Algebra 2 & Trigonometry Outline

Home , Law of cosines, Trigonometric functions, Trigonometry

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)

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)

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)

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)

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