Open Up Resources Math Curriculum For Grade 6, Grade 7 And Grade 8

Open Up Resources
Open Up Resources Grade 6	Open Up Resources Grade 7	Open Up Resources Grade 8

The Open Up Resources Math curriculum, authored by Illustrative Mathematics is a free math curriculum for Grade 6, Grade 7, and Grade 8. 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.

6th Grade

• Unit 6.1: Area and Surface Area

  Reasoning to Find Area
  Lesson 1: Tiling the Plane
  Lesson 2: Finding Area by Decomposing and Rearranging
  Lesson 3: Reasoning to Find Area
  

  Parallelograms
  Lesson 4: Parallelograms
  Lesson 5: Bases and Heights of Parallelograms
  Lesson 6: Area of Parallelograms
  

  Triangles
  Lesson 7: From Parallelograms to Triangles
  Lesson 8: Area of Triangles
  Lesson 9: Formula for the Area of a Triangle
  Lesson 10: Bases and Heights of Triangles
  

  Polygons
  Lesson 11: Polygons
  

  Surface Area
  Lesson 12: What is Surface Area?
  Lesson 13: Polyhedra
  Lesson 14: Nets and Surface Area
  Lesson 15: More Nets, More Surface Area
  Lesson 16: Distinguishing Between Surface Area and Volume
  

  Squares and Cubes
  Lesson 17: Squares and Cubes
  Lesson 18: Surface Area of a Cube
  

  Let’s Put it to Work
  Lesson 19: Designing a Tent

• 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
  

  Part-Part-Whole Ratios
  Lesson 15: Part-Part-Whole 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 Different-Sized 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
  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 Non-Unit 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 Non-Zero Digits
  Lesson 4: Adding and Subtracting Decimals with Many Non-Zero 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

7th Grade

• Grade 7 Unit 1: Scale Drawings

  Scaled Copies
  Lesson 1: What are Scaled Copies?
  Lesson 2: Corresponding Parts and Scale Factors
  Lesson 3: Making Scaled Copies
  Lesson 4: Scaled Relationships
  Lesson 5: The Size of the Scale Factor
  Lesson 6: Scaling and Area
  

  Scale Drawings
  Lesson 7: Scale Drawings
  Lesson 8: Scale Drawings and Maps
  Lesson 9: Creating Scale Drawings
  Lesson 10: Changing Scales in Scale Drawings
  Lesson 11: Scales without Units
  Lesson 12: Units in Scale Drawings
  

  Let’s Put It to Work
  Lesson 13: Draw It to Scale
  

• Grade 7 Unit 2: Introducing Proportional Relationships

  Representing Proportional Relationships with Tables
  Lesson 1: One of These Things Is Not Like the Others
  Lesson 2: Introducing Proportional Relationships with Tables
  Lesson 3: More about Constant of Proportionality
  

  Representing Proportional Relationships with Equations
  Lesson 4: Proportional Relationships and Equations
  Lesson 5: Two Equations for Each Relationship
  Lesson 6: Using Equations to Solve Problems
  

  Comparing Proportional and Nonproportional Relationships
  Lesson 7: Comparing Relationships with Tables
  Lesson 8: Comparing Relationships with Equations
  Lesson 9: Solving Problems about Proportional Relationships
  

  Representing Proportional Relationships with Graphs
  Lesson 10: Introducing Graphs of Proportional Relationships
  Lesson 11: Interpreting Graphs of Proportional Relationships
  Lesson 12: Using Graphs to Compare Relationships
  Lesson 13: Two Graphs for Each Relationship
  

  Let’s Put it to Work
  Lesson 14: Four Representations
  Lesson 15: Using Water Efficiently
  

• Grade 7 Unit 3: Measuring Circles

  Circumference of a Circle
  Lesson 1: How Well Can You Measure?
  Lesson 2: Exploring Circles
  Lesson 3: Exploring Circumference
  Lesson 4: Applying Circumference
  Lesson 5: Circumference and Wheels
  

  Area of a Circle
  Lesson 6: Estimating Areas
  Lesson 7: Exploring the Area of a Circle
  Lesson 8: Relating Area to Circumference
  Lesson 9: Applying Area of Circles
  

  Let’s Put it to Work
  Lesson 10: Distinguishing Circumference and Area
  Lesson 11: Stained-Glass Windows
  

• Grade 7 Unit 4: Proportional Relationships and Percentages

  Proportional Relationships with Fractions
  Lesson 1: Lots of Flags
  Lesson 2: Ratios and Rates With Fractions
  Lesson 3: Revisiting Proportional Relationships
  Lesson 4: Half as Much Again
  Lesson 5: Say It with Decimals
  

