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AAS Congruent Triangles
Conditions of Use:
Read the Fine Print
AAS Congruent Triangles
Rating

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.

Subject:
Geometry
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
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Alpha Decay (AR)
Conditions of Use:
Read the Fine Print
Alpha Decay (AR)
Rating

Watch alpha particles escape from a polonium nucleus, causing radioactive alpha decay. See how random decay times relate to the half life.

Subject:
Physical Science
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
John Blanco
Kathy Perkins
Noah Podolefsky
Perkins, Kathy
Ron LeMaster
Sam McKagan
Wendy Adams
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Application of Derivatives
Conditions of Use:
Remix and Share
Application of Derivatives
Rating

We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.

Subject:
Finance
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
MoreLess
Beginning Lesson on Coordinate Grids-First Quadrant
Conditions of Use:
Remix and Share
Beginning Lesson on Coordinate Grids-First Quadrant
Rating

Students will investigate the first quadrant of the Cartesian coordinate system. They will use online activities developed by Shodor.org to identify the coordinates of points, or plot specific points. Then students will progress to an activity where they direct a robot through a mine field laid out on the coordinate plane. Permission has been granted for the use of the materials as part of the workshop - "Interactivate Your Bored Math Students" by Shodor Education Foundation, Inc.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
University of North Carolina at Chapel Hill School of Education
Provider Set:
LEARN NC Lesson Plans
Author:
Bonnie Boaz
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The Broken Stick Experiment: Triangles, Random Numbers and Probability
Conditions of Use:
Remix and Share
The Broken Stick Experiment: Triangles, Random Numbers and Probability
Rating

This learning video is designed to develop critical thinking in students by encouraging them to work from basic principles to solve a puzzling mathematics problem that contains uncertainty. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.

Subject:
Measurement and Data
Material Type:
Lecture
Provider:
M.I.T.
Provider Set:
M.I.T. Blossoms
Author:
Richard C. Larson
MoreLess
Conductivity (AR)
Conditions of Use:
Read the Fine Print
Conductivity (AR)
Rating

Experiment with conductivity in metals, plastics and photoconductors. See why metals conduct and plastics don't, and why some materials conduct only when you shine a flashlight on them.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Adams, Wendy
McKagan, Sam
Perkins, Kathy
Reid, Sam
Wieman, Carl
MoreLess
Creating a Water Tank, Part II: "Selling the Tank"
Conditions of Use:
Read the Fine Print
Creating a Water Tank, Part II: "Selling the Tank"
Rating

Working in groups of 4-5 students will take the information, pictures and 3-D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.

Subject:
Geometry
Measurement and Data
Material Type:
Lesson Plan
Provider:
Alabama Learning Exchange (ALEX)
Provider Set:
ALEX
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Density (AR)
Conditions of Use:
Read the Fine Print
Density (AR)
Rating

Why do objects like wood float in water? Does it depend on size? Create a custom object to explore the effects of mass and volume on density. Can you discover the relationship? Use the scale to measure the mass of an object, then hold the object under water to measure its volume. Can you identify all the mystery objects?

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Adams, Wendy
Lancaster, Kelly
Loeblein, Patricia
Malley, Chris
Olson, Jonathan
Paulson, Archie
Perkins, Kathy
Podolefsky, Noah
Reid, Sam
Wieman, Carl
MoreLess
Double Wells and Covalent Bonds
Conditions of Use:
No Strings Attached
Double Wells and Covalent Bonds
Rating

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Kathy Perkins
Sam McKagan
MoreLess
Exploring a Complex Space-Filling Shape
Conditions of Use:
Remix and Share
Exploring a Complex Space-Filling Shape
Rating

In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star. Learners use pyramid patterns to assemble tri-pyramids and then tape eight tri-pyramids together to form a stellated rhombic dodecahedron. Learners also calculate the volume of the complex shape.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
MoreLess
Fabulous Fractals and Difference Equations
Conditions of Use:
Remix and Share
Fabulous Fractals and Difference Equations
Rating

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.

Subject:
Geometry
Material Type:
Lecture
Provider:
M.I.T.
Provider Set:
M.I.T. Blossoms
Author:
Laura Zager
MoreLess
Fabulous Fractals and Difference Equations
Conditions of Use:
Remix and Share
Fabulous Fractals and Difference Equations
Rating

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.

Subject:
Geometry
Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Laura Zager
MoreLess
Figure This! Math Challenges for Families
Conditions of Use:
Read the Fine Print
Figure This! Math Challenges for Families
Rating

This web site offers families, teachers, and tutors 80 mathematical challenges helpful for encouraging problem solving with students in grades 6 to 8. The math challenges focus on concepts and objects found in everyday life, such as how fast your heart beats, what shape container holds the most popcorn, and how much of me shows in a mirror. Each challenge contains an initial problem with a solution hint, a complete explanation of the answer, and additional problems related to the same challenge. Resources for further investigations are suggested as well. From the Printing the Challenges link on the homepage, PDF files are available for all 80 challenges in English, the first 15 challenges in Spanish, and the family resource materials in English and Spanish.

Subject:
Algebra
Geometry
Statistics and Probability
Material Type:
Activity/Lab
Homework/Assignment
Provider:
National Council of Teachers of Mathematics
Provider Set:
Figure This!
MoreLess
Friction (AR)
Conditions of Use:
Read the Fine Print
Friction (AR)
Rating

Learn how friction causes a material to heat up and melt. Rub two objects together and they heat up. When one reaches the melting temperature, particles break free as the material melts away. Arabic Language.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Adams, Wendy
Dubson, Michael
Gratny, Mindy
Harlow, Danielle
Wieman, Carl
MoreLess
Gas Properties
Conditions of Use:
No Strings Attached
Gas Properties
Rating

Pump gas molecules to a box and see what happens as you change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Jack Barbera
Kathy Perkins
Linda Koch
Michael Dubson
Ron LeMaster
MoreLess
Gas Properties (AR)
Conditions of Use:
Read the Fine Print
Gas Properties (AR)
Rating

Pump gas molecules to a box and see what happens as you change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Barbera, Jack
Dubson, Michael
Hjarlow, Danielle
Koch, Linda
LeMaster, Ron
Perkins, Kathy
Wieman, Carl
MoreLess