Summit - An Interactive Algebra Journey/Summit, An Interactive Algebra Journey.iso/SUMMIT/CONTENTS.DAT

Text File | 1997-02-13 | 9KB | 283 lines

@The Real Number System
#Fractions
$Visualizing Fractions
$Learning the Definition of a Factor
$Multiplying and Dividing Fractions
$Writing Fractions in Lowest Terms
$Adding and Subtracting Fractions
$Discussion Questions
#Exponents, Order of Operations, and Inequality
$Using Exponents
$Using the Order of Operations
$Equality, Less Than, Greater Than, and Other Relations
$Discussion Questions
#Variables, Expressions, and Equations
$Using Variables
$Solving Equations
$Distinguishing Expressions and Equations
$Discussion Questions
#Real Numbers and the Number Line
$The Number Line and the Integers
$Rational Numbers and Real Numbers
$Comparing Real Numbers
$Opposites
$Absolute Values
$Discussion Questions
#Addition and Subtraction of Real Numbers
$Adding Numbers on the Number Line
$Using the Order of Operations with Real Numbers
$Subtraction
$Discussion Questions
#Multiplication and Division of Real Numbers
$Multiplying Positive and Negative Numbers
$Evaluating Multiplicative Expressions
$Division
$Operations with Signed Numbers
$Discussion Questions
#Properties of Addition and Multiplication
$The Commutative Properties
$The Associative Properties
$The Identity Properties
$Inverses
$The Distributive Property
$Discussion Questions
#Geometry Review and Formulas
$Angles
$Triangles
$Perimeters
$Areas
$Discussion Questions
@Solving Equations and Inequalities
#Simplifying Expressions
$Simplifying Expressions
$Identifying Terms and Numerical Coefficients
$Identifying Like Terms
$Combining Like Terms
$Structure of Expressions
$Discussion Questions
#Addition and Multiplication Properties of Equality
$Identifying Linear Equations
$Inverse Operations
$Using the Addition Property of Equality
$Using the Multiplication Property of Equality
$Discussion Questions
#More on Solving Linear Equations
$The Four Steps for Solving a Linear Equation
$Solving Equations with Fractional Coefficients
$Solving Equations with Decimal Coefficients
$Recognizing Equations with No or Many Solutions
$Discussion Questions
#Problem Solving
$The Steps in Solving an Applied Problem
$Finding the Value of an Unknown Number
$The Number of Men and Women at a Concert
$The Number of Orders for Caffe Lattes
$Dividing a Board into Pieces
$Analyzing a Gasoline-Oil Mixture
$Finding the Measure of an Angle
$Discussion Questions
#Ratios and Proportions
$Writing Ratios
$Proportions
$Solving Proportions
$Discussion Questions
#Addition and Multiplication Properties of Inequality
$Graphing Intervals on the Number Line
$The Addition Property of Inequality
$The Multiplication Property of Inequality
$Solving Linear Inequalities
$Discussion Questions
@Polynomials and Exponents
#Polynomials
$Identifying Terms and Coefficients
$Adding Like Terms
$Evaluating Polynomials
$Adding Polynomials
$Subtracting Polynomials
$Discussion Questions
#Exponents
$Using Exponents
$The Product Rule for Exponents
$The Power Rule for Exponents (1st Form)
$The Power Rule for Exponents (2nd Form)
$The Power Rule for Exponents (3rd Form)
$Discussion Questions
#Multiplication of Polynomials
$Multiplying a Monomial by a Polynomial
$Multiplying Two Polynomials
$The FOIL Method
$Discussion Questions
#Special Products
$Squaring Binomials
$The Difference of Squares
$Higher Powers of Binomials
$Discussion Questions
#The Quotient Rule and Integer Exponents
$The Quotient Rule of Exponents
$Zero Exponents
$Negative Exponents
$Using the Rules of Exponentiation
$Discussion Questions
#Dividing Polynomials
$Division by a Monomial
$Division by a Polynomial
$Discussion Questions
@Factoring
#The Greatest Common Factor
$Finding the Greatest Common Factor
$Factoring out the Greatest Common Factor
$Factoring by Grouping
$Discussion Questions
#Factoring Trinomials
$Trinomials with a Leading Coefficient of 1
$Trinomials with a Greatest Common Factor
$Discussion Questions
#More on Factoring Trinomials
$Factoring by Grouping
$Factoring by Trial and Error
$Factoring out a Greatest Common Factor
$Discussion Questions
#Special Factorizations
$The Difference of Squares
$Perfect Squares
$Sum and Difference of Cubes
$Discussion Questions
#Solving Quadratic Equations by Factoring
$Quadratic Equations
$Other Equations
$Discussion Questions
@Rational Expressions
#What is a Rational Expression?
