiation and integration of algebraic and transcendental functions with associated applications. Special emphasis is placed on limits and relating the graphical, numerical and analytical representations. This course prepares the student for the Calculus AB Advanced Placement Exam and follows the curriculum recommended by the College Board.  Students in this course are expected to complete the AP Exam during the scheduled time period in May.  Successful completion of the examination provides college credit at most universities. The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Honors Algebra One, Honors Geometry, Honors Advanced Algebra/Trigonometry, and PreCalculus before taking this course.

 

A-1339-B  AP CALCULUS (BC)   FOR 11-12  1 UNIT  (ADVANCED PLACEMENT)  This course consists of the study of differentiation and integration of parametric, polar, and vector functions with the associated applications. Special emphasis will be placed on advanced limit techniques and relating the graphical, numerical, and analytical representations. This course prepares the student for the Calculus BC Advanced Placement Exam and follows the curriculum recommended by The College Board. Students in this course are expected to complete the AP Exam during the scheduled time period in May.  Successful completion of the examination provides college credit at most universities. The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITE: Successful completion of AP Calculus AB.

 

R-1343-B STATISTICS FOR 11-12 1 UNIT This course is designed to train students how to create studies, collect and analyze data, and interpret results along with the study of probability and statistical inference.  Exposure to real data can aid personal development and decision-making, as well as give students concrete examples of how statistics plays a role in their lives today. Students will learn that the ability to critically evaluate data is an important life skill because data influences every part of their lives. This introductory statistics course will allow students the opportunity to gain sound intuition in developing their understanding of the concepts of quantitative, as well as qualitative literacy. This course is highly recommended for Health and Human Service students who are considering college work in the medical field, social and behavioral sciences, and/or criminal justice. The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Algebra One, Geometry, and Algebra Two before taking this course.

 

A-1347-B  AP STATISTICS FOR 11-12  1 UNIT  (ADVANCED PLACEMENT)  AP Statistics is the high school equivalent of a one semester, introductory college statistics course. In this course, students develop strategies for collecting, organizing, analyzing, and drawing conclusions from data.  Students design, administer, and tabulate results from surveys and experiments. Probability and simulations aid students in constructing models for chance phenomena. Sampling distributions provide the logical structure for confidence intervals and hypothesis tests.  Students use a TI-83/84 graphing calculator, Fathom and Minitab statistical software output, and Web-based java applets to investigate statistical concepts.  To develop effective statistical communication skills, students are required to prepare frequent written and oral analyses of real data. The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore.  PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Algebra One, Geometry, and Algebra Two before taking this course.  Students taking this course will complete the AP Examination in Statistics.  This course will be equivalent to a college course in Statistics and will be intensive.

 

R-1367-B FINANCIAL ALGEBRA FOR 11-12 1 UNIT  This course is designed to train students to be excellent consumers in the economy.  Students will review math computation skills and will learn concepts which will allow them to be increasingly successful with their personal and business finances.  These skills include managing money and managing expenses.  Students will look at personal costs associated with vehicles, housing, and insurance.  There will also be opportunities to examine business costs such as services, utilities, accounting, depreciation, pricing, stocks, and bonds.  Students may be assigned specific projects, which will be tailored to the specific House in which they are enrolled.  Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Algebra One, Geometry, and Algebra Two before taking this course.

 

R-1375-B   FINITE MATH FOR 11-12   1 UNIT   This course is designed for students interested in business and the social sciences.  This course presents an introduction to mathematical topics with applications to business, economics, social science and biology.  Matrix theory and operations, systems of linear equations and inequalities, linear programming, counting techniques, probability and mathematics of finance will be covered.  Students will be able to experience some deep and meaningful mathematics without complex mechanics hindering their grasp.  This course is highly recommended for students, who will be selecting a major in college that requires more than one math course.  This course is highly recommended for students who are considering college work in business and social sciences. The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Algebra One, Geometry, and Algebra Two before taking this course.

 

A-1381-B  HONORS ALGEBRA II & TRIGONOMETRY  FOR 09-10-11-12  1 UNIT   This accelerated course provides an extension of the concepts developed in Honors Algebra I and Honors Geometry.  New topics include complex numbers, matrices, exponential, logarithmic, and trigonometric functions are reviewed extensively.  The use of a graphing calculator is required.  This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Honors Algebra One and Honors Geometry before taking this course.

 

R-1383-B  TRIGONOMETRY & COLLEGE  ALGEBRA   FOR 11-12  1 UNIT  Trigonometry is presented from an analytic and computational viewpoint. Topics include graphs of trigonometric functions, solving triangles, verifying identities, solving equations and addressing practical applications. College Algebra topics include theory of equations, the study of transcendental functions, elementary matrix algebra, with an introduction to limits.  This course is highly recommended for students, who will be selecting a major in college that requires more than one math course.  The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Algebra One, Geometry, and Algebra Two before taking this course.

 

A-1385-B   HONORS PRE-CALCULUS   FOR 11-12  1 UNIT  This course is designed to cement the concepts from previous courses while developing some new topics to prepare the students for AP Calculus.  New topics will include conic sections, sequences and series, parametric equations, and partial fractions.  The course will provide further study of logarithms, exponential functions, rational functions, theory of equations and curve fitting.  Trigonometry concepts will be reviewed throughout the course.  Special emphasis is placed on the understanding of the algebraic, trigonometric, and transcendental functions (and their varied representations) common to the study of Calculus.  The use of a graphing calculator is required.  The use of a graphing calculator is required. This item may be purchased or rented in the bursar’s office/bookstore. PREREQUISITES: It is highly recommended that students complete the benchmark requirements for Honors Algebra One, Honors Geometry, and Honors Advanced Algebra/Trigonometry before taking this course.

 

801313-  ALGEBRA I 08  FOR 8  1 UNIT  This course is designed for 8th grade students attending one of the 3 district high schools for Algebra One. The course mirrors the curriculum of our Honors Algebra. The course provides and up-to-date development of algebraic concepts which establish a firm basis for successfully pursuing subsequent mathematics courses. Equations, inequalities, polynomials, relations and functions are used as essential tools of algebra. The understanding of these concepts will be enhanced by the use of appropriate applications from geometry, probability, and data analysis. Problem solving skills are stressed.  Students in this course will be placed in the honors lane and will be placed into subsequent honors courses. Each student in this course is required to have a scientific calculator. The student is expected to bring this scientific calculator to class each day. This item may be purchased or rented in the bursar’s office/bookstore. You can check the instructor’s syllabus, if you have any questions regarding the purchase of a calculator. PREREQUISITE: Placement test(s) and area criteria.

 

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