Course Topics

Textbook

Discovering Geometry (3rd edition) by Michael Serra

Supplementary Materials

Area of squares, set of problems

Grading Policy

Sections Covered

1.1 Building Blocks of Geometry
2.1 Inductive Reasoning
2.2 Deductive Reasoning
1.2 Poolroom Math
1.3 What's a Widget?
3.1 Duplicating Segments and Angles
2.5 Angle Relationships
2.6 Special Angles on Parallel Lines
3.5 Constructing Parallel Lines
1.4 Polygons
1.5 Triangles and Special Quadrilaterals
4.1 Triangle Sum Conjecture
5.1 Polygon Sum Conjecture
5.2 Exterior Angles of a Polygon
4.2 Properties of Special Triangles
4.3 Triangle Inequalities
4.4 Are There Congruence Shortcuts?
3.4 Constructing Angle Bisectors
4.5 Are There Other Congruence Shortcuts?
4.6 Corresponding Parts of Congruent Triangles
4.8 Proving Isosceles Triangle Conjectures
3.2 Constructing Perpendicular Bisectors
3.3 Constructing Perpendiculars to a Line
3.7 Constructing Points of Concurrency
3.8 The Centriod
5.3 Kite and Trapezoid Properties
5.5 Properties of Parallelograms
5.6 Properties of Special Parallelograms
1.6 Circles
6.1 Chord Properties
6.2 Tangent Properties
6.3 Arcs and Angles
6.4 Proving Circle Conjectures
6.5 The Circumference/Diameter Ratio
6.7 Arc Length
9.1 The Theorem of Pythagoras
9.2 The Converse of the Pythagorean Theorem
9.3 Two Special Right Triangles
7.1 Transformations and Symmetry
7.2 Properties of Isometries
7.3 Compositions of Transformations
8.1 Areas of Rectangles and Parallelograms
8.2 Areas of Triangles, Trapezoids, and Kites
8.4 Areas of Regular Polygons
8.5 Areas of Circles
10.1 The Geometry of Solids
1.8 Space Geometry
8.7 Surface Area
10.2 Volume of Prisms and Cylinders
10.3 Volume of Pyramids and Cones
10.5 Displacement and Density
10.6 Volume of a Sphere
10.7 Surface Area of a Sphere
11.1 Similar Polygons
11.2 Similar Triangles
11.4 Corresponding Parts of Similar Triangles
11.5 Proportions with Area and Volume
11.6 Proportional Segments Between Parallel Lines
5.4 Properties of Midsegments

Proofs are incorporated throughout the course.