First Semester
Unit 1: Introduction to Geometry
Building Blocks of Geometry
Vocabulary and Symbols
Algebra in Geometry
Unit 2: Reasoning in Geometry
Inductive Reasoning
Deductive Reasoning
Figurate Numbers
Unit 3: Tools of Geometry
Angle Relationships
Constructions
The Euler Line
Unit 4: Triangles
Triangle Properties
Triangle Inequalities
Triangle Congruency
Unit 5: Polygons
Angle Conjectures
Kites and Trapezoids
Midsegments
Parallelograms
Unit 6: Transformations
On a Coordinate Plane
Composition of Transformations
Second Semester
Unit 7: Circles
Chords and Tangents
Inscribed Angles
Circumference and Arc Lengths
Secants
Unit 8: Area
Regular Polygons
Circles
Surface Area
Unit 9: The Pythagorean Theorem
Simplify Radical Review
Special Right Triangles
Distance and Circle Equations
Space Diagonals
Unit 10: Volume
Prisms and Cylinders
Pyramids and Cones
Density and Displacement
Spheres
Unit 11: Similarity
Indirect Measurement
Proportions and Area
Proportions and Volume
Parallels and Proportions
Unit 12: Trigonometry
The Ratios
The Unit Circle
Law of Sines
Law of Cosines