$Rational Expressions and their Numerical Values
$Values That Make a Rational Expression Undefined
$Writing Rational Expressions in Lowest Terms
$Discussion Questions
#Multiplication and Division of Rational Expressions
$Multiplication of Rational Expressions
$Division of Rational Expressions
$Discussion Questions
#The Least Common Denominator
$Finding Least Common Denominators
$Converting to a Common Denominator
$Discussion Questions
#Addition and Subtraction of Rational Expressions
$Addition of Rational Expressions
$Subtraction of Rational Expressions
$Discussion Questions
#Complex Fractions
$Complex Fractions as Quotients
$Three Steps for Simplifying Complex Fractions
$Discussion Questions
#Equations Involving Rational Expressions
$Expressions and Equations
$Solving Equations with Rational Expressions
$Discussion Questions
@Graphing Linear Equations
#Linear Equations in Two Variables
$Writing a Solution as an Ordered Pair
$Deciding if an Ordered Pair Satisfies an Equation
$Getting your own Solutions and Making a Table
$Plotting Ordered Pairs on a Coordinate System
$Discussion Questions
#Graphing Linear Equations in Two Variables
$Graphing Equations with Ordered Pairs
$Finding Intercepts
$Graphing Linear Equations Ax + By = 0
$Graphing Linear Equations y = k or x = k
$Discussion Questions
#The Slope of a Line
$Finding the Slope of a Line
$Finding the Slope from the Equation of a Line
$Parallel and Perpendicular Lines
$Discussion Questions
#Equations of a Line
$Writing a Linear Equation from the Slope and Intercept
$Graphing a Line from the Slope and Intercept
$Writing a Linear Equation from the Slope and Any Point
$Writing a Linear Equation from Two Points
$Discussion Questions
#Graphing Linear Inequalities in Two Variables
$Graphing Non-Strict Linear Inequalities
$Graphing Strict Linear Inequalities
$Discussion Questions
#Functions
$Definition of a Function
$Distinguishing Functions from Non-Functions
$Using f(x) Notation
$Guessing the Formula of a Linear Function
$Discussion Questions
@Linear Systems
#Solving Systems of Linear Equations by Graphing
$Solving Linear Systems by Graphing
$Inconsistent and Dependent Systems
$Identifying the Type of System without Graphing
$Discussion Questions
#Solving Systems of Linear Equations by Elimination
$Solving with Back Substitution
$Solving by Eliminating Each Variable in Turn
$Inconsistent, Consistent, and Dependent Systems
$Discussion Questions
#Solving Systems of Linear Equations by Substitution
$Solving a System by Substitution
$Solving Systems with Fractional Coefficients
$Discussion Questions
#Solving Systems of Linear Inequalities
$Solve Systems by Graphing
$Discussion Questions
@Roots and Radicals
#Finding Roots
$Finding Square Roots
$Rational and Irrational Square Roots
$Approximating Irrational Square Roots
$Using the Pythagorean Formula
$Finding Higher Roots
$Discussion Questions
#Multiplication and Division of Radicals
$Multiplying Radicals
$Using the Product Rule to Simplify Square Roots
$The Quotient Rule for Radicals
$Product and Quotient Rules for Higher Roots
$Discussion Questions
#Addition and Subtraction of Radicals
$Adding and Subtracting Radicals
$Simplifying by Adding and Subtracting Radicals
$Discussion Questions
#Rationalizing the Denominator
$Rationalizing Denominators with Square Roots
$Writing Radicals in Simplified Form
$Rationalizing Denominators with Higher Roots
$Discussion Questions
#Simplifying Radical Expressions
$Radical Expressions with Addition
$Radical Expressions with Addition and Multiplication
$Using Conjugates
$Reducing a Square Root Quotient
$Discussion Questions
#Equations with Radicals
$Solving Equations with Square Roots
$Equations with No Solutions
$Equations in which a Binomial gets Squared
$General Steps for Solving
$Discussion Questions
#Fractional Exponents
$Defining the One-nth Power
$Defining the m-nths Power
$The Properties of Fractional Exponents
$Discussion Questions
@Quadratic Equations
#Solving Quadratic Eqns by the Square Root Property
$When x Squared Equals a Number
$When [ax+b] Squared Equals a Number
$Discussion Questions
#Solving Quadratic Eqns by Completing the Square
$When the Leading Coefficient is 1
$When the Leading Coefficient is not 1
$Simplifying before Completing the Square
$Discussion Questions
#Solving Quadratic Eqns with the Quadratic Formula
$Recognizing the Standard Form of a Quadratic Eqn
$Using the Quadratic Formula
$Eqns with Only One Solution or No Real Solutions
$The Quadratic Formula with Fractional Coefficients
$Applied Problems
$Discussion Questions