Mathematics

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In high school mathematics students will focus on college and career readiness. The high school mathematics courses follow a sequence targeting post secondary experiences of students. Students will all start on a targeted sequence: Algebra I, Geometry, Algebra II and then have additional options in higher mathematics targeted towards their postsecondary focus.

Elective Courses

Algebra I (3304/3305)
Length: 2 semesters
Credit: 1.0 unit
Grade: 9
Other Info: This course will count toward the Math graduation requirement.
This course is an integrated study of skills and techniques traditionally associated with algebra and elementary geometry. This Algebra course is a rigorous course, which is a prerequisite for accelerated mathematics courses including Honors Geometry. Students enrolling in this class should have strong computational skills with fractions, integers, and decimals. Some topics presented are properties of real numbers, function notation, and evaluation of variable expressions. The student will learn to solve equations and inequalities, graph functions, and solve systems of linear equations. Also, this course contains the study of nonlinear relationships, which includes operations with exponents and radicals, polynomial expressions, and solutions to radical equations. Finally, students will learn to solve and graph quadratic relationships along with topics in statistics and probability. Throughout the course, algebraic skills will be linked to problem solving and critical thinking.

Algebra I Extension (3806/3807)
Length: 2 semesters
Credit: 1.0 unit
Grade: 9
Other Info: Students will receive one elective credit for successful completion of this course.
This course is taken in addition to Algebra I The extension period will precede the Algebra 1 course in the student’s schedule. It will aid students in algebra success by incorporating different strategies which include preteaching content before their algebra course, reteaching concepts, motivational strategies, note taking skills, and focusing on specific learning targets.

Geometry (3312/3313)
Length: 2 semesters
Credit: 1.0 unit
Grade: 9, 10, 11, 12
Prerequisite: Algebra I.
Other Info: This course will count toward the Math graduation requirement.
This course is a rigorous study of the fundamentals of geometry. Geometric reasoning and proof are developed and applied to triangles, congruent triangles, properties of quadrilaterals, parallel lines, perpendicular lines, and properties of circles. In addition, students will explore the relationships of right triangles, similar triangles, and elementary trigonometry. Area, surface area and volume of polygons and polyhedral will also be studied. Geometric relationships are developed using coordinate geometry techniques. Algebraic skills are reinforced through use in developing geometric concepts and their applications.

Geometry (3412/3413)
Length: 2 semesters
Credit: 1.0 unit
Grade: 9, 10, 11, 12
Prerequisite: Algebra I with a B or higher.
Other Info: This course will count toward the Math graduation requirement.
This course is a rigorous study of the fundamentals of geometry. Geometric reasoning and proof are developed and applied to triangles, congruent triangles, properties of quadrilaterals, parallel lines, perpendicular lines, and properties of circles. In addition, students will explore the relationships of right triangles, similar triangles, and elementary trigonometry. Area, surface area and volume of polygons and polyhedral will also be studied. Geometric relationships are developed using coordinate geometry techniques. Algebraic skills are reinforced through use in developing geometric concepts and their applications.

Algebra II (3315/3316)
Length: 2 semesters
Credit: 1.0 unit
Grade: 10, 11, 12
Prerequisite: Geometry.
Other Info: A graphing calculator, while not required, would be a helpful tool in this course and is needed on the SAT.
In Algebra II students will review essential Algebra 1 concepts such as graphing linear equations, solving linear systems, and factoring polynomials. A major theme throughout this course is transformations of graphs; transformations will be analyzed with the following functions: quadratic, polynomial, radical, and rational. Students will also solve equations involving the same types of functions. Sequences and series will be introduced after students have a solid foundation with logarithms. Students will also go through an indepth statistics unit, wherein students explore how mean and standard deviation are related to each other, as well as explore margin of error and confidence intervals.

Algebra II (3415/3416)
Length: 2 semesters
Credit: 1.0 unit
Grade: 10, 11, 12
Prerequisite: Geometry with a B or higher.
Other Info: A graphing calculator, while not required, would be a helpful tool in this course and is needed on the SAT.
In Algebra II students will review essential Algebra 1 concepts such as graphing linear equations, solving linear systems, and factoring polynomials. A major theme throughout this course is transformations of graphs; transformations will be analyzed with the following functions: quadratic, polynomial, radical, and rational. Students will also solve equations involving the same types of functions. Sequences and series will be introduced after students have a solid foundation with logarithms. Students will also go through an indepth statistics unit, wherein students explore how mean and standard deviation are related to each other, as well as explore margin of error and confidence intervals.

