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Instructor: Clint Smith Course: CP Geometry Course Description: This course is designed to teach
through various geometric investigations. Topics
include: Inductive
Reasoning, Building Blocks of Geometry, Using Tools of Geometry, Line
and Angle
Properties, Triangle Properties, Polygon Properties, Circles,
Transformations,
Area, Pythagorean Theorem, Volume, Similarity, Geometric Proofs,
Sequences of
Proofs. Assessment: Grades are based on: 20% in class work
30%
homework 50%
tests and projects Text: Discovering
Geometry: An Inductive Approach
Content: Inductive Reasoning Number Patterns Picture Patterns Finding the nth
Term Figurate Numbers Mathematical Modeling Introducing Geometry Building Blocks of Geometry Poolroom Math What is a Widget? Defining Line and Angle
Relationships Defining Polygons Defining Triangles Special Quadrilaterals Space Geometry A Picture Is Worth a
Thousand Words Using Tools of
Geometry Duplicating Segments and
Angles Constructing Perpendicular
Bisectors Constructing Perpendiculars Constructing Angle
Bisectors Constructing Parallel Lines Construction Problems Constructing Points of
Concurrency The Centroid Line and Angle
Properties Discovering Angle
Relationships Discovering Properties of
Parallel Lines Midpoint and Slope
Conjectures Slopes of Parallel and
Perpendicular Lines Equations of Lines Finding Intersections of
Lines Geometric Probability Triangle Properties Triangle Sum Conjecture Discovering Properties of
Isosceles Triangles Triangle Inequalities SSS, SAS, and SSA
Congruence Shortcuts? ASA, SAA, and AAA
Congruence Shortcuts? Flow-Chart Thinking Isosceles Triangles
Revisited Polygon Properties Polygon Sum Conjecture Exterior Angles of a
Polygon Discovering Kite and
Trapezoid Properties Discovering Properties of
Midsegments Discovering Properties of
Parallelograms Discovering Properties of
Special
Parallelograms Circles Defining Circles Discovering Chord
Properties Discovering Tangent
Properties Arcs and Angles The Circumference/Diameter
Ration Around the World Arc Length Area Areas of Rectangles and
Parallelograms Areas of Triangles,
Trapezoids,
and Kites Area Problems Areas of Regular Polygons Areas of Circles Surface Area Pythagorean Theorem The Theorem of Pythagoras Is the Converse True? Word Problems Two Special Right Triangles Multiples of Right
Triangles Distance in Coordinate
Geometry Circles and the Pythagorean
Theorem Volume Polyhedrons, Prisms, and
Pyramids Solids with Curved Surfaces Volume of Prisms and
Cylinders Volume of Pyramids and
Cones Volume Problems Displacement and Density Volume of a Sphere Area of a Sphere Similarity Ratio and Proportion Similarity Similar Triangles Indirect Measurement with
Similar Triangles Corresponding Parts of
Similar Triangles Proportions with Area and
Volume Proportional Segments by
Parallel Lines Trigonometry Trigonometric Ratios Problem Solving with Right
Triangles The Law of Sines The Law of Cosines Problem Solving with
Trigonometry Geometric Proof Premises of Geometry Postulates of Geometry Geometric Proofs Proving Angle Conjectures Linking Proofs About
Parallelograms Linking Proofs About
Parallel Lines Auxiliary Lines and
Overlapping Figures Sequences of Proofs From Conjecture to Proof Proving the Triangle Sum
Conjecture Proving Circle Conjectures Proving the Pythagorean
Theorem Indirect Geometric Proofs Proof with Coordinate
Geometry Midsegment Conjectures |