All resources in Sugar Valley Rural Charter School

30-60-90 triangle

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An interactive applet and associated web page that demonstrate the properties of a 30-60-90 triangle. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's angles remain 30 degrees, 60 degrees and 90 degrees The text on the page points out that the sides of a 30-60-90 triangle are always in the ratio of 1 : 2 : root 3 Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

3:4:5 triangle

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An interactive applet and associated web page that demonstrate the properties of a 3:4:5 triangle - one of the Pythagorean triples. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's side remain in the ration 3:4:5. The text on the page has an example of how the triangle can be used to measure a right angle on even large objects. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

45-45-90 triangle

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An interactive applet and associated web page that demonstrate the properties of a 45-45-90 isosceles right triangle. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's angles remain 45 degrees, 45 degrees and 90 degrees The text on the page points out that the sides of a 45-45-90 triangle are always in the ratio of 1 : 2 : root 2 Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

Triangles of a Polygon

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An interactive applet and associated web page that illustrate the triangles that can be drawn inside a polygon. The applet has a pentagon with the triangles drawn. The user can change the number of sides, and switch between regular / irregular. The vertices are draggable. The text on the page discusses the uses of these triangles. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

AAA Doesn't work

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An interactive applet and associated web page that shows that angle-angle-angle (AAA) is not enough to prove congruence. The applet shows two triangles, one of which can be dragged to resize it, showing that although they have the same angles they are not the same size and thus not congruent. The web page describes all this and has links to other related pages. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

AAS Congruent Triangles

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An interactive applet and associated web page that shows how triangles that have two angles and a non-included side the same must be congruent. The applet shows two triangles, one of which can be reshaped by dragging any vertex. The other changes to remain congruent to it and the two angles and non-included side are outlined in bold to show they are the same measure and are the elements being used to prove congruence. The web page describes all this and has links to other related pages. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

Robots on Ice

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Students learn about humankind’s search for life in outer space and how it connects to robotics and engineering. NASA is interested in sending exploratory missions to one of Jupiter’s moons, Europa, which requires a lot of preparatory research and development on Earth before it can happen. One robot currently being engineered as a proof of concept for a possible trip to explore Europa is the Icefin, which is an innovative robot that can explore under ice and in water, which are the believed conditions on Europa. This lesson provides students with intriguing information about far off (distance and time!) space missions and field robotics, and also sets up two associated robotics and arts integration activities to follow. The lesson can be used individually to provide new information to students, or as a precursor to the associated activities. A PowerPoint® presentation and worksheet are provided.

Material Type: Lesson

Authors: Anthony Spears, Ayanna Howard, Carrie Beth Rykowski

Solar Week Monday: Do the Activity - Do You See What I See?

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This is an online lesson associated with activities during Solar Week, a twice-yearly event in March and October during which classrooms are able to interact with scientists studying the Sun. This activity is scheduled to occur during Monday of Solar Week. The lesson introduces the concept of astronomical filters and their connections to imaging different objects in space. Learners will explore perceptions of images as seen using different colors of light, construct a filter wheel, and practice investigating various astronomical images using the filter wheel. This material was designed to highlight how filters are useful to astronomers and show how a real astronomical telescope uses filters to image the Sun. Outside of Solar Week, information, activities, and resources are archived and available online at any time.

Material Type: Activity/Lab, Lesson Plan