  Percent Increase and Decrease
  Lesson 6: Increasing and Decreasing
  Lesson 7: One Hundred Percent
  Lesson 8: Percent Increase and Decrease with Equations
  Lesson 9: More and Less than 1%
  

  Applying Percentages
  Lesson 10: Tax and Tip
  Lesson 11: Percentage Contexts
  Lesson 12: Finding the Percentage
  Lesson 13: Measurement Error
  Lesson 14: Percent Error
  Lesson 15: Error Intervals
  

  Let’s Put it to Work
  Lesson 16: Posing Percentage Problems
  

• Grade 7 Unit 5: Rational Number Arithmetic

  Interpreting Negative Numbers
  Lesson 1: Interpreting Negative Numbers
  

  Adding and Subtracting Rational Numbers
  Lesson 2: Changing Temperatures
  Lesson 3: Changing Elevation
  Lesson 4: Money and Debts
  Lesson 5: Representing Subtraction
  Lesson 6: Subtracting Rational Numbers
  Lesson 7: Adding and Subtracting to Solve Problems
  

  Multiplying and Dividing Rational Numbers
  Lesson 8: Position, Speed, and Direction
  Lesson 9: Multiplying Rational Numbers
  Lesson 10: Multiply!
  Lesson 11: Dividing Rational Numbers
  Lesson 12: Negative Rates
  

  Four Operations with Rational Numbers
  Lesson 13: Expressions with Rational Numbers
  Lesson 14: Solving Problems with Rational Numbers
  

  Solving Equations When There Are Negative Numbers
  Lesson 15: Solving Equations with Rational Numbers
  Lesson 16: Representing Contexts with Equations
  

  Let’s Put it to Work
  Lesson 17: The Stock Market
  

• Grade 7 Unit 6: Expressions, Equations, and Inequalities

  Representing Situations of the Form px + q = r and p(x + q) = r
  Lesson 1: Relationships between Quantities
  Lesson 2: Reasoning about Contexts with Tape Diagrams (Part 1)
  Lesson 3: Reasoning about Contexts with Tape Diagrams (Part 2)
  Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
  Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
  Lesson 6: Distinguishing between Two Types of Situations
  

  Solving Equations of the Form px + q = r and p(x + q) = r and Problems That Lead to Those Equations
  Lesson 7: Reasoning about Solving Equations (Part 1)
  Lesson 8: Reasoning about Solving Equations (Part 2)
  Lesson 9: Dealing with Negative Numbers
  Lesson 10: Different Options for Solving One Equation
  Lesson 11: Using Equations to Solve Problems
  Lesson 12: Solving Problems about Percent Increase or Decrease
  

  Inequalities
  Lesson 13: Reintroducing Inequalities
  Lesson 14: Finding Solutions to Inequalities in Context
  Lesson 15: Efficiently Solving Inequalities
  Lesson 16: Interpreting Inequalities
  Lesson 17: Modeling with Inequalities
  

  Writing Equivalent Expressions
  Lesson 18: Subtraction in Equivalent Expressions
  Lesson 19: Expanding and Factoring
  Lesson 20: Combining Like Terms (Part 1)
  Lesson 21: Combining Like Terms (Part 2)
  Lesson 22: Combining Like Terms (Part 3)
  

• Grade 7 Unit 7: Angles, Triangles, and Prisms

  Angle Relationships
  Lesson 1: Relationships of Angles
  Lesson 2: Adjacent Angles
  Lesson 3: Nonadjacent Angles
  Lesson 4: Solving for Unknown Angles
  Lesson 5: Using Equations to Solve for Unknown Angles
  

  Drawing Polygons with Given Conditions
  Lesson 6: Building Polygons (Part 1)
  Lesson 7: Building Polygons (Part 2)
  Lesson 8: Triangles with 3 Common Measures
  Lesson 9: Drawing Triangles (Part 1)
  Lesson 10: Drawing Triangles (Part 2)
  

  Solid Geometry
  Lesson 11: Slicing Solids
  Lesson 12: Volume of Right Prisms
  Lesson 13: Decomposing Bases for Area
  Lesson 14: Surface Area of Right Prisms
  Lesson 15: Distinguishing Volume and Surface Area
  Lesson 16: Applying Volume and Surface Area
  

  Let’s Put It to Work
  Lesson 17: Building Prisms
  

• Grade 7 Unit 8: Probability and Sampling

  Probabilities of Single Step Events
  Lesson 1: Mystery Bags
  Lesson 2: Chance Experiments
  Lesson 3: What Are Probabilities?
  Lesson 4: Estimating Probabilities Through Repeated Experiments
  Lesson 5: More Estimating Probabilities
  Lesson 6: Estimating Probabilities Using Simulation
  

