# New York State Algebra 1

**This course is designed to prepare students for the New York State Algebra 1 Regents Exam. It will cover every topic in the New York State Curriculum, and will provide data analysis based on the 9 Regents Exams that have already been administered. An emphasis will be placed on the topics that are the easiest and appear the most often. Upon mastery of a lesson, students will be issued a certificate acknowledging the successful completion of the lesson and the grade the student received on the lesson quiz.**

### Course Features

- Lectures 17
- Quizzes 9
- Duration 30 minutes
- Skill level All levels
- Language English
- Students 24
- Assessments Self

#### PERFORMING ARITHMETIC METHODS ON POLYNOMIALS (A-APR.A)

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

- Testing for Equivalence Using the TI-Nspire
- Testing for Equivalence
- Addition and Subtraction of Polynomials
- Addition and Subtraction of Polynomials – Skill Check
- Multiplication of Polynomials
- Multiplying Polynomials – Skill Check
- Performing Arithmetic Methods on Polynomials – Algebra 1 Regents Exam Questions
- Performing Arithmetic Methods on Polynomials – Algebra 1 Mirror Questions

#### UNDERSTANDING THE RELATIONSHIP BETWEEN ZEROS AND FACTORS OF POLYNOMIALS. (A-APR.B)

Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).

#### UNDERSTAND SOLVING EQUATIONS AS A PROCESS (A-REI.A)

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

- Properties
- Understand solving equations as a process of reasoning and explain the reasoning
- Understand Solving Equations as a Process of Reasoning and Explain the Reasoning (A-REI.A) – Algebra 1 Regents Exam Questions
- Understand Solving Equations as a Process of Reasoning and Explain the Reasoning (A-REI.A) – Mirror Questions

#### SOLVE EQUATIONS AND INEQUALITIES IN ONE VARIABLE. (A-REI.B)

- Solve Linear Equations and Inequalities Algebraically
- Solve Linear Equations and Inequalities Graphically
- Solve Quadratic Equations by Completing the Square
- Solve Quadratic Equations using the Quadratic Formula
- Solve Quadratic Equations Graphically
- Solve Equations and Inequalities in One Variable – Regents Exam Questions

#### SOLVE SYSTEMS OF EQUATIONS (A-REI.C)