Math

The mathematics curriculum is designed to meet the needs of all students and is structured into three distinct sequences (course flow map) based upon student abilities. Students are required to take 3 credits of mathematics to graduate. It is recommended that a student be enrolled in a mathematics course each year. Students will be placed into their initial courses upon entry into Batavia High School and freshmen are required to complete coursework through any level of Intermediate Algebra. Beginning sophomore year, students may elect to take two mathematics courses consecutively.

Core Algebra
(2 terms, 1 credit)
Prerequisite: Placement by current math teacher and counselor
Level: Fr
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Core Algebra is designed for those students who would need additional support with the traditional Algebra course. Core Algebra focuses on the study of variables and linear equations. Graphing techniques, abstract reasoning skills, and problem solving skills are developed and applied to real life situations. Core Algebra provides a strong base for future mathematics, science, and business-related courses. While similar algebra skills are covered, the material is paced to permit for mastery of content and further skill development.

Topics include: the language of algebra, real numbers, solving linear equations, graphing relations and functions, analyzing linear equations, solving linear inequalities, systems of equations & inequalities, and statistics.

Algebra
(2 terms, 1 credit)
Prerequisite: Placement by current math teacher and counselor
Level: Fr
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Algebra is the foundational high school algebra course with a focus on the study of variables and linear equations. Graphing techniques, abstract reasoning skills, and problem solving skills are developed and applied to real life situations. Algebra provides a strong base for future mathematics, science, and business-related courses.

Topics include: the language of algebra, real numbers, solving linear equations, graphing relations and functions, analyzing linear equations, solving linear inequalities, systems of equations and inequalities, statistics, and probability.

Core Intermediate Algebra
(2 terms, 1 credit)
Prerequisite: Core Algebra
Level: Fr
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Core Intermediate Algebra is designed for those students who would need additional support with the traditional Intermediate Algebra course. Core Intermediate Algebra extends the study of algebra, its applications, and provides the bridge between Core Algebra and Core Advanced Algebra. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. While similar algebra skills are covered, the material is paced to permit for mastery of content and further skill development.

Topics include: polynomials, factoring, quadratic and exponential functions, radical expressions, rational expressions and equations, analyzing equations and inequalities, graphing linear relations and functions, solving systems of linear equations and inequalities, and using matrices.

Intermediate Algebra
(2 terms, 1 credit)
Prerequisite: Algebra
Level: Fr
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Intermediate Algebra extends the study of algebra, its applications, and provides the bridge between Algebra and Advanced Algebra. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process.

Topics include: polynomials, factoring, quadratic and exponential functions, radical expressions, rational expressions and equations, analyzing equations and inequalities, graphing linear relations and functions, solving systems of linear equations and inequalities, and using matrices.

Intermediate Algebra (Honors)
(2 terms, 1 credit)
Prerequisite: Algebra
Level: Fr
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Honors Intermediate Algebra extends the study of algebra, its applications, and provides the bridge between Algebra and Advanced Algebra Honors. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. The honors level course is for the student who shows exceptional mathematics ability and is willing to be challenged to think critically. Participation in the mathematics competition is expected.

Topics include: polynomials, factoring, quadratic and exponential functions, radical expressions, rational expressions and equations, analyzing equations and inequalities, graphing linear relations and functions, solving systems of linear equations and inequalities, and using matrices

Core Geometry
(2 terms, 1 credit)
Prerequisite: Core Intermediate Algebra
Level: Soph
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Core Geometry is designed for those students who would need additional support with the traditional Geometry course. Core Geometry deals with two and three dimensional figures and their properties. Basic terms to polygons and solids, visualization, pictorial representations, technology, and hands-on discovery are emphasized. Algebra is strongly integrated into this course in solving geometry problems. Realistic and relevant applications of concepts and logical thinking processes are made to real-life problem settings. While similar geometry skills are covered, the material is paced to permit for mastery of content and further skill development.

Topics include: the tools of geometry, reasoning and proof, parallel and perpendicular lines, congruent triangles, relationships in triangles, quadrilaterals, proportions and similarity, trigonometry, circles, area, surface area, and volume.

Geometry
(2 terms, 1 credit)
Prerequisite: Intermediate Algebra
Level: Fr, Soph
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Geometry deals with two and three dimensional figures and their properties. Basic terms to polygons and solids, visualization, pictorial representations, technology, and hands-on discovery are emphasized. Attention is given to developing logical thinking processes through various forms of proof. Algebra is strongly integrated into this course. Realistic and relevant applications of concepts and logical thinking processes are made to real-life problem settings.

Topics include: the tools of geometry, reasoning and proof, parallel and perpendicular lines, congruent triangles, relationships in triangles, quadrilaterals, proportions and similarity, trigonometry, circles, area, surface area, and volume.

