Geometry
Honors
Lisa Sypek
1.
The Language of Geometry
- The Coordinate
Plane
- Points, Lines,
and Planes
- Measures of
Segments
- Segment
Relationships
- Rays and Angles
- Classifying
Angles
- Pairs of Angles
- Right Angles and
Perpendicular Lines
2.
Reasoning and Introduction to Proof
- Inductive
Reasoning and Conjecturing
- If-Then
Statements, Converses, and Postulates
- Properties form
Algebra and Proof
- Two Column Proofs
3.
Parallels
- Parallels and
Transversals
- Using Parallel
Lines
- Proving Lines
Parallel
- Slopes of Lines
- Parallels and
Distance
4.
Congruent Triangles
- Classifying
Triangles
- Angle Measures in
Triangles
- Tests for
Congruent Triangles
- Isosceles
Triangles
5.
Applying Congruent Triangles
- Special Segments
in Triangles
- Right Triangles
- Indirect Proof
and Inequalities
- Inequalities for
Sides and Angles of a Triangle
- The Triangle
Inequality
- Inequalities in
Two Triangles
6.
Quadrilaterals
- Parallelograms
- Tests for
Parallelograms
- Rectangles
- Squares and
Rhombi
- Trapezoids
7.
Similarity
- Properties of
Proportions
- Applications of
Proportions
- Similar Polygons
- Similar Triangles
- Proportional
Parts
- Parts of Similar
Triangles
8.
Right Triangles and Trigonometry
- The Geometric
Mean
- The Pythagorean
Theorem
- Special Right
Triangles\
- Trigonometry
- Law of Sines
- Law of Cosines
9.
Circles
- Parts of a Circle
- Angles and Arcs
- Arcs and Chords
- Inscribed Angles
- Tangents
- Special Segments
in a Circle
10.
Polygons and Area
- Polygons and
Polyhedra
- Angles of
Polygons
- Area of
Parallelograms
- Area of
Triangles, Rhombi, and Trapezoids
- Area of Regular
Polygons
- Area and
Circumference of a Circle
- Geometric
Probability
- Polygons as
Networks
11.
Surface Area and Volume
- Exploring Surface
Area
- Surface Area of
Prisms and Cylinders
- Surface Area of
Pyramids and Cones
- Volume of Prisms
and Cylinders
- Volume of
Pyramids and Cones
- Surface Area and
Volume of Spheres
12.
More Coordinate Geometry
- Graphing Linear
Equations
- Writing Equations
of Lines
- Connections to
Algebra and Statistics
- Coordinate Proof
- Vectors
- Coordinates in
Space
13.
Loci and Transformations
- Locus
- Locus and Systems
of Equations
- Intersection of
Loci
- Mappings
- Reflections
- Translations
- Rotations
- Dilations
- Symmetry