Math

Requirements

Regents Diploma

3 units of math plus a grade of at least 65% on at least one math Regents examination.

Advanced Regents Diploma

3 units of math and a grade of at least 65% on the Algebra I, Geometry, and Algebra II ­Regents examinations is one component of making a student eligible for an Advanced Regents Diploma. Preparation for these exams can be accomplished by selecting one of the ­following progressions: (These are examples of possible pathways.)

• Algebra I

• Geometry

• Algebra II

OR

• Algebra I w/Lab

• Geometry w/Lab

• Algebra II w/Lab

OR

• Algebra I w/Lab

• Geometry w/Lab

• Intermediate Algebra-HVCC 110

• Algebra II w/Lab

Standards

The high school math standards:

1. Call on students to practice applying mathematical ways of thinking to real world issues and challenges; they prepare students to think and reason mathematically.

2. Set a rigorous definition of college and career readiness, by helping students develop a depth of understanding and ability to apply mathematics to novel situations, as college students and employees regularly do. 

3. Emphasize mathematical modeling, the use of mathematics and statistics to analyze empirical situations, understand them better, and improve decisions.

Algebra I (NCAA Core)

1 YEAR/1 UNIT

Course description

The purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. This course will be based on the Next Generation Learning Standards and will include five critical areas: relationships between quantities and reasoning with equations and their graphs; descriptive statistics; linear and exponential functions; polynomial and quadratic expressions, equations, and functions; and modeling with equations and functions. 

Course Requirements

Minimum final grade in Math 8 of 65%.

A TI-84+ calculator is required for this course.  

Students will take the Algebra I Regents exam in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

Minimum final grade of 80% in Math 8,

OR minimum final grade of 70% in Math 8H.

Algebra I Honors (NCAA Core)

1 YEAR/1 UNIT

Course description

The topics outlined In Algebra I will be enriched to include more extensive study.

Course Requirements

A TI-84+ calculator is required for this course. 

Students will take the Algebra I Regents exam in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

Minimum final grade of 95% in Math 8,

OR minimum final grade of 90% in Math 8H.

It is strongly suggested that students entering this course complete the summer practice work.  This practice consists of previously learned skills and concepts for which mastery will be expected in Algebra I Honors.

Algebra I with Lab (NCAA Core)

1 YEAR/1 UNIT

Course description

The topics outlined In Algebra I will be taught in this course with more support given to students.  Students will meet with their math teacher for an additional block of time within their schedule.  In this way, students have more time built into their schedules to learn the course objectives.

Course Requirements

Minimum final grade of 65% in Math 8.

A TI-84+ calculator is required for this course. 

Students will take the Algebra I Regents exam in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

Final grade of less than 80% in Math 8,

OR final grade of less than 70% in Math 8H,

OR recommendation of current math teacher,

OR students who want more support in their schedule.

Algebra IA (NCAA Core)

1 year/1 unit

Course description

This is the first of a two year course that is designed to assist students in passing the Algebra I Regents exam. Students in this course will strengthen their foundational skills taught in middle school, particularly those taught in Grade 8, and begin the Next Generation Algebra I curriculum. The intent is to prepare students to successfully complete the Algebra I course in 10th grade in Algebra IB and pass the Regents exam in June after completing Algebra IB.

Course Requirements

A TI-84+ calculator is required for this course. 

Students will take the Algebra I Regents exam after completing Algebra IB.

Course Recommendations

Students who do not pass Math 8 must take this course,

OR recommendation of current teacher.

Algebra IB (NCAA Core)

1 year/1 Unit

Course description

Students in this course will complete the Next Generation Algebra I curriculum. These topics include: relationships between quantities and reasoning with equations and their graphs; descriptive statistics; linear and exponential functions; polynomial and quadratic expressions, equations, and functions; and modeling with equations and functions. 

Course Requirements

Successful completion of Algebra IA.

A TI-84+ calculator is required for this course. 

Students will take the Algebra I Regents exam in June, and it will represent 10% of the student’s final grade for the course.

Geometry (NCAA Core)

1 Year/1 Unit 

Course description

This mathematics course is the second in the New York State Regents program leading to an Advanced Regents Diploma. This course will be based on the Next Generation Learning Standards and will include the study of congruence, proof, constructions, similarity, trigonometry, coordinate geometry, and circles.

Course Requirements

Successful completion of Algebra I, Algebra I with Lab, or Algebra I Honors. 

A TI-84+ calculator is required for this course. 

Students will take the Geometry Regents exam in June, it will represent 10% of the student’s final grade for the course.

