ALGEBRA II /TRIG

2-hours per session

Experienced Teachers

Carefully crafted lesson planning

Small group instruction

Assessment of the individual students needs

Rigorous and dynamic sessions

Welcome to our advanced Algebra II and Trigonometry Program, widely known for its unique structure and sequence. The program is designed for advanced high school students capable of dynamic and rigorous instruction. Our students will continue to investigate various topics explored previously in Algebra I and immerse themselves in the world of logarithmic functions, advanced polynomial and rational expressions, complex fractions, and other fundamental aspects of trigonometry. Join the Smart Start USA Algebra II and Trigonometry Program, score at the top of your class, and build up your confidence for the Regents Examination. 

• Prepares students for Algebra II and Trigonometry Regents Exam 
• Experienced, licensed teachers 
• Carefully crafted teaching instruction 
• Assessment of the individual student’s needs
• Rigorous and dynamic sessions that build an understanding of essential mathematical concepts 
• Emphasis on test-taking skills and time management
• Interactive instruction that boosts students’ motivation
•  learning atmosphere where students are active participants in group discussions 
• 2-hour session/once per week  

Class Curriculum

• Rational Numbers
• Simplifying Rational Expressions
• Multiplying and Dividing
• Adding and Subtraction
• Complex Rational Expressions
• Solving Rational Equations and Inequalities
• Solving Problems
• Radicals
• Rational Exponents
• Rationalizing a Denominator
• Solving Radical Equations
• Simplifying Radicals
• Relation and Functions
• ALGEBRA OF FUNCTIONS
• Composition of Functions
• Inverse Function
• Inverse Variation
• Complex numbers
• Quadratic Functions
• Real Roots
• The Discriminant
• Complex Roots of  Quadratic Equations
• Solving Quadratic Equations with Substitution
• Solution of Systems of Equations and Inequalities
• Focus and Directrix
• The Equation of Circles
• Quadratic functions in the Context of Word Problems
• Polynomial Functions
• Name and Power
• Long and Synthetic Divisions
• Remainder Theorem
• Graph Properties and Function Transformations
• End Behavior
• Average Rate of Change
• Even and Odd Functions
• Inverse Functions
• Linear Systems in Three Variables
• Exponential Functions
• Graphs of Exponential Functions
• Exponential and Continuous Growth and Decay
• Exponential Expressions
• Rewriting Exponential Expressions
• Exponential Functions in the Context of Word Problems
• Logarithms
• Logarithmic Equation
• Application with Logarithms and Exponents
• Sequences and Series
• Arithmetic Sequences
• Geometric Sequences
• Recursive Sequences
• Infinite Series
• Sigma Notation
• Trigonometric Ratios
• Trigonometry of the Right Triangle
• Six Trigonometric Ratios
• Exact Value and Special Triangles
• Cofunctions
• Finding Sides and Angles in a Triangles
• Trigonometric Applications
• Law of Cosine and Sine
• The Ambiguous Case
• Solving Triangles
• Trigonometric Functions
• Graphs of Sine and Cosine Functions
• Amplitude, Period, and Phrase Shift
• Graphs of Tangent and Reciprocal Functions
• Unit Circle
• Angles as Rations
• Conterminal Angles
• Reference Angles
• Radian Measure Changing Degrees of Radians
• Length of Arc
• Trigonometric Identities
• Formulas of Sums and Differences of Trigonometric Functions
• Solving First and Second-Degree Trigonometric Equation
• Probability
• Theoretical and Empirical Probability
• Probability Involving And or Or
• Conditional Probability
• Statistics
• Observational Studies and Experiments
• Normal Distribution and Confidence Interval