Steeleville High School

Prerequisites: Algebra I

Level: 10 th grade

Credits: 1.0 - Mathematics

Additional: This course is accepted as a math credit for h.s. graduation

This course is accepted as a math credit for college admission

This course is accepted as a math credit by the NCAA

Course Description

Algebra II continues a more in-depth study of the concepts first introduced in Algebra I. Systems with three equations and three variables are components used to solve problems using algebraic methods. The basic concepts will continue to be utilized while more analytical methods will be explored.

Course Objectives

Students will demonstrate and apply their knowledge of order of operations with expressions and equations through problems solving.
Students will know and apply algebraic methods to formulate and solve problems.
Students will be able to investigate and apply their knowledge to solve problems.
Students will be able to use technology to solve problems and interpret results.
Students will be able to use variable and recognize patterns of numerical relationships.
Students will be able to apply probability to different types of events.
Students will be able to operate the Accel-Scan scanner to grade Accelerated Math

Course Outline

1. Real Numbers, Equations, and Inequalities

Graph on the number line
Structure of the real numbers
Properties of the real numbers
Solving equations and inequalities in one variable
Solve absolute value equations and inequalities

2. Functions and Graphs

Symmetry
Relations, functions and graphs
Linear functions
Explore absolute value
Symmetry in other functions
Inverse functions

3. Systems of Linear Equations

Solve systems of linear equations
Solve systems in three variables
Augmented matrices
Multiplying matrices
Identity and inverse matrices
Solve systems using inverse matrices
Determinants and Cramer’s Rule

4. Polynomials and Factoring

Polynomials
Operations with polynomials
Factoring
Factoring completely
Solving polynomial equations by factoring

5. Quadratic Functions and Equations

Solve quadratic equations by completing the square
Graphing quadratic functions
Use the quadratic formula
Solve equations in quadratic form
Monthly payment formula and car project

6. Inequalities and Linear Programming

Graph linear inequalities and systems of inequalities
Solve quadratic inequalities in one variable
Graph quadratic inequalities
The objective function

7. Exponents and radicals

Explore exponents and radicals
Rational exponents and radicals
Graphing radical functions
Solve radical equations
Complex numbers and the quadratic equation
Operations with complex numbers

8. Rational Expressions and Equations

Explore rational functions
Graph rational functions
Inverse and joint variation
Simplify, multiply, divide, add and subtract rational expressions
Simplifying complex rational expression
Solve rational equations

9. Conic Sections

The distance and midpoint formulas
Circles
Ellipses
Hyperbolas
Parabolas
Identify equations of conic sections

Teaching Methods

This class is taught through lecture, projects and group and peer learning.

Assessment

Participation in everyday classroom activities.
Chapter exams, quizzes and daily homework assignments.
Cooperative learning situations evaluated during and after completion of the project.
Oral presentation involving student demonstrating direct instruction of concept and guided practice.
Renaissance Learning Web-Based Software Practice and Tests

Text
South-Western Algebra II: An Integrated Approach , South-Western Educational Publishing, 1998

Supplemental Program
Renaissance Learning Web-Based Software, 2000-2006

Enrichment

Enrichment exercises are administered through individual worksheets.



SHS Home	Algebra II	Courses Home
Prerequisites: Algebra I Level: 10 th grade Credits: 1.0 - Mathematics Additional: This course is accepted as a math credit for h.s. graduation This course is accepted as a math credit for college admission This course is accepted as a math credit by the NCAA Course Description Algebra II continues a more in-depth study of the concepts first introduced in Algebra I. Systems with three equations and three variables are components used to solve problems using algebraic methods. The basic concepts will continue to be utilized while more analytical methods will be explored. Course Objectives Students will demonstrate and apply their knowledge of order of operations with expressions and equations through problems solving. Students will know and apply algebraic methods to formulate and solve problems. Students will be able to investigate and apply their knowledge to solve problems. Students will be able to use technology to solve problems and interpret results. Students will be able to use variable and recognize patterns of numerical relationships. Students will be able to apply probability to different types of events. Students will be able to operate the Accel-Scan scanner to grade Accelerated Math Course Outline 1. Real Numbers, Equations, and Inequalities Graph on the number line Structure of the real numbers Properties of the real numbers Solving equations and inequalities in one variable Solve absolute value equations and inequalities 2. Functions and Graphs Symmetry Relations, functions and graphs Linear functions Explore absolute value Symmetry in other functions Inverse functions 3. Systems of Linear Equations Solve systems of linear equations Solve systems in three variables Augmented matrices Multiplying matrices Identity and inverse matrices Solve systems using inverse matrices Determinants and Cramer’s Rule 4. Polynomials and Factoring Polynomials Operations with polynomials Factoring Factoring completely Solving polynomial equations by factoring 5. Quadratic Functions and Equations Solve quadratic equations by completing the square Graphing quadratic functions Use the quadratic formula Solve equations in quadratic form Monthly payment formula and car project 6. Inequalities and Linear Programming Graph linear inequalities and systems of inequalities Solve quadratic inequalities in one variable Graph quadratic inequalities The objective function 7. Exponents and radicals Explore exponents and radicals Rational exponents and radicals Graphing radical functions Solve radical equations Complex numbers and the quadratic equation Operations with complex numbers 8. Rational Expressions and Equations Explore rational functions Graph rational functions Inverse and joint variation Simplify, multiply, divide, add and subtract rational expressions Simplifying complex rational expression Solve rational equations 9. Conic Sections The distance and midpoint formulas Circles Ellipses Hyperbolas Parabolas Identify equations of conic sections Teaching Methods This class is taught through lecture, projects and group and peer learning. Assessment Participation in everyday classroom activities. Chapter exams, quizzes and daily homework assignments. Cooperative learning situations evaluated during and after completion of the project. Oral presentation involving student demonstrating direct instruction of concept and guided practice. Renaissance Learning Web-Based Software Practice and Tests Text South-Western Algebra II: An Integrated Approach , South-Western Educational Publishing, 1998 Supplemental Program Renaissance Learning Web-Based Software, 2000-2006 Enrichment Enrichment exercises are administered through individual worksheets.