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Topic (Course) 
Technology 
Type 
$? 
Rating 

Composition of Transformations...

Transformations and symmetry (Geometry)+ 
Sketchpad 
Activity 

[2]

This "lab" contains seven "experiments" in which students perform different geometric transformations on an object to determine whether, or under what conditions, the transformations commute.
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Set Puzzles

Addition (Math 3)+ 
Sketchpad 
Tool 

[1]

Students use logical reasoning skills to determine what numbers go inside three different colored circles to create given sums. Students are informally introduced to the concept of sets.
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Mystery Sums 1

Addition (Math 4)+ 
Sketchpad 
Tool 

[1]

Students use logic and early algebra reasoning skills to find the secret numerical values of four letters.
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Law of Sines Ambiguous Case

Ambiguous Case (Trigonometry) 
Sketchpad 
Tool 

[1]

Use a Geometer's Sketchpad file to investigate the ambiguous case of the law of sines.
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Area of a Circle

Circles (Geometry) 
Sketchpad 
Tool 

[1]

This is a downloadable Geometer's Sketchpad file that illustrates the source of the area formula for a circle.
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Mellow Yellow: Interpreting Gr...

Equations and functions (Math 6)+ 
Sketchpad 
Tool 

[1]

Compare different representations of motion: a story, a position graph, and the motion itself. Create a graph that matches a story, or write a story to match a graph, and check either by watching Mell...
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The Geometer's Sketchpad

General (Math 3)+ 
Sketchpad 
Tool 
$ 
[1]

With a scope that spans the mathematics curriculum from middle school to college, The Geometer's Sketchpad brings a powerful dimension to the study of mathematics. Sketchpad is a dynamic geometry cons...
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Making a Kaleidoscope

Geometry in the plane (Math 3)+ 
Sketchpad 
Tool 

[1]

In this activity, students create their own Sketchpad kaleidoscopes. In the process, they learn about rotation and reflection, as well as gaining some skill using Sketchpad's transformation features.
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Properties of Kites

Kite (Geometry) 
Sketchpad 
Tool 

[1]

This is a one page activity that includes how to construct a kite on Sketchpad, along with a kite that is ready to be manipulated. The kite sketch is followed by 8 questions that lead the student to ...
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Jump Along

Operations with numbers (Math 3)+ 
Sketchpad 
Tool 

[1]

This activity involves a number line along which students observe consecutive jumps, controlling both the number of jumps and jump size. This sketch can be used to model basic questions involving the ...
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Cartesian Graphs and Polar Gra...

Polar Coordinates (Trigonometry)+ 
Sketchpad 
Tool 

[1]

Students compare rectangular graphs and polar graphs for functions of the form y = a sin(bx) and r = a sin(b?). Students analyze how the period and amplitude of a Cartesian graph correlate to featu...
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Transformations

Transformations (Math 7)+ 
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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A Min/Max Problem

Triangles (Geometry) 
Sketchpad 
Activity 

[1]

A guided exploration, using Geometer's Sketchpad, of the area of a triangle formed between two fixed rays, using a third ray with a movable end point.
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Exploring the Witch of Agnesi

asymptotes (PreCalculus)+ 
Sketchpad 
Activity 

[1]

This activity has students construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. Fermat studied this function in the seventeenth century.
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From Secant Lines to Tangent L...

limits (PreCalculus)+ 
Sketchpad 
Activity 

[1]

This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Here, students explore the relationship between the slopes of secant lines to a curve...
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Matrix Transformations

operations with matrices (PreCalculus) 
Sketchpad 
Tool 

[1]

Students perform elementary coordinate transformations using matrices and vector addition. The link to the tool itself is to a zip file that contains both the sketch and a pdf file of the correspo...
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Types of Triangles

Classify geometric objects (Math 3)+ 
Sketchpad 
Technology PoW 

[3]

Students use a GSP sketch or an interactive web page to drag and manipulate four triangles. They identify one of each type: scalene, isosceles, equilateral, and right.
NOTE: A free...
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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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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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Law of Sines Ambiguous Case

Ambiguous Case (Trigonometry) 
Sketchpad 
Activity 

[1]

Use a Geometer's Sketchpad file to investigate the ambiguous case of the law of sines.
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Instantaneous Rate of Change

As an instant. rate of change (Calculus) 
Sketchpad 
Tool 

[1]

Download this Sketchpad file to investigate instantaneous rate using a model of a door operated by a door closer. Students explore the graph of the door's angle as a function of time, and find the lim...
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Conic_Connections

Circles (Algebra II)+ 
Sketchpad 
Tool 

[1]

The user manipulates a plane and doublenapped cone to generate graphs and equations of conic sections. Eccentricity, foci, and directrices are also illustrated in both 2 and 3D.
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Areas of Regular Polygons and ...

Circles (Geometry)+ 
Sketchpad 
Tool 

[1]

Students manipulate the number of sides in a regular polygon, develop a formula relating the area and perimeter of the polygon, and use their result to develop a formula relating the circumference ...
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One Type of Integral

Interpretations & properties (Calculus) 
Sketchpad 
Tool 

[1]

Download this Sketchpad file to investigate the definite integral using a model of a car accelerating from rest. Students explore the graph of the car's speed as a function of time, and use Sketchpad'...
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Angles Formed by Parallel Line...

Intersecting, , & perp. (Math 6)+ 
Sketchpad 
Tool 

[1]

Students identify and measure corresponding angles, alternate interior angles, and alternate exterior angles, and determine which angles are congruent to each other. The link to the tool itself is ...
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