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  • Plane Geometry
Intersecting Chord Theorem
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An interactive applet and associated web page that demonstrate the 'Intersecting Chords' ... More

An interactive applet and associated web page that demonstrate the 'Intersecting Chords' Theorem. (When two chords intersect each other inside a circle, the products of their segments are equal.) The applet presents a circle with two chords. Each end of the chord can be dragged. As it being dragged a calculation continuously changes that shows that the products of their segment are in fact equal. The calculation can be turned off for class discussions. The text on the web page gives four different formulae for calculating the area, depending on the initial givens. 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. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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Intersecting Secant Theorem
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An interactive applet and associated web page that demonstrate the 'Intersecting Secants ... More

An interactive applet and associated web page that demonstrate the 'Intersecting Secants Theorem'. The applet shows a circle and two secant lines intersecting at a point outside the circle. The secant points and the external point are draggable. As you drag them the secant lines are redrawn and a realtime computation on the applet shows that the product of their segments are always the same. By dragging two secant points together, the Tangent-Secant Theorem is also demonstrated. 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. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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Intersecting straight lines. (Coordinate Geometry)
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An interactive applet and associated web page that show how to find ... More

An interactive applet and associated web page that show how to find the intersection of two straight lines, given the equation for each. The applet sows two lines defined by two pairs draggable points. As any point is dragged the equations for the lines are derived and the point of intersection calculated. The web page shows worked examples using various line slopes, equation forms and unusual conditions, such as one line being vertical. The grid, axis pointers and coordinates can be turned on and off. The equation display can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the concept of the equation of a line, a worked example and has links to other pages relating to coordinate geometry. 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. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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Introduction to Coordinate Geometry
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A web page that introduces the concepts behind coordinate geometry. Can be ... More

A web page that introduces the concepts behind coordinate geometry. Can be used as a reference for students to learn about the topic when away from class. Has links to other related pages that contain animated demonstrations. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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Inverted Foucault Pendulum
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In this demonstration, learners explore a variation of a Foucault pendulum, but ... More

In this demonstration, learners explore a variation of a Foucault pendulum, but upside down. This resource contains instructions on how to construct the device (the predecessor to the Foucault Pendulum) as well as how to demonstrate how it would move at various latitudes. Less

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Subject:
Mathematics
Algebra
Geometry
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Simulations
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Eric Muller
The Exploratorium
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Investigating Ice Worlds
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In this activity about the solar system, learners use various light sources ... More

In this activity about the solar system, learners use various light sources to examine ice with different components to understand how NASA studies planets and moons from space. This detailed lesson guide includes background information about distant ice worlds in the outer solar system, literature connections, instructions for a pre-activity demonstration, modified activities by age, tips, discussion questions, and resources. Less

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Subject:
Engineering
Education
Mathematics
Geometry
Astronomy
Chemistry
Oceanography
Physics
Material Type:
Activities and Labs
Data
Instructional Material
Lesson Plans
Simulations
Student Guide
Provider:
Johns Hopkins University
NASA
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway
NASA Wavelength
SMILE Pathway: Science and Math Activities in One Search
Author:
Carnegie Institution of Washington - Carnegie Academy for Science Education
NASA
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Investigating Sleep
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In this activity about sleep rhythms (on page 25 of the PDF), ... More

In this activity about sleep rhythms (on page 25 of the PDF), learners will investigate how changing the time they go to bed impacts their own sleep patterns. For one night, learners will go to bed one hour earlier than usual. They will observe and record any impacts that this change has on their abilities to fall asleep, and on their usual wake times the next morning. This lesson guide includes background information, setup and management tips, extensions and a handout. Less

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Subject:
Education
Life Science
Mathematics
Psychology
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Barbara Z. Tharp
Greg L. Vogt
Nancy P. Moreno
NASA
NSBRI
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Irregular Polygon
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An interactive applet and associated web page that show the behavior of ... More

An interactive applet and associated web page that show the behavior of irregular polygons. The applet shows initially an irregular convex polygon. All vertices are draggable and when dragged show that this has no effect on any other vertex. The polygon can be made regular, and the number of sides changed between 3 and 99. 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. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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Isosceles triangle
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An interactive applet and associated web page that demonstrate isosceles triangles (two ... More

An interactive applet and associated web page that demonstrate isosceles triangles (two sides the same length). The applet presents a triangle where the user can drag any vertex. As the vertex is dragged the others move automatically to keep the triangle isosceles. The angles are also updated continuously to show that the base angles are always congruent. 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. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Less
Isosceles triangle construction given base and altitude
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An interactive applet and associated web page that provide step-by-step animated instructions ... More

An interactive applet and associated web page that provide step-by-step animated instructions on how to construct an isosceles triangle with given base and altitude using only a compass and straightedge. The animation can be run either continuously like a video, or single stepped to allow classroom discussion and thought between steps. 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. Less

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Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Less
Isosceles triangle construction given base and a side
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An interactive applet and associated web page that provide step-by-step animated instructions ... More

An interactive applet and associated web page that provide step-by-step animated instructions on how to construct an isosceles triangle with given sides using only a compass and straightedge. The animation can be run either continuously like a video, or single stepped to allow classroom discussion and thought between steps. 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. Less

More
Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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It's a Perfect Fit
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In this three-part math activity, learners explore shapes. In part one, learners ... More

