Geometry CP
Lisa Sypek & Susan Hebert
1.
An Overview of Geometry
- Shapes
- Exploring
Congruence and Similarity
- Exploring
Symmetry
- Exploring Measure
2.
Reasoning
- Exploring
Patterns
- The Structure of
Geometry
- Segment and Angle
Relationships
- Conditional
Statements
- Reasoning with
Properties from Algebra
- Deductive
Reasoning
3.
Lines in a Plane
- Exploring Lines
and Planes
- Connections to
Algebra
- Using Laws of
Logic
- Styles of Proofs
- Properties of
Parallel Lines
- Proving Lines are
Parallel
- Vectors
4.
Congruent Triangles
- Exploring
Congruent Triangles
- Angles of a
Triangle
- Proving that
Triangles are Congruent
- Isosceles and
Right Triangles
5.
Properties of Triangles
- Exploring Parts
of Triangles
- Special Segments
of a Triangle
- Midsegment
Theorem
- Inequalities of
Triangles
6.
Polygons
- Exploring
Polygons
- Angles of
Polygons
- Properties of
Parallelograms
- Proving
Quadrilaterals are Parallelograms
- Special
Parallelograms
- Trapezoids
- Congruence and
Kites
7.
Transformations: Revisiting Congruence
- Exploring Rigid
Motion in a Plane
- Reflections
- Rotations
- Translations
- Glide Reflections
and Compositions
8.
Similarity
- Exploring Ratio
and Proportion
- Similar Polygons
- Similar Triangles
- Proving that
Triangles are Similar
- Proportions in
Similar Triangles
- Dilations
9.
Right Triangles
- Exploring Right
Triangles
- The Pythagorean
Theorem
- The Converse of
the Pythagorean Theorem
- Special Right
Triangles
- Trigonometric
Ratios
10.
Circles
- Exploring Circles
- Properties of
Tangents
- Central Angles
and Arcs
- Arcs and Chords
- Inscribed Angles
- Other Angle
Relationships
- Equations of
Circles
11.
Planar Measurement
- Area and
Perimeter
- Areas of
Parallelograms and Triangles
- Areas of Other
Quadrilaterals
- Areas of Regular
Polygons
- Circumference and
Arc Length
- Areas of Circles
and Regions of Circles
- Areas of Similar
Polygons
12.
Space Measurement
- Solids
- 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
- Similar Solids
13.
Loci
- Loci in a Plane
- Loci in Space
- Loci and
Mathematical Models
Loci and Cross Sections