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