Algebra 2 - C1

Syllabus

M.L.Carlomagno

MVRHS 2007 - 2008

What is Algebra?

The word algebra is of Arabic origin.  Is means equal or can be added to both sides of the equation.

Algebra is a branch of mathematics in which symbols, usually letters of the alphabet, are used to represent quantities and relationships that hold true for all members of a set.

Algebra 2 is a continuation of both Algebra1 and Geometry.  Topics include a variety of functions, linear functions, and representation of data, modeling with quadratic equations, polynomial, exponential and logarithmic functions, conic sections and an extensive study of trigonometry.

First Semester

Algebra 1 - Review

Introduction to sequences

Solving one-step algebra problems

Solving multi-step algebra problems

Chapter 1: Data and Linear Representations

Tables and graphs of linear equations

Slopes and intercepts

Linear equations in two variables

Direct variation and proportion

Scatter plots

Chapter 2: Numbers and functions

Operations with numbers

Properties of exponents

Introduction to functions

Second Semester

Chapter 3: Systems of linear equations and inequalities

Solving systems by graphing, substitution and elimination

Linear inequalities in two variables

Systems of linear inequalities

Chapter 4: Not required

Chapter 5: Quadratic functions

Introduction to quadratic functions

Introduction to solving quadratic functions

Completing the square

 The quadratic formula

Third Semester

Chapter 6: Exponential and logarithmic functions

Exponential growth and decay

Exponential functions

Logarithmic functions

Properties of logarithmic functions

 Applications of logarithmic functions

The natural base, e

Chapter 7: Polynomial functions

An introduction to polynomials

Products and factors of polynomials

Solving polynomial equations

Chapter 8: Rational functions and radical functions

Rational functions and domains of rational functions

Multiplying and dividing rational functions

Adding and subtracting rational functions

Solving rational equations

Radical expressions and radical functions

Simplifying radical expressions

Fourth Semester

SAT prep

Chapter 10: Counting principals and probability

Introduction to probability

Permutations

Combinations

Chapter 13: Trigonometric functions

Right angle trigonometry

Angles of rotation

Trigonometric functions of any angle

Graphing trigonometric functions (sin and cosine only)

Inverses of trigonometric functions

Chapter 14: Further topics in trigonometry

The law of sines

The law of cosines

Fundamental trigonometric identities