Course Recommendations

Minimum final average of 85% in Algebra I or Algebra I with Lab,

OR minimum final average of 80% in Algebra I Honors. 

Geometry Honors (NCAA Core)

1 Year/1 Unit

Course description

The Geometry course of study will be enriched to include more extensive/rigorous proof and applications. 

Course Requirements

A TI-84+ calculator is required for this course. 

Students will take the Geometry Regents in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

Final average of at least a 90% in Algebra I Honors,

OR minimum final average of 95% in Algebra I. 

It is strongly suggested that students entering this course complete the summer practice work.  This practice consists of previously learned skills and concepts for which mastery will be expected in Geometry Honors. 

Geometry with Lab (NCAA Core)

1 YEAR/1 UNIT

Course description

The topics outlined in Geometry will be taught in this course with more support given to students.  Students will meet with their math teacher for an additional block of time within their schedule.  In this way, students have more time built into their schedules to learn the course objectives.

Course Requirements

Minimum final grade of 65% in Algebra I, Algebra I with Lab, Algebra IB.

A TI-84+ calculator is required for this course. 

Students will take the Geometry Regents exam in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

A final grade of at least an 85% in Algebra IB,

OR a final grade between 75 - 84% in Algebra I,

OR a final grade of at least 80% Algebra I with Lab,

OR recommendation of current math teacher,

OR students who want more support in their schedule.

Foundations in Geometry

1 YEAR/1 UNIT

This course creates a bridge between Algebra and Geometry for students who would benefit from strengthening their Algebra skills as well as being introduced to key vocabulary and concepts in Geometry.  Students would then take Geometry or Geometry with Lab in 11th grade.  The first semester will focus on essential Algebra skills needed for future math courses.  For students who need to retake the Algebra Regents, this will also serve as AIS (Academic Intervention Services).  The second semester will focus on vocabulary and big concepts needed for success in Geometry.  Study skills and applications will be included as well. 

Course Requirements

Minimum final grade of 65% in Algebra I or Algebra I with Lab

A TI-84+ calculator is required for this course.

Course Recommendations

Final grade of 65 - 74 in Algebra I 

OR i final grade of 65 - 79 in Algebra 1 with Lab

Explorations in Mathematics 

1 year/1 Unit

Course description

This course is for students who have passed Algebra IA, Algebra IB, and the Algebra I Regents exam.  The units of study in this course are designed to prepare students for the workforce or a two year college.

Course Requirements

Students who have successfully completed Geometry are not eligible to take this course.

Successful completion of Algebra IA and Algebra IB.

COLL Intermediate Algebra (HVCC MATH 110 - 3 credits)

1 Year/1 Unit

Course description

The first semester will include prerequisite skills and concepts that are needed for the second semester. The second semester will be the Intermediate Algebra-HVCC 110 course. This course will include a review of the principles of algebra and introductory trigonometry. Topics include: operations on polynomials, first-degree equations, factoring, algebraic fractions, exponents, radicals, quadratic equations, right triangle trigonometry, and graphing linear equations. This course is intended for Juniors who need to strengthen their algebra skills before taking Algebra II or Algebra II with Lab in their senior year.

Course Requirements

Successful completion of Algebra I or Algebra I with Lab and Geometry or Geometry with Lab.

Course Recommendations

Students who have course grades below 75 in Algebra and Geometry or below 80 in Algebra I with Lab and Geometry with Lab during the regular school year should strongly consider taking this course.  

Students may choose to take this course for 3 HVCC college credits. The cost is approximately $70 per credit hour (tuition assistance is available for those who qualify) if you wish to take the course for HVCC credit.

Algebra II (NCAA Core)

1 year/1 unit

Course description

This mathematics course is the third in the New York State Regents program leading to an Advanced Regents Diploma. This course will be based on the Next Generation Learning Standards and will include the study of polynomial, rational, and radical relationships, trigonometric functions, functions, and inferences and conclusions from data. 

Course Requirements

Successful completion of any level of Geometry

A TI-84+ calculator is required for this course. 

Students will take the Algebra II Regents exam in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

Minimum final average of an 85% in Geometry or Geometry with Lab, 

OR minimum final average of an 70% in Geometry Honors.

Algebra II Honors (NCAA Core)

1 year/1 unit

Course description

The topics outlined in Algebra II will be enriched to include more extensive study and applications. 

Course Requirements

Successful completion of Geometry or Geometry Honors

A TI-84+ calculator is required for this course. 

Students will take the Algebra II Regents exam in June, and it will represent 10% of the student’s final grade for the course. 

