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Math Worksheets
The Open Up Resources math curriculum, authored by Illustrative Mathematics, is a free math curriculum for Grades 68. Math resources, questions, and answers for this curriculum are listed below. Click on the buttons to see a list of lessons in each unit and links to questions, answers, and explanatory videos for each lesson.
Grade 6

Unit 6.1: Area and Surface Area

Unit 6.2: Introducing Ratios
What Are Ratios?
 Lesson 1: Introducing Ratios and Ratio Language
 Lesson 2: Representing Ratios with Diagrams
Equivalent Ratios
 Lesson 3: Recipes
 Lesson 4: Color Mixtures
 Lesson 5: Defining Equivalent Ratios
Representing Equivalent Ratios
 Lesson 6: Introducing Double Number Line Diagrams
 Lesson 7: Creating Double Number Line Diagrams
 Lesson 8: How Much for One?
 Lesson 9: Constant Speed
 Lesson 10: Comparing Situations by Examining Ratios
Solving Ratio and Rate Problems
 Lesson 11: Representing Ratios with Tables
 Lesson 12: Navigating a Table of Equivalent Ratios
 Lesson 13: Tables and Double Number Line Diagrams
 Lesson 14: Solving Equivalent Ratio Problems
PartPartWhole Ratios
 Lesson 15: PartPartWhole Ratios
 Lesson 16: Solving More Ratio Problems
Let's Put it to Work
 Lesson 17: A Fermi Problem

Unit 6.3: Unit Rates and Percentages
The Burj Khalifa
 Lesson 1: The Burj Khalifa
Unit Conversion
 Lesson 2: Anchoring Units of Measurement
 Lesson 3: Measuring with DifferentSized Units
 Lesson 4: Converting Units
Rates
 Lesson 5: Comparing Speeds and Prices
 Lesson 6: Interpreting Rates
 Lesson 7: Equivalent Ratios Have the Same Unit Rates
 Lesson 8: More About Constant Speed
 Lesson 9: Solving Rate Problems
Percentages
 Lesson 10: What Are Percentages?
 Lesson 11: Percentages and Double Number Lines
 Lesson 12: Percentages and Tape Diagrams
 Lesson 13: Benchmark Percentages
 Lesson 14: Solving Percentage Problems
Percentages
 Lesson 15: Finding This Percent of That
 Lesson 16: Finding the Percentage
Let's Put it to Work
 Lesson 17: Painting a Room

Unit 6.4: Dividing Fractions
Making Sense of Division
 Lesson 1: Size of Divisor and Size of Quotient
 Lesson 2: Meanings of Division
 Lesson 3: Interpreting Division Situations
Meanings of Fraction Division
 Lesson 4: How Many Groups? (Part 1)
 Lesson 5: How Many Groups? (Part 2)
 Lesson 6: Using Diagrams to Find the Number of Groups
 Lesson 7: What Fraction of a Group?
 Lesson 8: How Much in Each Group? (Part 1)
 Lesson 9: How Much in Each Group? (Part 2)
Algorithm for Fraction Division
 Lesson 10: Dividing by Unit and NonUnit Fractions
 Lesson 11: Using an Algorithm to Divide Fractions
Fractions in Lengths, Areas, and Volumes
 Lesson 12: Fractional Lengths
 Lesson 13: Rectangles with Fractional Side Lengths
 Lesson 14: Fractional Lengths in Triangles and Prisms
 Lesson 15: Volume of Prisms
Let's Put it to Work
 Lesson 16: Solving Problems Involving Fractions
 Lesson 17: Fitting Boxes into Boxes

