Algebra I Video Series

The Algebra I video series on DVD was made to give students clear, concise explanations of topics in a manner that the student may enjoy while acquiring the skills necessary to be successful in current and future mathematical courses. Throughout each DVD segment, pertinent definitions, theorems, and steps are shown and clearly explained. To reinforce these mathematical ideas, they are continually referenced and reviewed as examples are worked. Careful attention has been given to the NCTM Standards.

An ample number and variety of examples are solved on each tape segment by the lecturer. Each example solved is thoroughly explained step by step for the student. The examples on a single tape are graded in difficulty. Students are first exposed to examples that increase their confidence and problem-solving skills; then they are eased gradually through more difficult problems.

Algebra I consists of 89 video segments. Each segment is approximately 15 minutes in length. Topics include algebraic expressions, exponents, real numbers, solving equations and inequalities and applications, polynomials, factoring, rational expressions, graphing linear equations and inequalities in two variables, relations and functions, solving systems of linear equations, radicals, and solving quadratic equations.

Algebra I is made primarily for the junior high school or high school student. Objectives are clearly stated at the beginning of each segment. This series is extremely helpful to students enrolled in an algebra I mathematics course, students wanting to prepare before enrolling an algebra I course, students wanting a comprehensive review before enrolling in an algebra II course, or anyone wanting to review their basic algebra skills.

    A1 Introduction to Real Numbers and Variables
    Variables and Algebraic Expressions
    Order of Operations
    Set of Real Numbers
    Comparing Real Numbers

    A2 Operations with Real Numbers
    Adding Real Numbers on the Number Line
    Adding Real Numbers
    Subtracting Real Numbers
    Multiplying Real Numbers
    Dividing Real Numbers
    Properties of Real Numbers

    A3 Algebraic Expressions
    Evaluating Algebraic Expressions
    Combining Like Terms
    Simplifying Algebraic Expressions

    A4 Solving Equations
    Solution Sets
    Solving Equations Using Addition and Subtraction Properties
    Solving Equations Using Multiplication and Division Properties
    Solving Equations Requiring More than One Step
    Solving Equations with Variables on Both Sides
    Solving Percent Equations
    Solving Literal Equations
    Solving Absolute Value Equations

    A5 Problem Solving
    Problem Solving: Using Formulas to Solve Applications
    Problem Solving: From Words to Symbols
    Problem Solving: Geometry
    Problem Solving: Percent
    Problem Solving: Mixtures
    Problem Solving: Distance/Rate/Time

    A6 Solving Inequalities
    Graphing Inequalities
    Solving Inequalities Using Addition and Subtraction Properties
    Solving Inequalities Using Multiplication and Division Properties
    Solving Inequalities Requiring More than One Step
    Solving Combined Inequalities
    Solving Absolute Value Inequalities

    A7 Exponents
    Multiplying Monomials
    Powers of Monomials
    Dividing Monomials
    Negative Exponents
    Scientific Notation

    A8 Operations with Polynomials
    Adding and Subtracting Polynomials
    Multiplying Polynomials
    Multiplying Binomials
    Special Products
    Dividing Polynomials

    A9 Factoring Polynomials
    Factoring Integers
    The Greatest Common Factor
    Factoring by Grouping
    Factoring the Difference of Two Squares
    Factoring x2 + bx + c
    Factoring ax2 + bx + c
    Factoring Completely
    Solving Equations by Factor

    A10 Rational Expressions
    Simplifying Rational Expressions
    Multiplying Rational Expressions
    Dividing Rational Expressions
    Least Common Denominator
    Adding and Subtracting Rational Expressions with Like Denominators
    Adding and Subtracting Rational Expressions with Unlike Denominators
    Operations on Rational Expressions
    Complex Fractions
    Solving Equations with Rational Expressions

    A11 Graphing Linear Equations and Inequalities
    Graphing Ordered Pairs
    Graphing Linear Equations in Two Variables
    x- and y- Intercepts
    Graphing Linear Inequalities in Two Variables

    A12 Slope and Forms of Equations of Lines
    Slope-Intercept Form of a Linear Equation
    Point-Slope Form of a Linear Equation
    Using Two Points to write Equations of Lines

    A13 Systems of Linear Equations
    Graphing Systems of Linear Equations
    The Substitution Method
    The Addition Method
    Using Multiplication with the Additional Method

    A14 Roots and Radicals, Part I
    Square Roots
    Simplifying Square Roots
    Simplifying Square Roots Containing Variables
    Addition and Subtraction of Radicals
    Multiplication of Radicals

    A15 Roots and Radicals, Part II
    Division of Radicals
    Rationalizing the Denominator
    Solving Radical Equations
    The Pythagorean Theorem
    The Distance Formula

    A16 Solving Quadratic Equations
    Solving Quadratic Equations by the Square Root Property
    Solving Quadratic Equations by Completing the Square
    Solving Quadratic Equations by the Quadratic Formula

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