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
Exponents
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
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
Relations
Functions
Graphing Linear Inequalities in Two Variables
A12 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
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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