# 2017-18 CVA Course of Study Handbook – Math Department

## Mathematics Department

### Algebra 1 CC A—9th Grade (1 credit)

This course is designed to prepare students for the Algebra Common Core Regents Exam. CC A is the first 60% of the material covered in Algebra 1 CC (R). Topics covered include equations, expressions, functions, sequences, linear equations, linear inequalities and exponents. A local exam will be administered with the completion of this course in June. Upon passing CC A, students will then take Algebra 1 CC B (R) the following year and take the Regents Exam at the end of CC B.

### Algebra 1 CC B (R)—10th Grade (1 credit)

This is the SECOND course in the two-year Regents sequence. The CC A topics will be reviewed and then the remaining 40% of the course material not covered in Algebra 1 CC A will be introduced and mastered by the students. The students will take the Algebra 1 CC Regents exam in June. Students passing the Regents exam will earn 1 regents credit. Students not passing the Regents but having a passing final school average will earn 1 local credit.

### Algebra 1 CC (R)—9th Grade (1 credit)

This is the first course in the three-year Regents mathematics sequence. It is designed for students of average and above average ability and will assist them in developing skills and processes to be applied using a variety of techniques to solve problems in a variety of settings. Problem situations may result in all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Students will solve problems requiring right triangle trigonometry, elementary probability theory will be used to determine the probability of independent, dependent and mutually exclusive events. Students will take the Integrated Algebra CC Regents Exam in June.

### Intermediate Geometry—10th-11th Grade (1 credit)

This course is designed for the student that successfully completed Algebra 1 CC (R) but not the Algebra 1 CC Regents Exam. The first half of the course will be review of the Algebra 1 CC material in effort to prepare the student for the Regents Exam in January. The second half will be an introduction to regents-level Geometry topics to prepare the student for Geometry CC (R) the following year. A local exam will be administered with the completion of this course in June.

### Geometry (R)—9th-11th Grade (1 credit)

This course is the second in the three-year mathematics Regents program. Designed for students who have successfully completed Algebra 1 CC (R) and the Algebra 1 CC Regents exam. Topics include geometric relationships, constructions, locus, informal and formal proofs, transformational geometry and coordinate geometry. A Regents Geometry Exam will be given at the end of this course.

### Intermediate Algebra 2 CC—10th-12th Grade (1 credit)

This course is designed for the student that successfully completed Algebra 1 CC (R), the Algebra 1 CC Regents Exam, Geometry CC (R) but not the Geometry CC Regents Exam. The first half of the course will be review of the Geometry CC material in effort to prepare the student for the Regents Exam in January. The second half will be an introduction to regents-level Algebra 2 topics to prepare the student for Algebra 2 CC (R) the following year. A local exam will be administered with the completion of this course in June.

### Algebra 2 CC (R)—10th-12th Grade (1 credit)

This course completes the three-year mathematics Regents program. Designed for students who have successfully completed Geometry CC (R) and the Geometry CC Regents Exam. Topics include an extension of all topics covered in Geometry along with complex numbers, exponential and logarithmic functions, circular functions, transformation geometry and applications to group theory. An Algebra 2 CC Regents Exam is given at the end of this course.

## Mathematics Department – Electives

### Intermediate Pre-Calculus—11th-12th Grade (1 credit)

This course is designed for the student that successfully completed Algebra 1 CC (R), the Algebra 1 CC Regents Exam, Geometry CC (R), the Geometry CC Regents Exam, Algebra 2 CC (R) but not the Algebra 2 CC Regents Exam. The first half of the course will be review of the Algebra 2 CC material in effort to prepare the student for the Regents Exam in January. The second half will be an introduction to College Now level Pre-Calculus to prepare the student for the College Now Pre-Calculus the following year. A local exam will be administered with the completion of this course in June.

### Pre-Calculus (College Now)—11th-12th Grade (1 credit/3 college credits)

This course is designed for students who have good mathematical skills, have a desire to pursue mathematics in college, and have completed the Regents program. The course reviews topics covered in Trigonometry and includes topics in advanced algebra, matrices and determinants, mathematical systems, squares and series, formal limits, analytical geometry, and an introduction to differential and integral calculus. The study of polynomial, rational, trigonometric, logarithmic and exponential functions; in particular, the algebra and the curve sketching techniques involved with these functions. ~ Prerequisite: Algebra 2 CC (R)

### Advanced Placement – Calculus AB—11th-12th Grade (1 credit)

This course is suggested for students intending to go to college in engineering or who expect to do college level work in science or mathematics. Liberal arts majors and others in colleges are often expected to take calculus as freshman and this course is an excellent preparation. The course covers topics of functions, analytic geometry, limits, differential and integral calculus, generally following the Advanced Placement AB syllabus. The course balances theoretical vigor with important applications. Students are expected to take the AP Exam in May. Students pay their own examination fee. Depending on the score on the exam and the college selected, a student may receive advanced standing and/or credit for calculus. In any case, the opportunity to take a college level course at the high school level puts students at an advantage when they take calculus in college.

### Advanced Placement – Calculus BC—12th Grade (1 credit)

Explore the key concepts, methods, and applications of single-variable calculus including all topics covered in AP Calculus AB (functions, graphs, and limits, derivatives, integrals, and the Fundamental Theorem of Calculus) as well as additional topics in differential and integral calculus, such as parametric, polar and vector functions, and series.

### Mathematical Statistics I (College Now)—11th-12th Grade (1 credit/3 college credits)

This course is designed to explore topics from descriptive and inferential statistics: graphing, measure, of central tendency and variation, probability, Central Limit Theorem, estimation, the binomial distribution, the normal distribution, and hypothesis testing. The laboratory provides hands-on technology experience using a statistical software package. Skill in elementary algebra is required. ~ Prerequisite: Algebra2/Trigonometry (R)

### Contemporary Math (College Now)—11th-12th Grade (1 credit/3 college credits)

This course is designed to provide students with a liberal arts math full of relevance and applications. Topics include problem-solving and critical thinking, set theory, logic, number theory and the real number system. Optional topics include: Equations, inequalities, geometry, counting method, probability and statistics. ~ Prerequisite: Pass Integrated Algebra CC Regents

### SAT Prep/Mathematics—11th-12th Grade (.5 credit)

This class is designed for students who are preparing to take the PSAT/SAT exams. This class will focus on the format of the test and how the test is graded. Pertinent math topics related to the SAT Mathematics test will be covered. Testing tips and modeling will be provided.