Grade 6 Mathematics
Aligned to the 2023 Virginia Mathematics Standards of Learning
- 17 chapters
- 80 lessons
- 15 of 15 standards
Contents
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1Integers and the Number Line6.NS.2
- 1.1 Representing Integers
- 1.2 Comparing and Ordering Integers on a Number Line
- 1.3 Comparing Integers with Symbols
- 1.4 Absolute Value
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2Adding and Subtracting Integers6.CE.2
- 2.1 Modeling Integer Addition
- 2.2 Adding Integers
- 2.3 Subtraction as Adding the Opposite
- 2.4 Adding and Subtracting in Context
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3Multiplying and Dividing Integers; Absolute Value Expressions6.CE.2
- 3.1 Modeling Integer Multiplication and Division
- 3.2 Multiplying and Dividing Integers
- 3.3 Simplifying Expressions with Absolute Value Bars
- 3.4 One- and Two-Step Problems in Context
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4Fractions, Decimals, and Percents6.NS.1
- 4.1 Percent as Parts per Hundred
- 4.2 Decimals and Percents
- 4.3 Fractions and Percents
- 4.4 Converting Among All Three Forms
- 4.5 Comparing and Ordering Rational Numbers
- 4.6 Percents Greater Than 100% and Less Than 1%
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5Multiplying and Dividing Fractions6.CE.1 (a, b, c)
- 5.1 Modeling Fraction Multiplication
- 5.2 Multiplying Fractions and Mixed Numbers
- 5.3 Modeling Fraction Division
- 5.4 Dividing Fractions and Mixed Numbers
- 5.5 What Happens When You Multiply or Divide by a Number Between 0 and 1
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6Problem Solving with Fractions6.CE.1
- 6.1 Estimating with Fractions
- 6.2 Addition and Subtraction Problems in Context
- 6.3 Multiplication and Division Problems in Context
- 6.4 Multistep Problems and Justifying Your Answer
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7Exponents, Perfect Squares, and Powers of Ten6.NS.3
- 7.1 Exponents and Repeated Multiplication
- 7.2 Patterns with Bases and Exponents
- 7.3 Perfect Squares
- 7.4 Powers of Ten and Place Value
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8Ratios6.PFA.1
- 8.1 What a Ratio Is
- 8.2 Three Ways to Write a Ratio
- 8.3 Part-to-Part, Part-to-Whole, Whole-to-Whole
- 8.4 Equivalent Ratios and Ratio Tables
- 8.5 Writing a Situation for a Ratio
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9Proportional Relationships and Unit Rate6.PFA.2
- 9.1 Unit Rate
- 9.2 Finding Missing Values in a Ratio Table
- 9.3 Deciding Whether a Relationship Is Proportional
- 9.4 Graphing Proportional Relationships
- 9.5 Connecting Tables, Graphs, and Verbal Descriptions
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10The Coordinate Plane6.MG.3
- 10.1 Parts of the Coordinate Plane
- 10.2 Graphing and Naming Ordered Pairs
- 10.3 Quadrants and the Axes
- 10.4 Distance Between Points on a Horizontal or Vertical Line
- 10.5 Polygons in the Coordinate Plane
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11Writing and Solving One-Step Equations6.PFA.3
- 11.1 The Language of Algebra
- 11.2 Modeling Equations with Balance Scales and Algebra Tiles
- 11.3 Solving One-Step Equations with Addition and Subtraction
- 11.4 Solving One-Step Equations with Multiplication and Division
- 11.5 Writing an Equation from a Situation
- 11.6 Writing a Situation from an Equation
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12Inequalities in One Variable6.PFA.4
- 12.1 What an Inequality Says
- 12.2 The Four Inequality Symbols
- 12.3 Graphing Inequalities on a Number Line
- 12.4 Writing an Inequality Two Equivalent Ways
- 12.5 Testing Values and Describing Solution Sets
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13Area and Perimeter: Triangles and Parallelograms6.MG.2
- 13.1 Perimeter of Triangles and Parallelograms
- 13.2 Developing the Area Formula for Parallelograms
- 13.3 Developing the Area Formula for Triangles
- 13.4 Area and Perimeter Problems in Context
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14Circles: Circumference and Area6.MG.1
- 14.1 Parts of a Circle
- 14.2 Discovering Pi
- 14.3 Circumference
- 14.4 Area of a Circle
- 14.5 Circle Problems in Context
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15Congruence and Regular Polygons6.MG.4
- 15.1 Congruent Segments and Angles
- 15.2 Regular Polygons
- 15.3 Lines of Symmetry
- 15.4 Congruent and Noncongruent Polygons
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16The Data Cycle and Circle Graphs6.PS.1
- 16.1 The Data Cycle
- 16.2 Formulating Good Questions
- 16.3 Collecting Data and Representative Samples
- 16.4 Making a Circle Graph
- 16.5 Analyzing Circle Graphs
- 16.6 Choosing the Best Representation
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17Mean as a Balance Point; Outliers6.PS.2
- 17.1 Mean as a Balance Point
- 17.2 Measures of Center and Range
- 17.3 What Happens When Data Changes
- 17.4 Outliers and Their Effect
About this volume
Every chapter maps to specific Virginia SOL codes and closes with a coverage table showing where each Knowledge and Skill is taught and practiced. Standards marked by VDOE as assessed without a calculator are flagged in the chapters that cover them.
Standards text is drawn from the 2023 Mathematics Standards of Learning approved by the Virginia Board of Education on August 31, 2023. This book is an independent open resource and is not published or endorsed by the Virginia Department of Education.