Common Core Geometry Math (Worksheets, Homework, Lesson Plans)

The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. Eureka/EngageNY Math Geometry Worksheets.

These Lesson Plans and Worksheets are divided into five modules.

Geometry Homework, Lesson Plans and Worksheets

Topics and Objectives (Module 1)
Congruence, Proof, and Constructions Module 1 Overview Topic A Overview Lesson 1: Construct an Equilateral Triangle (Video Lesson) Lesson 2: Construct an Equilateral Triangle (Video Lesson) Lesson 3: Copy and Bisect an Angle (Video Lesson) Lesson 4: Construct a Perpendicular Bisector (Video Lesson) Lesson 5: Points of Concurrencies (Video Lesson)
Unknown Angles Topic B Overview Lesson 6: Solve for Unknown Angles—Angles and Lines at a Point (Video Lesson) Lesson 7: Solve for Unknown Angles—Transversals (Video Lesson) Lesson 8: Solve for Unknown Angles — Angles in a Triangle (Video Lesson) Lesson 9: Unknown Angle Proofs — Writing Proofs (Video Lesson) Lesson 10: Unknown Angle Proofs — Proofs with Constructions (Video Lesson) Lesson 11: Unknown Angle Proofs — Proofs of Known Facts (Video Lesson)
Transformations/Rigid Motions Topic C Overview Lesson 12: Transformations—The Next Level (Video Lesson) Lesson 13: Rotations (Video Lesson) Lesson 14: Reflections (Video Lesson) Lesson 15: Rotations, Reflections, and Symmetry (Video Lesson) Lesson 16: Translations (Video Lesson) Lesson 17: Characterize Points on a Perpendicular Bisector (Video Lesson) Lesson 18: Looking More Carefully at Parallel Lines (Video Lesson) Lesson 19: Construct and Apply a Sequence of Rigid Motions (Video Lesson) Lesson 20: Applications of Congruence in Terms of Rigid Motions (Video Lesson) Lesson 21: Correspondence and Transformations (Video Lesson)
Congruence Topic D Overview Lesson 22: Congruence Criteria for Triangles—SAS (Video Lesson) Lesson 23: Base Angles of Isosceles Triangles (Video Lesson) Lesson 24: Congruence Criteria for Triangles—ASA and SSS (Video Lesson) Lesson 25: Congruence Criteria for Triangles—AAS and HL (Video Lesson) Lesson 26, Lesson 27: Triangle Congruency Proofs (Video Lesson)
Congruence Topic E Overview Lesson 28: Properties of Parallelograms (Video Lesson) Lesson 29: Special Lines in Triangles (Video Lesson) Lesson 30: Special Lines in Triangles (Video Lesson)
Advanced Constructions Topic F Overview Lesson 31: Construct a Square and a Nine-Point Circle (Video Lesson) Lesson 32: Construct a Nine-Point Circle (Video Lesson)
Axiomatic Systems Topic G Overview Lesson 33: Review of the Assumptions (Video Lesson) Lesson 34: Review of the Assumptions (Video Lesson)

Topics and Objectives (Module 2)
Similarity, Proof, and Trigonometry Module 2 Overview Topic A Overview Lesson 1: Scale Drawings (Video Lesson) Lesson 2: Making Scale Drawings Using the Ratio Method (Video Lesson) Lesson 3: Making Scale Drawings Using the Parallel Method (Video Lesson) Lesson 4: Comparing the Ratio Method with the Parallel Method (Video Lesson) Lesson 5: Scale Factors (Video Lesson)
Dilations Topic B Overview Lesson 6: Dilations as Transformations of the Plane (Video Lesson) Lesson 7: How Do Dilations Map Segments? (Video Lesson) Lesson 8: How Do Dilations Map Lines, Rays, and Circles? (Video Lesson) Lesson 9: How Do Dilations Map Angles? (Video Lesson) Lesson 10: Dividing the King’s Foot into 12 Equal Pieces (Video Lesson) Lesson 11: Dilations from Different Centers (Video Lesson)
Similarity and Dilations Topic C Overview Lesson 12: What Are Similarity Transformations, and Why Do We Need Them? (Video Lesson) Lesson 13: Properties of Similarity Transformations (Video Lesson) Lesson 14: Similarity (Video Lesson) Lesson 15: The Angle-Angle (AA) Criterion for Two Triangles to Be Similar (Video Lesson) Lesson 16: : Between-Figure and Within-Figure Ratios (Video Lesson) Lesson 17: The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar (Video Lesson) Lesson 18: Similarity and the Angle Bisector Theorem (Video Lesson) Lesson 19: Families of Parallel Lines and the Circumference of the Earth (Video Lesson) Lesson 20: How Far Away Is the Moon? (Video Lesson)
Applying Similarity to Right Triangles Topic D Overview Lesson 21: Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles (Video Lesson) Lesson 22: Multiplying and Dividing Expressions with Radicals (Video Lesson) Lesson 23: Adding and Subtracting Expressions with Radicals (Video Lesson) Lesson 24: Prove the Pythagorean Theorem Using Similarity (Video Lesson)
Trigonometry Topic E Overview Lesson 25: Incredibly Useful Ratios (Video Lesson) Lesson 26: Definition of Sine, Cosine, and Tangent (Video Lesson) Lesson 27: Sine and Cosine of Complementary and Special Angles (Video Lesson) Lesson 28: Solving Problems Using Sine and Cosine (Video Lesson) Lesson 29: Applying Tangents (Video Lesson) Lesson 30: Trigonometry and the Pythagorean Theorem (Video Lesson) Lesson 31: Using Trigonometry to Determine Area (Video Lesson) Lesson 32: Using Trigonometry to Find Side Lengths of an Acute Triangle (Video Lesson) Lesson 33: Applying the Laws of Sines and Cosines (Video Lesson) Lesson 34: Unknown Angles (Video Lesson)