Course Recommendations

A minimum final average of 95% in Geometry,

OR a minimum final average of 90% in Geometry Honors.

It is strongly suggested that students entering this course complete the summer practice work.  This practice consists of previously learned skills and concepts for which mastery will be expected in Algebra II Honors. 

Algebra II with Lab (NCAA Core)

1 YEAR/1 UNIT

Course description

The topics outlined In Algebra II will be taught in this course with more support given to students.  Students will meet with their math teacher for an additional block of time within their schedule.  In this way, students have more time built into their schedules to learn the course objectives.

Course Requirements

Successful completion of any level of Geometry

A TI-84+ calculator is required for this course. 

Students will take the Algebra II Regents exam in June, and it will represent 10% of the student’s final grade for the course.

Course Recommendations

A final Geometry grade of at least a 75,

OR a final grade in Geometry with Lab of at least a 80,

OR recommendation of current math teacher,

OR students who want more support in their schedule.

COLL Algebra with Trigonometry (HVCC 150 - 4 credits)  (NCAA Core)

1 Year/1 Unit

Course description

The first semester will include prerequisite skills and concepts that are needed for the second semester. The second semester will be the HVCC MATH 150 course. The course includes a review of algebra and numerical trigonometry. Topics include factoring, rational expressions, solving linear and quadratic equations, solving simultaneous linear equations, functions, lines, exponentials, logarithms, numerical trigonometry and solving triangles. This course is intended for students who have completed Algebra II and would like to strengthen their skills further before taking a higher level math class in college.

Course Requirements

Required: Successful completion of Algebra I, Geometry, and Algebra II. 

Course Recommendations

Recommendation: Those who have passed Algebra II or Algebra II with Lab with a grade less than an 80%

Students may choose to take this second semester for 4 HVCC college credits. The cost is approximately $70 per credit hour (tuition assistance is available for those who qualify) if you wish to take the course for HVCC credit.

Senior Math

1 Year/1 Unit

Course description

This course is the 4th year for students who have completed Algebra IA, Algebra IB, and Explorations in Math.  The goals of the course include giving students experiences with math topics that they will need to enter a 2 year college credit-bearing math course.  It is strongly encouraged that all students take four years of math.  

Course Requirements

Successful completion of Algebra IA, Algebra IB, and Explorations in Math.

COLL Real World Mathematics (HVCC MATH 120 - 3 credits)

1 Year/1 Unit

Course description

This course is a 4th year option for students who have successfully completed Algebra IA, Algebra IB, and Explorations in Math.  Content emphasizes contemporary applications of mathematics including  statistics, data analysis, consumer mathematics, networking, geometry, and tiling. 

Course Requirements

Successful completion of Algebra IA, Algebra IB, and Explorations in Math

Course Recommendations

Students who complete Explorations in Math with a course grade of at least an 85 should consider taking this course.

Students may choose to take this course for 3 HVCC college credits. The cost is approximately $70 per credit hour (tuition assistance is available for those who qualify) if you wish to take the course for HVCC credit. 

Precalculus (NCAA Core)

1 Year/1 Unit

Course description

This course will emphasize preparation of students for the study of advanced mathematics. The course will consist of a survey of a number of topics including trigonometry, polar coordinate geometry, differentiation and integration. Students will develop the ability to analyze, graph and solve higher degree equations. Sequences, Series, Limits, Derivatives and Integrals will be studied with limited applications to maximum, minimum, area and volume problems. A working knowledge of the real and complex number systems will be developed. Graphing techniques will involve the Cartesian and polar coordinate systems. 

Course Requirements

A TI-84+ calculator is required for this course. 

Successful completion of Algebra I, Geometry, and Algebra II.

Course Recommendations

Final grade of at least an 80% in Algebra II or Algebra II with Lab. 

COLL Precalculus (HVCC MATH 170 - 4 credits)  (NCAA Core)

1 Year/1 Unit

Course description

These sections of Precalculus will be enriched to include more extensive study and application of Precalculus topics as well as the investigation of additional topics.  It is strongly recommended that students complete the summer assignment to maintain the skills and concepts that are needed for the honors level course.

Course Requirements

A TI-84+ calculator is required for this course. 

Successful completion of Algebra I, Geometry, and Algebra II.

Course Recommendations

Minimum final average of 90% in Algebra II Honors,

OR minimum final average of 95% in Algebra II.

It is strongly suggested that students entering this course complete the summer practice work.  This practice consists of previously learned skills and concepts for which mastery will be expected in COLL Precalculus.