Geometry (Honors)
(2 terms, 1 credit)
Prerequisite: Intermediate Algebra Honors
Level: Fr, Soph
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Honors Geometry deals with two and three dimensional figures and their properties. Basic terms to polygons and solids, visualization, pictorial representations, technology, and hands-on discovery are emphasized. Attention is given to developing logical thinking processes through various forms of proof. Algebra is strongly integrated into this course in solving geometry problems. Realistic and relevant applications of concepts and logical thinking processes are made to real-life problem settings. The honors level course is for the student who shows exceptional mathematics ability and is willing to be challenged to think critically. Participation in the mathematics competition is expected.

Topics include: the tools of geometry, reasoning and proof, parallel and perpendicular lines, congruent triangles, relationships in triangles, quadrilaterals, proportions and similarity, trigonometry, circles, area, surface area, and volume.

Core Advanced Algebra
(2 terms, 1 credit)
Prerequisite: Core Geometry
Level: Soph, Jr, Sr Elective
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Core Advanced Algebra is designed for those students who would need additional support with the traditional Advanced Algebra course. Core Advanced Algebra is the capstone algebra course designed to prepare students for college entrance exams and other higher level math courses. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. While similar algebra skills are covered, the material is paced to permit for mastery of content and further skill development.

Topics include: radical expressions, quadratic functions and inequalities, polynomial functions, rational expressions and equations, exponential and logarithmic relations, and conic sections

Advanced Algebra
(2 terms, 1 credit)
Prerequisite: Geometry
Level: Soph, Jr, Sr Elective|
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Advanced Algebra is the capstone algebra course designed to prepare college bound students for college entrance exams and other higher level math courses. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process.

Topics include: quadratic functions and inequalities, polynomial functions, radical equations and inequalities, rational expressions and equations, exponential and logarithmic relations, conic sections, and probability and statistics.

Advanced Algebra (Honors)
(2 terms, 1 credit)
Prerequisite: Geometry Honors
Level: Soph, Jr Elective
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Honors Advanced Algebra is the capstone algebra course designed to prepare college bound students for college entrance exams and other higher level math courses. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. The honors level course is for the student who shows exceptional mathematics ability and is willing to be challenged to think critically. Participation in the mathematics competition is expected.

Topics include: quadratic functions and inequalities, polynomial functions, radical equations and inequalities, rational expressions and equations, exponential and logarithmic relations, conic sections, sequences and series, and probability and statistics.

Transition To College Mathematics
(1 Sem, 1 Credit)|
Prerequisite: Adv. Algebra or Core Adv. Algebra
Level: Sr
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Transition to College Mathematics is designed for those students who need additional preparation and review in order to be college and career ready in mathematics. The course is specifically designed to help prepare students for college placement exams that are used at most colleges and universities to determine what courses freshmen may register for. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process.

Pre-Calculus with Trigonometry
(2 terms, 1 credit)
Prerequisite: Advanced Algebra
Level: Soph, Jr, Sr Elective
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Pre-calculus and Trigonometry is designed to prepare college bound students for Calculus and other higher level math courses. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process.

Topics include: trigonometric functions, trigonometric equations, trigonometric applications, triangle trigonometry, trigonometric addition formulas, polar coordinates, complex numbers, vectors, sequences and series, and probability.

Pre-Calculus with Trigonometry (Honors)
(2 terms, 1 credit)
Prerequisite: Advanced Algebra Honors
Level: Soph, Jr, Sr Elective
Fee: None – a graphing calculator (TI-84 or equivalent) is required.
Honors Pre-Calculus and Trigonometry is designed to prepare college-bound students for Calculus and other higher level math courses. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. The honors level course is for the student who shows exceptional mathematics ability and is willing to be challenged to think critically. Participation in the mathematics competition is expected.

Topics include: trigonometric functions, trigonometric equations, trigonometric applications, triangle trigonometry, trigonometric addition formulas, polar coordinates, complex numbers, vectors, limits, and derivatives.

Calculus I
(2 terms, 1 credit, 4 credit hours at WCC)
Prerequisite: Pre-Calculus with Trigonometry
Level: Jr, Sr Elective
Fee: A $32 fee may be assessed should the student elect to pursue dual credit.  A graphing calculator (TI-84 or equivalent) is required.
Calculus I is equivalent to the content in the first course of a three semester college calculus sequence. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process.

Topics include limits, differentiation, applications of differentiation, integration, applications of integration, and transcendental functions.

Students enrolled in this course will have the option to receive Dual Credit for this course from Waubonsee Community College.  This course is the equivalent of MTH 131 at WCC and is an Illinois Articulated Course.  Students and parents pursuing Dual Credit should confer with their potential college choices about the transferability of this course.

