| MATHEMATICS Differentiated Math Instruction 1 credit Prerequisite: Recommendation of special services teacher or guidance counselor only. Students may not have completed pre-integrated math. Grades 9-12 This course will assist students in achieving mastery of fundamental skills and concepts. Curriculum and instruction will be designed to address the needs of students in the class and will focus on the skills necessary for success on the MCAS. (Students may receive credit for this course more than once if an additional year is recommended by the teacher). Pre-Algebra 1 credit Prerequisite: Students who have passed Algebra I or Geometry are not eligible for this course. This course is designed to help students gain the skills necessary for success in future courses in math. The course includes some review of arithmetic and an introduction to algebra, geometry, statistics and probability. Algebra IA 1 credit Prerequisite: Pre-Algebra or teacher recommendation. Students who have passed Algebra I, II or Geometry are not eligible for this course. Grades 9, 10 or 11 This is the first course in a two-year sequence that completes Algebra I. It is a formal study of the integration of algebra and geometry and also an introduction to statistics. Students who successfully complete this course will normally finish the Integrated Math I Curriculum in the second year course, Algebra I.. Algebra IB 1 credit Prerequisite: Algebra IA and teacher recommendation. Students who have passed Algebra I, II or Geometry are not eligible for this course. Grades 10, 11 or 12 This is the second course in a two-year sequence that completes Algebra I. This course integrates the study of algebra, geometry as well as probability and statistics. It is intended to develop proficiency with mathematical skills, to expand understanding of mathematical concepts and to improve logical thinking. Algebra I 1 credit Prerequisite: Teacher recommendation Grades 9-12 This is the first in a three-year sequence of college preparatory mathematics. It integrates the study of algebra and geometry with an emphasis on algebra and also introduces probability and statistics. Topics include operations with the real numbers, solving linear equations and inequalities, graphing linear functions, exponents, quadratic functions, and factoring. HONORS COURSES: Honors level courses are deeper and faster paced than the regular college courses, and assume a considerable amount of time and interest on the part of the student and as well as a high level of performance. Students should demonstrate a keen ability to work with abstract concepts, learn and apply new ideas at an accelerated pace and work well independently. Recommendation of the teacher and successful completion of prerequisites are requirements for these courses. Honors level courses will require summer work. Honors designation in Geometry and Algebra II has a prerequisite grade of 90 in the previous course and recommendation of teacher Geometry 1 credit Prerequisite: Algebra I Grades 10-12 Grade 9 (By recommendation only and a grade of 90 or better in Algebra I) This is the second course in the three-year sequence that makes up the "core" of the math program. It integrates the study of algebra and geometry, with an emphasis on formal geometric concepts. Topics include study of Euclidean geometric postulates and theorems with the integration of algebraic concepts. Formal proofs are included at this level. Algebra II 1 credit Prerequisite: Geometry Grades 10-12 This is the third course in the three-year sequence that makes up the "core" of the mathematics program at Lunenburg High School. It integrates the study of algebra and geometry, with an emphasis on linear and non-linear functions. The course is intended to develop proficiency with mathematical skills, to expand understanding of algebraic concepts, and to improve critical thinking skills. Algebra III/Trigonometry 1 credit Prerequisite: Geometry and Algebra II (grade 70 or better in both courses and recommendation of teacher). Grades 11-12 This course is a continuation of the study of algebraic concepts with an emphasis on linear and non-linear functions, analytical geometry and trigonometry. The treatment of the other topics is less abstract than in Analysis. It is advised, if this is the student's last course in math, that the SAT II subject test be taken after completion of the course. ADVANCED MATHEMATICS COURSES Not sequential. Students may take Analysis or Trigonometry/Algebra III for credit but not both. Analysis 1 credit Prerequisite: Geometry Honors and Algebra II Honors (grade 85 or better in both courses and recommendation of teacher). NOTE: Students not in the Honors Math Program must attain a grade of 90 or better and receive the approval of the Mathematics Department Head. Grades 11-12 Analysis is a course designed for students who have been successful in the honors program. Students will examine topics at very abstract levels, so mastery of fundamental algebraic, geometric and trigonometric topics is essential for success in this challenging course. The objective is to prepare the student for calculus at the high school or college level. Analysis is a more sophisticated course which will cover more material at a more abstract level than Trigonometry/Algebra III. Precalculus 1 credit Prerequisite: Trigonometry/Algebra III with a grade of 75 or better and recommendation of teacher. Grade 12 NOTE: Students who have taken Analysis with a grade of 85 or better are not allowed to take this course. This course is designed as a rigorous extension of a student's previous three years of college preparatory mathematics. The objective is to provide a solid mathematical background for college level mathematics. Topics will be selected from trigonometry, advanced algebra, and analytical geometry. This class is differentiated based on class composition. Advanced Placement Calculus 1 credit Prerequisite: A grade of 85 or better in Analysis and recommendation of teacher Grade 12 This course is designed for the mathematically talented student as an introduction to the differential and integral calculus, with emphasis on functions, limits, and techniques. It provides a review and reason for the student's previous mathematical background. This course prepares students to take the Advanced Placement exam in Calculus. The material in this course follows the Advanced Placement Program curriculum and is comparable to a college level course. Students interested in taking the SAT II subject test will be eligible in December of their Senior year. |