Algebra II Extension (3821/3822)
Length: 2 semesters
Credit: 1.0 unit
Grade: 10, 11, 12
Prerequisite: Teacher recommendation.
Other Info: Students will receive one elective credit for successful completion of this course.
This course is taken in addition to Algebra II. The extension period will precede the Algebra II course in the student’s schedule. It will aid students in algebra success by incorporating different strategies which include preteaching content before their algebra course, reteaching concepts, motivational strategies, note taking skills, and focusing on specific learning targets.

PreCalculus with Trigonometry (3315/3316)
Length: 2 semesters
Credit: 1.0 unit
Grade: 11, 12
Prerequisite: Algebra II (3415/3416) with a C or higher.
Other Info: A graphing calculator is required for this class. The recommended model is Tl84Plus. This course will count toward the Math graduation requirement.
This course is required for the student who plans to study AP Calculus. The course includes the review and study of linear, radical, rational, and polynomial functions and their graphs. Also, zeros of polynomials, derivatives, critical points of graphs, and inverse functions are explored. Topics useful for the study of calculus such as trigonometric identities, inverse trigonometric functions, polar coordinates, complex numbers, normal forms and rotation of axes are presented. The course concludes with a review of exponential and logarithmic functions, sequences, and series.

PreCalculus with Trigonometry (3420/3421)
Length: 2 semesters
Credit: 1.0 unit
Grade: 11, 12
Prerequisite: Algebra II (3415/3416) with a B or higher.
Other Info: A graphing calculator is required for this class. The recommended model is Tl84Plus. This course will count toward the Math graduation requirement.
This course is required for the student who plans to study AP Calculus. The course includes the review and study of linear, radical, rational, and polynomial functions and their graphs. Also, zeros of polynomials, derivatives, critical points of graphs, and inverse functions are explored. Topics useful for the study of calculus such as trigonometric identities, inverse trigonometric functions, polar coordinates, complex numbers, normal forms and rotation of axes are presented. The course concludes with a review of exponential and logarithmic functions, sequences, and series.

Robot Engineering and Coding (3844/3845)
Length: 2 semesters
Credit: 1.0 unit
Grade: 10, 11, 12
Prerequisite: AP Computer Science of AP Computer Science Principles.
Other Info: JHS only.
Students will walk through the design and build a mobile robot to play a sportlike game. During the process they will learn key STEM principles, robotics concepts and the RobotC computer language. At the culmination of this course they will compete headtohead against peers in the classroom.

Expanding Mathematics through Application (3842/3343)
Length: 2 semesters
Credit: 1.0 unit
Grade: 12
Prerequisite: Algebra 2.
Other Info: This course will count toward the Math graduation requirement.
This course is intended for students that are college bound. The objectives of this course are those of the 096 and 098 math curriculum at Elgin Community College. Students will cover these objectives through an application rich course along with study skills that have been identified by ECC faculty. Students will take a pretest of the ALEKS assessments to assess college readiness.

Intro to Computer Science (3833/3834)
Length: 2 semesters
Credit: 1.0 unit
Grade: 9, 10, 11, 12
Prerequisite: Geometry.
Other Info: JHS only.
This course will count toward the Strand 2 graduation requirement. Students learn the fundamentals of computer programming in this course. Topics studied are looping structures, arrays, files, and incorporation of sound and graphics into programs. Students who take this course should enjoy problem solving and be able to work independently as well as cooperatively. This course does not fulfill any part of the mathematics graduation requirement.

AP Calculus AB (3526/3527)
Length: 2 semesters (this course is scheduled as a double period for a full year)
Credit: 2.0 units
Grade: 11, 12
Prerequisite: PreCalculus with a B or better.
Other Info: A graphing calculator is required for this class. The recommended model is Tl84Plus. This course will count toward the Math graduation requirement.
Advanced Placement Calculus covers the College Board requirements in preparation for the Advanced Placement Calculus Exam. Topics are typical to those offered in a first semester college course. Precalculus mathematics is reinforced. Limit theory, derivatives, antiderivatives, and integration are studied in relation to their applications in science and mathematics. Broad concepts are emphasized using multiple representations. Upon completion of the class, students are encouraged to take the AP Exam for possible college credit.

AP Calculus BC (3528/3529)
Length: 2 semesters (this course is scheduled as a double period for a full year)
Credit: 2.0 units
Grade: 11, 12
Prerequisite: PreCalculus with a B or better.
Other Info: A graphing calculator is required for this class. The recommended model is Tl84Plus. This course will count toward the Math graduation requirement.
Calculus BC is a fullyear course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses represent collegelevel mathematics for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB. Upon completion of the class, students are encouraged to take the AP Exam for possible college credit.

