Unit 1: Geometry Beginnings

• Nets and Drawings for Visualizing Geometry
• Points, Lines and Planes
• Measuring Segments
• Measuring Angles
• Exploring Angle Pairs
• Midpoint and Distance in the Coordinate Plane

Unit 2: Geometric Reasoning

• Basic Constructions
• Patterns and Inductive Reasoning
• Conditional Statements
• Biconditionals and Definitions
• Deductive Reasoning
• Reasoning in Algebra and Geometry
• Proving Angles Congruent

Unit 3: Lines and Angles

• Lines and Angles
• Properties of Parallel Lines
• Proving Lines Parallel
• Parallel and Perpendicular Lines
• Parallel Lines and Triangles

Unit 4: Congruent Triangles

• Congruent Figures
• Triangle Congruence by SSS and SAS
• Triangle Congruence by ASA and AAS
• Using Corresponding Parts of Congruent Triangles
• Isosceles and Equilateral Triangles
• Congruence in Right Triangles
• Congruence in Overlapping Triangles

Unit 5: Relationships Within Triangles

• Mid-segments of Triangles
• Perpendicular and Angle Bisectors
• Bisectors in Triangles
• Medians and Altitudes
• Indirect Proof
• Inequalities in One Triangle
• Inequalities in Two Triangles

Unit 6: Right Triangles

• The Pythagorean Theorem and Its Converse
• Special Right Triangles
• Trigonometry
• Angles of Elevation and Depression
• Areas of Regular Polygons

Unit 7: Transformations

• Translations
• Reflections
• Rotations
• Compositions of Isometries
• Congruence Transformations

Unit 8: Similarity

• Similar Polygons
• Proving Triangles Similar
• Similarity in Right Triangles
• Proportions in Triangles
• Properties of Logarithms
• Dilations
• Similarity Transformations

Unit 9: Polygons and Quadrilaterals

• The Polygon Angle-Sum Theorems
• Properties of Parallelograms
• Proving That a Quadrilateral is a Parallelogram
• Properties of Rhombuses, Rectangles and Squares
• Conditions for Rhombuses, Rectangles and Squares
• Trapezoids and Kites
• Applying Coordinate Geometry
• Proofs Using Coordinate Geometry

Unit 10: Perimeter and Area

• Perimeter and Area in the Coordinate Plane
• Areas of Parallelograms and Triangles
• Areas of Trapezoids, Rhombuses, and Kites
• Polygons in the Coordinate Plane

Unit 11: Surface Area and Volume

• Surface Areas of Prisms and Cylinders
• Surface Areas of Pyramids and Cones
• Volumes of Prisms and Cylinders
• Volumes of Pyramids and Cones
• Surface Areas and Volumes of Spheres
• Areas and Volumes of Similar Solids

Unit 12: Circles

• Circles and Arcs
• Areas of Circles and Sectors
• Tangent Lines
• Chords and Arcs
• Inscribed Angles
• Angle Measures and Segment Lengths

Unit 13: Probability

• Experimental and Theoretical Probability
• Permutations and Combinations
• Compound Probability
• Probability Models
• Conditional Probability Formulas