Grade 8 Mathematics

Contents

1. 1Subsets of the Real Number System8.NS.2
   1. 1.1 Counting Numbers, Whole Numbers, and Integers
   2. 1.2 Rational Numbers
   3. 1.3 Irrational Numbers
   4. 1.4 The Whole System: Nesting and Classifying

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2. 2Comparing and Ordering Real Numbers8.NS.1
   1. 2.1 Both Square Roots of a Number
   2. 2.2 Between Which Two Natural Numbers?
   3. 2.3 Rational Approximations to the Nearest Hundredth
   4. 2.4 Locating Real Numbers on a Number Line
   5. 2.5 Comparing and Ordering Five Real Numbers

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3. 3Percent Applications: Discounts, Markups, Tax, and Tip8.CE.1
   1. 3.1 Estimating and Finding a Percent of a Price
   2. 3.2 Discounts and Sale Prices
   3. 3.3 Markups and Selling Prices
   4. 3.4 Sales Tax and the Total
   5. 3.5 Tip and the Total
   6. 3.6 Percent Increase and Percent Decrease

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4. 4Equivalent Algebraic Expressions8.PFA.1
   1. 4.1 Representing Expressions with Tiles and Pictures
   2. 4.2 The Properties of Real Numbers
   3. 4.3 Combining Like Terms with Rational Coefficients
   4. 4.4 Expanding with the Distributive Property
   5. 4.5 Generating Equivalent Expressions

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5. 5Multistep Linear Equations8.PFA.4
   1. 5.1 Simplify Each Side First
   2. 5.2 Modeling Equations with the Variable on Both Sides
   3. 5.3 Expanding with the Distributive Property
   4. 5.4 Solving with the Variable on Both Sides
   5. 5.5 Writing Equations and Writing Situations
   6. 5.6 Problems in Context: Solving, Confirming, Interpreting

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6. 6Multistep Linear Inequalities8.PFA.5
   1. 6.1 What Carries Over from One- and Two-Step Inequalities
   2. 6.2 The Reversal Rule, Revisited and Deepened
   3. 6.3 Expanding and Combining Like Terms
   4. 6.4 The Variable on Both Sides
   5. 6.5 Representing Solutions Algebraically and Graphically
   6. 6.6 Inequalities in Context: Write, Solve, Interpret, Invent

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7. 7Relations, Functions, Domain, and Range8.PFA.2
   1. 7.1 Relations and Three Ways to Show Them
   2. 7.2 Deciding Whether a Relation Is a Function
   3. 7.3 Domain and Range
   4. 7.4 Putting It All Together

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8. 8Linear Functions and $y = mx + b$8.PFA.3
   1. 8.1 Adding a Constant: Translating $y = mx$
   2. 8.2 Key Characteristics of a Linear Function
   3. 8.3 Graphing a Linear Function from an Equation
   4. 8.4 Tables of Values for Linear Functions
   5. 8.5 Writing $y = mx + b$ from a Graph or a Table
   6. 8.6 Linear Functions in Context
   7. 8.7 Creating a Context for a Linear Function

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9. 9Angle Pair Relationships8.MG.1
   1. 9.1 Angles, Adjacent Angles, and Adding Measures
   2. 9.2 Complementary and Supplementary Angles
   3. 9.3 Vertical Angles
   4. 9.4 Solving for Unknown Angle Measures

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10. 10The Pythagorean Theorem8.MG.4
    1. 10.1 The Parts of a Right Triangle
    2. 10.2 Verifying the Pythagorean Theorem
    3. 10.3 Finding a Missing Side
    4. 10.4 The Converse: Is It a Right Triangle?
    5. 10.5 Applying the Theorem in Context

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11. 11Surface Area and Volume: Pyramids and Cones8.MG.2
    1. 11.1 Pyramids, Cones, and Two Different Heights
    2. 11.2 Surface Area of a Square-Based Pyramid
    3. 11.3 Why One Third? Cones and Cylinders, Pyramids and Prisms
    4. 11.4 Volume of Square-Based Pyramids and Cones
    5. 11.5 Problems in Context

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12. 12Area and Perimeter of Composite Figures8.MG.5
    1. 12.1 Subdividing a Figure and Adding the Pieces
    2. 12.2 Circles, Semicircles, and Pieces Removed
    3. 12.3 The Perimeter of a Composite Figure
    4. 12.4 Composite Figures in Context

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13. 13Translations in the Coordinate Plane8.MG.3 (a, d)
    1. 13.1 What a Translation Does
    2. 13.2 Coordinates of a Translated Polygon
    3. 13.3 Sketching a Translated Image

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14. 14Reflections and Composite Transformations8.MG.3 (b, c, e, f, g)
    1. 14.1 Reflecting over the x- and y-Axis
    2. 14.2 Sketching a Reflection
    3. 14.3 Composite Transformations and the Order of the Moves
    4. 14.4 Sketching Compositions and Describing Transformations in Context

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15. 15Probability of Independent and Dependent Events8.PS.1
    1. 15.1 Independent or Dependent: What Replacement Changes
    2. 15.2 The Probability of Two Independent Events
    3. 15.3 The Probability of Two Dependent Events
    4. 15.4 Comparing and Contrasting the Two Cases

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16. 16The Data Cycle and Boxplots8.PS.2
    1. 16.1 The Data Cycle, Pointed at Boxplots
    2. 16.2 Asking the Question, Getting the Data, and Statistical Bias
    3. 16.3 The Five-Number Summary
    4. 16.4 Building and Reading a Boxplot
    5. 16.5 Extreme Data Points
    6. 16.6 Comparing Boxplots, Choosing a Display, and Spotting a Misleading One

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17. 17The Data Cycle and Scatterplots8.PS.3
    1. 17.1 The Data Cycle with Two Variables
    2. 17.2 Asking a Bivariate Question and Collecting the Data
    3. 17.3 Building a Scatterplot
    4. 17.4 Positive, Negative, or No Relationship
    5. 17.5 Sketching the Line of Best Fit

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