Utilizing Illustrative Math
Geometry
Pacing Guide for High School

How to Use This Guide

This schedule follows the 29-week pacing guide provided by Illustrative Mathematics. To help you navigate the course effectively:

  • Unit Links with Practice Problem Videos: This column provides direct access to the unit overview and includes a link to a playlist featuring videos that demonstrate solutions to most practice problems.
  • Lesson Links: Each lesson title is linked directly to the digital student workbooks and interactive tasks.
  • Video Lessons: The second column provides links to video explanations (where available) to help reinforce complex geometric concepts.
  • Optional Lessons: Any lessons listed in italics are considered optional enrichment and can be skipped if you are short on time without missing core standards.
  • Teacher/Caregiver Resources: Parents and caregivers can create a free teacher account on the IM website. This grants access to essential resources, including:
    • Assessments
    • Detailed teacher guides with lesson aims.
    • Full answer keys

Why Choose Illustrative Mathematics?

Illustrative Mathematics is a problem-based curriculum rooted in the idea that students learn best by doing math, rather than just memorizing formulas.

Problem-Based Learning

Instead of starting with a lecture, lessons begin with a “Notice and Wonder” or a challenging task. Students develop conceptual understanding by exploring geometric relationships before the formal definitions are introduced.

Focus on Rigor and Coherence

IM is designed to build “mathematical authority.” In Geometry, this means moving beyond simple shape identification to deep logical proofs, coordinate geometry, and trigonometry, ensuring students are prepared for advanced algebra and beyond.

