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Exterior Angles in a Polygon

Exterior (Geometry)+ 
Sketchpad 
Activity 

[0]

Students construct a pentagon with its exterior angles, measure the angles and find the sum. They then dilate the pentagon to look at the problem, and understand their result, in a new way. The lin...
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Geometry Activities for Middle...

Points and lines (Geometry)+ 
Sketchpad 
Activity 
$ 
[0]

These activities provide students with the opportunity to explore geometric concepts such as symmetry, transformations, and even fractal geometry in a way no other teaching tool can. The dynamic ca...
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Geometry Quickies #1

Triangles (Geometry)+ 
Sketchpad 
Activity 

[0]

The activity based around medians in this series may generate some questions. Here is a further exploration of the topics it raised, again with reference to Geometer's Sketchpad.
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Inscribed Triangles

Triangles (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration, using Geometer's Sketchpad, of a property of triangles inscribed in a circle.
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Intercepts of Lines and their ...

Line (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration, using Geometer's Sketchpad, of lines on the coordinate plane, and the relation of intercepts to linear equations.
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Kissing Circles

Circles (Geometry)+ 
Sketchpad 
Activity 

[0]

This guided exploration, using Geometer's Sketchpad, examines the properties of tangent circles ("osculating" or kissing circles).
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Leonardo da Vinci's Proof

Pythagorean theorem (Geometry) 
Sketchpad 
Activity 

[0]

Students use reflection and rotation to build a sketch that demonstrates a famous proof by Leonardo. The link to the activity itself is to a zip file that contains both the activity in pdf format ...
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Medians in a Triangle

Centers of triangles (Geometry) 
Sketchpad 
Activity 

[0]

Students discover various properties of the three medians of a triangle. The link to the activity itself is to a zip file that contains a pdf file of the activity.
This is a free sample a...
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Medians in a Triangle

Triangles (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration of medians in a triangle using Geometer's Sketchpad.
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Midpoint Quadrilaterals

Quadrilaterals (Geometry)+ 
Sketchpad 
Activity 

[0]

Students construct the midpoints of the sides of a quadrilateral, connect them to form the midpoint quadrilateral, and then discover interesting properties of the midpoint quadrilateral. The link t...
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Proof as Discovery: Kite Midpo...

Logic and proof (Geometry)+ 
Sketchpad 
Activity 

[0]

Students investigate and prove a property of kites, and use the proof to make a discovery about other quadrilaterals. The link to the activity itself is to a zip file that contains both the activi...
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Proof as Explanation: Distance...

Logic and proof (Geometry)+ 
Sketchpad 
Activity 

[0]

Students explore the sum of certain distances in an equilateral triangle, and develop a proof to explain their observations. The link to the activity itself is to a zip file that contains both the...
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Proof as Systematization: Tria...

Logic and proof (Geometry)+ 
Sketchpad 
Activity 

[1]

Students use Sketchpad to develop a proof for a result that was discovered and used (without proof) in an earlier activity. The link to the activity itself is to a zip file that contains both the a...
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Proof as Verification: Areas

Logic and proof (Geometry)+ 
Sketchpad 
Activity 

[0]

Students form a conjecture about the ratio of two areas in a quadrilateral, and use Sketchpad to search for a proof. In the process they verify or disprove their results for two different kinds of ...
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Properties of Parallel Lines

Parallel (Geometry)+ 
Sketchpad 
Activity 

[2]

Students discover relationships among the angles formed when parallel lines are intersected by a transversal. The link to the activity itself is to a zip file that contains a pdf file of the activi...
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Pythagoras Plugged In: Proofs ...

Pythagorean theorem (Geometry) 
Sketchpad 
Activity 
$ 
[0]

This book guides students through a variety of proofs and applications of the Pythagorean theorem. By constructing and dynamically manipulating figures, students visualize the theorem and gain insight...
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Quadrilateral Exploration: Sha...

Quadrilaterals (Geometry) 
Sketchpad 
Activity 

[0]

Students first use the seven "Quadrilateral Makers" (square maker, rhombus maker, rectangle maker, parallelogram maker, kite maker, trapezoid maker, and quadrilateral maker) to make a design of their ...
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Quadrilaterals

Quadrilaterals (Geometry)+ 
Sketchpad 
Activity 

[0]

Investigate the parallelogram, rectangle, square, rhombus, and isosceles trapezoid. Includes an activity in PDF format and a prepared sketch.
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Reflection and Rotation Symmet...

Reflection (Geometry)+ 
Sketchpad 
Activity 

[2]

Students test a variety of figures for symmetry by actually constructing reflections and rotations. The link to the tool itself is to a zip file that contains both the activity in pdf format and t...
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Reflections over Two Intersect...

Reflection (Geometry) 
Sketchpad 
Activity 

[0]

Students explore what happens when they reflect a figure over a line and then reflect the image over a second line that intersects the first. The link to the activity itself is to a zip file that c...
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Rethinking Proof with The Geom...

General (Geometry) 
Sketchpad 
Activity 
$ 
[0]

This book harnesses the power of Dynamic Geometry® to engage students in proving conjectures and thinking about proof in different ways. Rethinking Proof offers other motivations for pro...
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Shape Makers: Developing Geome...

Triangles (Geometry)+ 
Sketchpad 
Activity 
$ 
[0]

Author Michael Battista has built what he calls the Shape Makers computer microworld, a series of explorations in which students develop dynamic mental models for thinking about geometric shapes an...
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Simple Properties of Angle Bis...

Bisectors (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration using Geometer's Sketchpad of some properties of angle bisectors in a triangle.
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Standard Equation of a Line

Line (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration, using Geometer's Sketchpad, of the standard form of a linear equation.
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The Centroid of a Triangle

Triangles (Geometry)+ 
Sketchpad 
Activity 

[0]

An exploration using Geometer's Sketchpad of the centroid of a triangle, and the way it divides the larger triangle.
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