MATHEMATICS

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1 MATHEMATICS Course Credit Length(wks) Exam Algebra Regents Geometry Geometry Honors Regents Regents Algebra 2 / Trigonometry Regents Algebra 2 / Trig Honors Regents Intermediate Algebra Pre-Calculus Local Local Pre-Calculus Honors Local Advanced Algebra Local Advanced Algebra 1 Local Advanced Algebra 2 Local AP Statistics AP AP Calculus AP IB Mathematical Studies SL 2 units 80 IB IB Mathematics SL 2 units 80 IB MATHEMATICS REQUIREMENT FOR GRADUATION: ALL STUDENTS Entering grade 9 in September Regents Diploma 3 units of Mathematics and passing of one regents examinations (Integrated Algebra, Geometry, Algebra 2/Trigonometry) Regents Diploma with Advanced Designation 3 units of Mathematics and passing of 3 regents examinations (Integrated Algebra, Geometry, Algebra 2/Trigonometry) CALCULATOR REQUIREMENT: It is recommended that a student has a TI-83+ or TI-84+ graphing calculator for all Algebra 2/Trig, Pre-Calculus, AP Calculus, AP Stats classes. These calculators are also used in many of our science courses and at many colleges. Students are allowed to use them on the Regents Exams. Class sets of these calculators are available for in-class use. RECOMMENDATION: Any student considering a 2-year or 4-year program in college should select a full 4-year sequence of high school mathematics; appropriate to his/her ability. ACADEMIC INTERVENTION SERVICES (AIS): Any student who enters 9 th grade and who scored a 1 or 2 on the eighth grade Regents Mathematics Assessment and/or any student who fails the Math A Regents Assessment will be required to receive mathematics remediation beyond their regularly scheduled mathematics course. COURSE TITLES: Integrated Algebra A Integrated Algebra B Intermediate Algebra Advanced Algebra 2 Integrated Algebra A SC Integrated Algebra B - SC Algebra 2/Trigonometry Pre-Calculus Integrated Algebra Geometry Algebra 2/Trigonometry H Pre-Calculus H Integrated Algebra H** Geometry H AP Statistics Advanced Algebra I AP Calculus

2 **Only offered at the Middle School SELECTING THE APPROPRIATE MATHEMATICS PROGRAM Kenmore East High School Mathematics Flow Chart Algebra R(6516) Algebra A(3502) Geometry R(3526)/H(3528) Algebra B(3506) Algebra2/Trig R(3536)/H(3538) Advanced Algebra 1(3532) Intermediate Algebra(3133) Pre-Calculus R(3145)/H(3148) Advanced Algebra 2 Advanced Algebra (3143) (ECC MT 125 credit option) AP Calculus A/B (3260) AP Statistics (3160) Senior elective or juniors with teacher approval. Note: The final exam for all one year regents/honors courses is the corresponding regents exam, i.e. Integrated Algebra and Algebra B will take the Integrated Algebra, Geometry, Algebra 2/Trigonometry. District exams will be given in the Algebra A, Intermediate Algebra, Advanced Algebra 1, Advanced Algebra 2, Advanced Algebra. Co-Taught Special Ed/Resource Algebra CT(3510)/RR(3512) Algebra A CT (3500) Algebra Regents exam in June Local exam in class Geometry CT (3520)/RR (3522) Algebra B CT (3504) Geometry Regents exam in June RCT Math in January, Algebra Regents exam in June Algebra2/Trig CT (3530)/RR (3532) Advanced Algebra 1(3532) Intermediate Algebra CT (3130) Algebra 2/Trig Regents exam in June Local semester exams in class Local semester exams in class Pre-Calculus (3145) Advanced Algebra 2 Advanced Algebra CT (31) Local semester exams in class. Algebra 2/Trig Regents exam in January. Local semester exams in class 15:1 Self-Contained Algebra 1A SC (3514) Local Final Exam in class Algebra 1B SC (3524) RCT math in January, Algebra Regents exam in June Business Math Offered through the Business Department

