The Math department at Cathedral High School follows the New York State required Regents Common Core curriculum in Math and the NYS Common Core learning standards for mathematics. We offer classes at all levels of proficiency. As the times change, technology and learning change as well. We invite learning with technology in the classroom. Students can learn through the interactive whiteboards and graphing calculators. We, as a department, challenge our students and prepare them for college.
Standard 1
Make sense of problems and persevere in solving them.
Standard 2
Reason abstractly and quantitatively.
Standard 3
Construct viable arguments and critique the reasoning of others.
Standard 4
Model with mathematics.
Standard 5
Use appropriate tools strategically.
Standard 6
Attend to precision.
Standard 7
Look for and make use of structure.
Standard 8
Look for and express regularly in repeated reasoning.
Grade 9 | Full-Year Course
This course is a full year course for 9th Grade Math students. It follows the New York State Regents curriculum for Common Core Algebra. Students will learn about the different types of numbers represented in the real number systems. Problem solving techniques and situations will also be taught at a challenging level for students. Students will be introduced to functions such as linear and non-linear equations and inequalities. They will learn how to solve and graph these functions. Simple exponential and radical functions will also be discussed in this course. Students will have the opportunity to learn how to collect and organize data in order to understand the concepts of statistics and probability. Students are required to take the New York State Regents exam for Common Core Algebra in June.
Honors Academy
Grade 9 | Full-Year Course
This is a full-year course or the more advanced Math students. It follows the New York State Regents for Algebra 1 Common Core. Students will learn about the different topics of number represented in the real number systems. Problem solving techniques and situations will also be taught at a more challenging level for the students. Students will be introduced to different types of functions such as linear equations and inequalities, and quadratic functions. Simple exponential and radical functions will also be discussed in this course. Students will be required to complete a project in each unit that will incorporate the skills and academic standards based on the unit. The project will help students deepen their conceptual knowledge of these key concepts. The process will combine the application of mathematics content with skills such as problem-solving, communication, collaboration, and critical thinking. The projects will be based on real world scenarios that are relevant to the students. Students will have to create, evaluate, apply and analyze information. These higher-level orders of thinking will provide the challenge and rigor necessary to fully engage our honors students. Students are required to take the New York State Regents exam for the Algebra 1 Common Core Regents in June.
Grades 9/10 | 1.5 Year Course
The Algebra 1: Part 1 course focuses on transferring concrete mathematical knowledge to more abstract algebraic generalizations. In this course, you’ll learn to recognize patterns using tables, graphs, and equations. You’ll explore operations on algebraic expressions, and apply mathematical properties to algebraic equations. You’ll apply what you learn to real-world concepts and tasks. The Algebra 1: Part 2 course focuses on transferring concrete mathematical knowledge to more abstract algebraic generalizations. In this course, you’ll solve problems using equations, graphs, and tables to investigate linear, exponential, and quadratic relationships. You’ll apply what you learn to real-world concepts and tasks. Students are required to take the New York State Regents exam for Common Core Algebra in January of their 10th grade year.
Grades 10, 11 | Full-Year Course
This is a full-year course for students who took Algebra 1 and follows the New York State Regents curriculum for Algebra II Common Core. Topics include number systems extended to imaginary and complex numbers; operations of rational expressions, trigonometric, and radical; function regression; trigonometric equations; statistics; and probability. Students will be required to complete a project in each unit that will incorporate the skills and academic standards based on the unit. The project will help students deepen their conceptual knowledge of these key concepts. The process will combine the application of mathematics content with skills such as problem-solving, communication, collaboration, and critical thinking. The projects will be based on real world scenarios that are relevant to the students. Students will have to create, evaluate, apply and analyze information. These higher-level orders of thinking will provide the challenge and rigor necessary to fully engage our honors students. Students are required to take the New York State Regents exam for Algebra II Common Core in June.
PREREQUISITE: Determined by Algebra 1 grade and teacher recommendation
Grades 10, 11 | Full-Year Course
This course is a full year course for students who took Algebra 1. Topics include number systems, operations of rational expressions, functions such as polynomial, absolute value, exponential, logarithmic, and radical; and linear systems with two and three variables.
Prerequisite: Determined by Algebra 1 grade and teacher recommendation
Grades 11, 12 | Full-Year Course
A full-year course for students who took Algebra II Common Core and follows the New York State Regents curriculum for Geometry Common Core. Students will focus on geometric relationships, logic, informal and formal proofs, properties of triangles and quadrilaterals, transformations, and volume/density. Students will be required to complete a project in each unit that will incorporate the skills and academic standards based on the unit. The project will help students deepen their conceptual knowledge of these key concepts. The process will combine the application of mathematics content with skills such as problem-solving, communication, collaboration, and critical thinking. The projects will be based on real world scenarios that are relevant to the students. Students will have to create, evaluate, apply and analyze information. These higher-level orders of thinking will provide the challenge and rigor necessary to fully engage our honors students. Students are required to take the New York State Geometry Regents in June.
Prerequisite: Determined by Algebra II and teacher recommendation
Grades 11, 12 | Full-Year Course
A one-year course for students who took Algebra II and follows topics from Geometry Common Core. Topics will include geometric relationships, logic, informal and formal proofs, properties of triangles and quadrilaterals, transformations, and volume and density.
Prerequisite: Determined by Algebra II grade and teacher recommendation
Grades 11, 12 | Full-Year Course
A full-year course for students currently taking Algebra II Common Core. This course is designed to provide students the mathematical tools they need for Calculus. The course delves into the more advanced problems that were not discussed in Algebra II Common Core. The topics discussed in the course range from discussing and analyzing the different types of functions to conic sections and analytic geometry.
PREREQUISITE: Algebra II Common Core and Regents
Grades 11, 12 | Full-Year Course
A year course for students who have completed all Common Core Regents and who have the recommendation of their present math teacher. This course enables students to pursue college-level studies while still in high school. It is devoted to the discussion of differential and integral calculus. This course teaches students to solve differential and integral word problems manually while at the same time, enabling them to learn how to use technology to help experiment, interpret, and support their conclusions. Students taking this course are required to take the A.P. Calculus AB exam in May as given by the College Board.
Examination Fee: Approximately $90.
PREREQUISITE: ALGEBRA I COMMON CORE, ALGEBRA II COMMON CORE, GEOMETRY
Grades 11, 12 | Full-Year Course
Course Expectations: Reasoning based on probability and statistics gives modern society the ability to cope with uncertainty. It has astonishing power to improve decision-making accuracy and test new ideas. It's a key analytical tool used in education, the social sciences, and business administration and is often a required college subject for majors in those areas. Statistics is frequently used for data analysis in the sciences and forms the mathematical basis for quality control in manufacturing. AP Statistics is a college level class for students who have been highly successful in Algebra II or Pre-Calculus. It covers the topics needed for the American College Board AP Statistics exam. Students passing this test may receive college credit. In today's world, most statistical analysis is done on calculators or computers. Students will learn how to perform statistical analysis on TI-84 calculators as well as more traditional techniques. All students taking AP Statistics will take the AP Statistics Exam at the end of the course.
Grade 12 | Full-Year Course
This is a full year course for students who have completed all required math credits. Students will learn topics such as discussing and analyzing the different types of functions, limits, and derivatives. Basic probability and statistics as well as more advanced topics such as standard deviation, normal distribution, and hypothesis testing are also explored. Students will also learn about topics in finance such as financial planning and money management.
PREREQUISITE: 3 math credits completed