WeekUnitLessonVideo
 1 Unit 1   Constructions and Rigid and Transformations Practice Problem VideosLesson 1: Build It 
Lesson 2: Constructing Patterns
Lesson 3: Construction Techniques 1:  Perpendicular Bisectors 
Lesson 4: Construction Techniques 2: Equilateral Triangles
Lesson 1: Build It
Lesson 2: Constructing Patterns
Lesson 3: Construction Techniques 1:  Perpendicular Bisectors  
Lesson 4: Construction Techniques 2: Equilateral Triangles
2 Lesson 5: Construction Techniques 3: Perpendicular Lines and Angle Bisectors
Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines
Lesson 7: Construction Techniques 5: Squares
Lesson 8: Using Technology for Constructions
Lesson 9: Speedy Delivery
Lesson 5: Construction Techniques 3: Perpendicular Lines and Angle Bisectors Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines Lesson 7: Construction Techniques 5: Squares
Lesson 8: Using Technology for Constructions Lesson 9: Speedy Delivery
 3 Lesson 10: Rigid Transformations Lesson 11: Defining Reflections
Lesson 12: Defining Translations
Lesson 13: Incorporating Rotations
Lesson 14: Defining Rotations
Lesson 10: Rigid Transformations Lesson 11: Defining Reflections
Lesson 12: Defining Translations
Lesson 13: Incorporating Rotations
Lesson 14: Defining Rotations
 4 Lesson 15: Symmetry Lesson 16: More Symmetry
Lesson 17: Working with Rigid Transformations Lesson 18: Practicing Point-by-Point Transformations
Lesson 15: Symmetry Lesson 16: More Symmetry
Lesson 17: Working with Rigid Transformations Lesson 18: Practicing Point-by-Point Transformations
 5 Lesson 19: Evidence, Angles, and Proof Lesson 20: Transformations, Transversals, and Proof
Lesson 21: One Hundred Eighty Lesson 22: Now What Can You Build?
Lesson 19: Evidence, Angles, and Proof Lesson 20: Transformations, Transversals, and Proof
Lesson 21: One Hundred Eighty Lesson 22: Now What Can You Build
 6 Unit 2
Congruence Practice Problem Videos
Lesson 1: Congruent Parts, Part 1
Lesson 2: Congruent Parts, Part 2
Lesson 3: Congruent Triangles, Part 1 Lesson 4: Congruent Triangles, Part 2 Lesson 5: Points, Segments, and Zigzags
Lesson 1: Congruent Parts, Part 1
Lesson 2: Congruent Parts, Part 2
Lesson 3: Congruent Triangles, Part 1 Lesson 4: Congruent Triangles, Part 2 Lesson 5: Points, Segments, and Zigzags
 7 Lesson 6: Side-Angle-Side Triangle Congruence
Lesson 7: Angle-Side-Angle Triangle Congruence
Lesson 8: The Perpendicular Bisector Theorem Lesson 9: Side-Side-Side Triangle Congruence
Lesson 10: Practicing Proofs
Lesson 6: Side-Angle-Side Triangle Congruence
Lesson 7: Angle-Side-Angle Triangle Congruence
Lesson 8: The Perpendicular Bisector Theorem Lesson 9: Side-Side-Side Triangle Congruence
Lesson 10: Practicing Proofs
 8 Lesson 11: Side-Side-Angle (Sometimes) Congruence Lesson 12: Proofs about Quadrilaterals
Lesson 13: Proofs about Parallelograms Lesson 14: Bisect It Lesson 15: Congruence for Quadrilaterals
Lesson 11: Side-Side-Angle (Sometimes) Congruence
Lesson 12: Proofs about Quadrilaterals Lesson 13: Proofs about Parallelograms Lesson 14: Bisect It Lesson 15: Congruence for Quadrilaterals Review
 9 Unit 3
Similarity Practice Problem Videos
Lesson 1: Scale Drawings
Lesson 2: Scale of the Solar System Lesson 3: Measuring Dilations
Lesson 4: Dilating Lines and Angles Lesson 5: Splitting Triangle Sides with Dilation (Part 1)
Lesson 1: Scale Drawings
Lesson 2: Scale of the Solar System Lesson 3: Measuring Dilations Lesson 4: Dilating Lines and Angles
Lesson 5: Splitting Triangle Sides with Dilation (Part 1)
 10 Lesson 6: Connecting Similarity and Transformations Lesson 7: Reasoning about Similarity with Transformations Lesson 8: Are They All Similar?
Lesson 9: Conditions for Triangle Similarity Lesson 10: Other Conditions for Triangle Similarity
Lesson 6: Connecting Similarity and Transformations Lesson 7: Reasoning about Similarity with Transformations Lesson 8: Are They All Similar?
Lesson 9: Conditions for Triangle Similarity Lesson 10: Other Conditions for Triangle Similarity
 11 Lesson 11: Splitting Triangle Sides with Dilation (Part 2) Lesson 12: Practice with Proportional Relationships Lesson 13: Using the Pythagorean Theorem and Similarity
Lesson 14: Proving the Pythagorean Theorem
“Lesson 11: Splitting Triangle Sides with Dilation (Part 2) Unit 3 Review
Lesson 12: Practice with Proportional Relationships
Lesson 13: Using the Pythagorean Theorem and Similarity
Lesson 14: Proving the Pythagorean Theorem
How to Use the PythagoreanTheory  How to use Geometric Mean in Triangles w/an Altitude drawn to the Hypotenuse
 12 Lesson 15: Converse of the Pythagorean Theorem
Lesson 16: Finding All the Unknown Values in Triangles
Lesson 17: Reflection Similarity
Lesson 15: Converse of the Pythagorean Theorem
Lesson 16: Finding All the Unknown Values in Triangles
Lesson 17: Reflection Similarity
 13 Unit 4
Right Triangle Trigonometry Practice Problem Videos
Lesson 1: Angles and Steepness
Lesson 2: Half a Square
Lesson 3: Half an Equilateral Triangle Lesson 4: Ratios in Right Triangles
Lesson 1: Angles and Steepness
Lesson 2: Half a Square
Lesson 3: Half an Equilateral Triangle Lesson 4: Ratios in Right Triangles
 14 Lesson 5: Working with Ratios in Right Triangles