3 Course Descriptions Note: All of our courses are full year courses with one unit of credit. INTEGRATED ALGEBRA A SC This course is for ninth grade students who need small group instruction and is offered in a co-taught setting. Students in this course will take INTEGRATED ALGEBRA B - SC the following year. This two-year sequence will enable students to take the INTEGRATED ALGEBRA Regents Examination needed for graduation. Topics include basic skills, patterns in data, patterns of change, linear models, graph models, patterns in space and visualization and exponential models. EXAMINATION: Local District exam given during the Regents Examination Week in June. INTEGRATED ALGEBRA HONORS (Only offered in the Middle School) This course is for all ninth graders with the exception of accelerated students. Students will study the first of a three-year sequence that is aligned with the New York State Core Curriculum and learning standards. Students will learn content in the areas of numbers and operations, patterns, functions and algebra; geometry and spatial sense; measurements; and data analysis, statistics, and probability. Students will acquire and use their mathematical knowledge through the processes of problem solving, reasoning and proof, communication, connections, and multiple representations. Upon successful completion of the course, students will earn one unit of credit in mathematics. The new regents exam in Integrated Algebra will be taken in June. Students in this course will take Geometry or Geometry Honors the following year. EXAMINATION: Integrated (Common Core) Algebra in June. INTEGRATED ALGEBRA This course is for all ninth graders with the exception of accelerated students. Students will study the first of a three-year sequence that is aligned with the New York State Core Curriculum and learning standards. Students will learn content in the areas of numbers and operations, patterns, functions and algebra; geometry and spatial sense; measurements; and data analysis, statistics, and probability. Students will acquire and use their mathematical knowledge through the processes of problem solving, reasoning and proof, communication, connections, and multiple representations. Upon successful completion of the course, students will earn one unit of credit in mathematics. The new regents exam in Integrated Algebra will be taken in June. Students in this course will take Geometry or Geometry Honors the following year. EXAMINATION: Regents Integrated (Common Core) Algebra in June. INTEGRATED ALGEBRA - A This is the first year of a 2 year program for students that need more time to complete the Integrated Algebra curriculum. A student that receives a score of 1 or a low 2 on the 8 th grade mathematics examination and/or their Middle School teacher recommendation will take this course. Students will study the first of a three-year sequence that is aligned with the New York State Core Curriculum and learning standards. Students will learn content in the areas of numbers and operations; patterns, functions and algebra; geometry and special sense; measurements and data analysis, statistics, and probability. Students will acquire and use their mathematical knowledge through the processes of problem solving, reasoning and proof, communication, connections, and multiple representations. Upon successful completion of the course, students will earn one unit of credit in mathematics. Students in this course will take INTEGRATED ALGEBRA B the following year.

4 EXAMINATION: Local examination in June INTEGRATED ALGEBRA B This is the second year of a 2 year program for students that need more time to complete the Integrated Algebra curriculum. EXAMINATION: Regents Integrated (Common Core) Algebra in June. INTEGRATED ALGEBRA B - SC This is the second year of a 2 year program for students that need more time to complete the Integrated Algebra curriculum. EXAMINATION: Regents Integrated (Common Core) Algebra in June. Geometry This is the second in a three-course integrated sequence of college preparatory mathematics prepared and recommended by the New York State Education Department. Students will study the second of a three-year sequence that is aligned with the New York State Core Curriculum and learning standards. The new Common Core Regent exam in Geometry will be taken in June The course includes extensions of strands from Integrated Algebra 1, such as graphing linear and quadratic functions and three-dimensional geometric shapes. New topics include circles, three-dimensional geometry, transformational geometry, logic, geometric constructions and locus. A major portion of the course involves Euclidean Geometry and analytic geometry. Mathematical proof is treated in three ways: symbolic logic, deductive proof (geometry), and coordinate geometry. EXAMINATION: Regents Geometry (Common Core) exam in June Geometry H This is the second in a three-course integrated sequence of college preparatory mathematics prepared and recommended by the New York State Education Department. Students will study the second of a three-year sequence that is aligned with the New York State Core Curriculum and learning standards. The new Common Core Regent exam in Geometry will be taken in June The course includes extensions of strands from Integrated Algebra 1, such as graphing linear and quadratic functions and three-dimensional geometric shapes. New topics include circles, three-dimensional geometry, transformational geometry, logic, geometric constructions and locus. A major portion of the course involves Euclidean Geometry and analytic geometry. Mathematical proof is treated in three ways: symbolic logic, deductive proof (geometry), and coordinate geometry. EXAMINATION: Regents Geometry (Common Core) exam in June INTERMEDIATE ALGEBRA Students in this course will continue to build upon topics studied in Algebra and Geometry. This two year sequence will enable students to take the Algebra 2/Trigonometry exam in their senior year. Topics in this course include: advanced algebra, trigonometry, and statistics. EXAMINATION: Local district Exam in June ALGEBRA 2/TRIGONOMETRY This is the third in a three-course integrated sequence of college preparatory mathematics prepared and recommended by the New York State Education Department. Within this course, the number system will be extended to include imaginary and complex

