# Mathematics Department

Using the Core Curriculum Learning Standards as a foundation for mathematics instruction, teachers engage their students in a rigorous mathematics program and study of looking at student work. Innovative teaching strategies include use of the workshop model, student grouping, standard and alternate assessment, and hands-on instruction with the use of manipulatives, with a concentrated focus on critical thinking, problem solving and the metacognitive process.

## Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content

The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high school years. Designers of curricula, assessments, and professional development should all attend to the need to connect the mathematical practices to mathematical content in mathematics instruction.

The Standards for Mathematical Content are a balanced combination of procedure and understanding. Expectations that begin with the word “understand” are often especially good opportunities to connect the practices to the content. Students who lack understanding of a topic may rely on procedures too heavily. Without a flexible base from which to work, they may be less likely to consider analogous problems, represent problems coherently, justify conclusions, apply the mathematics to practical situations, use technology mindfully to work with the mathematics, explain the mathematics accurately to other students, step back for an overview, or deviate from a known procedure to find a shortcut. In short, a lack of understanding effectively prevents a student from engaging in the mathematical practices.

## Algebra

This is a one-year credit-bearing course that counts towards a student’s mathematical commencement requirements and meets New York State’s mathematics requirements towards earning a Regents Diploma. This course emphasizes developing skills and processes to successfully solve problems and become more mathematically confident through the study of elementary algebra. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe for students to experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

## Geometry

This is a one-year credit-bearing course that counts towards a student’s mathematical commencement requirements and meets New York State’s mathematics requirements towards earning a Regents Diploma. It is aligned to the Common Core Learning Standards and is intended to be the second year of a three year sequence. This course employs an integrated approach to the study of connecting algebra to geometric relationships and proofs. Properties of triangles, quadrilaterals, and circles will receive particular attention. Congruence and similarity of triangles will be established using appropriate theorems; transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish and verify geometric relationships; and topics in trigonometry extending to three-dimensional geometry will be explored.

## Algebra II/Trigonometry

This is a one-year credit-bearing course that counts towards a student’s mathematical commencement requirements and meets New York State’s mathematics requirements towards earning a Regents Diploma. It is aligned to the New York State Learning Standards for Mathematics and is intended to be the third year of a three-year sequence. In Algebra 2, students will further develop the concepts learned in Algebra 1 and Geometry and extend those into advanced algebraic applications that require more complex and technical calculations and transformations, but sense-making is still paramount. Topics of study include: the Real and Complex Number systems; seeing structure in expressions; arithmetic with polynomials and rational expressions; creating equations; reasoning with equations and inequalities; building and interpreting functions; linear, quadratic, logarithmic, and exponential models; trigonometric functions; expressing geometric properties with equations; interpreting categorical and quantitative data; making inferences and justifying conclusions; and conditional probability and the rules of probability.

## Pre-Calculus

This is a one-year credit-bearing course that counts towards a student’s mathematical commencement requirements and meets New York State’s mathematics requirements towards earning a Regents Diploma. It is aligned to the New York State Learning Standards for Mathematics and is highly recommended preparation for students whose plans include the possibility of formal education beyond high school. In Pre-Calculus, students will further develop the concepts learned in Algebra 2 and extend those into advanced applications that require more complex and technical calculations while sense-making is still paramount. Topics of study include: fundamental concepts of algebra, polynomial equations of higher degrees, complex numbers, solving equations and inequalities, functions and graphs, polynomial functions, rational functions and functions involving radicals, exponential and logarithmic functions, trigonometric functions, sequences and series, conic sections, and advanced probability and stats. The main goal of this course is for students to continue their formal study of functions begun in Algebra 1 and Algebra 2 and develop a deeper understanding of the fundamental concepts and relationships of functions while to reinforcing one’s mathematical skills in preparation for college.

## AP Calculus

Explore the concepts, methods, and applications of differential and integral calculus. You’ll work to understand the theoretical basis and solve problems by applying your knowledge and skills.

Course Content

Unit 1: Limits and Continuity

Unit 2: Differentiation: Definition and Fundamental Properties

Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

Unit 4: Contextual Applications of Differentiation

Unit 5: Analytical Applications of Differentiation

Unit 6: Integration and Accumulation of Change

Unit 7: Differential Equations

Unit 8: Applications of Integration

## AP Statistics

Learn about the major concepts and tools used for collecting, analyzing, and drawing conclusions from data. You’ll explore statistics through discussion and activities, and you'll design surveys and experiments.

