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The Pythagorean Theorem

Pythagorean theorem (Geometry) 
Sketchpad 
Activity 

[0]

Students create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. These demonstrations are based on proofs by Bhaskara...
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Three Tangents to a Circle

Triangles (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration of a triangle formed by three tangents to a circle, and interrelations between its perimeter and the location of the tangents, using Geometer's Sketchpad.
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Transformations

Reflection (Geometry)+ 
Sketchpad 
Activity 

[1]

Investigate reflections, translations, glide reflections, dilations, rotations of 90, 180, 270 or any degree, and composition of reflections. Animations included on several pages. Usable at various ...
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Transformations Lab

Reflection (Geometry)+ 
Sketchpad 
Activity 

[0]

This activity involves students using Sketchpad to explore reflections, translations, glide reflections, and rotations; it includes reference to a java applet as well.
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Two Minimum Length Problems an...

Centers of triangles (Geometry)+ 
Sketchpad 
Activity 

[0]

A guided exploration of minimum distances from vertices of a triangle or quadrilateral to a point within the figure, using Geometer's Sketchpad.
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Visual Demonstration of the Py...

Pythagorean theorem (Geometry) 
Sketchpad 
Activity 

[0]

Students do a visual demonstration of the Pythagorean theorem based on Euclid’s proof. By shearing the squares on the sides of a right triangle, they create congruent shapes without changing...
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TI InterActive! Math for High ...

General (Geometry) 
TI Calculator 
Activity 

[0]

This workbook provides high school students with activities from algebra to calculus that use Texas Instruments software TI InterActive! TI InterActive! is software for the PC that combines a word pro...
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Calculate the Area of a Trapez...

Perimeter, area, and volume (Geometry) 
TI83/TI84 
Activity 

[1]

Stepbystep directions on how to use the Area Formulas App to calculate the area of a trapezoid.
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Exploring Mathematics with the...

General (Geometry) 
TI83/TI84 
Activity 

[0]

The activities in this book illustrate how the CellSheet Application can be used to investigate numerical data by using examples relevant to students, such as tracking their grades or calculating savi...
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Finding Your Way Around the TI...

General (Geometry) 
TI83/TI84 
Activity 

[1]

This Graphing Calculator website contains hundreds of examples of how to best use the graphing calculator with specific classroom examples. Unlike using a manual, teachers and students can see how to...
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Modeling Motion: High School M...

General (Geometry) 
TI83/TI84 
Activity 

[1]

This workbook provides high school students with "handson" motion activities using the Texas Instruments CalculatorBased Ranger (CBR). The CBR is a standalone motion data collection device that sen...
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"Picking" Your Way through Are...

Polygons (Geometry)+ 
TINspire 
Activity 

[0]

In this activity, students will discover Pick’s Theorem by ﬁnding the relationship between area and the number of boundary points and interior points of a lattice polygon.
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Combinations

Polygons (Geometry) 
TINspire 
Activity 

[0]

This activity introduces students to combinations. They derive the formula for the number of combinations of n objects taken r at a time by starting with a list of permutations and eliminating those t...
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Geometric Dartboards

Geometric probability (Geometry) 
TINspire 
Activity 

[0]

In this activity, students create a geometric dartboard where they will explore ﬁnding the theoretical and experimental probability of a “dart” hitting one of their shapes within the dartboard....
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Perpendicular Slopes

Coordinate geometry (Geometry)+ 
TINspire 
Activity 

[0]

In this activity, students investigate the “negative reciprocal” relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as th...
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The Art Gallery Problem

Angles (Geometry)+ 
TINspire 
Activity 

[0]

The question of where patrons should stand to enjoy the best view of a painting is one that art gallery curators must consider on a regular basis. For this activity, we will consider a painting that i...
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The Beach Race

Pythagorean theorem (Geometry)+ 
TINspire 
Activity 

[0]

In a beach race, contestants must swim to a point along the beach and then run to reach the ﬁnish line. Where should I aim to land on the beach so as to minimize my total time for the race? Stu...
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The Pythagorean Theoremand M...

Triangles (Geometry)+ 
TINspire 
Activity 

[0]

In this activity, students construct a triangle and ﬁnd all angle and side measures. They practice dragging the vertices to form certain types of triangles, and then they conﬁrm the Pyth...
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What's My Rule?

Cartesian plane (Geometry)+ 
TINspire 
Activity 

[0]

This activity encourages students to gain experience with the language of the Cartesian coordinate system. Each of the problems shows two points, z and w. Point z can be dragged, and point w moves in ...
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Buffon's Needle: An Analysis a...

Geometric probability (Geometry) 

Lesson Plan 

[0]

Buffon's Needle is one of the oldest problems in the field of geometrical probability. It was first stated in 1777. It involves dropping a needle on a lined sheet of paper and determining the probabil...
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Graphing and the Coordinate Pl...

Cartesian plane (Geometry) 
Calculator 
Lesson Plan 

[0]

This lesson is designed to introduce students to graphing ordered pairs of numbers on the coordinate plane.
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Archeology Problem

Chords (Geometry) 
Computer 
Lesson Plan 

[0]

This lesson/problem requires that students be able to construct chords to a circle and perpendicular lines in Geometer's Sketchpad.
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Coordinate Pictures

Cartesian plane (Geometry)+ 
Computer 
Lesson Plan 

[0]

This activity is an enhancement to an age old activity of students drawing a "dottodot" picture using coordinates on a coordinate plane. In this case, however, students will design a picture of thei...
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Exploring the Definition of Re...

Reflection (Geometry) 
Computer 
Lesson Plan 

[1]

This lesson provides directions for teaching the definition of reflection using Geometer's Sketchpad.
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Fixed Area of a Triangle

Triangles (Geometry) 
Computer 
Lesson Plan 

[0]

This lesson gives directions for teaching the fixed area of a triangle given a fixed base and height using Geometer's Sketchpad.
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