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Topic (Course) 
Technology 
Type 
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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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Curved Path

Measurement (Math 4)+ 
Sketchpad 
Tool 

[0]

The mathematical ideas developed in this activity consist in the iteration of linear units to measure a curved path. The process of constructing a path of a given length can be difficult, even for mid...
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Annie's Sketchpad activities

Modeling and applications (Geometry) 
Sketchpad 
Lesson Plan 

[0]

Here are some activities to help you learn more about using the different aspects of Geometer's Sketchpad. The examples include using action buttons and constructing script tools.
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Grouping I and II

Number sense (Math 1)+ 
Sketchpad 
Tool 

[0]

Grouping I: The goal of this activity is twofold. First, it introduces students to Sketchpad's most important tools and menu commands. Second, it helps students appreciate how grouping objec...
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Color by Numbers

Number theory (Math 3)+ 
Sketchpad 
Tool 

[0]

Students investigate patterns produced on a grid of numbers generated through addition and multiplication of the whole numbers. The focus is on elementary number theory concepts such as even/odd, fact...
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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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Exploring Geometric Constructi...

Parabolas (Algebra II)+ 
Sketchpad 
Activity 

[0]

This activity is an introduction to geometric constructions of parabolas. We will investigate their properties and characteristics. This activity has been adapted from the following article: Olmstead,...
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Parabolas: The Folded Rectangl...

Parabolas (Algebra II)+ 
Sketchpad 
Tool 

[0]

With just a blank sheet of paper and a single point, students can fold a genuine parabola. Students model the technique with Sketchpad to reveal the underlying mathematics. The link to the tool it...
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Parabolas: The Folded Rectangl...

Parabolas (Algebra II)+ 
Sketchpad 
Activity 

[0]

With just a blank sheet of paper and a single point, students can fold a genuine parabola. Students model the technique with Sketchpad to reveal the underlying mathematics. The link to the activit...
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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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Functions

Parent Functions (Algebra II)+ 
Sketchpad 
Activity 

[0]

Investigate constant, linear, quadratic, cubic, square root, cube root, absolute value, rational, natural log, and exponential functions. Parent functions and full form functions for modification are...
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Areas of Regular Polygons and ...

Pi (Geometry)+ 
Sketchpad 
Activity 

[0]

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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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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Cartesian Graphs and Polar Gra...

Polar Coordinates (Trigonometry)+ 
Sketchpad 
Activity 

[0]

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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Wait for a Date

Probability (Math 5)+ 
Sketchpad 
Tool 

[0]

Students use Sketchpad to simulate a probability problem and then calculate a precise probability by reasoning about their model. The link to the tool begins downloading the zip file WaitForADate....
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Wait for a Date

Probability (Math 5)+ 
Sketchpad 
Activity 

[1]

Students use Sketchpad to simulate a probability problem and then calculate a precise probability by reasoning about their model. The link to the activity itself is to a zip file that contains bo...
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A Dynamic Proof

Pythagorean theorem (Math 7)+ 
Sketchpad 
Tool 

[0]

Students create a sketch in which a dramatic animation shows how the sum of the areas of two squares is equal to the area of the third square. The link to the tool itself is to a zip file that co...
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A Dynamic Proof

Pythagorean theorem (Math 7)+ 
Sketchpad 
Activity 

[0]

Students create a sketch in which a dramatic animation shows how the sum of the areas of two squares is equal to the area of the third square. The link to the activity itself is to a zip file tha...
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A Right Triangle with Squares

Pythagorean theorem (Math 7)+ 
Sketchpad 
Activity 

[0]

Students make a square tool and use the tool to investigate the Pythagorean Theorem and its converse. The link to the activity itself is to a zip file that contains the activity in pdf format. ...
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Leonardo da Vinci's Proof

Pythagorean theorem (Math 7)+ 
Sketchpad 
Tool 

[0]

Students use reflection and rotation to build a sketch that demonstrates a famous proof by Leonardo. The link to the tool itself is to a zip file that contains both the sample sketch (designed to ...
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Leonardo da Vinci's Proof

Pythagorean theorem (Math 7)+ 
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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Pythagoras Plugged In: Proofs ...

Pythagorean theorem (Math 7)+ 
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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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,...

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