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On Teaching Math

Teach clearly. Engage deeply. Grow your impact.

Geometry That Builds Understanding

Help students discover patterns, justify relationships, and see math as something they can make sense of — one proof, construction, and transformation at a time.

📐 Geometry Units

📘 Unit 1: Geometric Foundations

Lay the groundwork with definitions, notation, logic, and measurement basics.

Reasoning • Definitions • Precision • Units

🔁 Unit 2: Transformations & Rigid Motion

Explore transformations, rigid motion, and how congruence emerges from movement.

Translations • Reflections • Rotations • Sequences

🟰 Unit 3: Congruence & Proof

Use triangle congruence to prove relationships and justify geometric claims.

SSS • SAS • ASA • AAS • Two-Column Proofs

📏 Unit 4: Parallel & Perpendicular Lines

Investigate angle relationships, constructions, and coordinate proofs with lines.

Alternate Angles • Transversals • Slope • Constructions

📐 Unit 5: Similarity & Right Triangle Trig

Use similarity to build proportional reasoning and introduce trigonometry.

AA • SSS • SAS • Trig Ratios • Right Triangles

🔷 Unit 6: Quadrilaterals & Polygons

Explore properties and proofs with parallelograms and polygons of all kinds.

Interior Angles • Properties • Coordinate Proofs

⚪ Unit 7: Circles

Dive into arcs, angles, chords, tangents, and constructions with circles.

Inscribed Angles • Radians • Circle Theorems

📊 Unit 8: Coordinate & Algebraic Geometry

Connect geometry and algebra through slope, distance, and coordinate proofs.

Midpoint • Distance • Equations of Circles • Coordinate Proof

📦 Unit 9: 3D Geometry & Modeling

Calculate volume, explore cross-sections, and model with real-world geometry.

Volume • Cross Sections • Design Problems • Applications