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Math

This is a general collection of math resources.  It is a large collection, but you can use the fliters on the left side of the screen to filter down to the specific education level you are looking for.  (You are encouraged to filter by education level, not grade.

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Arc Length
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An interactive applet and associated web page that demonstrate the concept of arc length. The applet shows a circle with part of its circumference highlighted and the central angle shown. As the user drags either end of the arc it is redrawn and the calculation for arc length changes as you drag. The text on the web page gives the formula for calculating the arc length. 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Arc Peripheral Angle
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An interactive applet and associated web page that demonstrate the concept of the peripheral angle (inscribed angle) of an arc. This is the angle subtended at the circle circumference of an arc. The applet shows an arc with draggable end points and the angle it subtends at the circumference. It is seen that this angle is constant for a constant arc length. It shows also what happens when the vertex is inside the arc that subtends it The web page has links to other arc properties and a formula for the subtended angle for a given arc length. 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Arcademics - Math Games, Language Arts Games, and much more
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Arcademics make multiplayer educational games for students from K to eighth grade, from free math games to language games. Arcademics combines the excitement of video games with educational content to produce a high rate of learning through exciting, focused repetition that enables automaticity and fluency. All games can be played seamlessly on any device using the web browser for free.

Subject:
English Language Arts
Math
Material Type:
Activity/Lab
Game
Homework/Assignment
Author:
Arcademics
Date Added:
03/18/2020
Archimedes' Principle, Pascal's Law and Bernoulli's Principle
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Educational Use
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Students are introduced to Pascal's law, Archimedes' principle and Bernoulli's principle. Fundamental definitions, equations, practice problems and engineering applications are supplied. A PowerPoint® presentation, practice problems and grading rubric are provided.

Subject:
Math
Physics
Science
Material Type:
Lesson
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Emily Sappington
Mila Taylor
Date Added:
09/18/2014
Archimedes and the King's Crown
Unrestricted Use
CC BY
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The famous story of Archimedes running through the streets of Syracuse (in Sicily during the third century bc) shouting ''Eureka!!!'' (I have found it) reportedly occurred after he solved this problem. The problem combines the ideas of ratio and proportion within the context of density of matter.

Subject:
Math
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/04/2013
Are They Similar?
Unrestricted Use
CC BY
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In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations.

Subject:
Math
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Area Builder
Unrestricted Use
CC BY
Rating
0.0 stars

Create your own shapes using colorful blocks and explore the relationship between perimeter and area. Compare the area and perimeter of two shapes side-by-side. Challenge yourself in the game screen to build shapes or find the area of funky figures. Try to collect lots of stars!

Subject:
Math
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Amanda McGarry
Ariel Paul
Beth Stade
Bryce Gruneich
John Blanco
Karina Hensberry (lead)
Kathy Perkins
Date Added:
10/27/2023
Area and Perimeter of a square (Coordinate Geometry)
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An interactive applet and associated web page showing how to find the area and perimeter of a square from the coordinates of its vertices. The square can be either parallel to the axes or rotated. The grid and coordinates can be turned on and off. The area and perimeter 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 method for determining area and perimeter, 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area enclosed by a circle
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An interactive applet and associated web page that demonstrate the area of a circle. A circle is shown with a point on the circumference that can be dragged to resize the circle. As the circle is resized, the radius and the area computation is shown changing in real time. The radius and formula can be hidden 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area enclosed by an ellipse
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An interactive applet and associated web page that demonstrate the area of an ellipse. The major and minor axes can be dragged and the area is continuously recalculated. The ellipse has a grid inside it so that students can estimate the area and compare the result to the calculated one. The web page has the formula for the area calculation. The web page also has links to other pages defining the various properties of an ellipse and to some ellipse constructions. 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of a Kite
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An interactive applet and associated web page that deals with the area 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. As the vertices are dragged, the area is continuously recalculated and displayed. The kite is filled with a grid of unit squares so that the students can estimate the area. The on-screen calculation can be hidden until the estimates are done. The web page lists two different ways to compute the area of a 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of a circle segment
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An interactive applet and associated web page that demonstrate the area of a segment of a circle - a part of a circle cut off by a chord. The applet shows a circle and a segment of that circle, the ends of which can be dragged to resize the segment. As you drag the endpoints, the area is continuously recalculated. The calculation can be turned off for class discussions. The web page has the formula for the area. 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of an annulus
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A web page and interactive applet show how to compute the area of an annulus. Text on the page explains that the area is the overall area minus the area of the circular 'hole' in the center. For those who prefer it in a formula that is given. The user can resize the two circles defining the annulus and visually estimate the area from a unit grid drawn inside it. A companion page is Definition of an Annulus at http://www.mathopenref.com/annulus.html 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of a parallelogram. Definition and formula
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A web page and interactive applet showing the ways to calculate the area of a parallelogram. The user can drag the vertices of the parallelogram and the other points change automatically to ensure it remains a parallelogram. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area, which is continuously recomputed and displayed. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rhombus is reshaped with the mouse. A companion page is http://www.mathopenref.com/parallelogram.html showing the definition and properties of a parallelogram 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of a rectangle. Definition and formula
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A web page and interactive applet showing the ways to calculate the area of a rectangle. The user can drag the vertices of the rectangle and the other points change automatically to ensure it remains a rectangle. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rectangle is reshaped with the mouse. A companion page is http://www.mathopenref.com/rectangle.html showing the definition and properties of a rectangle 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of a square. Definition and formula
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An interactive applet and associated web page that demonstrate the area of a square. The applet shows a square with all vertices draggable. As you drag any one, the area id continuously calculated and shown on the applet. The square is filled with a unit grid to allow class estimation of area. The displayed calculation can be turned off. 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018
Area of a trapezoid. Definition and formula
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A web page and interactive applet showing the ways to calculate the area of a trapezoid. The user can drag the vertices of the trapezoid and the other points change automatically to ensure it remains a trapezoid. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the trapezoid is reshaped with the mouse. A companion page is http://www.mathopenref.com/trapezoid.html showing the definition and properties of a trapezoid. 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.

Subject:
Math
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
05/15/2018