# Teaching Textbooks

Teaching Textbooks Pre-Algebra

#### perfect squares and cubes

Chapter 6: Measuring Area and Volume

Lesson 40—Little Squares

Lesson 41—Area Unit Conversions

Lesson 42—Area in the Metric System

Lesson 43—Little Cubes

#### square and cube roots

Chapter 12: Powers, Polynomials, and Radicals

Lesson 99—Taking a Root

Lesson 100—Undoing Powers and Roots

Chapter 13: Geometry

Lesson 108—Pythagorean Theorem

#### percents less than 1 and greater than 100 (decimal and fractional percents)

Chapter 3: Decimals

Lesson 15—Ill-Fitting Fractions

Lesson 16—Hundredths, Thousandths …

Lesson 18—Filling the Holes

Lesson 19—Money and Decimals

Lesson 20—Multiplying Decimals

Lesson 21—Dividing Decimals

Lesson 22—Decimal Remainders

Lesson 23—Converting Fractions to Decimals

Lesson 24—Never-Ending Decimals

Chapter 4: Percents:

Lesson 25—Percents

Lesson 26—Calculating Percents

Lesson 27—Percent of Any Number

Lesson 28—Fractional Percents

Lesson 29—Percents and Banking

Lesson 30—Finding the Percent

#### numerical proportional reasoning (rates, ratio, proportions, and percent)

Chapter 5: Measuring Length

Lesson 32—Units of Measurement

Lesson 33—Unit Conversions

Lesson 34—Skipping Around

Lesson 35—Making a Table

Lesson 36—The Metric System

Lesson 37—It’s All in a Name

Lesson 38—Converting in Metric

Lesson 39—Converting Between Common and Metric

• May require the support of a teacher to find two/three term ratio, real-life math problems

Supplementation Required

#### operations with fractions (addition, subtraction, multiplication, division, and order of operations)

Chapter 2: Rational Numbers

Lesson 6—Fractions

Lesson 7—Equivalent Fractions

Lesson 8—Factoring and Canceling

Lesson 9—Prime Numbers

Lesson 11—Finding the Lowest Common Denominator

Lesson 12—Mixed Numbers

Lesson 13—Multiplying and Dividing Fractions

Lesson 14—Fractions and Whole Numbers

Chapter 11: Rational Expressions

Lesson 83—Reducing Fractions with x’s

Lesson 84—Canceling x’s

Lesson 85—Fractions and Parentheses—Part 1

Lesson 86—Fractions and Parentheses—Part 2

Lesson 87—Multiplying Fractions with x’s

Lesson 88—Dividing Fractions with x’s

Lesson 90—Subtracting Fractions with x’s

Lesson 65—Negatives and Fractions

Lesson 67—Dealing with –x in a Fraction

Lesson 70—Order and the Fraction Bar

Lesson 71—Using the Fraction Bar in Equations

#### discrete linear relations (extended to larger numbers, limited to integers)

Supplementation Required

#### expressions- writing and evaluating using substitution

Chapter 7: Simple Algebraic Equations

Lesson 48—What’s it for Anyway?

