# Math

# 9th and 10th

Algebra 1 Cycle B is the second year of a two-year program preparing students for the Performance-Based Assessment Tasks (PBAT), a requirement for graduation in the Bronx International High School. The units include: Pre-Algebra Requisites, Linear inequalities and functions, and Exponential equations and functions. The lessons are created based on the Common Core Standards set by the State of New York.

Unit 1 focuses on the development of the number line in the opposite directions (to the left or below zero). Students use positive integers to locate negative integers, understanding that a number and its opposite will be on opposite sides of zero and that both lie the same distance from zero. Students represent the opposite of a positive number as a negative number and vice-versa. Students realize that zero is its own opposite and that the opposite of the opposite of a number is actually the number itself. They use positive and negative numbers to represent real-world quantities.

Unit 2 will allow students to convert decimal to fractions to percent and vice-versa. Unit 3 will allow the students to define, evaluate, and compare linear inequality functions and use them to model relationships between quantities. In this unit, students focus on the study of elements as slope, y-intercepts and x-intercepts and explore on various real-world relation models. They will explore many examples of functions and their graphs, focusing on the relationships between the variables. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations. In earlier units, students analyze the process of solving equations and developing fluency in writing, interpreting, and translating between various forms of linear inequations (Unit 3). These experiences combined with modeling with data, set the stage for Unit 4. Here students continue to interpret functions, create equations, rewrite equations and functions in different but equivalent forms, and graph and interpret functions, but this time using exponential functions.

# 11th

This course is designed for the college-bound student. In this course, the concepts of Algebra 1 are enriched and the topics in Algebra 2/Trigonometry (11^{th} Grade) are extended and discuss in-depths. Additional units such as Sequences and Series, Trigonometric Functions and Statistics are introduced and explored. Topics include graphing, interpreting functions including polynomial, rational, radical, exponential, logarithmic, trigonometric functions, understanding patterns and rules for sequences and series, and interpreting and analyzing data with the use of statistical formulas. Will work closely with the expressions that define the functions and continue to expand and hone the abilities to model situations and to solve different kind of equations using the different properties and theorems.. Our studies will focus on the applications of world-problems that can be explored thru PBAT Projects related to the following critical areas:

1. Exponential, Logarithmic, and Radical Functions

2. Trigonometric Functions

3. Statistics

# 12th

This course aims to provide students with lessons and activities that allow them to actively participate in uncovering mathematics in the world around them. Rather than simply writing “correct” answers to mathematics questions and problems, students will learn to support their answers with evidence. Students will also engage in several practice exercises that will enable them to deepen their understanding of algebraic concepts.

In addition to doing hands-on activities, students will write mathematics papers and they will follow the required format to prepare them for PBAT presentations. Furthermore, in this course students will be asked to extend their learning beyond classroom walls through independent research, interviews with experts, and inquiry-based projects. Students will be asked to reflect upon their own experience and interests as they pose critical questions about their world. There will be a strong emphasis on planning, writing and revision in the writing process as they need these skills to be successful in the PBAT process. Topics to cover include but are not limited to geometry, linear and quadratic functions, polynomials, rational expressions, power and radicals, exponential functions, logarithmic functions, sequence and series, trigonometry and probability. The course culminates in an extended or original math project. All students are required to pass the Math PBAT presentation by June 2021.