Keywords: Plane Geometry (876)

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The Development of Spatial and Geometric Thinking: the Importance of Instruction.
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The Development of Spatial and Geometric Thinking: the Importance of Instruction.

This article helps educators answer questions about geometric thinking and the activities ... (more)

This article helps educators answer questions about geometric thinking and the activities that develop it. It outlines the 3 levels of thinking about shape and space and the 5 phases of activities known as the van Hiele model. The tangram puzzle provides a vehicle for describing these phases and the types of thinking students achieve in each one. The article concludes with a suggestion about followup activity. (less)

Subject:
Mathematics
Engineering
Education
Material Type:
Reference
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Jenni Way
Diagonals of a rectangle
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Diagonals of a rectangle

A web page and interactive applet show how to compute the length ... (more)

A web page and interactive applet show how to compute the length of the diagonals of a rectangle. A rectangle is shown that can be resized by dragging its vertices. As you drag, the diagonals are continuously recalculated. Text on the page explains calculation. For those who prefer it, in a formula that is given. 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 reference book project at http://www.mathopenref.com. (less)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Diagonals of a square
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Diagonals of a square

A web page and interactive applet show how to compute the length ... (more)

A web page and interactive applet show how to compute the length of the diagonals of a square. A square is shown that can be resized by dragging its vertices. As you drag, the diagonals are continuously recalculated. Text on the page explains calculation. For those who prefer it, in a formula that is given. 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 reference book project at http://www.mathopenref.com. (less)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Diameter of a circle
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Diameter of a circle

An interactive applet and associated web page that demonstrate the diameter of ... (more)

An interactive applet and associated web page that demonstrate the diameter of a circle. The applet shows a circle and a diameter line, the ends of which can be dragged to show that the diameter passes through the center and has a constant length regardless of where on the circle it is drawn. The web page has the circle-related formulae. 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)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Dicey Directions
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Dicey Directions

In this game, learners are stuck in a right turn only world! ... (more)

In this game, learners are stuck in a right turn only world! Learners take turns rolling a die and moving their game pieces along the lines of a grid to get "home," by only making right turns. This activity provides learners with an opportunity to think about the relative nature of directional terms such as right and left. This activity guide contains sample questions to ask, literary connections, extensions, and alignment to local and national standards. (less)

Subject:
Mathematics
Geoscience
Social Sciences
Education
Material Type:
Activities and Labs
Games
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
ExxonMobil
Dinosaur Interaction
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Dinosaur Interaction

In this activity, learners explore why animals, specifically dinosaurs, live in families. ... (more)

In this activity, learners explore why animals, specifically dinosaurs, live in families. Learners examine Dinosphere scenes (drawing of dinosaurs in groups) and sort the scenes by reasons the animals are living in groups. Then, learners glue together geometric shapes to create dinosaurs interacting in groups and families. This activity is featured on page 26 of the "Dinosphere" unit of study for K-2 learners. (less)

Subject:
Mathematics
Ecology
Forestry and Agriculture
Geoscience
Life Science
Social Sciences
Education
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:
Children's Museum of Indianapolis
Mary Fortney
Rick Crosslin
The Children's Museum of Indianapolis
Directions to Hen Rock
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Directions to Hen Rock

The CyberSquad has toŰ_í_ deal with angles and distances to locate a ... (more)

The CyberSquad has toŰ_í_ deal with angles and distances to locate a treasure chest in this video segment from Cyberchase. ***Access to Teacher's Domain content now requires free login to PBS Learning Media. (less)

Subject:
Mathematics and Statistics
Mathematics
Material Type:
Video Lectures
Provider:
PBS LearningMedia
PBS Learning Media
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Teachers' Domain
Author:
U.S. Department of Education
WNET
Discovering Perimeter And Area
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Discovering Perimeter And Area

This 3-lesson unit focuses students on the interplay of the measurements perimeter ... (more)

This 3-lesson unit focuses students on the interplay of the measurements perimeter and area. Lesson 1 gives examples of perimeter for a general polygon. Lesson 2 emphasizes the independence of each measure, and Lesson 3 has students layout a bedroom, calculating the measures overall and of the components. The unit includes six student resource sheets, including a summative assessment, and answer keys. (less)

Subject:
Mathematics
Education
Material Type:
Activities and Labs
Assessments
Instructional Material
Lesson Plans
Unit of Study
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Jobryna Dupree
Judy Sliko
Distance between points
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Distance between points

An interactive applet and associated web page that demonstrate how to find ... (more)

An interactive applet and associated web page that demonstrate how to find the distance between two points with given coordinates. The applet has two points on a Cartesian plane. As the user drags either point it continuously recalculates the distance between them. The distance is shown both on the plane and as a continuously changing formula. The grid, axis pointers and coordinates can be turned on and off. The distance calculation 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 point distance, 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)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Distance from a point to a line
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Distance from a point to a line

