Illustrative Mathematics Course 3 Outline
Unit 1: Rigid Transformations and Congruence
Topic: Rigid Transformations
Lesson 1-1 Moving in the Plane
Lesson 1-2 Naming the Moves
Lesson 1-3 Grid Moves
Lesson 1-4 Making the Moves
Lesson 1-5 Coordinate Moves
Lesson 1-6 Describing Transformations
Topic: Properties of Rigid Transformations
Lesson 1-7 No Bending or Stretching
Lesson 1-8 Rotation Patterns
Lesson 1-9 Moves in Parallel
Lesson 1-10 Composing Figures
Topic: Congruence
Lesson 1-11 What is the Same?
Lesson 1-12 Congruent Polygons
Lesson 1-13 Congruence
Topic: Angles in a Triangle
Lesson 1-14 Alternate Interior Angles
Lesson 1-15 Adding the Angles in a Triangle
Lesson 1-16 Parallel Lines and the Angles in a Triangle
Topic: Let’s Put it to Work
Lesson 1-17 Rotate and Tessellate
Unit 2: Dilations, Similarity, and Introducing Slope
Topic: Dilations
Lesson 2-1 Projecting and Scaling
Lesson 2-2 Circular Grid
Lesson 2-3 Dilations with No Grid
Lesson 2-4 Dilations on a Square Grid
Lesson 2-5 More Dilations
Topic: Similarity
Lesson 2-6 Similarity
Lesson 2-7 Similar Polygons
Lesson 2-8 Similar Triangles
Lesson 2-9 Side Length Quotients in Similar Triangles
Topic: Slope
Lesson 2-10 Meet Slope
Lesson 2-11 Writing Equations for Lines
Lesson 2-12 Using Equations for Lines
Topic: Let’s Put it to Work
Lesson 2-13 The Shadow Knows
Unit 3: Linear Relationships
Topic: Proportional Relationships
Lesson 3-1 Understanding Proportional Relationships
Lesson 3-2 Graphs of Proportional Relationships
Lesson 3-3 Representing Proportional Relationships
Lesson 3-4 Comparing Proportional Relationships
Topic: Representing Linear Relationships
Lesson 3-5 Introduction to Linear Relationships
Lesson 3-6 More Linear Relationships
Lesson 3-7 Representations of Linear Relationships
Lesson 3-8 Translating to y=mx+b
Topic: Finding Slopes
Lesson 3-9 Slopes Don’t Have to be Positive
Lesson 3-10 Calculating Slope
Lesson 3-11 Equations of All Kinds of Lines
Topic: Linear Equations
Lesson 3-12 Solutions to Linear Equations
Lesson 3-13 More Solutions to Linear Equations
Topic: Let’s Put it to Work
Lesson 3-14 Using Linear Relations to Solve Problems
Unit 4: Linear Equations and Linear Systems
Topic: Puzzle Problems
Lesson 4-1 Number Puzzles
Topic: Linear Equations in One Variable
Lesson 4-2 Keeping the Equation Balanced
Lesson 4-3 Balanced Moves
Lesson 4-4 More Balanced Moves
Lesson 4-5 Solving Any Linear Equation
Lesson 4-6 Strategic Solving
Lesson 4-7 All, Some, or No Solutions
Lesson 4-8 How Many Solutions?
Lesson 4-9 When Are They the Same?
Topic: Systems of Linear Equations
Lesson 4-10 On or Off the Line?
Lesson 4-11 On Both of the Lines
Lesson 4-12 Systems of Equations
Lesson 4-13 Solving Systems of Equations
Lesson 4-14 Solving More Systems
Lesson 4-15 Writing Systems of Equations
Topic: Let’s Put it to Work
Lesson 4-16 Solving Problems with Systems of Equations
Unit 5: Functions and Volume
Topic: Inputs and Outputs
Lesson 5-1 Inputs and Outputs
Lesson 5-2 Introduction to Functions
Topic: Representing and Interpreting Functions
Lesson 5-3 Equations for Functions
Lesson 5-4 Tables, Equations, and Graphs of Functions
Lesson 5-5 More Graphs of Functions
Lesson 5-6 Even More Graphs of Functions
Lesson 5-7 Connecting Representations of Functions
Topic: Linear Functions and Rates of Change
Lesson 5-8 Linear Functions
Lesson 5-9 Linear Models
Lesson 5-10 Piecewise Linear Functions
Topic: Cylinders and Cones
Lesson 5-11 Filling Containers
Lesson 5-12 How Much Will Fit?
