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 Algebra 1 DVD Series16 DVDs(No individual DVD purchase available for this series.) |
This Algebra 1 DVD tutor series 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 tape 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 iinclude 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.
DVD 1-Introduction to Real Numbers & Variables.
- Variables and Algebraic Expressions
- Order of Operations
- Set of Real Numbers
- Comparing Real Numbers
- Exponents
DVD 2-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
DVD 3-Algebraic Expressions
- Evaluating Algebraic Expressions
- Combining Like Terms
- Simplifying Algebraic Expressions
DVD 4-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
DVD 5-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
DVD 6-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
DVD 7-Exponents
- Multiplying Monomials
- Powers of Monomials
- Dividing Monomials
- Negative Exponents
- Scientific Notation
DVD 8-Operations With Polynomials
- Polynomials
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Multiplying Binomials
- Special Products
- Dividing Polynomials
DVD 9-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 Factoring
DVD 10-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
DVD 11-Graphing Linear Equations & Inequalities
- Graphing Ordered Pairs
- Graphing Linear Equations in Two Variables
- x- and y- Intercepts
- Relations
- Functions
- Graphing Linear Inequalities in Two Variables
DVD 12-Slope and Forms of Equations of Lines
- Slope
- Slope-Intercept Form of a Linear Equation
- Point-Slope Form of a Linear Equation
- Using Two Points to write Equations of Lines
DVD 13-Systems of Linear Equations
- Graphing Systems of Linear Equations
- The Substitution Method
- The Addition Method
- Using Multiplication with the Additional Method
DVD 14-Roots & Radicals, Part I
- Square Roots
- Simplifying Square Roots
- Simplifying Square Roots Containing Variables
- Addition and Subtraction of Radicals
- Multiplication of Radicals
DVD 15-Roots & Radicals, Part II
- Division of Radicals
- Rationalizing the Denominator
- Solving Radical Equations
- The Pythagorean Theorem
- The Distance Formula
DVD 16-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