Grade 7 Mathematics

Contents

1. 1Powers of Ten and Scientific Notation7.NS.1
   1. 1.1 Powers of 10 with Negative Exponents
   2. 1.2 Fraction Form and Decimal Form
   3. 1.3 Scientific Notation and Decimal Form
   4. 1.4 Comparing and Ordering Numbers in Scientific Notation

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2. 2Comparing and Ordering Rational Numbers7.NS.2
   1. 2.1 What Makes a Number Rational
   2. 2.2 Comparing with Benchmarks and Equivalency
   3. 2.3 Comparing on a Number Line with $<$, $>$, and $=$
   4. 2.4 Ordering a Set of Rational Numbers

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3. 3Square Roots and Perfect Squares7.NS.3
   1. 3.1 Perfect Squares from 0 to 400
   2. 3.2 The Positive Square Root
   3. 3.3 How Square Roots and Perfect Squares Undo Each Other

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4. 4Operations with Rational Numbers in Context7.CE.1
   1. 4.1 Adding and Subtracting Rational Numbers
   2. 4.2 Multiplying and Dividing Rational Numbers
   3. 4.3 Estimating to Judge Whether an Answer Is Reasonable
   4. 4.4 Multistep Problems in Context
   5. 4.5 Justifying a Solution

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5. 5Ratio Tables and Proportions7.CE.2 (a–c)
   1. 5.1 Ratio Tables and Missing Values
   2. 5.2 Writing a Proportion
   3. 5.3 Solving a Proportion
   4. 5.4 Converting Units with a Given Conversion Factor
   5. 5.5 Proportional Reasoning in Context

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6. 6Percent of a Number7.CE.2 (d)
   1. 6.1 Benchmark Percentages
   2. 6.2 Estimating a Percent of a Number
   3. 6.3 Finding an Exact Percent of a Number
   4. 6.4 Percent in Context

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7. 7Proportional Relationships: Tables, Graphs, and $y = mx$7.PFA.1
   1. 7.1 Rate of Change as Slope
   2. 7.2 Finding Slope from a Table
   3. 7.3 Writing $y = mx$ from a Table, Graph, or Situation
   4. 7.4 Positive, Negative, and Zero Slope
   5. 7.5 Graphing a Proportional Relationship
   6. 7.6 Connecting All Four Representations

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8. 8Simplifying Numerical Expressions7.PFA.2 (a)
   1. 8.1 The Order of Operations
   2. 8.2 Exponents and Perfect-Square Roots Inside Expressions
   3. 8.3 Brackets and Absolute Value Bars
   4. 8.4 Properties of Real Numbers as Shortcuts

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9. 9Equivalent Algebraic Expressions7.PFA.2 (b–d)
   1. 9.1 Modeling Expressions with Algebra Tiles and Chips
   2. 9.2 Like Terms and What Makes Them Alike
   3. 9.3 Combining Like Terms
   4. 9.4 The Distributive Property with Variables
   5. 9.5 Evaluating Expressions for Given Values

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10. 10Two-Step Linear Equations7.PFA.3
    1. 10.1 What It Means to Solve an Equation
    2. 10.2 Modeling Two-Step Equations with Tiles and a Balance
    3. 10.3 Solving Two-Step Equations
    4. 10.4 Writing an Equation for a Situation
    5. 10.5 Solving Problems in Context

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11. 11One- and Two-Step Inequalities7.PFA.4
    1. 11.1 What an Inequality Says
    2. 11.2 Solving One-Step Inequalities
    3. 11.3 The Reversal Rule: Multiplying or Dividing by a Negative
    4. 11.4 Solving Two-Step Inequalities
    5. 11.5 Graphing Solution Sets on a Number Line
    6. 11.6 Writing and Solving Inequalities in Context

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12. 12Volume and Surface Area: Prisms and Cylinders7.MG.1
    1. 12.1 Volume of a Right Cylinder
    2. 12.2 Surface Area of a Rectangular Prism (and Nets)
    3. 12.3 Surface Area of a Right Cylinder
    4. 12.4 Volume or Surface Area? Deciding from the Problem
    5. 12.5 How Changing One Dimension Changes the Volume
    6. 12.6 How Changing One Dimension Changes the Surface Area

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13. 13Similar Figures and Scale Drawings7.MG.2
    1. 13.1 What Similarity Means
    2. 13.2 Corresponding Angles and Sides
    3. 13.3 Writing Similarity Statements
    4. 13.4 Proportions from Corresponding Sides
    5. 13.5 Finding a Missing Side Length
    6. 13.6 Scale Drawings

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14. 14Quadrilaterals and Their Properties7.MG.3
    1. 14.1 The Five Named Quadrilaterals and Their Properties
    2. 14.2 Sorting and Classifying Quadrilaterals
    3. 14.3 Finding Unknown Angle Measures
    4. 14.4 Finding Unknown Side Lengths

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15. 15Dilations in the Coordinate Plane7.MG.4
    1. 15.1 What a Dilation Does
    2. 15.2 Coordinates of a Dilated Polygon
    3. 15.3 Sketching a Dilation
    4. 15.4 Dilations in the World

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16. 16Probability: Theoretical and Experimental7.PS.1
    1. 16.1 Theoretical Probability
    2. 16.2 Experimental Probability
    3. 16.3 What Happens as the Number of Trials Grows
    4. 16.4 Comparing Theoretical and Experimental Probability

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17. 17The Data Cycle and Histograms7.PS.2
    1. 17.1 The Data Cycle
    2. 17.2 Asking a Question and Collecting Data
    3. 17.3 Samples, Sample Size, and Randomness
    4. 17.4 Building a Histogram
    5. 17.5 Choosing Intervals and Comparing Representations

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