In this three-part math activity, learners explore shapes. In part one, learners identify, describe, and classify two-dimensional shapes. Learners use square tiles to duplicate shapes on a card, identify 2D shapes in the room, sort shapes according to their attributes, and use shapes to creature pictures and stories. In part two, learners experiment with pattern blocks and decorate paper bag vests with shapes and patterns. In part three, learners are introduced to three-dimensional shapes as they use Geoblocks to explore geometric concepts. Less

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Subject:
Education
Mathematics
Geometry
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
PBS
US Department of Education
Less
Japanese Floors: How Do I Cover Thee? Let Me Count the Ways
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In this activity, students are given the dimensions of a floor and ... More

In this activity, students are given the dimensions of a floor and those of a Japanese tatami mat. They are challenged to determine the maximum number of ways the mats can be arranged to cover the floor. This activity, part of the Figure This! collection of challenges emphasizing practical mathematics, explains the importance of geometric shapes to architects, pipe fitters, and biologists. Students are encouraged to begin the problem by sketching some arrangements that could cover the floor. The solution offers a diagram of eight potential arrangements. Related questions ask students to use the Fibonacci sequence to complete a table that shows how many arrangements could be used to cover floors of different areas. Answers to all questions and links to resources are included. Less

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Subject:
Mathematics
Geometry
Numbers and Operations
Material Type:
Activities and Labs
Homework and Assignments
Images and Illustrations
Instructional Material
Lesson Plans
Provider:
National Council of Teachers of Mathematics (NCTM)
Ohio State University College of Education and Human Ecology
Provider Set:
Figure This!
Middle School Portal: Math and Science Pathways (MSP2)
Author:
National Council of Teachers of Mathematics (NCTM)
Less
Kaleidoscope
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In this activity, learners build inexpensive kaleidoscopes using transparency paper and foil ... More

In this activity, learners build inexpensive kaleidoscopes using transparency paper and foil (instead of mirrors). Use this activity to introduce learners to concepts related to optics, light, mirrors, and geometry. Less

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Subject:
Engineering
Education
Life Science
Mathematics
Geometry
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Community Science Workshop Network
Oakland Discovery Centers
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Keyboard Cartoons
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In this online interactive, learners create simple animations. Learners select backgrounds, characters, ... More

In this online interactive, learners create simple animations. Learners select backgrounds, characters, character placement, and character size. Learners then position their character in up to 5 key frame positions and take a picture of each. The computer fills "in-between" those key frames, creating a smooth animation. This is a simplified version of the sort of computer animation software professional animators use to create animations. Less

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Subject:
Computer Science
Engineering
Education
Life Science
Mathematics
Physics
Material Type:
Activities and Labs
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
OMSI
Oregon Museum of Science and Industry
The Paul G. Allen Family Foundation
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Kite
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An interactive applet and associated web page that show the properties of ... More

An interactive applet and associated web page that show the properties of a kite, (a quadrilateral with two distinct pairs of equal adjacent sides). The applet shows a kite and the user can reshape it by dragging any vertex. The other vertices move automatically to ensure it always remains a kite. The web page lists the properties of the kite. 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. Less

More
Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
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Ladybug Spots
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In this art/science/math activity, young learners are introduced to the concept of ... More

In this art/science/math activity, young learners are introduced to the concept of symmetry in nature. Learners paint spots on one wing of a ladybug line drawing provided in the PDF, then fold their still-wet pictures in half to create matching spots on the ladybug's opposite wing. This activity can be combined with lessons on ladybugs and other insects, patterns in nature, or early math. Less

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Subject:
Life Science
Mathematics
Chemistry
Material Type:
Activities and Labs
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Lawrence Hall of Science
Less
Laser Jello
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In this activity, learners use gelatin as a lens to investigate the ... More

In this activity, learners use gelatin as a lens to investigate the properties of laser light. Learners can view total internal reflection of a beam of light and investigate angles of reflection and refraction. Using different colors of gelatin demonstrates its color filtering properties. Use this activity to help learners explore light reflection and refraction, wavelengths, color, and lenses. Less

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Subject:
Education
Life Science
Mathematics
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Provider:
Exploratorium
Science and Math Informal Learning Educators (SMILE)
Provider Set:
Exploratorium
SMILE Pathway: Science and Math Activities in One Search
Author:
California Department of Education
Heidi Strahm Black
National Science Foundation
NEC Foundation of America
The Exploratorium
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Launch It
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In this design challenge activity, learners use a balloon and other simple ... More

In this design challenge activity, learners use a balloon and other simple materials to design an air-powered rocket that can hit a distant target. Learners are encouraged to consider how rocket length, number of fins, additional weight and launch angle will affect travel distance. The associated leader's guide relates this challenge to NASA and lunar spacecraft. Less

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Subject:
Engineering
Education
Mathematics
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
NASA
National Science Foundation
WGBH
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Lesson 26: The Distance and Midpoint Formulas
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Remix and Share
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The lesson begins by associating the distance between two points with the ... More

The lesson begins by associating the distance between two points with the right triangle that may be formed by joining the points and extending horizontal and vertical lines through the points. This linking is generalized to derive the distance formula for any two points in the plane. The midpoint formula is then derived by taking the average of the coordinates of the two points. Using the distance formula, the equation for circle is derived and then examples follow for finding the equation of a given circle. Less

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Subject:
Education
Mathematics
Algebra
Geometry
Physics
Material Type:
Instructional Material
Lesson Plans
Provider:
NSDL Staff
Provider Set:
Developmental Mathematics Collection
Less