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The Pythagorean Theorem

Pythagorean theorem (Math 7)+ 
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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Visual Demonstration of the Py...

Pythagorean theorem (Math 7)+ 
Sketchpad 
Tool 

[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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Visual Demonstration of the Py...

Pythagorean theorem (Math 7)+ 
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...
More: lessons, discussions, ratings, reviews,...

Exploring Quadrilaterals

Quadrilateral properties (Math 7)+ 
Sketchpad 
Tool 

[0]

Students explore various types of quadrilaterals, investigating their properties and figuring out how the various shapes relate to each other. The link to the tool itself is to a zip file that cont...
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Exploring Quadrilaterals

Quadrilateral properties (Math 7)+ 
Sketchpad 
Activity 

[0]

Students explore various types of quadrilaterals, investigating their properties and figuring out how the various shapes relate to each other. The link to the activity itself is to a zip file that ...
More: lessons, discussions, ratings, reviews,...

Quadrilateral Exploration: Sha...

Quadrilateral properties (Math 7)+ 
Sketchpad 
Tool 

[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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Quadrilateral Exploration: Sha...

Quadrilateral properties (Math 7)+ 
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 ...
More: lessons, discussions, ratings, reviews,...

Quadrilaterals

Quadrilateral properties (Math 7)+ 
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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Quadrilaterals

Quadrilateral properties (Math 7)+ 
Sketchpad 
Tool 

[0]

Investigate the parallelogram, rectangle, square, rhombus, and isosceles trapezoid. Includes an activity in PDF format and a prepared sketch.
More: lessons, discussions, ratings, reviews,...

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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Dueling Pinwheels

Reflection (Geometry)+ 
Sketchpad 
Activity 

[0]

This contains construction directions for rotations, translation, and reflection, with questions to explore and a demonstration sketch to download at an introductory Sketchpad level.
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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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Diagonals of a Rhombus

Rhombus (Geometry) 
Sketchpad 
Activity 

[0]

A guided exploration, using Geometer's Sketchpad, of the construction and diagonals of a rhombus.
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Trapezoidal Accumulation

Riemann sums: L, R, and M. (Calculus)+ 
Sketchpad 
Tool 

[0]

This activity builds on the previous activity, One Type of Integral, by suggesting two more efficient ways of estimating the area under a curve (definite integral) than counting squares: adding the ar...
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LSRL, Residual Plots, Data Tra...

Scatterplots (Probability & Statistics)+ 
Sketchpad 
Tool 

[0]

Drag seven independent points on a scatterplot, or send them to predetermined arrangements, to enhance understanding of correlation and the implication of changes.
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Similarity

Similarity (Math 4)+ 
Sketchpad 
Tool 

[0]

This activity introduces students to the important ideas of similarity and congruence. Students create their own resizeable logos, which they then use to construct similar shapes. Students can contin...
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RooBooGoo

Symmetry (Math 3)+ 
Sketchpad 
Tool 

[0]

The idea of this activity is to introduce students to some of the basic transformational behaviors. The emphasis is less on properties than on relationships between objects that have been reflected, r...
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Funhouse Mirrors

Symmetry (Math 4)+ 
Sketchpad 
Tool 

[0]

A Geometer's Sketchpad tool for constructing distorted images that can be viewed undistorted with a cylindrical mirror. The file contains tabbed pages with several images, a grid for students to draw...
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Reflection and Rotation Symmet...

Symmetry (Math 6)+ 
Sketchpad 
Tool 

[0]

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 sketch and a pdf file of the...
More: lessons, discussions, ratings, reviews,...

Reflection and Rotation Symmet...

Symmetry (Math 6)+ 
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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Frieze Patterns

Symmetry (Math 7)+ 
Sketchpad 
Tool 

[0]

This is a starter sketch for use with the activity, "Constructing the Seven Frieze Patterns."
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Taylor and Maclaurin Polynomia...

Taylor polynomials (Calculus)+ 
Sketchpad 
Tool 

[0]

This Sketch allows the user to see the first ten Taylor (or Maclaurin) polynomials for a function.
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Exploring and Creating Tessell...

Tessellations (Math 7)+ 
Sketchpad 
Activity 

[0]

This activity has students explore and construct several different types of tessellations. The first part of the activity uses only regular polygons to create pure and semipure tessellations; therefo...
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Exploring Trigonometric Functi...

The Unit Circle (Trigonometry) 
Sketchpad 
Activity 

[1]

This activity has students geometrically construct and investigate the graphs of sine and cosine based upon the lengths of the sides of a reference triangle.
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Reflections over Two Intersect...

Transformations (Math 7)+ 
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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