Geometry

Unit 1 - Geometry Fundamentals

SOL AII.3a

* Vocabulary and Notation (1 day)

Lines, Segments, Rays, Angles, Angle Bisectors, Midpoint, Segment Bisectors, Perpendicular Bisectors, Parallel Lines, Congruent

* Midpoint and Endpoint (2 days)

* Distance (1 day)

* Constructing Congruent Segments (covered over 2 days as "mini lesson")

* Constructing Perpendicular Bisector (covered over 2 days as "mini lesson")

* Angles (6 days)

Naming, Identifying, Classifying, Angle Addition Postulate, Special Angle Pairs

* Constructing Congruent Angles (covered over 2 days as "mini lesson")

* Constructing Angle Bisectors (covered over 2 days as "mini lesson")


Unit 2 - Logic

SOL

* Conditional, Converse, Biconditional (1 day)

* Converse, Inverse, Contrapositive (1 day)

* Symbolic Form (1 day)

* Law of Detachment, Law of Syllogism, Law of Contrapositive (3 days)

* Introduction to Lateral Area, Surface Area and Volume, getting acquainted with the Geometry Formula Sheet (covered 1 Day as a "mini lesson")

* Lateral Area, Surface Area and Volume of Rectangular Prisms and Triangular Prisms (each shape is covered over 2 days as a "mini lesson")

Unit 3 - Slopes of Parallel/Perpendicular Lines and Transformations

SOL

* Slopes of Parallel and Perpendicular Lines (3 days)

* Constructing a Perpendicular Line to a Point on the Line (covered over 2 days as "mini lesson")

* Constructing a Perpendicular Line through a Point Not on a Line (covered over 2 days as "mini lesson")

* Constructing a Line Parallel to a given Line (covered over 2 days as "mini lesson")

* Transformations and Symmetry (5 days)

Unit 4 - Parallel Lines, Triangle Basics, and Triangle Inequalities

SOL

* Parallel Lines cut by a Transversal (4 day)

* Classifying Triangles, Triangle Angle-Sum Theorem, Isosceles and Equilateral Triangles (3 day)

* Triangle Inequalities (2 day)

* Cylinders, Cones, Pyramids and Spheres (each shape is covered over 2 days as "mini lesson")

Unit 5 - Congruency and Right Triangles

SOL

* Congruent Figures: SSS, SAS, ASA, AAS, HL, and Proofs (5 days)

* Pythagorean Theorem/Distance Formula/Is it a Right Angle? (2 days)

* Special Right Angles (2 days)

* Trigonometric Ratios (3 days)

Unit 6 - Quadrilaterals and Polygons

SOL

* Quadrilaterals (4 days)

* Polygons (4 days)

* Constructing an equilateral triangle, a square, and a regular hexagon inscribed in a circle (covered over 2 days as "mini lesson")

Unit 7 - Similarity and Three-Dimensional Similarity

SOL

* Similar Figures (1 day)

* Missing Values of Similar Figures (1 day)

* Proving Triangles Similar (1 day)

* Similarity of Three-Dimensional Figures (2 days)

Unit 8 - Circles

SOL

* Equation of a Circle (5 days)

* Arcs, Central Angles, and Inscribed Angles (2 days)

* Circumference and Arc Length (1 day)

* Area of a Circle and Area of a Sector of a Circle (1 day)

* Segments in Circles (1 day)

* Angles in Circles (1 day)

The remainder of the days will be used for SOL Review and Enrichment Activities.