  Probabilities of Multi-step Events
  Lesson 7: Simulating Multi-step Experiments
  Lesson 8: Keeping Track of All Possible Outcomes
  Lesson 9: Multi-step Experiments
  Lesson 10: Designing Simulations
  

  Sampling
  Lesson 11: Comparing Groups
  Lesson 12: Larger Populations
  Lesson 13: What Makes a Good Sample?
  Lesson 14: Sampling in a Fair Way
  

  Using Samples
  Lesson 15: Estimating Population Measures of Center
  Lesson 16: Estimating Population Proportions
  Lesson 17: More about Sampling Variability
  Lesson 18: Comparing Populations Using Samples
  Lesson 19: Comparing Populations With Friends
  

  Let’s Put it to Work
  Lesson 18: Memory Test

• Grade 7 Unit 9: Putting It All Together

  Running a Restaurant
  Lesson 1: Planning Recipes
  Lesson 2: Costs of Running a Restaurant
  Lesson 3: More Costs of Running a Restaurant
  Lesson 4: Restaurant Floor Plan
  

  Making Connections
  Lesson 5: How Crowded Is this Neighborhood?
  Lesson 6: Fermi Problems
  Lesson 7: More Expressions and Equations
  Lesson 8: Measurement Error (Part 1)
  Lesson 9: Measurement Error (Part 2)
  

  Designing a Course
  Lesson 10: Measuring Long Distances Over Uneven Terrain
  Lesson 11: Building a Trundle Wheel
  Lesson 12: Using a Trundle Wheel to Measure Distances
  Lesson 13: Designing a 5K Course
  

8th Grade

• Grade 8 Unit 1: Rigid Transformations and Congruence

  Rigid Transformations
  Lesson 1: Moving in the Plane
  Lesson 2: Naming the Moves
  Lesson 3: Grid Moves
  Lesson 4: Making the Moves
  Lesson 5: Coordinate Moves
  Lesson 6: Describing Transformations
  

  Properties of Rigid Transformations
  Lesson 7: No Bending or Stretching
  Lesson 8: Rotation Patterns
  Lesson 9: Moves in Parallel
  Lesson 10: Composing Figures
  

  Congruence
  Lesson 11: What Is the Same?
  Lesson 12: Congruent Polygons
  Lesson 13: Congruence
  

  Angles in a Triangle
  Lesson 14: Alternate Interior Angles
  Lesson 15: Adding the Angles in a Triangle
  Lesson 16: Parallel Lines and the Angles in a Triangle
  

  Let’s Put It to Work
  Lesson 17: Rotate and Tessellate
  

• Grade 8 Unit 2: Dilations, Similarity, and Introducing Slope

  Dilations
  Lesson 1: Projecting and Scaling
  Lesson 2: Circular Grid
  Lesson 3: Dilations with no Grid
  Lesson 4: Dilations on a Square Grid
  Lesson 5: More Dilations
  

  Similarity
  Lesson 6: Similarity
  Lesson 7: Similar Polygons
  Lesson 8: Similar Triangles
  Lesson 9: Side Length Quotients in Similar Triangles
  

  Slope
  Lesson 10: Meet Slope
  Lesson 11: Writing Equations for Lines
  Lesson 12: Using Equations for Lines
  

  Let’s Put It to Work
  Lesson 13: The Shadow Knows
  

• Grade 8 Unit 3: Linear Relationships

  Proportional Relationships
  Lesson 1: Understanding Proportional Relationships
  Lesson 2: Graphs of Proportional Relationships
  Lesson 3: Representing Proportional Relationships
  Lesson 4: Comparing Proportional Relationships
  

  Representing Linear Relationships
  Lesson 5: Introduction to Linear Relationships
  Lesson 6: More Linear Relationships
  Lesson 7: Representations of Linear Relationships
  Lesson 8: Translating to y=mx+b
  

  Finding Slopes
  Lesson 9: Slopes Don’t Have to be Positive
  Lesson 10: Calculating Slope
  Lesson 11: Equations of All Kinds of Lines
  

  Linear Equations
  Lesson 12: Solutions to Linear Equations
  Lesson 13: More Solutions to Linear Equations
  

  Let’s Put It to Work
  Lesson 14: Using Linear Relations to Solve Problems
  

• Grade 8 Unit 4: Linear Equations and Linear Systems

  Puzzle Problems
  Lesson 1: Number Puzzles
  

  Linear Equations in One Variable
  Lesson 2: Keeping the Equation Balanced
  Lesson 3: Balanced Moves
  Lesson 4: More Balanced Moves
  Lesson 5: Solving Any Linear Equation
  Lesson 6: Strategic Solving
  Lesson 7: All, Some, or No Solutions
  Lesson 8: How Many Solutions?
  Lesson 9: When Are They the Same?
  

