Algebra I Academic 9, 10. District Credit: 1 - 2 units The study of functions, data analysis of functional relationships, the properties and attributes of functions, algebraic symbols and expressions, algebraic skills to simplify polynomial expressions and solve equations and inequalities, linear functions and the effects of changes in parameters of linear functions, formulating equations and inequalities from problem situations based on linear functions and systems of linear functions, proportional reasoning, quadratic functions and the effects of changes in parameters of quadratic functions, models for functions that are neither linear nor quadratic. (One state math credit and as much as one state elective credit.) Prerequisite: 75 or better in Mathematics 8 Academic level

Algebraic Explorations 9. District Credit: 1/2 - 1 unit The study of pre-Algebra for students needing additional emphasis on number concepts taught in a concrete and visual manner. Enrollment is based on overall 8th grade TAAS performance as well as mastery of objectives. (Up to one state elective credit.)

Algebra II Academic 10, 11, 12. District Credit: 1/2-1 unit

Algebra II Honors 10, 11, 12. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit The study of linear functions, algebraic skills needed to simplify algebraic expressions and solve equations and inequalities in problem situations, systems of equations and inequalities, algebraic and geometric representations of functions, conic sections, data handling and analysis, quadratic functions and the effects of changes in the parameters of quadratic functions, formulating and solving equations and inequalities from problem situations based on linear functions, quadratic functions, radical functions, rational functions, exponential functions, and logarithmic functions. Prerequisite: Algebra II Academic: Geometry and a strong performance (defined by campus) in second semester of Algebra I Prerequisite: Algebra II Honors: Geometry H or Geometry and meet Honors entry criteria

Algebra II Gifted/Talented Honors 10. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit The study of linear functions, algebraic skills needed to simplify algebraic expressions and solve equations and inequalities in problem situations, systems of equations and inequalities, algebraic and geometric representations of functions, conic sections, data handling and analysis, quadratic functions and the effects of changes in the parameters of quadratic functions, formulating and solving equations and inequalities from problem situations based on linear functions, quadratic functions, radical functions, rational functions, exponential functions, and logarithmic functions. Series and sequences are also introduced. Curriculum will be differentiated for Gifted/Talented students. Prerequisite: Geometry and Gifted/Talented Identification

AP Calculus AB Honors 12. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit The study of functions, graphs, and limits (analysis of graphs, limits of functions including one-sided limits, asymptotic and unbounded behavior, and continuity as a property of functions); derivatives (concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of derivatives, and computation of derivatives); integrals (Riemann sums, interpretations and properties of definite integrals, applications of integrals, Fundamental Theorem of Calculus, techniques of antidifferentiation, applications of antidifferentiation, and numerical approximations to definite integrals). Prepares students for the College Board Advanced Placement AB Calculus examination. Prerequisite: a strong performance in Precalculus (determined by campus).

AP Calculus Honors BC 12. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit The study of functions, graphs, and limits (analysis of graphs, limits of functions including one-sided limits, asymptotic and unbounded behavior, continuity as a property of functions, and parametric, polar, and vector functions); derivatives (concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of derivatives, and computation of derivatives); integrals (Riemann sums, interpretations and properties of definite integrals, applications of integrals, Fundamental Theorem of Calculus, techniques of antidifferentiation, applications of antidifferentiation, and numerical approximations to definite integrals); polynomial approximations and series (concept of series, series of constants, and Taylor series). Prepares students for the College Board Advanced Placement BC Calculus examination. Prerequisite: Precalculus Honors or GT

AP Calculus BC Gifted/Talented Honors 12. MHS, NHS, SWHS, SHS Credit: 1 unit The study of functions, graphs, and limits (analysis of graphs, limits of functions including one-sided limits, asymptotic and unbounded behavior, continuity as a property of functions, and parametric, polar, and vector functions); derivatives (concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of derivatives, and computation of derivatives); integrals (Riemann sums, interpretations and properties of definite integrals, applications of integrals, Fundamental Theorem of Calculus, techniques of antidifferentiation, applications of antidifferentiation, and numerical approximations to definite integrals); polynomial approximations and series (concept of series, series of constants, and Taylor series). Prepares students for the College Board Advanced Placement BC Calculus examination. Curriculum will be differentiated for Gifted/Talented students. Prerequisite: Precalculus and Gifted/Talented Identification