Lesson 5-13 The Volume of a Cylinder
Lesson 5-14 Finding Cylinder Dimensions
Lesson 5-15 The Volume of a Cone
Lesson 5-16 Finding Cone Dimensions
Topic: Dimensions and Spheres
Lesson 5-17 Scaling One Dimension
Lesson 5-18 Scaling Two Dimensions
Lesson 5-19 Estimating a Hemisphere
Lesson 5-20 The Volume of a Sphere
Lesson 5-21 Cylinders, Cones, and Spheres
Topic: Let’s Put it to Work
Lesson 5-22 Volume as a Function of…
Unit 6: Associations in Data
Topic: Does this Predict That?
Lesson 6-1 Organizing Data
Lesson 6-2 Plotting Data
Topic: Associations in Numerical Data
Lesson 6-3 What a Point in a Scatter Plot Means
Lesson 6-4 Fitting a Line to Data
Lesson 6-5 Describing Trends in Scatter Plots
Lesson 6-6 The Slope of a Fitted Line
Lesson 6-7 Observing More Patterns in Scatter Plots
Lesson 6-8 Analyzing Bivariate Data
Topic: Associations in Categorical Data
Lesson 6-9 Looking for Associations
Lesson 6-10 Using Data Displays to Find Associations
Topic: Let’s Put it to Work
Lesson 6-11 Gone in 30 seconds
Unit 7: Exponents and Scientific Notation
Topic: Exponent Review
Lesson 7-1 Exponent Review
Topic: Exponent Rules
Lesson 7-2 Multiplying Powers of Ten
Lesson 7-3 Powers of Powers of 10
Lesson 7-4 Dividing Powers of 10
Lesson 7-5 Negative Exponents with Powers of 10
Lesson 7-6 What about Other Bases?
Lesson 7-7 Practice with Rational Bases
Lesson 7-8 Combining Bases
Topic: Scientific Notation
Lesson 7-9 Describing Large and Small Numbers Using Powers of 10
Lesson 7-10 Representing Large Numbers on the Number Line
Lesson 7-11 Representing Small Numbers on the Number Line
Lesson 7-12 Applications of Arithmetic with Powers of 10
Lesson 7-13 Definition of Scientific Notation
Lesson 7-14 Multiplying, Dividing, and Estimating with Scientific Notation
Lesson 7-15 Adding and Subtracting with Scientific Notation
Topic: Let’s Put it to Work
Lesson 7-16 Is a Smartphone Smart Enough to Go to the Moon?
Unit 8: Pythagorean Theorem and Irrational Numbers
Topic: Side Lengths and Areas of Squares
Lesson 8-1 The Areas of Squares and Their Side Lengths
Lesson 8-2 Side Lengths and Areas
Lesson 8-3 Rational and Irrational Numbers
Lesson 8-4 Square Roots on the Number Line
Lesson 8-5 Reasoning about Square Roots
Topic: The Pythagorean Theorem
Lesson 8-6 Finding Side Lengths of Triangles
Lesson 8-7 A Proof of the Pythagorean Theorem
Lesson 8-8 Finding Unknown Side Lengths
Lesson 8-9 The Converse
Lesson 8-10 Applications of the Pythagorean Theorem
Lesson 8-11 Finding Distances in the Coordinate Plane
Topic: Side Lengths and Volumes of Cubes
Lesson 8-12 Edge Lengths and Volumes
Lesson 8-13 Cube Roots
Topic: Decimal Representations of Rational and Irrational Numbers
Lesson 8-14 Decimal Representations of Rational Numbers
Lesson 8-15 Infinite Decimal Expansions
Topic: Let’s Put it to Work
Lesson 8-16 When is the Same Size Not the Same Size?
Unit 9: Putting it All Together
Topic: Tessellations
Lesson 9-1 Tessellations of the Plane
Lesson 9-2 Regular Tessellations
Lesson 9-3 Tessellating Polygons
Topic: The Weather
Lesson 9-4 What Influences Temperature?
Lesson 9-5 Plotting the Weather
Lesson 9-6 Using and Interpreting a Mathematical Model