Unit 6.5: Arithmetic in Base Ten
Warming Up to Decimals
 Lesson 1: Using Decimals in a Shopping Context
Adding and Subtracting Decimals
 Lesson 2: Using Diagrams to Represent Addition and Subtraction
 Lesson 3: Adding and Subtracting Decimals with Few NonZero Digits
 Lesson 4: Adding and Subtracting Decimals with Many NonZero Digits
Multiplying Decimals
 Lesson 5: Decimal Points in Products
 Lesson 6: Methods for Multiplying Decimals
 Lesson 7: Using Diagrams to Represent Multiplication
 Lesson 8: Calculating Products of Decimals
Dividing Decimals
 Lesson 9: Using the Partial Quotients Method
 Lesson 10: Using Long Division
 Lesson 11: Dividing Numbers that Result in Decimals
 Lesson 12: Dividing Decimals by Whole Numbers
 Lesson 13: Dividing Decimals by Decimals
Let's Put it to Work
 Lesson 14: Using Operations on Decimals to Solve Problems
 Lesson 15: Making and Measuring Boxes

Unit 6.6 Expressions and Equations
Equations in One Variable
 Lesson 1: Tape Diagrams and Equations
 Lesson 2: Truth and Equations
 Lesson 3: Staying in Balance
 Lesson 4: Practice Solving Equations and Representing Situations with Equations
 Lesson 5: A New Way to Interpret a over b
Equal and Equivalent
 Lesson 6: Write Expressions Where Letters Stand for Numbers
 Lesson 7: Revisit Percentages
 Lesson 8: Equal and Equivalent
 Lesson 9: The Distributive Property, Part 1
 Lesson 10: The Distributive Property, Part 2
 Lesson 11: The Distributive Property, Part 3
Expressions with Exponents
 Lesson 12: Meaning of Exponents
 Lesson 13: Expressions with Exponents
 Lesson 14: Evaluating Expressions with Exponents
 Lesson 15: Equivalent Exponential Expressions
Relationships Between Quantities
 Lesson 16: Two Related Quantities, Part 1
 Lesson 17: Two Related Quantities, Part 2
 Lesson 18: More Relationships

Unit 6.7: Rational Numbers
Negative Numbers and Absolute Value
 Lesson 1: Positive and Negative Numbers
 Lesson 2: Points on the Number Line
 Lesson 3: Comparing Positive and Negative Numbers
 Lesson 4: Ordering Rational Numbers
 Lesson 5: Using Negative Numbers to Make Sense of Contexts
 Lesson 6: Absolute Value of Numbers
 Lesson 7: Comparing Numbers and Distance from Zero
Inequalities
 Lesson 8: Writing and Graphing Inequalities
 Lesson 9: Solutions of Inequalities
 Lesson 10: Interpreting Inequalities
The Coordinate Plane
 Lesson 11: Points on the Coordinate Plane
 Lesson 12: Constructing the Coordinate Plane
 Lesson 13: Interpreting Points on a Coordinate Plane
 Lesson 14: Distances on a Coordinate Plane
 Lesson 15: Shapes on the Coordinate Plane
Common Factors and Common Multiples
 Lesson 16: Common Factors
 Lesson 17: Common Multiples
 Lesson 18: Using Common Multiples and Common Factors

Unit 6.8: Data Sets and Distributions
Data, Variability, and Statistical Questions
 Lesson 1: Got Data?
 Lesson 2: Statistical Questions
Dot Plots and Histograms
 Lesson 3: Representing Data Graphically
 Lesson 4: Dot Plots
 Lesson 5: Using Dot Plots to Answer Statistical Questions
 Lesson 6: Histograms
 Lesson 7: Using Histograms to Answer Statistical Questions
 Lesson 8: Describing Distributions on Histograms
Mean and MAD
 Lesson 9: Interpreting the Mean as Fair Share
 Lesson 10: Finding and Interpreting the Mean as the Balance Point
 Lesson 11: Deviation from the Mean
 Lesson 12: Using Mean and MAD to Make Comparisons
Median and IQR
 Lesson 13: The Median of a Data Set
 Lesson 14: Comparing Mean and Median
 Lesson 15: Quartiles and Interquartile Range
 Lesson 16: Box Plots
 Lesson 17: Using Box Plots
Let's Put it to Work
 Lesson 18: Using Data to Solve Problems

Unit 6.9: Putting It All Together
Making Connections
 Lesson 1: Fermi Problems
 Lesson 2: If Our Class Were the World
 Lesson 3: Rectangle Madness
 Lesson 4: How Do We Choose?
 Lesson 5: More than Two Choices
 Lesson 6: Picking Representatives
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