  Systems of Linear Equations
  Lesson 10: On or Off the Line?
  Lesson 11: On Both of the Lines
  Lesson 12: Systems of Equations
  Lesson 13: Solving Systems of Equations
  Lesson 14: Solving More Systems
  Lesson 15: Writing Systems of Equations
  

  Let’s Put It to Work
  Lesson 16: Solving Problems with Systems of Equations
  

• Grade 8 Unit 5: Functions and Volume

  Inputs and Outputs
  Lesson 1: Inputs and Outputs
  Lesson 2: Introduction to Functions
  

  Representing and Interpreting Functions
  Lesson 3: Equations for Functions
  Lesson 4: Tables, Equations, and Graphs of Functions
  Lesson 5: More Graphs of Functions
  Lesson 6: Even More Graphs of Functions
  Lesson 7: Connecting Representations of Functions
  

  Linear Functions and Rates of Change
  Lesson 8: Linear Functions
  Lesson 9: Linear Models
  Lesson 10: Piecewise Linear Functions
  

  Cylinders and Cones
  Lesson 11: Filling containers
  Lesson 12: How Much Will Fit?
  Lesson 13: The Volume of a Cylinder
  Lesson 14: Finding Cylinder Dimensions
  Lesson 15: The Volume of a Cone
  Lesson 16: Finding Cone Dimensions
  

  Dimensions and Spheres
  Lesson 17: Scaling One Dimension
  Lesson 18: Scaling Two Dimensions
  Lesson 19: Estimating a Hemisphere
  Lesson 20: The Volume of a Sphere
  Lesson 21: Cylinders, Cones, and Spheres
  

  Let’s Put It to Work
  Lesson 22: Volume As a Function of . . .
  

• Grade 8 Unit 6: Associations in Data

  Does This Predict That?
  Lesson 1: Organizing Data
  Lesson 2: Plotting Data
  

  Associations in Numerical Data
  Lesson 3: What a Point in a Scatter Plot Means
  Lesson 4: Fitting a Line to Data
  Lesson 5: Describing Trends in Scatter Plots
  Lesson 6: The Slope of a Fitted Line
  Lesson 7: Observing More Patterns in Scatter Plots
  Lesson 8: Analyzing Bivariate Data
  

  Associations in Categorical Data
  Lesson 9: Looking for Associations
  Lesson 10: Using Data Displays to Find Associations
  

  Let’s Put It to Work
  Lesson 11: Gone In 30 Seconds
  

• Grade 8 Unit 7: Exponents and Scientific Notation

  Exponent Review
  Lesson 1: Exponent Review
  

  Associations in Numerical Data
  Lesson 2: Multiplying Powers of Ten
  Lesson 3: Powers of Powers of 10
  Lesson 4: Dividing Powers of 10
  Lesson 5: Negative Exponents with Powers of 10
  Lesson 6: What about Other Bases?
  Lesson 7: Practice with Rational Bases
  Lesson 8: Combining Bases
  

  Scientific Notation
  Lesson 9: Describing Large and Small Numbers Using Powers of 10
  Lesson 10: Representing Large Numbers on the Number Line
  Lesson 11: Representing Small Numbers on the Number Line
  Lesson 12: Applications of Arithmetic with Powers of 10
  Lesson 13: Definition of Scientific Notation
  Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
  Lesson 15: Adding and Subtracting with Scientific Notation
  

  Let’s Put It to Work
  Lesson 16: Is a Smartphone Smart Enough to Go to the Moon?
  

• Grade 8 Unit 8: Pythagorean Theorem and Irrational Numbers

  The Size of Shapes
  Lesson 1: The Areas of Squares and Their Side Lengths
  

  Side Lengths and Areas of Squares
  Lesson 2: Side Lengths and Areas
  Lesson 3: Rational and Irrational Numbers
  Lesson 4: Square Roots on the Number Line
  Lesson 5: Reasoning About Square Roots
  

  The Pythagorean Theorem
  Lesson 6: Finding Side Lengths of Triangles
  Lesson 7: A Proof of the Pythagorean Theorem
  Lesson 8: Finding Unknown Side Lengths
  Lesson 9: The Converse
  Lesson 10: Applications of the Pythagorean Theorem
  Lesson 11: Finding Distances in the Coordinate Plane
  

  Side Lengths and Volumes of Cubes
  Lesson 12: Edge Lengths and Volumes
  Lesson 13: Cube Roots
  

  Decimal Representation of Rational and Irrational Numbers
  Lesson 14: Decimal Representations of Rational Numbers
  Lesson 15: Infinite Decimal Expansions
  

• Grade 8 Unit 9: Putting It All Together

  Putting It All Together
  Lesson 1: What Influences Temperature?
  Lesson 2: Tessellations of the Plane
  

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