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Algebra 2 Syllabus

by Carol Braun

September 22, 2005

Algebra 2 Syllabus

Reason for class: The purpose of Algebra 2 is to build n the concept tat the student learned in Algebra and Geometry. This class is also a higher level class tat will help prepare the student for some college level math classes. This class will also help the student build better problem solving skills.

Data and Linear Representations:

Table and graphs of linear equations

Slopes and intercepts

Linear equations in two variable

Direct variation and proportion

Scatter plots and least-square lines

Solving equations

Solving inequalities

Solving absolute value equations

Number an d Functions:

Operations with numbers

Properties of exponents

Introduction to functions

Operations with functions

Inverse functions Special functions

Systems of Linear Equations and Inequalities:

Solving systems by graphing

Solving systems by elimination

Linear inequalities 2 variables

Linear programming

Matrices:

Using matrices to represent data

Matrix multiplication

Inverse of a matrix

Solving systems with matrices

Using matrix row operations

Quadratic Functions:

Quadratic functionsS

olving quadratic functions

Factoring Quadratic expressions

Quadratic equations an complex numbers

Exponents an Logarithmic Functions:

Exponential growth and decay

Exponential functions

Logarithmic functions

Properties of logarithmic functions

Applications of common logarithms

The natural base e

Solving equations

 

Algebra 2 - 2nd Semester

Rational Functions and Radical Functions:

Inverse, joint, and combined variation

Rational functions and their graphs

Multiplying and dividing rational expressions

Adding and subtracting rational expressions

Solving rational equations

Radical expressions and radical functions

Simplifying radical expressions

Solving radical equations

Counting Principles and Probability

Introduction to probability

PermutationsCombinations

Using Addition with probability

Independent events

Dependent events and conditional probability

Experimental probability and simulation

Statistics

Measures of central tendency

Stem and leaf plots, histograms, and circle graphs

Box an whisker plots

Measure of dispersion

Trigonometric Functions:

Right-triangle trigonometry

Angles of rotation

Trigonometric functions of any angle

Radian Measure and arc-length

Inverse of trigonometric functions

Further Topics in Trigonometry

Law of sines

Law of cosine

Fundamental trigonometric identities

Sum and difference identities

Conic Sections:

Introduction to conic sections

ParabolasCirclesEllipses

Hyperbolas

Solving nonlinear systems

Polynomial Functions:

Introduction to polynomials

Polynomial functions an their graphs

Products and factors of polynomials

Algebra 2 Syllabus

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