WPS Mathematics Course Descriptions last modified on 2/8/16 9:00 PM High School Math Courses 1010, 1013, 1014, 1015, 1016, 1017, 1018 Algebra I In this course, students will deepen and extend understanding of linear and exponential relationships; contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; extend the laws of exponents to square and cube roots; and apply linear models to data that exhibit a trend. Students will study properties and operations of the real number system; evaluate rational algebraic expressions; solve linear equations and inequalities; graph linear, quadratic and exponential equations; translate word problems into equations; perform operations on and factor polynomials; and solve simple quadratic equations. 1012, 1019 Algebra I In this course, students will deepen and extend understanding of linear and exponential relationships; contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; extend the laws of exponents to square and cube roots; and apply linear models to data that exhibit a trend. Students will study properties and operations of the real number system; evaluate rational algebraic expressions; solve linear equations and inequalities; graph linear, quadratic and exponential equations; translate word problems into equations; perform operations on and factor polynomials; and solve simple quadratic equations. As an honors-level course, content will be covered at an accelerated pace. Students will study topics at a deeper level and will be expected to complete more independent coursework and assignments. 1020, 1023, 1024, 1025, 1026, 1027, 1028 Geometry In this course, students will establish criteria for congruence of triangles based on rigid motions; establish criteria for similarity of triangles based on dilations and proportional reasoning; informally develop explanations of circumference, area, and volume formulas; apply the Pythagorean Theorem to the coordinate plane; prove basic geometric theorems; and extend work with probability. Students will explore more complex geometric situations and deepen their explanations of geometric relationships, presenting and hearing formal mathematical arguments. Transformations are emphasized in this course. 1022, 1029 Geometry In this course, students will establish criteria for congruence of triangles based on rigid motions; establish criteria for similarity of triangles based on dilations and proportional reasoning; informally develop explanations of circumference, area, and volume formulas; apply the Pythagorean Theorem to the coordinate plane; prove basic geometric theorems; and extend work with probability. Students will explore more complex geometric situations and deepen their explanations of geometric relationships, presenting and hearing formal mathematical arguments. Transformations are emphasized in this course. As an honors-level course, content will be covered at an accelerated pace. Students will study topics at a deeper level and will be expected to complete more independent coursework and assignments. WPS Mathematics Course Descriptions 1040, 1043, 1044, 1045, 1046, 1047, 1048 last modified on 2/8/16 9:00 PM Algebra II (formerly Advanced Algebra) In this course, students will perform operations on rational expressions; expand understandings of functions and graphing to include trigonometric functions; synthesize and generalize functions and extend that understanding to logarithmic functions; relate data display and summary statistics to probability, and explore a variety of data collection methods. Students continue to expand and hone their abilities to model situations and solve complicated equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. 1042, 1049 Algebra II (formerly Advanced Algebra) In this course, students will perform operations on rational expressions; expand understandings of functions and graphing to include trigonometric functions; synthesize and generalize functions and extend that understanding to logarithmic functions; relate data display and summary statistics to probability, and explore a variety of data collection methods. Students continue to expand and hone their abilities to model situations and solve complicated equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. As an honors-level course, content will be covered at an accelerated pace. Students will study topics at a deeper level and will be expected to complete more independent coursework and assignments. 1062, 1069 Pre-Calculus In this course, students will extend work with complex numbers; expand understanding of logarithms and exponential functions; use characteristics of polynomial and rational functions to sketch graphs of those functions; and perform operations with vectors. Pre-calculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students’ conceptual understanding of problems and mathematical reasoning in solving problems. Facility with these topics is especially important for students intending to study calculus, physics, and other sciences, and/or engineering in college. As an honors-level course, content will be covered at an accelerated pace. Students will study topics at a deeper level and will be expected to complete more independent coursework and assignments. 1071 Advanced Placement Calculus AB In this course, students will gain an intuitive understanding of the concepts of calculus and experience with its methods and applications. This course introduces calculus and includes the following topics: elementary functions; properties of functions and their graphs; limits and continuity; differential calculus (including definition of the derivative, derivative formulas, theorems about derivatives, geometric applications, optimization problems, and rate-of-change problems); and integral calculus (including antiderivatives and the definite integral). As an Advanced Placement course, college level content will be covered. Students will take the Advanced Placement Examination. WPS Mathematics Course Descriptions 1081 last modified on 2/8/16 9:00 PM Advanced Placement Statistics In this course, students will be introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will be exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. As an Advanced Placement course college level content will be covered. Students will take the Advanced Placement Examination. 1193, 1194, 1196 Algebraic Reasoning In this course, students will accelerate their understanding of Algebra where curricular gaps may exist; upon successful completion of this course the student will be prepared for entry-level college coursework. This course addresses operations of real numbers, graphs of linear equations and inequalities, arithmetic on polynomial expressions, properties of exponents, perimeters and areas of 2D figures, scientific notation, and intrasystem metric conversions. Students will factor polynomials, perform arithmetic operations on rational expressions and complex fractions, solve rational, quadratic and literal equations; apply the Pythagorean Theorem to solve problems, simplify radical expressions containing numerical and variable radicands, and solve systems of linear equations.