5 numbers. The families of functions to be studied will include polynomials, absolute value, radical, trigonometric, exponential, and logarithmic functions. Problem situation involving direct and indirect variation will be solved. Problems resulting in systems of equations will be solved graphically and algebraically. Algebraic techniques will be developed to facilitate rewriting mathematical expressions into multiple equivalent forms. Data analysis will be extended to include measures of dispersion and the analysis of regression that model functions studied throughout this course. Associated correlation coefficients will be determined, using technology tools and interpreted as a measure of strength of the relationship. Arithmetic and geometric sequences will be expressed in multiple forms, and arithmetic and geometric series will be evaluated. Binomial experiments will provide a basis for the study of probability theory and the normal probability distribution will be analyzed and used a a n approximation for these binomial experiments. Right triangle trigonometry will be expanded to include the investigation of circular functions. Problem situations requiring the use of trigonometric equations and identities will also be investigated. Examination: Regents Algebra 2/Trigonometry exam in June ALGEBRA 2/TRIGONOMETRY H This honors course will include a study of all the topics listed for Algebra 2/Trigonometry but in greater depth. Many of the thinking skills required, and problems presented, will be beyond the scope of the average student at this grade level. Additional topics may be included. EXAMINATION: Regents Algebra 2/Trigonometry exam in June ADVANCED ALGEBRA This course is designed to give the student a foundation in college algebra and to strengthen other math skills for students planning to take a mathematics course in college. Functions, in general, and their inverses are studied along with the properties, graphs and transformations of linear, quadratic absolute value, radical rational, logarithmic and exponential functions. Equations of the above functions as well as linear systems of equations and linear and absolute value inequalities are solved. Related application problems are incorporated throughout. Students will register for ECC during the 1 st semester and upon successful completion of the course they will receive credit for MT125-College Mathematics. EXAMINATION: Semester exams in January and June. ADVANCED ALGEBRA 1 This course is recommended for students who plan on attending college. Topics include transformations of functions, sequences and series, logarithmic and exponential functions, quadratics, systems of equations, set theory, and financial algebra. EXAMINATION: Semester exams in January and June. ADVANCED ALGEBRA 2 This course is recommended for students who plan on attending college. The first semester focuses on trigonometric tipics to prepare the students for the Algebra 2/Trigonometry Regents Exam in January. The second semester will focus on advanced topics to prepare students for college math. EXAMINATION: Regents Algebra 2/Trigonometry exam in January and Semester exams in January and June. PRE-CALCULUS The emphasis in this course is on preparing students to study Calculus. All material is covered at a demanding level which will provide the rigorous background needed for a study of Calculus. Topics include the study of polynomial and rational functions, modeling, motion with vectors, and extensions of logarithmic and trigonometric functions, as well as an introduction to calculus.

6 EXAMINATION: Local District exam given during the final exam week in June. PRE-CALCULUS HONORS As with the Math 4 course, this Honors course uses a calculator-based graphing approach and covers the topics in greater depth. Additional topics of study may include, but are not restricted to, trigonometric functions, sequences, series, and 3-dimensional geometry. EXAMINATION: Local District exam given during the final exam week in June. AP STATISTICS Advanced Placement Statistics is a full-year course designed to prepare students to take the AP Statistics examination and obtain college credit. The use of statistics is important and relevant in our society. Nearly as many college students are required to take a statistics course as are required to take a course in calculus. Students interested in fields such as psychology, business, or health/medicine should consider enrolling in this course. For success in this college-level course, a high level of motivation and selfdiscipline are demanded. Projects are an integral part of the course. Major parts of the curriculum are concerned with exploring data, planning studies, anticipating patterns, and drawing statistical inferences. A student is expected to have a TI-83+ graphing calculator to use for this course. EXAMINATION: AP Examination in May. Also a District final exam grade will be given based on a statistical research project assigned in class. Prerequisites: Successful completion of three years of mathematics or a course grade of 90% in Geometry and/or teacher recommendation. AP CALCULUS (AB) Advanced Placement Calculus is a full-year mathematics course, designed to prepare students to take the AP Calculus examination and obtain college credit. This course covers the theory, techniques and applications of both differential and integral calculus, emphasizing properties of functions and their graphs. It follows the recommended course outline of The College Board. Most colleges require a student to take calculus in order to prepare for a career, not only in mathematics and engineering, but also in the sciences, in psychology, sociology, economics, and business administration. For success in this college level course, a very high level of achievement, motivation and self-discipline are demanded. A student is expected to have a TI-83+ graphing calculator to use for this course EXAMINATION: AP Examination in May. Also a District final exam will be given in late May which will be used to determine school credit for this course ACADEMIC INTERVENTION SERVICES: MATH (AIS) Individual remedial instruction is provided, in addition to a regularly scheduled mathematics course, for students who have failed to demonstrate competency in Mathematics. This assistance is required by NYS Education Law. EXAMINATION: None

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in