Discovering Geometry: An Investigative Approach

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2: Reasoning in Geometry

2.5: Angle Relationships

 Investigating Angle Theorems - Activity A
 Investigating Angle Theorems - Activity B

3: Using tools of Geometry

3.1: Duplicating Segments and Angles

 Constructing Congruent Segments and Angles

3.3: Constructing Perpendiculars to a Line

 Construct Parallel and Perpendicular Lines

3.5: Constructing Parallel Lines

 Construct Parallel and Perpendicular Lines

3.7: Constructing Points of Concurrency

 Concurrent Lines, Medians, and Altitudes

4: Discovering and proving Triangle Properties

4.1: Triangle Sum Conjecture

 Triangle Angle Sum - Activity A

4.2: Properties of Isosceles Triangles

 Isosceles and Equilateral Triangles

4.3: Triangle Inequalities

 Triangle Inequalities

4.4: Are There Congruence Shortcuts?

 Proving Triangles Congruent

4.5: Are There Other Congruence Shortcuts?

 Proving Triangles Congruent

4.8: Proving Special Triangle Conjectures

 Bisectors in Triangles
 Concurrent Lines, Medians, and Altitudes

5: Discovering and Proving Polygon Properties

5.1: Polygon Sum Conjecture

 Polygon Angle Sum - Activity A

5.3: Kite and Trapezoid Properties

 Classifying Quadrilaterals - Activity B

5.5: Properties of Parallelograms

 Parallelogram Conditions

5.6: Properties of Special Parallelograms

 Special Quadrilaterals

6: Discovering and Proving Circle Properties

6.2: Chord Properties

 Chords and Arcs

6.3: Arcs and Angles

 Inscribing Angles

6.5: The Circumference/Diameter Ratio

 Circle: Circumference and Area

7: Transformations and Tessellations

7.1: Transformations and Symmetry

 Reflections
 Rotations, Reflections and Translations
 Translations

8: Areas

8.1: Areas of Rectangles and Parallelograms

 Area of Parallelograms - Activity B
 Rectangle: Perimeter and Area

8.2: Areas of Triangles, trapezoids, and Kites

 Area of Parallelograms - Activity A

8.5: Areas of Circles

 Circle: Circumference and Area
 Perimeter, Circumference, and Area - Activity A

8.7: Surface Area

 Surface and Lateral Area of Prisms and Cylinders
 Surface and Lateral Area of Pyramids and Cones

9: The Pythagorean Theorem

9.1: The Theorem of Pythagoras

 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A

9.2: The Converse of the Pythagorean Theorem

 Pythagorean Theorem - Activity B

9.5: Distance in Coordinae Geometry

 Distance Formula - Activity A

10: Volume

10.2: Volume of Prisms and Cylinders

 Prisms and Cylinders - Activity B

10.3: Volume of Pyramids and Cones

 Pyramids and Cones - Activity B

10.5: Displacement and Density

 Archimedes' Principle
 Determining Density via Water Displacement

11: Similarity

11.1: Similar Polygons

 Dilations
 Similar Figures - Activity A
 Similar Polygons
 Similarity in Right Triangles

11.4: Corresponding Parts of Similar Triangles

 Perimeters and Areas of Similar Figures

11.5: Proportions with Area

 Perimeters and Areas of Similar Figures

Content correlation last revised: 3/30/2009