AP Statistics (3531/3532)
Length: 2 semesters
Credit: 1.0 unit
Grade: 10, 11, 12
Prerequisite: Algebra 2 with a B or better.
Other Info: A graphing calculator is required for this class. The calculator model must be a Tl84Plus. This course will count toward the Math graduation requirement.
Advanced Placement Statistics covers the College Board requirements in preparation for the Advanced Placement Statistics Exam. Topics are typical to those offered in a first semester college course. This course will expose students to four broad conceptual themes: Exploring Data, Planning a Study, Anticipating Patterns, and Statistical Inference. Upon completion of the class, students are encouraged to take the AP Exam for possible college credit.

AP Computer Science A (3533/3534)
Length: 2 semesters
Credit: 1.0 unit
Grade: 10, 11, 12
Prerequisite: Algebra II with a B or better.
Other Info: This course will count toward the Strand 2 graduation requirement.
AP Computer Science covers the College Board requirements in preparation for the Advanced Placement Computer Science A Exam. Topics are typical to those offered in a first semester college course. The topics include designing and implementing solutions to problems by writing programs, using and implementing commonly used algorithms and data structures, coding fluently in an object oriented paradigm and utilize the standard AP Java subset, and to read and understand the AP Computer Science case study. Upon completion of the class, students are encouraged to take the AP Exam for possible college credit.

AP Computer Science Principles (3538/3539)
Length: 2 semesters
Credit: 1.0 unit
Grade: 9, 10, 11, 12
Prerequisite: Algebra 1.
Other Info: JHS only.
The AP Computer Science Principles course is designed to be equivalent to a first semester introductory collegecomputing course. The key sections of this course framework are computational thinking practices, abstraction, data and information, algorithms, programming, the internet and the global impact of computers. Upon completion of the class, students are encouraged to take the AP Exam for possible college credit.

ECC Calculus with Analytic Geometry II (ECC MTH 134)
Length: May be taken in the fall or spring semester (Scheduled as a double period for one semester)
Credit: 2.0 units per semester
Grade: 11, 12
Prerequisite: Completion of AP Calculus with grade of ‘A’ or ‘B’ and enrollment in the Middle College Program.
Other Info: An application and interview are required prior to enrollment in the program for the following school year. This class will count toward the graduation requirement for math.
Second of three courses in the college calculus sequence. Topics include the natural logarithmic function, exponential functions, inverse functions, inverse trigonometric functions, hyperbolic functions, applications of integration, integration techniques, indeterminate forms and L’Hopital’s Rule, improper integrals, sequences and series, convergence tests, power series, Taylor polynomials and Taylor series.

ECC Calculus with Analytic Geometry Ill (ECC MTH 201)
Length: May be taken in the spring semester (Scheduled as a double period for one semester)
Credit: 2.0 units per semester
Grade: 11, 12
Prerequisite: ECC Calculus with Analytic Geometry II with grade of ‘A’ or ‘B’ and enrollment in the Middle College Program.
Other Info: An application and interview are required prior to enrollment in the program for the following school year. This class will count toward the graduation requirement for math.
Third and final course in the calculus sequence. Topics include the following: vectors in 2 and 3 dimensions; planes and lines in space, surfaces and quadric surfaces, space curves; cylindrical and spherical coordinates; vector valued functions and their graphs; functions of two or more variables; partial derivatives, directional derivatives, gradients; double and triple integrals; applications involving functions of several variables; vector fields, line integrals and Green’s Theorem; parametric surfaces, surface integrals, the Divergence Theorem and Stokes’ Theorem.

Computer Science Innovations (3856/3857)
Length: 2 semesters
Credit: 1.0 unit
Grade: 12
Prerequisite: AP Computer Science or AP Computer Science Principles.
Other Info: This course will be part of the computer science pathways and also for students planning on taking AP Computer Science.
This course is a rigorous study computer science and will include creating Chrome Webstore apps, Google Addons, apps for multiple platforms, website design and security. Students will be able to obtain different computer certifications.

Quantitative Literacy (3850/3851)
Length: 2 semesters
Credit: 1.0 unit
Grade: 12
Prerequisite: Algebra II.
Other Info: This course is a college readiness math course designed to engage students in real world math.
Emphasis is placed on real world math situations and will introduce the concepts of numeracy, proportional reasoning, dimensional analysis, rates of growth, personal finance, consumer statistics, practical probabilities, and mathematics for citizenship. Upon completion, students should be able to utilize quantitative information as consumers and to make personal, professional, and civic decisions in their everyday life.

Advanced Statistics (3854/3855)
Length: 2 semesters
Credit: 1.0 unit
Grade: 12
Prerequisite: Algebra II.
Other Info: This course is a 4th year math course for students looking to be engaged in mathematical experience of statistics.
As a result of this course, the students will be able to interpret categorical and quantitative data, make inferences and justify their conclusions, use conditional probability and the rules of probability to solve problems and make decisions, they will create equations and reason with those equations to solve problems in a statistical context.