12_Advanced Math _At a Glance_09/18

Advanced Math

1st Quarter 3rd Quarter

Equations and Inequalities

- Linear and Absolute Value Equations
- Formulas and Applications
- Quadratic Equations
- Other Types of Equations
- Variation and Applications

Functions and Graphs

- A Two-Dimensional Coordinate System and Graphs
- Introduction to Functions
- Linear Functions
- Quadratic Functions
- Properties of Graphs
- The Algebra of Functions
- Modeling Data Using Regression

2nd Quarter

Polynomial And Rational Functions

- The Remainder Theorem and the Factor Theorem
- Polynomial Functions of Higher Degree
- Zeros of Polynomial Functions
- The Fundamental Theorem of Algebra
- Graphs of Rational Functions and Their Applications

Exponential and Logarithmic Functions

- Inverse Functions
- Exponential Functions and Their Applications
- Logarithmic Functions and Their Applications
- Logarithms and Logarithmic Scales
- Exponential and Logarithmic Equations
- Exponential Growth and Decay
- Modeling Data with Exponential and Logarithmic Functions

Topics in Analytic Geometry

- Parabolas
- Ellipses
- Hyperbolas

Systems of Equations

- Systems of Linear Equations in Two Variables
- Systems of Linear Equations in More Than Two Variables
- Nonlinear Systems of Equations
- Partial Fractions
- Inequalities in Two Variables and Systems of Inequalities
- Linear Programming

4th Quarter

Matrices

- Gaussian Elimination Method
- The Algebra of Matrices
- The Inverse of a Matrix
- Determinants
- Cramer’s Rule

Sequences, Series, and Probability

- Infinite Sequences and Summation Notation
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- Mathematical Induction
- The Binomial Theorem
- Permutations and Combinations
- Introduction to Probability