Rhea County High School

Semester Syllabus

Math #223103 Algebra II

Mr. Zac Brown

Course Description:

This course continues the development in mathematical topics begun in Algebra I.  This course also introduces matrices and complex numbers

Prerequisites: 

Algebra I

Textbook and other reference materials:

Larson, Roland E., and Timothy D. Kanold. Algebra II. D.C. Heath and Company, 1993.

A graphing calculator is available for class use, but having your own is recommended.  Instructor will use a Texas Instrument TI-83 plus graphing calculator.  A calculator with a computer algebra system, such as the TI-89 and TI-92, is not allowed.  

Instructional Objectives:

The student will be able to:

1.1     Real numbers and number operations

• Graph and order real numbers
• Identify and use properties of real numbers

1.2     Algebraic Expressions and Models

• Evaluate algebraic expressions
• Simplify algebraic expressions

1.3     Solving Linear Equations

• Solve equations
• Solve problems by writing equations

1.4     Problem- Solving Strategies

• Use problem solving strategies to solve real life problems

1.5     Literal Equations and Formulas

• Solve literal equation for a specific variable
• Evaluate for specified values of the other variable

1.6     Solving Linear Inequalities

• Solve and graph single inequalities
• Solve and graph compound inequalities

1.7     Solving Absolute Value Equations and inequalities

• Solve absolute value equations
• Solve absolute value inequalities

2.1     The graph of the equation

• Sketch a graph using a table of values
• Identify equations whose graphs are horizontal and vertical lines

2.2     Slope and rate of change

• Find slope of a line
• Identify parallel and perpendicular lines from their slopes
• Interpret slope as a rate of change

2.3     Quick graphs of linear equations

• Use intercepts to sketch a quick graph of a line
• Use the slope-intercept form of a line to sketch a quick graph

2.4     Writing equations of lines

• Write equation of lines
• Use equations of lines to solve real life problems

2.5     Graphing linear inequalities in two variables

• Graph a linear inequality in two variables
• Use a linear inequality in two variables to model real life models

2.6     Graphs of absolute value equations

• Graph absolute value equations
• Use graphs of absolute value equations to answer questions about real life

2.7     Exploring date: Fitting a line to data

• Fit a line to a set of data and write an equation for the line
• Identify whether a set of data shows positive or negative correlation, or no correlation

3.1     Solving linear systems by graphing

• Graph and solve a system of linear equations
• Use a linear system to answer questions about a real-life situation

3.2     Solving linear systems algebraically

• Use algebraic methods to solve a linear system
• Use a linear system to answer questions about a real-life situation

3.3     Problem solving using linear systems

• Write and use linear systems to model real-life situations

3.4     Solving systems of linear inequalities

• Graph a system of linear inequalities to find the solution of the system
• Use a system of inequality to model a real-life situation

3.5     Exploring data: Linear programming

• Solve a linear programming problem
• Use a linear programming to answer questions about real-life situation

3.6     Solving systems of linear equations in three variables

• Solve a system of linear equations in three variables
• Use a system in three variables to answer questions in real-life situation

4.1     Exploring data: matrix operations

• Organize data into matrices and work them, using addition, subtraction, and scalar
• Use matrices in real life situation

4.2     Matrix multiplication

• Multiply two matrices
• Use matrix multiplication to answer real life situation

4.3     Determinants

• Evaluate the determinant of a 2x2 or a 3x3 matrix
• Use determinants to solve real-life problem

4.4     Identify and Inverse matrices

• Find and use the inverse of a 2x2 matrix

• Use inverse matrices in real –life setting

4.5     Solving systems using inverse matrices

• Solve systems of linear equations using inverse matrices
• Use system of linear equations to solve real life problems

4.6     Solving systems using augmented matrices

• Use a augmented matrix to solve a system of linear equation
• Use a system of linear equations to solve real-life problems

4.7     Solving systems using Cramer’s rule

• Use Cramer’s rule to solve a system of linear equations
• Use linear systems to solve real life problems

7.1     Properties of exponents

• Evaluate and simplify exponential expressions
• Use powers as models in real-life problems

7.2     Exploring data: Compound interest and exponential growth

• Use compound interest formula and the exponential growth and decay formulas

7.3     Nth roots and rational exponents

• Evaluate nth roots of real numbers using radical notation
• Evaluate nth roots of real numbers using rational exponent notation

7.4     Properties of roots of real numbers

• Evaluate and simplify expressions containing radicals
• Evaluate and simplify expressions containing rational exponents

7.5     Solving radical equations

• Solve equations that have radicals and rational exponents
• Use radical equations to solve real-life problems

9.1     Operations with polynomials

• Add, subtract, and multiply polynomials
• Use polynomials operations to solve real-life problems

9.2     Graphs of polynomial functions

• Sketch the graph of a polynomial function
• Use polynomial functions as models of real-life situations

9.3     Factoring: Polynomials and solving polynomial equations

• Factor polynomial expressions and equations
• Use factoring to solve real-life problems

9.4     Polynomial division, factors, and remainders

• Divide polynomial using long division
• Divide polynomial using synthetic division
• Relate the quotient to the remainder theorem and the factor theorem

9.5     Finding rational zeros

• Find the rational zeros of a polynomial function
• Use the zeros of a polynomial function to solve real-life problems