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  • Plane Geometry
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
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
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)
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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
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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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Let's Face It
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In this math lesson, learners identify, describe, and construct the five regular ... More

In this math lesson, learners identify, describe, and construct the five regular polyhedra. Learners are introduced to the idea of three-dimensional figures by first reviewing polygons and regular tessellations. Comparisons are made between regular tessellations and five special polyhedra, the Platonic Solids. Using nets as blueprints, learners construct the polyhedra and record the number of faces, edges, and vertices of each. Finally, they identify a relationship between the number of faces, edges, and vertices (Euler's formula). 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
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Line
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An interactive applet and associated web page that demonstrate the definition of ... More

An interactive applet and associated web page that demonstrate the definition of a line. The applet presents two points and a line that passes through them extending to infinity in both directions. As the points a re dragged the line moves but it is never possible to reveal a line end. See also the entries for line segment and ray. 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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Line Segment
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An interactive applet and associated web page that demonstrate the definition of ... More

An interactive applet and associated web page that demonstrate the definition of a line segment. The applet presents two points and a line that links them. As the points are dragged the line moves accordingly. See also the entries for line and ray. 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
Line Segment definition (Coordinate Geometry)
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An interactive applet and associated web page that show the definition of ... More

An interactive applet and associated web page that show the definition of a line segment in coordinate geometry. The applet has two points that the user can drag. The two points define a line segment, one for each endpoint. The grid, axis pointers and coordinates can be turned on and off. The applet can be printed as it appears on the screen to make handouts. The web page has a full definition of a line segment when the coordinates of the points defining it are known, 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

More
Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Less
Linear Pair of Angles
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An interactive applet and associated web page that demonstrate a linear pair ... More

An interactive applet and associated web page that demonstrate a linear pair of angles. A pair of angles are shown and the user can drag the common side. It demonstrates that they a supplementary (add to 180 degrees) and have a common side. The angle measures can be turned off for class discussion. 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
Less
Linear function graph display
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An interactive applet that allows the user to graphically explore the properties ... More

An interactive applet that allows the user to graphically explore the properties of a linear functions. Specifically, it is designed to foster an intuitive understanding of the effects of changing the two coefficients in the function y=ax+b. The applet shows a large graph of a quadratic (ax + b) and has two slider controls, one each for the coefficients a and b. As the sliders are moved, the graph is redrawn in real time illustrating the effects of these variations. 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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Line bisector
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An interactive applet and associated web page that demonstrate a bisector of ... More

An interactive applet and associated web page that demonstrate a bisector of a line segment. The applet shows a fixed line segment and another line that bisects it. The second line's endpoints can be dragged, but the line adjusts itself so that it always bisects the fixed line. 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
Less
Line definition (Coordinate Geometry)
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An interactive applet and associated web page that show the definition of ... More

An interactive applet and associated web page that show the definition of a line in coordinate geometry. The applet has two points that the user can drag. The two points define a line, and the user can see how the line changes when the points are moved. The grid, axis pointers and coordinates can be turned on and off. The applet can be printed as it appears on the screen to make handouts. The web page has a full definition of a line when the coordinates of the points defining it are known, 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

More
Subject:
Geometry
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Less
Linking Length, Perimeter, Area, and Volume
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This sequence of four lessons is designed to help students to understand ... More

This sequence of four lessons is designed to help students to understand ratio, proportion, scale factor, and similarity. Using online activities, they compare the perimeter and area ratios of similar rectangles with various scale factors; work with scale factor and surface area of various rectangular prisms; explore the relationship between the volume of two similar rectangular prisms; and examine the connection between the surface area of two similar rectangular prisms. All instructions, needed links, and activity sheets are provided. Less

More
Subject:
Geometry
Numbers and Operations
Material Type:
Activities and Labs
Lesson Plans
Teaching and Learning Strategies
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Less
Locus
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A web page and interactive applet that illustrate the concept of locus. ... More

A web page and interactive applet that illustrate the concept of locus. The applet shows a model of the plane populated with a large number of points on a grid. Those points equidistant form a point are highlighted, forming a circle in this case. The user can drag the point and drag the distance, showing the circle moving and changing size. The text page has a description of the locus concept and links to other loci - a straight line and an ellipse. 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
Less
Look Into Infinity
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Learners use two mirrors to explore how images of images of images ... More

Learners use two mirrors to explore how images of images of images can repeat forever. This resource includes a light-ray diagram to help learners understand what they are seeing -- images appear to be grouped in pairs with a front side always facing a front side and a back side always facing a back side. Learners can assist in assembling the Infinity Mirror or use one that has been pre-assembled. Less

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Subject:
Life Science
Mathematics
Chemistry
Physics
Psychology
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
National Science Foundation
NEC Foundation of America
The Exploratorium
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