# Teaching Textbooks

## Grade Nine Content

Teaching Textbooks Algebra 1

**Chapter 3: Order of Operations**

Lesson 20—Order of Operations

Lesson 21—Equations Too

Lesson 22—Help from the Fraction Bar

Lesson 23—Undoing In Reverse Order

Lesson 24—Undoing with Division

Lesson 25—More than Two Operations

Lesson 26—Using the Associative Property

Lesson 27—More on the Associative Property

*Chapter 7: Rational Expressions*

Lesson 47—Reducing Fractions

Lesson 48—Factoring into Prime Numbers

Lesson 49—Reducing Rational Expressions

Lesson 50—Rational Expressions and Parentheses

Lesson 51—Distributing in Reverse (Part 1)

Lesson 52—Distributing in Reverse (Part 2)

Lesson 53—Multiplying Rational Expressions

Lesson 54—Dividing Rational Expressions

Lesson 55—Adding Rational Expressions

Lesson 56—Subtracting Rational Expressions

*Chapter 8: Solving Rational Equations*

Lesson 57—Rational Equations

Lesson 58—More than x in the Bottom

Lesson 59—Ratios and Proportions

Lesson 60—Clearing More than One Fraction

Lesson 61—When the Denominators are Different

Lesson 62—Finding the Lowest Common Denominator

Lesson 63—Rational Equations with Complicated Denominators

*Chapter 9: Powers and Exponents*

Lesson 64—Raising a Number to a Power

Lesson 65—Scientific Notation

Lesson 66—Order of Operations and Powers

Lesson 67—Combining Powers

Lesson 68—Multiplying Powers

Lesson 69—Advanced Distributing

Lesson 70—Dividing Powers

Lesson 71—More Scientific Notation

Lesson 72—Harder Rational Expressions

Lesson 73—Combining Harder Rational Expressions

*Chapter 12: Powers, Polynomials, and Radicals*

Lesson 87—Relations, Functions, and Equations

Lesson 88—Solving for the Other Variable

Lesson 89—Calculating Profits

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

*Chapter 13: More on Polynomials and Rational Expressions*

Lesson 94—Adding and Subtracting with Several Variables

Lesson 95—Multiplying with Several Variables

Lesson 96—Distributing with Several Variables

Lesson 97—Reducing Rational Expressions with Several Variables

Lesson 98—More Reducing with Several Variables

Lesson 99—Finding the Right Pair with Several Variables

Lesson 100—Difference of Two Squares

Lesson 101—Multiplying and Dividing Rational Expressions with Several Variables

Lesson 102—Adding and Subtracting Rational Expressions with Several Variables

Lesson 103—Equation-Solving Strategies

Lesson 104—Curved Mirrors and Headlights

*Chapter 15: Rate of Change and Slope*

Lesson 109—Change in y over Change in x

Lesson 110—Different Kinds of Slopes

Lesson 111—Horizontal and Vertical Lines

Lesson 112—Slope Intercept Form

Lesson 113—Point-Slope Form

**Chapter 16: Systems of Equations**

Lesson 114—Solving Systems

Lesson 115—Solving Systems by Subtraction

Lesson 116—More on the Addition and Subtraction Methods

Lesson 117—Solving Systems by Substitution

Lesson 118—Graphing Systems

Lesson 119—Inconsistent and Dependent Systems

**Chapter 14: Graphing Functions and Slope**

Lesson 105—Drawing a Picture

Lesson 106—Graphing Linear Equations

Lesson 107—Graphing Higher-Degree Equations

Lesson 108—Graphing Shortcuts

Lesson 118—Graphing Systems

**Chapter 4: Combining Like Terms**

Lesson 28—Combining x’s

Lesson 29—More on Rates

Lesson 30—Invisible Coefficients

Lesson 31—Getting Bigger/Getting Smaller

Lesson 32—Two Unknowns

Lesson 92—Equations with Several Variables

*Chapter 15: Rate of Change and Slope*

Lesson 109—Change in y over Change in x

Lesson 110—Different Kinds of Slopes

Lesson 111—Horizontal and Vertical Lines

Lesson 112—Slope Intercept Form

Lesson 113—Point-Slope Form

**Geometry Teaching Textbooks:**

*Chapter 2: Lines and Angles*

Lesson 6—Too Simple to Define

Lesson 7—Some Definitions and Postulates

Lesson 8—Line Segments

Lesson 9—Rays and Angles

Lesson 10—Measuring Angles

Lesson 11—Kinds of Angles

Lesson 12—Midpoints and Bisectors

Lesson 13—Properties of Equality

*Chapter 3: Angle Pairs & Perpendicular Lines*

Lesson 14—Formal (and Informal) Proofs

Lesson 15—Complementary Angle Pairs

Lesson 16—Supplementary Angle Pairs

Lesson 17—Adjacent Angles

Lesson 18—Vertical Angles

Lesson 19—Right Angles and Perpendicular Lines

Lesson 20—Drawing Perpendicular Lines through Points

Lesson 21—Measuring Distances

*Chapter 4: Parallel Lines*

Lesson 22—Lines That Never Meet

Lesson 23—Parallel Lines and Angles

Lesson 24—More on Parallel Lines

Lesson 25—Measuring the Earth

Lesson 26—Converse Statements

Lesson 27— Proving Lines are Parallel

*Chapter 5: Triangles*

Lesson 28—A Triangle and its Parts

Lesson 29—Kinds of Triangles

Lesson 30—Adding Up the Angles

Lesson 31—Exterior Angles

Lesson 32—Congruent Triangles

Lesson 33—Side-Angle-Side

Lesson 34—Angle-Side-Angle and Angle-Angle-Side

Lesson 35—Hypotenuse-Leg

Lesson 36—Side-Side-Side

Lesson 37—Overlapping Triangles

*Chapter 6: Using Congruent Triangles*

Lesson 38—Proving Corresponding Parts are Congruent

Lesson 39—Proving Bisectors

Lesson 40—Proving Lines Parallel or Perpendicular

Lesson 41—Altitudes and Medians of Triangles

Lesson 42—Base Angles of an Isosceles Triangle

Lesson 43—Proving That a Triangle is Isosceles

*Chapter 19: Statistics and Probability*

Lesson 136—Statistics

Lesson 137—Measures of Dispersion

Lesson 138—More Measures of Dispersion

Lesson 139—Probability

Lesson 140—Probability Shortcuts

Lesson 8—Banking and Business

Lesson 89—Calculating Profits

## Curricular Competencies

### Reasoning/Analyzing

Supplementation required – suggestions coming soon

Lesson 9—Moon Vacation

Lesson 10—Extending the Concept of Speed

Lesson 86—Building a Pool Deck

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

*Chapter 20: Additional Topics*

Lesson 141—The Quadratic Formula

Lesson 142—Using a Graphing Calculator

*May require the further support of a teacher*

Supplementation required – suggestions coming soon

### Understanding/Solving

Lesson 8—Banking and Business

Lesson 9—Moon Vacation

Lesson 10—Extending the Concept of Speed

Lesson 86—Building a Pool Deck

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

Lesson 86—Building a Pool Deck

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

*May require the further support of a teacher*

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

### Communicating/Representing

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

*May require the *further* support of a teacher*

Supplementation required – suggestions coming soon

Supplementation required – Requires support of teacher but discussions can be generated through problem-solving. More suggestions coming soon

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe

### Connecting/Reflecting

Lesson 86—Building a Pool Deck

Lesson 90—Galileo Analyzes Motion

Lesson 91—Kepler Tracks the Planets

Lesson 92—Equations with Several Variables

Lesson 93—Newton’s Equation of the Universe