Alg 2 Trig‎ > ‎

Topics Covered

TOPICS COVERED:

Prelims

Sets of Numbers

Field Axioms and Properties Provable from Axioms

Variables, Expressions, and Polynomials

Equations, Inequalities, and Absolute Value



Functions and Relations

Graphs Two Variables

Graphs of Functions and Relations

Functions in the Real World




Linear Functions and Equations

Equations of Linear Functions and their Graphs

Linear Functions as Math Models

Linear Systems of Equations and Inequalities

Determinants, Cramer’s Rule

Matrix Operations

Inverse of a Matrix

Linear Programming



Quadratic Functions and Relations

Graphs of Quadratic Functions Parabola

Graphs of Quadratic Relations Parabola, Circle, Ellipse, Hyperbola

Equations of Quadratics from their Graphs

Imaginary and Complex Numbers

Quadratic and Linear Functions as Math Models

Equations from Geometrical Definitions

Systems of Quadratics



Exponential and Logarithmic Functions

Properties Exponential Functions

Powers of Radicals without Calculators

Scientific Notation

Solving Exponential Equations

Properties of Logarithms

Exponential and Other Functions as Mathematical Models



Rational and Irrational Algebraic Functions

Rational and Irrational Function Graphs

Discontinuities, Asymptotes, and Critical Points

Special Products, Factoring, Graphing, Division

Products, Quotients, Sums, & Differences of Rational & Irrational Expressions

Fractional and Irrational Equations:  Extraneous Solutions

Variation Functions


Higher Degree Functions

Complex Number System

Equations from solutions

Synthetic Division and Roots

Higher Degree Functions and Math Models



Trigonometry

Periodic Functions

Graphs of General Sinusoids

Inverse Trigonometric Relations and Functions

Sinusoidal Functions and Inverse Trigonometric Relations as Math Models

Properties of Trigonometric Functions

Trigonometric Identities

Trigonometric Equations

Right Triangle Trigonometry

Oblique Triangles:  Law of Sines and Cosines

Area of Triangles

Real World Triangle Problems



Probability and Data Analysis

Words associated with probability

Counting Principles

Permutations and Combinations

Properties of Probability