Brooklyn Technical High School

 

VIDEO OVERVIEW OF MAJOR 

 

Introduction to Math Research: Students will be exposed to a variety of advanced topics in mathematics using an inquiry based pedagogical approach. Students will use professional journals and other sources to conduct expository and original research. Papers will be submitted to the NYC Metropolitan Math Fair as well as various other research competitions including but not limited to NYCSEF and Intel.

 

Advanced Euclidean Geometry: Using Sketchpad as an investigative tool, students will explore: Elementary Euclidean Geometry, Concurrency of Lines in a Triangle, Collinearity of Points, Some Symmetric Points in a Triangle, Triangle Properties, Quadrilaterals, Equicircles, The Nine-Point Circle, Triangle Constructions, Circle Constructions, The Golden Section and Fibonacci Numbers.

 

Combinatorics: The three problems of combinatorics (existence, counting, optimization), basic counting rules, graph theory, generating functions, principles of inclusion and exclusion, pigeonhole principle, selected additional topics.

 

AP Physics/Calculus BC²*:

Students will have an excellent opportunity to study in parallel, Advanced Placement Calculus and Physics. On a regular basis, students will be able to apply their calculus knowledge to solving Physics problems and use Physics applications to strengthen their understanding of Calculus concepts. In both courses math and science will be studied at an advanced, university level.

 

AP Statistics:

The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; Statistical Inference: Estimating population parameters and testing hypotheses.