Lesson 6: Working with Trigonometric Ratios
Lesson 7: Applying Ratios in Right Triangles
Lesson 8: Sine and Cosine in the Same Right Triangle
Lesson 5: Working with Ratios in Right Triangles
Lesson 6: Working with Trigonometric Ratios
Lesson 7: Applying Ratios in Right Triangles
Lesson 8: Sine and Cosine in the Same Right Triangle
 15 Lesson 9: Trigonometry Squared
Lesson 10: Using Trigonometric Ratios to Find Angles Lesson 11: Solving Problems with Trigonometry
Lesson 12: Approximating Pi
Lesson 9: Trigonometry Squared
Unit 4 Review
Lesson 10: Using Trigonometric Ratios to Find Angles Lesson 11: Solving Problems with Trigonometry
Lesson 12: Approximating Pi
 16 Unit 5
Solid Geometry Practice Problem Videos
Lesson 1: Solids of Rotation
Lesson 2: Slicing Solids
Lesson 3: Creating Cross-Sections by Dilating
Lesson 4: Scaling and Area
Lesson 5: Scaling and Unscaling
Lesson 1: Solids of Rotation
Lesson 2: Slicing Solids
Lesson 3: Creating Cross-Sections by Dilating
Lesson 4: Scaling and Area
Lesson 5: Scaling and Unscaling
 17 Lesson 6: Scaling Solids
Lesson 7: The Root of the Problem Lesson 8: Speaking of Scaling
Lesson 9: Cylinder Volumes
Lesson 10: Cross-Sections and Volume
Lesson 6: Scaling Solids
Lesson 7: The Root of the Problem Lesson 8: Speaking of Scaling
Lesson 9: Cylinder Volumes
Lesson 10: Cross-Sections and Volume
 18 Lesson 11: Prisms Practice
Lesson 12: Prisms and Pyramids
Lesson 13: Building a Volume Formula for a Pyramid
Lesson 14: Working with Pyramids
Lesson 11: Prisms Practice
Lesson 12: Prisms and Pyramids Lesson 13: Building a Volume Formula for a Pyramid
Lesson 14: Working with Pyramids
 19 Lesson 15: Putting All the Solids Together Lesson 16: Surface Area and Volume Lesson 17: Volume and Density Lesson 18: Volume and GraphingLesson 15: Putting All the Solids Together Unit 5 Review Lesson 16: Surface Area and Volume Lesson 17: Volume and Density Lesson 18: Volume and Graphing
 20 Unit 6
Coordinate Geometry Practice Problem Videos
Lesson 1: Rigid Transformations in a Plane
Lesson 2: Transformations as Functions
Lesson 3: Types of Transformations Lesson 4: Distances and Circles
Lesson 5: Squares and Circles
Lesson 1: Rigid Transformations in a Plane
Lesson 2: Transformations as Functions
Lesson 3: Types of Transformations Lesson 4: Distances and Circles
Lesson 5: Squares and Circles
 21 Lesson 6: Completing the Square
Lesson 7: Distances and Parabolas Lesson 8: Equations and Graphs
Lesson 9: Equations of Lines
Lesson 10: Parallel Lines in the Plane
Lesson 6: Completing the Square
Lesson 7: Distances and Parabolas Lesson 8: Equations and Graphs
Lesson 9: Equations of Lines
Lesson 10: Parallel Lines in the Plane
 22 Lesson 11: Perpendicular Lines in the Plane
Lesson 12: It’s All on the Line
Lesson 13: Intersection Points Lesson 14: Coordinate Proof
Lesson 11: Perpendicular Lines in the Plane
Lesson 12: It’s All on the Line
Lesson 13: Intersection Points Lesson 14: Coordinate Proof” Unit 6 Review Part 1 Unit 6 Review Part 2 Lesson 9-11 Recap
 23 Lesson 15: Weighted Averages
Lesson 16: Weighted Averages in a Triangle
Lesson 17: Lines in Triangles
Lesson 18: Applying Area and Perimeter on the Plane
Lesson 15: Weighted Averages
Lesson 16: Weighted Averages in a Triangle
Lesson 17: Lines in Triangles
Lesson 18: Applying Area and Perimeter on the Plane
 24 Unit 7
Circles Practice Problem Videos
Lesson 1: Lines, Angles, and Curves Lesson 2: Inscribed Angles
Lesson 3: Tangent Lines
Lesson 4: Quadrilaterals in Circles
Lesson 5: Triangles in Circles
Lesson 1: Lines, Angles, and Curves Lesson 2: Inscribed Angles
Lesson 3: Tangent Lines
Lesson 4: Quadrilaterals in Circles
Lesson 5: Triangles in Circles
 25 Lesson 6: A Special Point
Lesson 7: Circles in Triangles
Lesson 8: Arcs and Sectors
Lesson 9: Part to Whole
Lesson 6: A Special Point
Lesson 7: Circles in Triangles + Unit 7 Lesson 7 Video Lesson (w/construction of incenter digitally & by hand)  
Lesson 8: Arcs and Sectors
Lesson 9: Part to Whole
 26 Lesson 10: Angles, Arcs, and Radii Lesson 11: A New Way to Measure Angles
Lesson 12: Radian Sense
Lesson 13: Using Radians
Lesson 14: Putting It All Together
Lesson 10: Angles, Arcs, and Radii Lesson 11: A New Way to Measure Angles
Lesson 12: Radian Sense
Lesson 13: Using Radians
Lesson 14: Putting It All Together
Unit 7 Review
 27 Unit 8
Conditional Probability


Practice Problem Videos
Lesson 1: Up to Chance
Lesson 2: Playing with Probability Lesson 3: Sample Spaces
Lesson 4: Tables of Relative Frequencies
Lesson 1: Up to Chance
Lesson 2: Playing with Probability Lesson 3: Sample Spaces
Lesson 4: Tables of Relative Frequencies
 28 Lesson 5: Combining Events
Lesson 6: The Addition Rule
Lesson 7: Related Events
Lesson 8: Conditional Probability
Lesson 5: Combining Events
Lesson 6: The Addition Rule
Lesson 7: Related Events
Lesson 8: Conditional Probability
Unit 8 Review
 29 Lesson 9: Using Tables for Conditional Probability
Lesson 10: Using Probability to Determine Whether Events Are Independent
Lesson 11: Probabilities in Games
Lesson 9: Using Tables for Conditional Probability
Lesson 10: Using Probability to Determine Whether Events Are Independent
Lesson 11: Probabilities in Games