Lesson
Previews
The following lessons were created as
supplements for use with Prentice Hall's California Edition
of "Algebra 1" by Smith,
Charles, Dossey, and Bittinger
shown below. This text is one of the few on California's state
list of approved textbooks for middle and high schools.
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Chapter 1: Introduction to Algebra
11: Symbols and Expressions ; 12: Commutative and Identity
Properties ; 13: Exponential Notation ; 14: Associative Properties ; 15:
Distributive Property ; 16: Writing
Expressions; 17: Solving Equations ; 18: Reasoning
Strategies: Drawing Diagrams; 19: Using Formulas ;
110: Reasoning Strategies: Try, Test,
Revise.
Chapter 2: Integers and Rational Numbers
21: Integers and
the Number Line ; 22: Rational Numbers ; 23: Addition of Rational
Numbers ; 24:
Subtraction of Rational Numbers ; 25:
Multiplication of Rational Numbers ; 26: Division of Rational
Numbers ; 27: Using the Distributive
Property ; 28: Inverse of a Sum ; 29: Writing Equations ; 210: Number Properties
and Proofs.
Chapter 3: Equations
31:
Addition Property of Equality ; 32:
Multiplication Property of Equality ; 33: Solving Multiple Step
Equations ; 34: Expressions and Equations ; 35: More on
Solving Equations; 36: Clearing
and Equation of Fractions or Decimals; 37: Formulas
; 38:
Solving Equations Involving Absolute Value ; 39: Proportions ; 310: Using
Percents
; 311:
More Expressions and Equations ; 312: Reasoning Strategies:
Make an Organized List.
Chapter 4: Inequalities
41: Inequalities
and Their Graphs ; 42: Addition Property
of Inequalities ; 43: Multiplication Property
of Inequalities ; 44: Solving Multiple Step
Inequalities ; 45: Using Inequalities ; 46: Reasoning
Strategies: Use Logical Reasoning.
Chapter 5: Exponents and Polynomials
51:
Exponents ; 52: More Rules of Exponents ; 53:
Multiplying and Dividing Monomials ; 54: Scientific Notation ; 55: Polynomials ; 56: More on Polynomials ; 57:
Addition of Polynomials; 58:
Subtraction of Polynomials ; 59: Multiplication of
Monomials and Binomials ; 510: Multiplying Binomials:
Special Products ; 511: Multiplying Polynomials ; 512:
Reasoning Strategies: Make a Table, Look for a Pattern.
Chapter 6: Polynomials and Factoring
61:
Factoring Polynomials ; 62: Difference of Two
Squares ; 63: Trinomial Squares ; 64: Factoring x 2 + bx + c ; 65: Factoring ax 2 + bx + c ; 66: Factoring by Grouping ; 67: Factoring: A General
Strategy ; 68: Solving Equations
by Factoring ; 69: Using Equations that
Factor
Chapter 7: Graphs and Linear Equations
71:
Graphing Ordered Pairs ; 72: Graphing Equations ; 73: Linear Equations and
Their Graphs ; 74 Slope ; 75: Equations and Slope ; 76: Finding the Equation
of a Line ; 77: Fitting Equations to
Data ; 78 Parallel and Perpendicular
Lines ; 79: Proofs ; 710: Reasoning
Strategies: Simplify the Problem.
Chapter 8: Systems of Equations
81:
Solving Systems of Equations by Graphing ; 82: Substitution ; 83: Elimination ; 84: Using Systems of Equations ; 85:
Rate, Time, and Distance Problems ; 86:
Digit and Coin Problems.
Chapter 9: Inequalities and Absolute Value
91:
Sets, Intersections and Unions ; 92:
Compound Sentences ; 93:
Equations and Absolute Value ; 94: Inequalities and Absolute
Value ; 95: Inequalities in Two
Variables ; 96: Graphing Systems of
Linear Inequalities.
Chapter 10: Rational Expressions and Equations
101:
Simplifying Rational Expressions ; 102: Multiplying Rational
Expressions ; 103:
Dividing Rational Expressions ; 104:
Adding and Subtracting Like Denominators ; 105: Adding and Subtracting
Unlike Denominators ; 106: Solving
Rational Equations ; 107:
Using Rational Equations ; 108:
Mixture Problems; 109: Dividing
Polynomials; 1010: Complex
Rational Expressions ; 1011: Proofs
; 1012 Reasoning Strategies: Work Backward.
Chapter 11: Radical Expressions and Equations
111:
Square Roots ; 112a: Roots of Variable
Expressions ; 112b: Square Root Method ;
113:
Simplifying Radical Expressions ; 114:
Multiplying Radical Expressions ; 115a: Radical Expressions
Involving Division ; 115b: Rational Exponents ; 116: Addition and Subtraction ; 117a:
Pythagorean Theorem ; 117b:
Distance Formula ; 118: Using the Pythagorean
Theorem ; 119:
Equations with Radicals.
Chapter 12: Relations and Functions
121:
Relations and Functions ; 122:
Functions and Graphs ; 123: Linear Functions ; 124:
Quadratic Functions ; 125:
Direct Variation ; 126: Inverse Variation ; 127: Joint and Combined
Variation.
Chapter 13: Quadratic Equations
131:
Quadratic Equations ; 132:
Solving Quadratic Equations ; 133: Completing the Square ; 134:
The Quadratic Formula ; 135:
Solving Rational Equations ; 136: Solving Radical
Equations ; 137: Using Quadratic
Equations.
