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Math Worksheets

The Open Up Resources Math curriculum, authored by Illustrative Mathematics is a free math curriculum for Grades 6-8. 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.

• Grade 8 Unit 1: Rigid Transformations and Congruence

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

• 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

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 