Geometer's+Sketchpad

==**Geometer's Sketchpad for the Math Classroom **==

 **Introduction**

 This 3 hour professional development is designed to help high school teachers become familiar and comfortable with the Geometer's Sketchpad 5. We will point out uses and possible integrations of Geometer's Sketchpad. We will also collaborate on best practices when integrating this software.

 Geometer's Sketchpad 5 was installed on a selected number of student computers. It is an upgraded version of the program that offers transformable pictures, hot text, marker tool, and expanded algebra and geometric capabilities. It also has improved the display, integrated support and curriculum, and performance and usability. For more information on Sketchpad 5 updates see @http://www.keypress.com/x24763.xml.

** Professional Development Standards for This Training **

 * ISTE NETS 2008 for Teachers **

1. Facilitate and Inspire Student Learning and Creativity
 * Teachers use their knowledge of subject matter, teaching and learning, and technology to facilitate experiences that advance student learning, creativity, and innovation in both face-to-face and virtual environments. Teachers: **
 * a. promote, support, and model creative and innovative thinking and inventiveness. **
 * b. engage students in exploring real-world issues and solving authentic problems using digital tools and resources. **

3. Model Digital-Age Work and Learning
 * Teachers exhibit knowledge, skills, and work processes representative of an innovative professional in a global and digital society. Teachers: **
 * a. demonstrate fluency in technology systems and the transfer of current knowledge to new technologies and situations. **



 **Geometer's Sketchpad for the High School Math Classroom (Not Just for Geometry)**

 **Why use Geometer's Sketchpad?**  Geometer's Sketchpad is a tool used to build, model, demonstrate, and graph mathematical concepts. Sketchpad increases students' understand giving them a visual representation of many math concepts that are difficult to visualize. It enables dynamic demonstrations by animating figures and making real-time calculations as figures change. It allows for students to see relationships between geometry and algebra. It not only offers geometry interactivity but everything from basic math through Calculus.

[|Why Use Geometer's Sketchpad? Video]

**Relevancy**  Sketchpad allows students to visualize math concepts in ways that cannot be done on a two-dimensional sheet of paper. It also allows students to make discoveries by interacting with objects.

 **Some examples of relevant Sketchpad usage:**  Exploring properties of operations, coordinates, solving equations, lines of best fit, measures of central tendency, and graph interpretations.  Help students to understand the concept of slope, equations of lines, exponents, parabolas, and conics. <span style="font-family: Verdana,Geneva,sans-serif;"> Investigate sine, cosine, tangent, cosecant, secant, cotangent, sine inverse, cosine inverse, and tangent inverse function graphs. <span style="font-family: Verdana,Geneva,sans-serif;"> 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 present. <span style="font-family: Verdana,Geneva,sans-serif;">Using it as a manipulative, such as algebra tiles.

Video about Using Sketchpad in the Classroom
====**Algebra I example:** : A fun math game that’s good for solidifying your sense of slope. The game works best with a partner (this is how it’s described), but you can also play it alone if you hide the labels and cover the slope measurements before dragging the lines.====

<span style="font-family: 'Arial Black',Gadget,sans-serif;">Geometry example: : If you connect each vertex of a triangle with a trisection point on the opposite side, you'll form a second triangle within the first. We'll investigate a relationship between the two triangles.


 * Another Example**: [[file:RelationshipBtwSides_Area.gsp]]: Activity that shows relationships between the sides of a rectangle and the area of a rectangle.


 * Algebra Tile Example:** [[file:TilingInAFrame.zip]]: Activity that uses algebra tiles to multiply binomials.

//<span style="font-family: Verdana,Geneva,sans-serif;">**Example Lessons** //

//<span style="font-family: Verdana,Geneva,sans-serif;">**@http://sketchexchange.keypress.com/** //

<span style="font-family: 'Arial Black',Gadget,sans-serif;">**@http://keyonline.keypress.com/home**
<span style="font-family: Verdana,Geneva,sans-serif;">**Sketchpad Lesson Links**

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 * <span style="font-family: Verdana,Geneva,sans-serif;">http://www.dynamicgeometry.com/General_Resources/Links.html#Classroom%20Activities **=====

**<span style="font-family: Verdana,Geneva,sans-serif;">@http://sketchmad.ca/ **
<span style="font-family: Verdana,Geneva,sans-serif;"> **Tutorials**
 * <span style="font-family: Verdana,Geneva,sans-serif;">Two tutorials that walk through GSP 5: Tour 1, Tour 2**
 * <span style="font-family: Verdana,Geneva,sans-serif;"> @http://www.learner.org/courses/learningmath/geometry/session4/part_a/tutorial.html ****