ABOUT ALGEBRA 1 and 2

Algebra, Parts 1 and 2 review fundamental and teach advanced concepts of algebra using real-world applications. The series includes instruction similar to the College Algebra television program shown on PBS. It contains 30 hours of audio and video instruction, over 2,000 instructional screens, and 2,200 test and exercise questions with feedback information. It also utilizes interactive activities to help learners grasp complex concepts rapidly. In addition, the series is enhanced by an online dictionary, a graphing calculator, and a narration feature that reads the text.

The Video Component

The programs utilize instruction produced by COMAP (Consortium for Mathematics and Its Applications) and the Annenberg Foundation, which has been successfully used as a complete telecourse by hundreds of two- and four-year institutions. Master Instructor Dr. Sol Garfunkel hosts the interesting, well-produced video. The video series is a winner of the Columbus International Film Festival Award.

The Multimedia Components

24 multimedia books composed of three chapters each
Hundreds of screens of instruction that blend information in text, graphics, and segments of instructional video
Approximately ten hours of instructional video incorporated within the 24 books
Hundreds of test questions and interactive exercise questions with feedback

Online tools:     scientific calculator with graphing functions   
                  English dictionary with Spanish translation
                  thesaurus
                  instructional text narration

Automatic retard keeping of test and exercise scores as well as time in books

WHAT YOU WILL LEARN IN ALGEBRA PART 1

Book 1 - Language of Algebra
Classify numbers into number sets.
Evaluate algebraic expressions.
Simplify algebraic expressions using the commutative, associative, and distributive properties.
Evaluate expressions containing more than one operational symbol.
Book 2 - Exponents and Radicals
Evaluate algebraic expressions using the power and product rules.
Simplify and evaluate expressions using the quotient rule and negative exponents.
Determine the meaning of roots and radicals.
Evaluate algebraic expressions involving rational exponents.
Book 3 - Factoring Polynomials
Combine polynomials by addition or subtraction.
Multiply polynomials using the distributive property.
Factor a polynomial by extracting the greatest common factor of terms.
Extract binomial factors of trinomials.
Factor perfect square trinomials.
Book 4 - Linear Equations
Solve linear equations.
Solve linear equations containing decimals and fractions.
Express word problems as equations and solve them.
Express the relationships in proportion problems and solve them.
Express simple work problems as equations and solve them.
Book 5 - Complex Numbers
Perform basic operations with imaginary numbers.
Recognize complex numbers in the complex plane.
Add and subtract complex numbers.
Multiply and divide complex numbers.
Book 6 - Quadratic Equations
Solve simple quadratic equations by trial and error.
Solve quadratic equations by factoring the difference of two squares.
Solve quadratic equations by factoring perfect square trinomials.
Solve quadratic equations by completing the square.
Solve quadratic equations by using the quadratic formula.
Book7 - Inequalities
Solve problems of simple inequalities.
Solve real-world problems involving inequalities.
Solve quadratic inequalities.
Solve rational inequalities.
Book 8 - Absolute Value and Review
Interpret basic absolute value expressions.
Solve absolute value equations.
Solve absolute value inequalities.
Use the basic algebra concepts you have learned to solve real-world problems.
Book 9 - Linear Relations
Interpret equations and their graphs.
Develop a linear equation using a graph.
Interpret graphs and their linear equations.
Write equations from ordered pairs and determine the distance between two points.
Book 10 - Circles and Parabolas
Determine the radius and coordinates of a circle given an equation of a circle.
Identify the characteristics of parabolas.
Interpret graphs of parabolas using the general form of the equation for the parabola.
Book 11 - Ellipse and Hyperbola
Determine the equation of an ellipse.
Graph an ellipse when given its equation.
Determine the characteristics of hyperbolas when using their graphs or equations.

WHAT YOU WILL LEARN IN ALGEBRA PART 2

Book 1 - Functions
Determine whether or not a given relationship is a function.
Represent a function by using ordered pairs and graphs.
Determine range values for given values in the domain using the equation of a function.
Identify four types of functions: linear, step, absolute value, and quadratic.
Book 2 - Composition and Inverse Functions
Combine functions arithmetically to obtain new functions.
Perform a composition of functions.
Find the inverse of a function.
Identify functions that do not have an inverse.
Book 3 - Variation
Recognize and use direct variation in solving problems.
Recognize and use inverse relationships in solving problems.
Solve problems involving combined and joint variation.
Book 4 - Polynomial Functions
Identify polynomial functions by their general features and degrees.
Find the zero values of polynomial functions by factoring and using the factor theorem.
Interpret graphs of polynomials.
Identify the number of zero values in polynomial functions using the Fundamental Theorem of Algebra.
Book 5 - Rational Functions
Identify the main characteristics of rational functions.
Interpret and graph rational functions with horizontal and vertical asymptotes.
Interpret and graph rational functions with horizontal, no horizontal, or oblique asymptote.
Book 6 - Exponential Functions
Solve problems involving exponential growth functions.
Solve real-world problems involving exponential decay functions.
Solve real-world problems involving the compounding effect.
Book 7 - Logarithmic Functions
Identify and interpret logarithmic notation.
Solve equations using logarithms.
Solve equations using natural logarithms.
Book 8 - Systems of Equations
Solve systems of linear equations with two variables using the substitution method.
Solve consistent systems of linear equations that have more than two variables.
Solve systems of nonlinear equations.
Book 9 - Systems of Linear Inequalities
Identify the feasible region or solution of a system of linear inequalities.
Find the point which maximizes or minimizes an objective function by using the corner principle.
Book 10 - Sequences, Series, and Induction
Recognize an arithmetic sequence and find any term in its sequence.
Identify and work with different types of natural sequences.
Determine the sum of the terms in a finite arithmetic sequence.
Apply the procedure for mathematical induction and disprove statements by producing a counterexample.
Book 11 - Geometric Sequences and Series
Find any term in a geometric sequence and find the common ratio of the sequence.
Determine the first term and common ratio of a geometric sequence from any two known terms.
Find the sum of any finite or infinite geometric series.
Book 12 - Permutations and Combinations
Apply the fundamental principle of counting to determine possible outcomes.
Apply permutations in appropriate problems.
Calculate combinations in appropriate problems.
Book 13 - Probability
Define terms dealing with probability and calculate simple probabilities.
Calculate expected values.
Calculate probabilities when independence is an issue.