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Algebra I Part I
This course covers the four fundamental operations of arithmetic from the standpoint of algebra. It will strongly emphasize solving equations and inequalities, as well as factoring polynomials. Students will graph lines and study their slopes and intercepts. Other topics covered within this course are exponents, systems of equations, quadratic equations and functions. This course frequently applies the fundamental algebraic concepts learned to solving real-life word problems. Among its many applications are statistics and probability, and geometry. Weekly skillsheets are a component to this course. Open to grades 8, 9. Prerequisite for 8th grade entrance is at least a 75% in Pre-Algebra.
Algebra I Part II
This course continues to cover the four fundamental operations of arithmetic from the standpoint of algebra. It will strongly emphasize solving systems of linear equations and inequalities, as well as factoring polynomials. Students will continue to drill fundamental skills developed in Algebra I Part I. Other topics covered within this course are exponents, quadratic functions, calculating percent and functions. This course frequently applies the fundamental algebraic concepts learned to solving real-life word problems. Among its many applications are statistics and probability, and geometry. Weekly skillsheets are a component to this course. Open to grades 8, 9. Prerequisite is Algebra I Part I.
Geometry
Geometry helps students think logically and deductively. This course emphasizes the skills of drawing, measurement and visualization. Geometric properties, deductive reasoning and algebraic representations are also a primary focus. Coordinates, transformations, area and volume are studied early, developing the logical and conceptual understanding needed for concentrated work with proof-writing. Weekly skillsheets are a component to this course. Open to grades 9, 10. Prerequisite is Algebra I. Students will need a compass, protractor, ruler (marked in both centimeters, and inches),and a scientific calculator.
Honors Geometry
Course description is the same as Geometry except the material is covered in more depth and/or at a more rapid pace. Students will be required to do a project with each of the 6 chapters in Semester 1 and will do 3 projects extra during semester 2. Weekly skillsheets are a component to this course. Open to grades 9, 10. Prerequisite is an A or B in Algebra I, and teacher recommendation. Students will need a compass, protractor, ruler (marked in both centimeters, and inches), and a scientific calculator.
Algebra II
Algebra II is a highly integrated study of the symbolism of algebra, solving equations, simplifying expressions, and functions. Students will develop skills in manipulating linear, quadratic, exponential, logarithmic, and trigonometric expressions and sentences. Weekly skillsheets are a component to this course. Open to grades 9, 10, 11. Prerequisites are Algebra I and Geometry. Student will need a graphing calculator (Texas Instruments TI-84+ recommended).
Honors Algebra II / Trigonometry
This course will provide a fast-paced study of both advanced algebra and trigonometry: linear and quadratic equations; polynomial, rational, exponential, logarithmic and trigonometric functions; systems of equations and inequalities; graphing of sinusoidal functions; and applications of trigonometry. Upon completion of this course, students will be well prepared for precalculus, discrete mathematics and statistics. Weekly skillsheets are a component to this course. Open to grades 10, 11. Prerequisites are Algebra I, at least a 90% in Honors Geometry, and teacher recommendation. Students will need a graphing calculator (Texas Instruments TI-84+ recommended).
Statistics and Trigonometry
This course will give students a full semester of both statistics and trigonometry, yet the two topics will be combined throughout the entire year. Statistical concepts will be integrated with graphical and algebraic concepts through the construction of mathematical models of relationships in data sets. A computer statistics package will be used to model linear, quadratic, higher-order, polynomial, exponential, logarithmic, and trigonometric functions. Binomial and normal distributions will also be covered. Trigonometry will include the right triangle and unit circle definitions of trigonometric functions, their application to the finding of lengths and angle measures in any triangle, their graphs, trigonometric identities, and their applications to polar coordinates and to the finding of powers and roots of complex numbers. Weekly skillsheets are a component to this course. Open to grades 10, 11, 12. Prerequisites are Algebra I, Geometry, and Algebra II. Students will need a graphing calculator (Texas Instruments TI-84+ recommended).
Honors Statistics and Trigonometry
Course description is the same as Statistics and Trigonometry, except the material is covered in more depth and/or at a more rapid pace. Weekly skillsheets are a component to this course. Open to grades 10, 11, 12. Prerequisites are Algebra I, Geometry, at least a 90% in Honors Algebra II and teacher recommendation. Students will need a graphing calculator (Texas Instruments TI-84+ recommended).
Introduction to College Mathematics
Introduction to College Mathematics develops topics which were introduced in Geometry and Algebra II. This course will give the student a broad base and sharpen skills needed to succeed in College Algebra. Weekly skillsheets are a component to this course. Open to grades 12. Prerequisites are Algebra I, Geometry, and Algebra II.
Precalculus and Discrete Mathematics
This course will give students a full semester of both precalculus and discrete mathematics, yet the two topics will be combined throughout the entire year. Students will review polynomial, exponential, logarithmic and trigonometric functions while focusing on rational functions. Calculus concepts will be explored visually through the use of an automatic grapher. Discrete math will include work with algorithms, combinatorics, graphs and circuits, recursion and integers. Calculus ideas will be approached through the study of continuous functions by examining their values at a set of discrete points. Weekly skillsheets are a component to this course. Open to grades 11, 12. Prerequisites are Algebra I, Geometry, Algebra II, Statistics and Trigonometry. Students will need a graphing calculator (Texas Instruments TI-84+ recommended).
Calculus I / II
ACS cooperates with Waubonsee Community College in offering calculus. (Your student must test into Calculus by taking the WCC placement test in order to be eligible for this opportunity.) During the fall term, students will take Calculus I; and during the spring term, students will have the option of taking Calculus II or a Project Mathematics Internship here at ACS.
Fees for the WCC classes will be subsidized by ACS; however, students will be required to buy their Calculus textbooks (which are used for Calculus I, II, and III) costing approximately $120.00. Students must follow the WCC calendar, which lines up closely with our school year. Students also will need to provide their own transportation to and from WCC Sugar Grove campus. On off days, students will have time to do their calculus homework, ask questions, and receive tutoring/help from a teacher at ACS. The Project Mathematics Internship (non-weighted class) will be supervised and graded by a math teacher. Students will be required to write worksheets and quizzes for a lower level math class and will also teach various lessons. Depending on the student’s interests and abilities, he/she will be assigned projects to complete (math fieldtrip design and implementation, math web page design, etc.). HS Prerequisites are Trigonometry, Precalculus, and WCC placement. Taken through Waubonsee Community College.
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