Geometry Academic 9, 10, 11, 12. District Credit: 1 unit

Geometry Honors 9, 10, 11, 12. MHS, NHS, SWHS, SHS Credit: 1 unit The study of the structure of an axiomatic system, conjectures, logical reasoning, justification, and proof, solving problems using geometric relationships, two- and three-dimensional geometric figures, three-dimensional objects and related two-dimensional representations, geometric representations using a coordinate system, area, perimeter, and volume in problem situations, properties and relationships in geometric figures, congruence and similarity to justify properties of figures and solve problems. The geometry course is designed for a range of instructional approaches, from an informal focus, to a more formal course, or a blend of both approaches. Each approach will help the student become proficient at reasoning, become knowledgeable about geometric structure and be able to use geometry to represent and solve problems in the world outside of school. Prerequisite: Geometry Academic: Algebra I or 1-4 Prerequisite: Geometry Honors: Algebra I Honors or Honors entry criteria

Geometry Gifted/Talented Honors 9. MHS, NHS, SWHS, SHS Credit: 1 unit The study of the structure of an axiomatic system, conjectures, logical reasoning, justification, and proof, solving problems using geometric relationships, two- and three-dimensional geometric figures, three-dimensional objects and related two-dimensional representations, geometric representations using a coordinate system, area, perimeter, and volume in problem situations, properties and relationships in geometric figures, congruence and similarity to justify properties of figures and solve problems. The geometry course is designed for a range of instructional approaches, from an informal focus, to a more formal course, or a blend of both approaches. Each approach will help the student become proficient at reasoning, become knowledgeable about geometric structure and be able to use geometry to represent and solve problems in the world outside of school. Curriculum will be differentiated for Gifted/Talented students. Prerequisite: Algebra I and Gifted/Talented Identification

Independent Study in Mathematics Academic 12. District Credit: 1/2-1 unit

Independent Study in Mathematics Honors 12. MHS, NHS, SWHS Credit: 1/2-1 unit Additional topics such as theory of equations, number theory, non-Euclidean geometry, advanced survey of mathematics, or history of mathematics are available for independent study for the exceptional student who qualifies for additional mathematics beyond the regular curriculum. Individual programs will be arranged with the mathematics department. Prerequisite: Algebra II

Mathematical Models with Applications 11, 12. District Credit: 1/2-1 unit The study of a variety of strategies and approaches to solve both routine and non-routine problems; graphical and numerical techniques to study patterns and analyze data; developing and implementing plans for collecting and analyzing data in order to made decisions; probability models to describe everyday situations involving chance; functional relationships to solve problems related to personal income; algebraic formulas, graphs, and amortization models to solve problems involving credit; algebraic formulas, numerical techniques, and graphs to solve problems related to financial planning; algebraic and geometric models to describe situations and solve problems and to represent patterns and structures. Prerequisite: Algebra I

Precalculus Academic 11, 12. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit

Precalculus Honors 11, 12. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit The study of functions including polynomial, rational, radical, exponential, logarithmic, trigonometric, and piecewise-defined functions, symbolic representations of functions and operations on functions, functions and their properties to model and solve real-life problems, sequences and series to represent, analyze, and solve real-life problems, conic sections, their properties, and parametric representations to model physical situations, and vectors to model physical situations. Prerequisite: Precalculus Academic: Geometry and Algebra II with 75 or better in second semester Algebra II Prerequisite: Precalculus Honors: Algebra II H and Geometry H or Algebra II and Geometry and Honors entry criteria.

Precalculus Gifted/Talented Honors 11. MHS, NHS, SWHS, SHS Credit: 1/2-1 unit The study of functions including polynomial, rational, radical, exponential, logarithmic, trigonometric, and piecewise-defined functions, symbolic representations of functions and operations on functions, functions and their properties to model and solve real-life problems, sequences and series to represent, analyze, and solve real-life problems, conic sections, their properties, and parametric representations to model physical situations, and vectors to model physical situations. Curriculum will be differentiated for Gifted/Talented students. Prerequisite: Geometry and Algebra II and Gifted/Talented Identification

AP Statistics Honors 10, 11, 12. MHS, SHS Credit: 1/2-1 unit The study of exploring data (observing patterns and departures from patterns), planning a study (decide what and how to measure), anticipating patterns (produce models using probability and simulation), and statistical inference (confirming models). Available at some campuses. Prepares students for the College Board Advanced Placement Statistics examination. Prerequisite: Algebra II