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Pre-Algebra 1
Algebra 1
Geometry
Algebra 2
Precalculus
Calculus
Regents Review by Individual Section
New York State Regents Exams
Precalculus
Unit 1: Matrices
Concept 1: Introduction to Matrices; Addition and Subtraction of Matrices
Concept 2: Multiplication of Matrices
Concept 3: Solving Systems Using Gauss- Jordan Elimination
Concept 4: The Determinant; Inverse of a 2 x 2 matrix
Concept 5: Cramer's Rule
Unit 2: Equations and Inequalities
Concept 1: Quadratic Equations; Completing the Square
Concept 2: Solving Polynomial Equations Algebraically
Concept 3: Solving Polynomial Equations Graphically
Concept 4: Radical Equations; Equations with Rational Exponents
Concept 5: Solving Rational (Fractional) Equations
Concept 6: Solving Absolute Value Equations
Concept 7: Solving Inequalites; Rational Inequalities; Absolute Value Inequalities
Concept 8: Partial Fraction Decomposition
Unit 3: Functions and their Graphs
Concept 1: Evaluating Functions
Concept 2: The Difference Quotient
Concept 3: Piecewise Functions; Converting Absolute Value Functions to Piecewise Functions
Concept 4: Shifting, Reflecting, and Stretching Graphs
Concept 5: Combinations of Functions
Concept 6: Composition of Functions
Concept 7: Inverse Functions
Concept 8: Combinations of Functions: (f +g)(x), (f - g)(x), etc
Unit 4: Polynomial and Rational Functions; Finding Zeros
Concept 1: Solving Higher Degree Equations Algebraically
Concept 2: Solving Higher Degree Equations Graphically
Concept 3: Review of Imaginary and Complex Numbers
Concept 4: Asymptotes, Holes and Graphing Rational Functions
Concept 5: Graphing Quadratic Inequalities
Unit 5: Limits
Concept 1: Techniques For Evaluating Limits
Concept 2: Left and Right Hand Limits
Concept 3: Limits Involving Infinity
Concept 4: Continuity
Concept 5: Asymptotes and Holes
Concept 6: Limits Involving Trigonometric and Exponential Functions
Unit 6: Derivatives
Concept 1: The Limit Definition of the Derivative
Concept 2: The Power Rule Involving Algebraic Functions
Concept 3: The Product Rule Involving Algebraic Functions
Concept 4: The Quotient Rule Involving Algebraic Functions
Concept 5: Applications of the Derivative: Tangent and Normal Lines
Unit 7: Trigonometric Functions and Graphs
Unit 8: Trigonometric Identities and Equations and Identities
Concept 1: The Sum or Difference of Two Angle Measures (Optional CC Topic)
Concept 2: Function Values of Half/Double Angle Measures (Optional CC Topic)
Concept 3: Single Function First Degree Trigonometric Equations (Optional CC Topic)
Concept 4: Single Function Second Degree Trigonometric Equations (Optional CC Topic)
Concept 5: Trigonometric Equations With Two Functions (Optional CC Topic)
Unit 9: Applications Of Trigonometric Functions
Concept 1: The Law of Sines
Concept 2: Area of a Triangle
Concept 3: The Law of Cosines
Concept 4: The Ambiguous Case: How Many Triangles?
Concept 5: Applications of Trigonometry; Force Problems
Unit 10: Exponential and Logarithmic Functions
Concept 2: The Natural Base "e"
Concept 3: The Logarithmic Function and its Graph
Concept 4: Rules of Logarithms: Product, Quotient, Power
Concept 5: The Natural Logarithm: lnx
Concept 6: Solving Exponential Equations Using Logarithms
Concept 7: Solving Logarithmic Equations
Concept 8: Applications with Exponential & Logarithmic Functions
Unit 11: Sequences and Series
Unit 12: Polar Coordinates and Graphs
Concept 1: Plotting Points in Polar Coordinates
Concept 2: Converting Coordinates
Concept 3: Converting Equations to Polar and/or Rectangular Form
Concept 4: Graphs in Polar Coordinates
Unit 13: The Conic Sections
Concept 1: The Circle
Concept 2: The Parabola
Concept 3: The Ellipse
Concept 4: The Hyperbola
Concept 5: Classifying the Conics