Algebra 2 and Trigonometry
1. The Integers
 Reviewing Real Numbers and Solving Number Sentences
 Operations with Polynomials
 Factoring
 Solving Quadratics Equations by Factoring
 Solve Absolute Value Equations
 Solve and Graph on Number Line Absolute Value Inequalities
 Solving Quadratic Inequalities
2. The Rational Numbers
 Simplifying Rational Expressions
 Operations with Rational Expressions
 Simplifying Complex Fractions
 Solving Fractional Equations and Inequalities
(9 days)
(Days include
review and test)
(10 days)
3. Relations and Functions
(15 days)
 Relations (Domain and Range)
 Functions (Vertical Line Test, One-to-One, Onto, Into, Domain and Range)
 Functional Notation
 Types of Functions (Constant, Linear, Quadratic, Absolute Value, Square Root)
 Transformations with Functions
 Polynomial Functions
 Operations with Functions
 Composition of Functions
 Inverse Functions
 Circles (General Form and Standard Form, Completing the Square)
 Direct and Inverse Variation
4. Real Numbers and Radicals
 Simplifying Radicals
 Addition and Subtraction of Radicals
 Multiplication and Division of Radicals
 Rationalizing a Denominator Containing a Radical
 Solving Radical Equations
(7 days)
5. Quadratic Functions and Complex Numbers
 Real Roots of a Quadratic Equation
 Quadratic Formula
 Discriminant
 Complex Numbers
 Operations with Complex Numbers
 Complex Roots of a Quadratic Equation
 Sum and Product of the Roots of a Quadratic Equation
 Solving Higher Degree Polynomial Equations
 Solutions of Systems of Equations and Inequalities
(14 days)
6. Sequences and Series
 Sequences
 Arithmetic Sequences
 Sigma Notation
 Arithmetic Series
 Geometric Sequences
 Geometric Series
(7 days)
7. Exponential Functions
 Laws of Exponents
 Zero and Negative Exponents
 Fractional Exponents
 Exponential Functions and Their Graphs
 Solving Equations Involving Fractional and Negative Exponents
 Solving Exponential Equations
 Applications of Exponential Functions
(7 days)
8. Logarithmic Functions
 Inverse of an Exponential Function
 Logarithmic Form of an Exponential Equation
 Logarithmic Relationships
 Common Logs
 Natural Logs
 Exponential Equations (Include base e)
 Logarithmic Equations
(11 days)
Midterm (5 days of review)
9. Trigonometric Functions
 Right Triangle Trigonometry
 Angles and Arcs as Rotations
 The Unit Circle
 Radian Measure
 Special Angles
 Reference Angles and Coterminal Angels (Find Exact Value)
 Reciprocal Trig Functions
 Cofunctions
(12 days)
10. Graphs of Trigonometric Functions
(12 days)
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Graphs of Sine Function
Graphs of Cosine Function
Amplitude, Period, and Phase Shift
Writing the Equation of a Sine or Cosine Graph
Graph of Tangent Function
Graphs of Reciprocal Functions
Graphs of the Inverse Trig Functions
Sketching Trigonometric Graphs
11. Trigonometric Applications
 Area of a Triangle
 Law of Sines
 Law of Cosines
 The Ambiguous Case
 Applications of Triangles
 Forces
 Double Triangle
(8 days)
12. Trigonometric Identities
 Basic Identities
 Sum and Difference Formulas for Trig Functions
 Double Angles
 Half Angle Formulas
(8 days)
13. Trigonometric Equations
(8 days)
 First-Degree Trigonometric Equations
 Solving Second-Degree Trigonometric Equations (factoring and quadratic formula)
 Solving Trig Equations Involving Substitution
14. Probability and the Binomial Theorem
(9 days)
 The Counting Principle
 Permutations and Combinations
 Probability
 Binomial Probability and the Normal Curve (exactly, at most and at least)
 The Binomial Theorem
15. Statistics
 Understand the Differences Among Various Kinds of Studies
 Determine Factors Which Could Effect the Outcome of a Survey
 Measures of Central Tendency
 Measures of Central Tendency for Grouped Data
 Measures of Dispersion for Both Samples and Populations
 Variance and Standard Deviation
 Normal Distribution
 Correlation Coefficient
 Regressions (Linear, Logarithmic, Exponential, Power)
 Regression Analysis (Interpolation and Extrapolation)
Regents Exam (13 days of review)
(9 days)