Algebra 2 & Trigonometry Outline I. Rational Numbers ~14 days a. Adding & Multiplying Polynomials (~1 day) b. Factoring Polynomials (~1 day) c. Quadratic Equations With Integral Roots/Ratio & Proportion (~1 day) d. Quadratic Inequalities (~1 day) e. Simplifying Rational Expressions (~1 day) f. Multiplying & Dividing Rational Expressions (~1 day) g. Adding & Subtracting Rational Expressions (~1 day) h. Complex Rational Expressions (~1 day) i. Solving Rational Equations & Inequalities (~2 days) j. Review & Assessment (~4 days) II. Real Numbers & Radicals ~12 days a. Solving Absolute Value Equations & Inequalities (~2 days) b. Simplifying Radicals (~1 day) c. Adding & Subtracting Radicals (~1 day) d. Multiplying Radicals (~1 day) e. Dividing Radicals (~1 day) f. Rationalizing the Denominator (~1 day) g. Solving Radical Equations (~2 days) h. Review & Assessment (~3 days) III. Quadratic Functions & Complex Numbers ~12 days a. Real Roots of a Quadratic Formula (~1 day) b. The Discriminant (~1 day) c. Complex Numbers (~2 days) d. Operations with Complex Numbers (~2 days) 1 Algebra 2 & Trigonometry Outline e. Complex Roots of a Quadratic Equation (~1 day) f. Sum & Product of the Roots of a Quadratic Equation (~1 day) g. Solving Higher Degree Polynomial Equations (~1 day) h. Review & Assessment (~3 days) IV. Relations & Functions ~12 days a. Relations, Functions, & Function Notation (~1 day) b. Linear Functions & Direct Variation (~1 day) c. Types of Functions (~1 day) d. The Algebra of Functions (~1 day) e. Compositions of Functions (~2 days) f. Inverse Functions (~1 day) g. Circles (~1 day) h. Inverse Variation (~1 day) i. Review & Assessment (~3 days) V. Exponents & Logarithms ~17 days a. The Laws of Exponents (~1 day) b. Zero, Negative, and Fractional Exponents (~1 day) c. Exponential Functions & Their Graphs (~1 day) d. Solving Equations Involving Exponents (~1 day) e. Solving Exponential Equations (~1 day) f. Applications of Exponential Functions (~1 day) g. Inverse of an Exponential Function (~1 day) h. Logarithmic Form of an Exponential Equation (~1 day) i. Logarithmic Relationships (~1 day) j. Common Logs and Natural Logs (~1 day) 2 Algebra 2 & Trigonometry Outline k. Exponential Equations (~1 day) l. Logarithmic Equations (~1 day) m. Review & Assessment (~5 days) VI. Sequences & Series ~9 days a. Sequences (~1 day) b. Arithmetic Sequences (~1 day) c. Sigma Notation (~1 day) d. Arithmetic Series (~1 day) e. Geometric Sequences (~1 day) f. Geometric Series (~1 day) g. Infinite Series (~1 day) h. Review & Assessment (~2 days) VII. Probability & Statistics ~14 days a. Gathering Data (~1 day) b. Measures of Central Tendency for Grouped Data (~1 day) c. Variance & Standard Deviation (~1 day) d. Normal Distribution (~2 days) e. Regression Equations/Interpolation & Extrapolation (~2 days) f. Probability With Two Outcomes (~2 days) g. Binomial Probability & The Normal Curve (~1 day) h. The Binomial Theorem (~1 day) i. Review & Assessment (~3 days) VIII. Trigonometric Functions ~14 days a. Right Triangle Trigonometry/Angles as Rotations (~1 day) b. The Unit Circle, Sine, & Cosine (~1 day) 3 Algebra 2 & Trigonometry Outline c. The Tangent Function (~1 day) d. The Reciprocal Trigonometric Functions (~1 day) e. Function Values of Special Angles (~1 day) f. Finding Trigonometric Functions Values Using a Calculator (~1 day) g. Reference Angles & The Calculator (~1 day) h. Radian Measure (~1 day) i. Trigonometric Function Values & Radian Measure (~1 day) j. Pythagorean Identities (~1 day) k. Cofunctions (~1 day) l. Review & Assessment (~3 days) IX. Trigonometric Graphs ~ 10 days a. Graphs of Sine & Cosine (~1 day) b. Amplitude, Period, Frequency, & Phase Shift (~2 days) c. Writing the Equation of a Sine or Cosine Graph (~1 day) d. Graph of Tangent, Cotangent, Secant, and Cosecant Functions (~1 day) e. Graphs of Inverse Trigonometric Functions (~1 day) f. Sketching Trigonometric Graphs (~1 day) g. Review & Assessment (~3 days) X. Trigonometric Applications ~ 9 days a. The Law of Cosines (~1 day) b. Area of a Triangle (~1 day) c. The Law of Sines (~1 day) d. The Ambiguous Case (~1 day) e. Solving Triangles (~2 days) f. Review & Assessment (~3 days) 4 Algebra 2 & Trigonometry Outline XI. Trigonometric Equations & Identities ~13 days a. Basic Identities & Verifying Trigonometric Identities (~1 day) b. Cosine of the Sum/Difference of 2 Angles (~1 day) c. Sine of the Sum/Difference of 2 Angles (~1 day) d. Tangent of the Sum/Difference of 2 Angles (~1 day) e. Functions of Double Angles (~1 day) f. Functions of Half Angles (~1 day) g. First Degree Trigonometric Equations (~1 day) h. Second Degree Trigonometric Equations (~2 days) i. Using Substitution to Solve Trig Equations Involving More than One Function (~1 day) j. Review & Assessment (~3 days) XII. Regents Review 5 .