Lesson 49—The Golden Rule of Algebra

Lesson 50—Undoing Multiplication and Division

Lesson 51—Changing Places

Lesson 52—New Symbols

Lesson 53—Undoing the Algebra Way

Lesson 54—Solving Percent Problems with Algebra

Lesson 55—Solving Distance Problems with Algebra

Chapter 12: Powers, Polynomials, and Radicals

Lesson 91—Raising a Number to a Power

Lesson 92—Scientific Notation

Lesson 93—Order and Power

Lesson 95—Multiplying Powers

Lesson 96—Multiplying Powers: Tougher Cases

Lesson 97—Dividing Powers

Lesson 98—Fractions with Powers

Lesson 101—An Exponent of 1

Lesson 102—An Exponent of 0

#### two-step equations with integer coefficients, constants, and solutions

Chapter 8: Integers

Lesson 56—Less Than Zero

Lesson 57—The Number Line

Lesson 58—How Negatives are Used

Lesson 60—Subtraction with Negatives

Lesson 61—Multiplication with Negatives

Lesson 62—Division with Negatives

Lesson 63—Undoing Equations with Negatives—Part 1

Lesson 64—Undoing Equations with Negatives—Part 2

Lesson 65—Negatives and Fractions

Lesson 66—Handling a –x

Lesson 67—Dealing with –x in a Fraction

Chapter 9: Longer Algebraic Equations

Lesson 68—Order Matters

Lesson 69—Writing Equations in Order

Lesson 70—Order and the Fraction Bar

Lesson 71—Using the Fraction Bar in Equations

Lesson 72—Undoing in Reverse—Part 1

Lesson 73—Undoing in Reverse—Part 2

Lesson 74—Simplifying First

Lesson 75—More Simplifying First

Chapter 10: Combining Like Terms

Lesson 77—Subtracting x’s

Lesson 78—x and 1x

Lesson 79—Work Problems

Lesson 80—Fancy Distance Problems

Lesson 81—x’s on Both Sides

Lesson 82—Refrigerator Repairs

#### surface area and volume of regular solids, including triangular and other right prisms and cylinders

Chapter 13: Geometry

Lesson 103—Points, Lines, and Planes

Lesson 104—Angles

Lesson 105—Pairs of Angles

Lesson 106—Line and Angle Relationships

Lesson 107—Triangles

Lesson 110—Polygons

Chapter 14: More on Geometry

Lesson 111—Congruent Figures

Lesson 112—Similar Figures

Lesson 113—Perimeter, Symmetry, and Reflections

Lesson 114—Area Calculations

Lesson 115—Circles

Lesson 116—Solids

Lesson 117—More on Volume and Surface Area

#### Pythagorean theorem

Chapter 13: Geometry

Lesson 108—Pythagorean Theorem

#### construction, views, and nets of 3D objects

Chapter 6: Measuring Area and Volume

Lesson 40—Little Squares

Lesson 41—Area Unit Conversions

Lesson 42—Area in the Metric System

Lesson 43—Little Cubes

Lesson 44—Volume Unit Conversions

Lesson 45—Liquid Measures of Volume

Lesson 46—Volume in the Metric System

Chapter 14: More on Geometry

Lesson 111—Congruent Figures

Lesson 112—Similar Figures

Lesson 113—Perimeter, Symmetry, and Reflections

Lesson 114—Area Calculations

Lesson 115—Circles

Lesson 116—Solids

Lesson 117—More on Volume and Surface Area

#### central tendency

Chapter 16: Statistics, Probability, and Inequalities

Lesson 127—Measures of Central Tendency

Lesson 128—Range and Stem-and-Leaf Plots

Lesson 129—Histograms and Scatter Plots

Lesson 130—Probability

Lesson 131—Tree Diagrams

Lesson 132—Fundamental Counting Principle

Lesson 133—Inequalities

Lesson 134—Undoing Inequalities

Lesson 135—Undoing Inequalities in Reverse Order

#### theoretical probability with two independent events

Chapter 16: Statistics, Probability, and Inequalities

Lesson 127—Measures of Central Tendency

Lesson 128—Range and Stem-and-Leaf Plots

Lesson 129—Histograms and Scatter Plots

Lesson 130—Probability

Lesson 131—Tree Diagrams

Lesson 132—Fundamental Counting Principle

Lesson 133—Inequalities

Lesson 134—Undoing Inequalities

Lesson 135—Undoing Inequalities in Reverse Order

#### financial literacy — best buys

Supplementation Required

## Curricular Competencies

### Reasoning/Analyzing

#### Use logic and patterns to solve puzzles and play games

Supplementation Required

#### Use reasoning and logic to explore, analyze, and apply mathematical ideas

Supplementation Required

#### Estimate reasonably

Supplementation Required

#### Demonstrate and apply mental math strategies

Supplementation Required

#### Use tools or technology to explore and create patterns and relationships, and test conjectures

Supplementation Required

#### Model mathematics in contextualized experiences

Supplementation Required

### Understanding/Solving

#### Apply multiple strategies to solve problems in both abstract and contextualized situations

Supplementation Required

#### Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Supplementation Required

#### Visualize to explore mathematical concepts

Supplementation Required

#### Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Supplementation Required

### Communicating/Representing

#### Use mathematical vocabulary and language to contribute to mathematical discussions

Supplementation Required

#### Explain and justify mathematical ideas and decisions

Supplementation Required

#### Communicate mathematical thinking in many ways

Supplementation Required

#### Represent mathematical ideas in concrete, pictorial, and symbolic forms

Chapter 5: Measuring Length

Lesson 32—Units of Measurement

Lesson 33—Unit Conversions

Lesson 34—Skipping Around

Lesson 35—Making a Tablediscrete

Lesson 36—The Metric System

Lesson 37—It’s All in a Name

Lesson 38—Converting in Metric

Lesson 39—Converting Between Common and Metric

### Connecting/Reflecting

#### Reflect on mathematical thinking

Supplementation Required

#### Connect mathematical concepts to each other and to other areas and personal interests

Chapter 15: Relations, Functions, and Graphing

Lesson 118—Relations and Functions

Lesson 119—More on Functions

Lesson 120—Functional Notation

Lesson 121—The Coordinate Plane

Lesson 122—Graphing Equations

Lesson 123—More on Graphing

Lesson 124—The Slope of a Line

Lesson 125—Slope-Intercept Form

Lesson 126—Horizontal and Vertical Lines