An interactive applet and associated web page that demonstrate how to find ... (more)

An interactive applet and associated web page that demonstrate how to find the perpendicular distance between a point and a line. The applet has a line with sliders that adjust its slope and intercept, and a draggable point. As the line is altered or the point dragged, the distance is recalculated. The page actually shows four ways to do it, with links to detail pages on each one. The grid and coordinates can be turned on and off. The distance calculation 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 concepts, 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)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Distance from a point to a line using trigonometry
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Distance from a point to a line using trigonometry

An interactive applet and associated web page that demonstrate how to find ... (more)

An interactive applet and associated web page that demonstrate how to find the perpendicular distance between a point and a line using trigonometry, given the coordinates of the point and the slope/intercept of the line. The applet has a line with sliders that adjust its slope and intercept, and a draggable point. As the line is altered or the point dragged, the distance is recalculated. The grid and coordinates can be turned on and off. The distance calculation 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 concepts, 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)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Distance from a point to a vertical or horizontal line
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Distance from a point to a vertical or horizontal line

An interactive applet and associated web page that demonstrate how to find ... (more)

An interactive applet and associated web page that demonstrate how to find the perpendicular distance between a point and a line that is either vertical or horizontal, given the coordinates of the point and the equation of the line. The user can set the orientation of the line and position, along with the location of the point. As the line is altered or the point dragged, the distance is recalculated. The grid and coordinates can be turned on and off. The distance calculation 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 concepts, 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)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Do Your Own Dig
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Do Your Own Dig

In this outdoor archaeology activity, learners use mathematical skills and scientific inquiry ... (more)

In this outdoor archaeology activity, learners use mathematical skills and scientific inquiry to generate and process information from their own excavation site. Learners use household materials to assemble a tool kit, set up a dig site, dig for and record artifacts, create Provenience Cards, photograph, bag and label findings, and analyze their observations. This activity includes tips for Dos and Don'ts. Adult supervision is recommended. (less)

Subject:
History, Law, Politics
Mathematics
Ecology
Forestry and Agriculture
Geoscience
Life Science
Social Sciences
Education
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:
American Museum of Natural History
Doce a la Vez
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Doce a la Vez

Jugando a este juego, los chicos desarrollan habilidades en νηrea, perν_metro, mν_ltiples, ... (more)

Jugando a este juego, los chicos desarrollan habilidades en νηrea, perν_metro, mν_ltiples, y factores. Tomen turnos para hacer rectνηngulos con 12 cuadrados en la cuadrν_cula. Intenten poner sus figuras en la cuadrν_cula de modo que bloquee al otro jugador. Tomen turnos hasta que no hay espacio para aν±adir otra figura. El jugador con el mayor nν_mero de figuras al final gana. Incluye variaciones mνηs fνηciles y mνηs difν_ciles. Disponible para descargar en formato pdf y en Inglν©s. (less)

Subject:
Mathematics
Education
Material Type:
Activities and Labs
Games
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
NSF
TERC
Dodecagon
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Dodecagon

A web page and interactive applet illustrating the properties of a dodecagon ... (more)

A web page and interactive applet illustrating the properties of a dodecagon (10 sided polygon). The applet shows a dodecagon where the user can drag any vertex to reshape it. User can see that the interior and exterior angles are constant in a regular dodecagon, but vary in an irregular version. Controls allow the display or hiding of the diagonals, and triangles within the dodecagon. The web page lists the properties of a dodecagon including interior angles, exterior angles, sum of exterior angles, area, number of diagonals and number of internal triangles. Links to pages with generalized properties of all polygons. 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)

Subject:
Mathematics and Statistics
Material Type:
Readings
Simulations
Provider:
Math Open Reference
Provider Set:
Math Open Reference
Author:
John Page
Does bigger perimeter mean bigger area?
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Does bigger perimeter mean bigger area?

This problem asks students to solve for and compare the dimensions and ... (more)

This problem asks students to solve for and compare the dimensions and perimeters of rectangles of equal area. Students are shown two rectangular formations made from nine congruent tiles. The activity includes links to a solution hint, the solution, related math questions, and additional resources. (less)

Subject:
Mathematics
Chemistry
Life Science
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
KnowNet Construction, Inc.
National Science Foundation (NSF)
U.S. Department of Education
Dots to Squares
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Dots to Squares

As learners play this strategy game, they develop understanding of squares, area, ... (more)

As learners play this strategy game, they develop understanding of squares, area, and perimeter. On each turn, a player draws a line between two dots next to each other on the grid. The game ends when until there is no more room. The player with the most squares wins. Available as a downloadable pdf and in Spanish. (less)

Subject:
Mathematics
Education
Material Type:
Activities and Labs
Games
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
NSF
TERC