ALGEBRA 2 TRIG

Products and Factors of Polynomials

  1. Polynomials

  2. Using Laws of Exponents

  3. Multiply Polynomials

  4. Using Prime Factorization

  5. Factoring Polynomials

  6. Factoring Quadratic Polynomials

  7. Solving Polynomial Equations

  8. Problem Solving Using Polynomial Equations

  9. Solving Polynomial Inequalities

Rational Expressions

  1. Quotients of Monomials

  2. Zero and Negative Exponents

  3. Scientific Notation and Significant Digits

  4. Rational Algebraic Expressions

  5. Products and Quotients of Rational Expressions

  6. Sums and Differences of Rational Expressions

  7. Complex Fractions

  8. Fractional Coefficients

  9. Fractional Equations

Analytic Geometry

  1. Distance and Midpoint Formulas

  2. Circles

  3. Parabolas

  4. Ellipses

  5. Hyperbolas

  6. More on Central Conics

  7. The Geometry of Quadratic Systems

  8. System of Linear Equations in Three Variables

Exponential and Logarithmic Functions

  1. Rational Exponents

  2. Real Number Exponents

  3. Composition and Inverses of Functions

  4. Definition Of Logarithms

  5. Laws of Logarithms

  6. Applications of Logarithms

  7. Problem Solving: Exponential Growth and Decay

  8. The Natural Logarithm Function

Sequences and Series

  1. Types of Sequences

  2. Arithmetic Sequences

  3. Geometric Sequences

  4. Series and Sigma Notation

  5. Sums of Arithmetic and Geometric Series

  6. Infinite Geometric Series

  7. Powers of Binomials

  8. The General Binomial Expansion

Trigonometric Graphs; Identities

  1. Radian Measure

  2. Circular Functions

  3. Periodicity and Symmetry

  4. Graphs of the Sine and Cosine

  5. Graphs of the Other Functions

  6. The Fundamental Identities

  7. Trigonometric Addition Formulas

  8. Double Angle and Half-Angle Formulas

  9. Formulas for the Tangent

Trigonometric Applications

  1. Vector Operations

  2. Vectors in the Plane

  3. Polar Coordinates

  4. The Geometry of Complex Numbers

  5. De Moivre’s Theorem

  6. The Inverse Cosine and Inverse Sine

  7. Other Inverse Functions

  8. Trigonometric Equations

 Basic Concepts of Algebra

  1. Real Numbers and their Graphs

  2. Simplifying Expressions

  3. Basic Properties of Real Numbers

  4. Sums and Differences

  5. Products

  6. Quotients

  7. Solving Equations in One Variable

  8. Problem Solving with Equations

Inequalities and Proof

  1. Solving Inequalities in One Variable

  2. Solving Combined Inequalities

  3. Problem Solving Using Inequalities

  4. Absolute Value in Open Sentences

  5. Solving Absolute Value Sentences Graphically

  6. Theorems and Proofs

  7. Theorems about Order and Absolute Value

Linear Equations and Functions

  1. Open Sentences in Two Variables

  2. Graphs of Linear Equations in Two Variables

  3. The slope of a Line

  4. Finding an Equation of a Line

  5. System of Linear Equations in Two Variables

  6. Problem Solving: Using Systems

  7. Linear Inequalities in Two Variables

Irrational and Complex Numbers

  1. Roots of Real Numbers

  2. Properties of Radicals

  3. Sums of Radicals

  4. Binomials Containing Radicals

  5. Equations Containing Radicals

  6. Rational and Irrational Numbers

  7. The Imaginary Number i

  8. The Complex Numbers

Quadratic Equations and Functions

  1. Completing the Square

  2. The Quadratic Formula

  3. The Discriminant

  4. Equations in Quadratic Form

  5. Quadratic Functions

  6. Writing Quadratic Equations and Functions

Variation and Polynomial Equations

  1. Direct Variation and Proportion

  2. Inverse and Joint Variation

  3. Dividing Polynomials

  4. Synthetic Division

  5. The Remainder and Factor Theorems

  6. Some Useful Theorems

  7. Finding Rational Roots

  8. Approximating Irrational Roots

  9. Linear Interpolation

Triangle Trigonometry

  1. Angles and Degree Measure

  2. Trigonometric Functions of Acute Angle

  3. Trigonometric Functions of General Angles

  4. Values of Trigonometric Functions

  5. Solving Right Triangles

  6. The Law of Cosines

  7. The Law of Sines

  8. Solving General Triangles

  9. Areas of Triangles

Statistics and Probability

  1. Presenting Statistical Data

  2. Analyzing Statistical Data

  3. The Normal Distribution

  4. Correlation

  5. Fundamental Counting Principles

  6. Permutations

  7. Combinations

  8. Sample Spaces and Events

  9. Probability

  10. Mutually Exclusive and Independent Events

Matrices and Determinants

  1. Definition of Terms

  2. Addition and Scalar Multiplication

  3. Matrix Multiplication

  4. Application of Matrices

  5. Determinants

  6. Expansion of Determinants by Minors

  7. Inverse of Matrices

  8. Cramer’s Rule