Students may choose to take this course for 4 HVCC college credits. The cost is approximately $70 per credit hour (tuition assistance is available for those who qualify) if you wish to take the course for HVCC credit.

Senior Statistics (NCAA Core)

1 Year/1 Unit

Course description

The primary objective of the course is to give students a foundational and working knowledge of statistical tools, methods, and key understandings that will be helpful in life as well as their studies in the college setting.  This course will include applications and projects to allow students to apply their learning.  

Course Requirements

Successful completion of Algebra II.

A TI-84+ calculator is required for this course. 

Course Recommendations

Students who have have successfully completed Algebra II or scored at least a 70 in Algebra II with Lab, or want a course that is not at the AP level should consider taking this course. 

***This course may be taken concurrently with another math course as long as the requirement has been met. 

Advanced Placement Statistics (NCAA Core)

1 Year/1 Unit

Course description

AP Statistics is divided into four major themes: exploratory analysis, planning a study, probability and statistical inference. Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. In planning a study, data must be collected according to a well-developed plan if valid information on a conjecture is to be obtained. Probability is the tool used for anticipating what the distribution of data should look like under a given model. Statistical inference guides the selection of appropriate models. This course may be taken concurrently with Precalculus or Calculus. 

Course Requirements

Successful completion of any level of Algebra II.

A TI-84+ calculator is required for this course. 

All students enrolled in this course are expected to take the AP exam in May.  The cost of the exam is approximately $100 which may be reduced for students who qualify for the Federal Free and Reduced Lunch Program.

Course Recommendations

Minimum final average of at least an 80 in Algebra II.  Students whose average in Algebra II is under an 80 should consider taking Senior Statistics.  Students who successfully complete Algebra II with Lab are strongly encouraged to take Senior Statistics.

***This course may be taken concurrently with another math course as long as the requirement has been met. 

Senior Calculus Honors (NCAA Core)

1 Year/1 Unit 

Course description

The primary objective of this course is to give substantial exposure to differential and integral calculus with sufficient application to bring out the meaning and importance of the subject. Topics in this course will include: analytic geometry review, limits, differential and integral calculus with applications. Students scheduling themselves for this course are expected to commit themselves to consistent, rigorous study throughout the year.

Course Requirements

Successful completion of COLL Precalculus or Precalculus.

Course Recommendations

Final grade less than an 85% in Precalculus,

OR a final grade less than 80% in COLL Precalculus 

Advanced Placement Calculus AB (NCAA Core)

1 Year/1 Unit 

Course description

The primary objective of this course is to give substantial training in differential and integral calculus with sufficient application to bring out the meaning and importance of the subject. The course will parallel the year course in the subject now given by colleges and will include the following topics: analytic geometry review and extension, limits, differential and integral calculus of algebraic and transcendental functions and application of differential and integral calculus. Students scheduling themselves for this course are expected to commit themselves to consistent, rigorous study throughout the year. 

Course Requirements

Successful completion of COLL Precalculus or Precalculus.

A TI-84+ calculator is required for this course. 

All students enrolled in this course are expected to take the AP exam in May.  The cost of the exam is approximately $100 which may be reduced for students who qualify for the Federal Free and Reduced Lunch Program.

Course Recommendations

Final grade of at least an 80% in COLL Precalculus,

OR Final grade of at least a 85% in Precalculus

Students who have taken non-honors Algebra II and/or non-honors Precalculus will experience a much higher level of rigor and need for prerequisite knowledge in this course.  Students should have room in their schedules to seek extra help from the teacher.

Advanced Placement Calculus BC (NCAA Core)

1 Year/1 Unit

Course description

This course covers all the material in AB Calculus in greater depth, as well as, L-Hopital’s rule, topics dealing with sequences and series and elementary differential equations. A graphical and analytical instructional approach is emphasized. The Advanced Placement test for BC Calculus is given in the spring. This course is quite rigorous and should only be considered by students willing to commit themselves and their time to consistent, rigorous study throughout the year. 

Course Requirements

Successful completion of COLL Precalculus. 

A TI-84+ calculator is required for this course. 

All students enrolled in this course are expected to take the AP exam in May.  The cost of the exam is approximately $100 which may be reduced for students who qualify for the Federal Free and Reduced Lunch Program.

There is a required summer assignment.  This practice consists of previously learned skills and concepts for which mastery will be expected in BC Calculus.

Course Recommendations

Minimum final average of 95% in COLL Precalculus. 

***11th grade accelerated students who have completed all math courses in their pathway should talk to their counselor about opportunities for continued math instruction in 12th grade through local college partners (for example, Calculus 3 at HVCC).