Mr. Yang's Algebra II and Discrete Mathematics
Algebra II
The Algebra II includes a rigorous academic core by extending what students have learned in Algebra I course to more advanced topics of math study. These advanced topics include performing arithmetic operations on complex numbers and polynomials, interpreting and writing expressions in equivalent forms, including rational expressions, understanding the relationship between zeros and factors of polynomials, using polynomial identities to solve problems, creating linear, quadratic, exponential, and root functions, solving systems of linear equations, and graphing radical and rational equations.
Students will also interpret functions in context, analyze functions using different representations, and build and compare linear, quadratic, radical, rational, exponential, and logarithmic functions.
Topics from Geometry courses previously learned in the middle grades will be formalized and extended in this course to include understanding the trigonometric functions of the unit circle, modeling periodic phenomena, and proving and applying trigonometric identities. The course closes with the study of interpreting categorical and quantitative data, making inferences and justifying conclusions using data, and using the rules of probability to make decisions. The laws of sine and cosine by using a right triangle will be considered as well. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.
Course Syllabus: Alg 2-IHS Syllabus 2020-2021.pdf
Discrete Mathematics
Discrete Mathematics is the study of mathematical systems defined on discrete sets—those with a countable number of elements. It involves the study of objects and ideas that can be divided into separate or discontinuous parts. Most of the mathematics in this area has been discovered during the twentieth century. Among possible topics to be studied are decision making, matrix algebra, graph theory, group theory, sequences, relations, functions, algorithms, logic, and set theory. As well as being of mathematical interest, many of these topics play an important role in information technology and computer science.
Course Syllabus: Discrete Math-IHS Syllabus 2020-2021.pdf
Remote Learning Expectation: Student Expectations.pdf
Virtual classroom norms & expectations: Student Expectations for Online Interactions.pdf
Grading Policies: Grading Policies.pdf
Tutoring resources and hours:
Tuesday: 1:30-2:30 PM
Thursday: 1:30-2:30 PM
Academic resources
Online textbook/homework:
https://www.pearsonrealize.com
https://en.wikibooks.org/wiki/Discrete_Mathematics/Print_version#Introduction
http://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf
Teacher: Mr. Yang
Tel: (973)399-6897
Email: [email protected]