Calculus II
(2 terms, 1 credit, 4 credit hours at WCC)
Prerequisite: Calculus I
Level: Sr Elective
Fee: A $32 fee may be assessed should the student elect to pursue dual credit.  A graphing calculator (TI-84 or equivalent) is required.
Calculus II is equivalent to the content in the second course of a three semester college calculus sequence. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process.

Topics include exponential and logarithmic functions, calculus of trigonometric functions, volumes and other applications of integration, formal integration techniques, indeterminate forms, L’Hopitals rule, improper integrals, sequences and series, convergence tests, Taylor’s formula, Taylor and Maclaurin series.

Students enrolled in this course will have the option to receive Dual Credit for this course from Waubonsee Community College.  This course is the equivalent of MTH 132 at WCC and is an Illinois Articulated Course.  Students and parents pursuing Dual Credit should confer with their potential college choices about the transferability of this course.

AP Calculus I (AB)
(2 terms, 1 credit, 4 credit hours at WCC)
Prerequisite: Pre-Calculus with Trigonometry Honors
Level: Jr, Sr Elective
Fee: $35.50  – an additional $32 fee may be assessed should the student elect to pursue dual credit.  A graphing calculator (TI-84 or equivalent) is required.
AP Calculus I (AB) is equivalent to the content in the first course of a three semester college calculus sequence and prepares students to take the Advanced Placement – Calculus AB test. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. The AP level course is for the student who shows exceptional mathematics ability and is willing to be challenged to think critically.

Topics include limits, differentiation, applications of differentiation, integration, applications of integration, and transcendental functions.

Students enrolled in this course will have the option to receive Dual Credit for this course from Waubonsee Community College.  This course is the equivalent of MTH 131 at WCC and is an Illinois Articulated Course.  Students and parents pursuing Dual Credit should confer with their potential college choices about the transferability of this course.

AP Calculus II (BC)
(2 terms, 1 credit, 4 credit hours at WCC)
Prerequisite: AP Calculus I (AB)
Level: Sr Elective
Fee: $37.50  – an additional $32 fee may be assessed should the student elect to pursue dual credit.  A graphing calculator (TI-84 or equivalent) is required.
AP Calculus II (BC) is a second course in calculus and analytic geometry, and is a continuation of AP Calculus I (AB) and prepares students to take the Advanced Placement – Calculus BC test. The course makes regular use of the graphing calculator to make technology an integral part of the problem solving process. The AP level course is for the student who shows exceptional mathematics ability and is willing to be challenged to think critically.

Topics include exponential and logarithmic functions, calculus of trigonometric functions, volumes and other applications of integration, formal integration techniques, indeterminate forms, L’Hopitals rule, improper integrals, sequences and series, convergence tests, Taylor’s formula, Taylor and Maclaurin series.

Students enrolled in this course will have the option to receive Dual Credit for this course from Waubonsee Community College.  This course is the equivalent of MTH 132 at WCC and is an Illinois Articulated Course.  Students and parents pursuing Dual Credit should confer with their potential college choices about the transferability of this course.

 

College Algebra: Dual Credit
(2 terms, 1 credit at BHS, 4 credit hours at WCC)
Prerequisite: Successful completion of Precalculus with Trigonometry or higher and a math ACT score of 22 or higher
Level: Sr Elective
Fee: A $32 fee may be assessed should the student elect to pursue dual credit.  A graphing calculator (TI-84 or equivalent) are required.
This college level course is designed to provide the students with basic algebraic concepts necessary to continue in other college mathematics courses. Topics include: real numbers, complex numbers, solutions of inequalities and equations, coordinate systems, functions, polynomials, rational functions, exponential and logarithmic functions, graphing and transformations of functions, and systems of equations.

Students enrolled in this course will have the option to receive Dual Credit for this course from Waubonsee Community College.  This course is the equivalent of MTH 111 at WCC.  Students and parents pursuing Dual Credit should confer with their potential college choices about the transferability of this course.

Basic Statistics: Dual Credit
(2 terms, 1 credit at BHS, 3 credit hours at WCC)
Prerequisite: Successful completion of Advanced Algebra or higher and a math ACT score of 22 or higher
Level: Jr, Sr Elective
Fee: A $24 fee may be assessed should the student elect to pursue dual credit.  A graphing calculator (TI-84 or equivalent) are required.|
This college level course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation.  Topics include: descriptive methods (frequency distributions, graphing and measures of location and variation), basic probability theory (sample spaces, counting, factorials, combinations, permutations, and probability laws), probability distributions (normal distributions and normal curve, binomial distribution, and random samples and sampling techniques), statistical inference (estimation, hypothesis testing, t-test, and chi-square test, and errors), correlation and regression, and f-test and analysis of variance.

Students enrolled in this course will have the option to receive Dual Credit for this course from Waubonsee Community College.  This course is the equivalent of MTH 107 at WCC and is an Illinois Articulated Course.  Students and parents pursuing Dual Credit should confer with their potential college choices about the transferability of this course.