Course Content

Unit 1: Exploring One-Variable Data

Unit 2: Exploring Two-Variable Data

Unit 3: Collecting Data

Unit 4: Probability, Random Variables, and Probability Distributions

Unit 5: Sampling Distributions

Unit 6: Inference for Categorical Data: Proportions

Unit 7: Inference for Quantitative Data: Means

Unit 8: Inference for Categorical Data: Chi-Square

Unit 9: Inference for Quantitative Data: Slopes

## Next Generation Standards

## Ms. Rabina

Greetings of Peace and Love! I am Ms. Jocelyn Naquines Rabina and this is my 8th year of teaching Mathematics at Bedford. For me, being a teacher at Bedford is no longer a profession but rather a vocation (a calling) because I am happy and proud to say that I have found the place where my heart and soul was searching for – Bedford Academy High School – the school where the combined strengths and coordinated efforts of teachers, administrators and parents are geared towards one goal: the success of every child.

My only mission of teaching Math at Bedford is straightforward: to deliver the best possible high quality Mathematics education to the students so that they get back on track and find success in Math. On that note, I even offer students a personalized teaching, where each student presents a different challenge, for them to become proficient in Mathematics and making sure that they enjoy learning it as much as I enjoy teaching it.

## Mr. Calungsod

Mr. Calungsod STEM Teacher Teaches Robotics, Algebra 2, AP Computer Science and Pre-Calculus |

Kumusta!

I am Mr. Calungsod, a Bedford Academy High School math teacher currently assigned to teach Algebra 2, PreCalculus, AP Computer Science Principles, and Robotics. In my spare time, I am also doubling as the school’s data specialist. I came from the beautiful archipelago Philippines, where I finished BS Mathematics and Masters in Teaching Mathematics, taught there for 11 years and decided to come over this side of the world eight years ago.

An Eighth grader once asked me, “Why do you love teaching math?” I choked and took me a while to gather my thoughts. As I reflected on the long hours spent learning the tools of the trade plus some more years enhancing my craft in trying to be efficient and effective, I realized my teaching is still a work in progress – and it will always be! Then I answered the girl, “Because I want to make a difference.” She rolled her eyes and turned to me, “Whatever!”

As an educator, my job is not only to make sure that the students understand the concept but also to inspire them to take the thought and make something out of it – apply it in the real world. As a math teacher, my first responsibility is to ease the student’s mathematical burdens and lighten the baggage they are carrying for so long because I believe that a container should be empty before it can be filled!

In the minds of the countless number of students that I had the opportunity of sharing information, the dedication and drive to impart the knowledge might be superficial and all about the business of teaching but for the plain old-school Mr. Calungsod – it’s personal! I eat, and sleep, and breathe, and live mathematics.

Mr. Bertrand Russell poignantly wrote:

“Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry” (Russell, Bertrand (1919). "The Study of Mathematics". Mysticism and Logic: And Other Essays. Longman. p. 60)

## Mr. Diallo

My name is Thierno Malal Diallo; and I was born in the republic of Guinea, Conakry.

I earned a Bachelors Degree in mineral chemistry, at the University Gamal Abdel Nasser of Conakry; a masters of business administration (MBA) degree, in finance and investment, at Baruch College, in New York City; a masters of science in education at pace university, in New York City.

At Bedford academy I believe that it is my responsibility to prepare our young scholars for the challenges that lie ahead as they continue their journey to acquiring the knowledge to become responsible citizens. I teach Calculus, Physics, and Algebra II & Trigonometry. My philosophy of teaching is that until the learner can take ownership of the knowledge acquired, he or she did not learn. when teaching, I always make sure that my scholars develop the self confidence needed to solve problems using relevant information and concepts, without seeking any outside validation in the process. My focus is, and has always been, on students' developing enduring understanding of the concepts; and using these concepts to solve problem according to their understanding and creativity.

Physics encompasses the study of the universe from the largest galaxies to the smallest subatomic particles. Moreover, it's the basis of many other sciences, including chemistry, oceanography, seismology, and astronomy (and can be applied to biology or medical science).

## Ms. Moseley

Ms. Moseley is an advocate for Bedford Academy scholars. Ms. Moseley is a key member of Bedford Academy's family. Any scholar who has the opportunity to have Ms. Moseley as a teacher will benefit from her expertise.