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Resource Name |
Topic (Course) |
Technology |
Type |
$? |
Rating |
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Area of a Circle
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Circles (Geometry) |
Sketchpad |
Tool |
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[1]
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This is a downloadable Geometer's Sketchpad file that illustrates the source of the area formula for a circle.
More: lessons, discussions, ratings, reviews,...
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The Geometer's Sketchpad
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General (Math 3)+ |
Sketchpad |
Tool |
$ |
[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Making a Kaleidoscope
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Geometry in the plane (Math 3)+ |
Sketchpad |
Tool |
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[1]
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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.
More: lessons, discussions, ratings, reviews,...
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Properties of Kites
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Kite (Geometry) |
Sketchpad |
Tool |
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[1]
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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 ...
More: lessons, discussions, ratings, reviews,...
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Jump Along
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Operations with numbers (Math 3)+ |
Sketchpad |
Tool |
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[1]
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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 ...
More: lessons, discussions, ratings, reviews,...
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Cartesian Graphs and Polar Gra...
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Polar Coordinates (Trigonometry)+ |
Sketchpad |
Tool |
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[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Transformations
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Transformations (Math 7)+ |
Sketchpad |
Activity |
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[1]
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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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Exploring the Witch of Agnesi
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asymptotes (PreCalculus)+ |
Sketchpad |
Activity |
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[1]
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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.
More: lessons, discussions, ratings, reviews,...
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From Secant Lines to Tangent L...
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limits (PreCalculus)+ |
Sketchpad |
Activity |
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[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Matrix Transformations
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operations with matrices (PreCalculus) |
Sketchpad |
Tool |
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[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Types of Triangles
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Classify geometric objects (Math 3)+ |
Sketchpad |
Technology PoW |
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[3]
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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.
Students are invite...
More: lessons, discussions, ratings, reviews,...
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Properties of Parallel Lines
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Parallel (Geometry)+ |
Sketchpad |
Activity |
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[2]
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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...
More: lessons, discussions, ratings, reviews,...
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Reflection and Rotation Symmet...
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Symmetry (Math 6)+ |
Sketchpad |
Activity |
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[2]
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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...
More: lessons, discussions, ratings, reviews,...
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Law of Sines Ambiguous Case
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Ambiguous Case (Trigonometry) |
Sketchpad |
Activity |
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[1]
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Use a Geometer's Sketchpad file to investigate the ambiguous case of the law of sines.
More: lessons, discussions, ratings, reviews,...
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Instantaneous Rate of Change
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As an instant. rate of change (Calculus) |
Sketchpad |
Tool |
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[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Areas of Regular Polygons and ...
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Circles (Geometry)+ |
Sketchpad |
Tool |
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[1]
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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 ...
More: lessons, discussions, ratings, reviews,...
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One Type of Integral
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Interpretations & properties (Calculus) |
Sketchpad |
Tool |
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[1]
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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'...
More: lessons, discussions, ratings, reviews,...
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Functions
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linear (PreCalculus)+ |
Sketchpad |
Tool |
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[2]
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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...
More: lessons, discussions, ratings, reviews,...
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Proof as Systematization: Tria...
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Logic and proof (Geometry)+ |
Sketchpad |
Activity |
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[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Wait for a Date
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Probability (Math 5)+ |
Sketchpad |
Activity |
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[1]
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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...
More: lessons, discussions, ratings, reviews,...
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Exploring Trigonometric Functi...
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The Unit Circle (Trigonometry) |
Sketchpad |
Activity |
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[1]
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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.
More: lessons, discussions, ratings, reviews,...
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The Slope Game
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Find slope (Math 7)+ |
Sketchpad |
Activity |
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[1]
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Students use a two-player game to develop and refine their sense of the slopes of lines. The link to the activity itself is to a zip file that contains both the activity in pdf format and the corr...
More: lessons, discussions, ratings, reviews,...
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Exploring Algebra 1 with The G...
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Integers (Math 7)+ |
Sketchpad |
Activity |
$ |
[1]
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This collection of 56 activities compiled specifically for Algebra 1—including updated activities from Exploring Algebra with The Geometer's Sketchpad and many new ones—covers topics such as:
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Circles and Squares
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Algebra (Math 3)+ |
Sketchpad |
Tool |
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[0]
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Using arithmetic reasoning and logic, players try to determine the secret values of the square and circle in as few turns as possible.
More: lessons, discussions, ratings, reviews,...
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Balance
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Algebra (Math 4)+ |
Sketchpad |
Tool |
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[0]
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This sketch contains a collection of five different shapes: a star, square, circle, triangle, and diamond. The weight of these shapes can be compared by using the provided balance scale; simply drag o...
More: lessons, discussions, ratings, reviews,...
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