Topics and Objectives (Module 3)
Extending to Three Dimensions Module 3 Overview Topic A Overview Lesson 1: What Is Area? (Video Lesson) Lesson 2: Properties of Area (Video Lesson) Lesson 3: The Scaling Principle for Area (Video Lesson) Lesson 4: Proving the Area of a Disk (Video Lesson)
Volume Topic B Overview Lesson 5: Three-Dimensional Space (Video Lesson) Lesson 6: General Prisms and Cylinders and Their Cross-Sections (Video Lesson) Lesson 7: General Pyramids and Cones and Their Cross-Sections (Video Lesson) Lesson 8: Definition and Properties of Volume (Video Lesson) Lesson 9: Scaling Principle for Volumes (Video Lesson) Lesson 10: The Volume of Prisms and Cylinders and Cavalieri’s Principle (Video Lesson) Lesson 11: The Volume Formula of a Pyramid and Cone (Video Lesson) Lesson 12: The Volume Formula of a Sphere (Video Lesson) Lesson 13: How Do 3D Printers Work? (Video Lesson)

Topics and Objectives (Module 4)
Connecting Algebra and Geometry Through Coordinates Module 4 Overview Topic A Overview Lesson 1: Searching a Region in the Plane (Video Lesson) Lesson 2: Finding Systems of Inequalities That Describe Triangular and Rectangular Regions (Video Lesson) Lesson 3: Lines That Pass Through Regions (Video Lesson) Lesson 4: Designing a Search Robot to Find a Beacon (Video Lesson)
Perpendicular and Parallel Lines in the Cartesian Plane Topic B Overview Lesson 5: Criterion for Perpendicularity (Video Lesson) Lesson 6: Segments That Meet at Right Angles (Video Lesson) Lesson 7: Equations for Lines Using Normal Segments (Video Lesson) Lesson 8: Parallel and Perpendicular Lines (Video Lesson)
Perimeters and Areas of Polygonal Regions in the Cartesian Plane Topic C Overview Lesson 9: Perimeter and Area of Triangles in the Cartesian Plane (Video Lesson) Lesson 10: Perimeter and Area of Polygonal Regions in the Cartesian Plane (Video Lesson) Lesson 11: Perimeters and Areas of Polygonal Regions Defined by Systems of Inequalities (Video Lesson)
Partitioning and Extending Segments and Parameterization of Lines Topic D Overview Lesson 12: Dividing Segments Proportionately (Video Lesson) Lesson 13: Analytic Proofs of Theorems Previously Proved by Synthetic Means (Video Lesson) Lesson 14: Motion Along a Line—Search Robots Again (Video Lesson) Lesson 15: The Distance from a Point to a Line (Video Lesson)

Topics and Objectives (Module 5)
Circles With and Without Coordinates Module 5 Overview Topic A Overview Lesson 1: Thales’ Theorem (Video Lesson) Lesson 2: Circles, Chords, Diameters, and Their Relationships (Video Lesson) Lesson 3: Rectangles Inscribed in Circles (Video Lesson) Lesson 4: Experiments with Inscribed Angles (Video Lesson) Lesson 5: Inscribed Angle Theorem and Its Applications (Video Lesson) Lesson 6: Unknown Angle Problems with Inscribed Angles in Circles (Video Lesson)
Arcs and Sectors Topic B Overview Lesson 7: The Angle Measure of an Arc (Video Lesson) Lesson 8: Arcs and Chords (Video Lesson) Lesson 9: Arc Length and Areas of Sectors (Video Lesson) Lesson 10: Unknown Length and Area Problems (Video Lesson)
Secants and Tangents Topic C Overview Lesson 11: Properties of Tangents (Video Lesson) Lesson 12: Tangent Segments (Video Lesson) Lesson 13: The Inscribed Angle Alternate—A Tangent Angle (Video Lesson) Lesson 14: Secant Lines; Secant Lines That Meet Inside a Circle (Video Lesson) Lesson 15: Secant Angle Theorem, Exterior Case (Video Lesson) Lesson 16: Similar Triangles in Circle-Secant (or Circle-SecantTangent) Diagrams (Video Lesson)
Equations for Circles and Their Tangents Topic D Overview Lesson 17: Writing the Equation for a Circle (Video Lesson) Lesson 18: Recognizing Equations of Circles (Video Lesson) Lesson 19: Equations for Tangent Lines to Circles (Video Lesson)
Cyclic Quadrilaterals and Ptolemy’s Theorem Topic E Overview Lesson 20: Cyclic Quadrilaterals (Video Lesson) Lesson 21: Ptolemy’s Theorem (Video Lesson)

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