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2D Representations of 3D Objects
Rating

This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
2D Rotation Using Matrices
Conditions of Use:
Remix and Share
Rating

This Demonstration illustrates the concept of rotating a 2D polygon. The rotation matrix is displayed for the current angle. The default polygon is a square that you can modify.

Subject:
Geometry
Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Interactive
Simulation
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Mito Are and Valeria Antohe
Date Added:
09/04/2013
AAS Congruent Triangles
Conditions of Use:
Read the Fine Print
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
Date Added:
02/16/2011
A-CED Regular Tessellations of the plane
Conditions of Use:
No Strings Attached
Rating

This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

Subject:
Mathematics
Algebra
Geometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
Algebraic Equations, Inequalities, and Properties
Conditions of Use:
Read the Fine Print
Rating

This lesson is about trying to get students to make connections between ideas about equations, inequalities, and expressions. The lesson is designed to give students opportunities to use mathematical vocabulary for a purpose to describe, discuss, and work with these symbol strings.The idea is for students to start gathering global information by looking at the whole number string rather than thinking only about individual procedures or steps. Hopefully students will begin to see the symbol strings as mathematical objects with their own unique set of attributes. (7th Grade Math)

Subject:
Algebra
Numbers and Operations
Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Disston, Jacob
Date Added:
11/30/2011
تحلل ألفا
Conditions of Use:
قراءة النص المطبوع بخط رفيع
Rating

شاهد هروب جسيمات ألفا من نواة البولونيوم، مسببة تحلل ألفا المشعة. شاهد كيف أن عدد مرات التسوس العشوائي يرتبط بنصف العمر.

الموضوع:
Physical Science
نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Carl Wieman
Danielle Harlow
John Blanco
Kathy Perkins
Noah Podolefsky
Ron LeMaster
Sam McKagan
Wendy Adams
Date Added:
09/02/2012
Analyzing Congruence Proofs
Rating

This lesson unit is intended to help teachers assess how well students are able to: work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles; Identify and understand the significance of a counter-example; Prove, and evaluate proofs in a geometric context.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Angle Hunting
Conditions of Use:
Remix and Share
Rating

In this activity, learners use a hand-made protractor to measure angles they find in playground equipment. Learners will observe that angle measurements do not change with distance, because they are distance invariant, or constant. Note: The "Pocket Protractor" activity should be done ahead as a separate activity (see related resource), but a standard protractor can be used as a substitute.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Animal Populations
Conditions of Use:
No Strings Attached
Rating

In this task students have to interpret expressions involving two variables in the context of a real world situation. All given expressions can be interpreted as quantities that one might study when looking at two animal populations.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Ant and Elephant
Conditions of Use:
No Strings Attached
Rating

In this problem students are comparing a very small quantity with a very large quantity using the metric system. The metric system is especially convenient when comparing measurements using scientific notations since different units within the system are related by powers of ten.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Antarctic Food Web Game
Conditions of Use:
Read the Fine Print
Rating

In this interactive game adapted from the Bigelow Laboratory for Ocean Sciences, build a food web that illustrates the flow of energy in an Antarctic ecosystem and the relationships between predators and prey.

Subject:
Life Science
Ecology
Forestry and Agriculture
Material Type:
Activity/Lab
Interactive
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Teachers' Domain
Author:
National Science Foundation
WGBH Educational Foundation
Date Added:
08/09/2007
Ants versus humans
Conditions of Use:
No Strings Attached
Rating

This task requires students to work with very large and small values expressed both in scientific notation and in decimal notation (standard form). In addition, students need to convert units of mass.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/21/2012
Application of Derivatives
Conditions of Use:
Remix and Share
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
Date Added:
03/12/2012
Applying Angle Theorems
Rating

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Arabic Poetry: Guzzle a Ghazal!
Conditions of Use:
Read the Fine Print
Rating

The Bedouins of ancient Arabia and Persia made poetry a conversational art form. Several poetic forms developed from the participatory nature of tribal poetry. Today in most Arabic cultures, you may still experience public storytelling and spontaneous poetry challenges in the streets. The art of turning a rhyme into sly verbal sparring is considered a mark of intelligence and a badge of honor. Students will learn about the origins and structure of Arabic Poetry.

Subject:
Arts and Humanities
Literature
World Cultures
Material Type:
Activity/Lab
Lesson Plan
Reading
Provider:
National Endowment for the Humanities
Provider Set:
EDSITEment
Author:
Individual Authors
Date Added:
12/05/2011
Are Random Triangles Acute or Obtuse?
Conditions of Use:
Remix and Share
Rating

This learning video deals with a question of geometrical probability. A key idea presented is the fact that a linear equation in three dimensions produces a plane. The video focuses on random triangles that are defined by their three respective angles. These angles are chosen randomly subject to a constraint that they must sum to 180 degrees. An example of the types of in-class activities for between segments of the video is: Ask six students for numbers and make those numbers the coordinates x,y of three points. Then have the class try to figure out how to decide if the triangle with those corners is acute or obtuse.

Subject:
Geometry
Statistics and Probability
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Gilbert Strange
Date Added:
06/02/2012
Area and Perimeter
Conditions of Use:
Read the Fine Print
Rating

This lesson is based on the results of a performance task in which we realized that students' understanding of area and perimeter was mostly procedural. Therefore the purpose of this re-engagement lesson was to address student misconceptions and deepen student understanding of area and perimeter. The standards addressed in this lesson involve finding perimeter and area of various shapes, finding the perimeter when given a fixed area, and using a formula in a practical context. Challenges for our students included decoding the language in the problem and proving their thinking. (7th Grade Math)

Subject:
Mathematics
Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Villarin, Antoinette
Date Added:
11/30/2011
Arithmetic (AR)
Conditions of Use:
Read the Fine Print
Rating

Remember your multiplication tables? ... me neither. Brush up on your multiplication, division, and factoring skills with this exciting game. No calculators allowed!

Subject:
Mathematics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Trish Loeblein
Date Added:
05/02/2010
Arithmetic Workout
Conditions of Use:
No Strings Attached
Rating

Brush up on your multiplication, division, and factoring skills with this interactive multiplication chart. Three levels and timed or untimed options are available.

Subject:
Mathematics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Date Added:
11/05/2011
The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
Conditions of Use:
Remix and Share
Rating

The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

Subject:
Engineering
Algebra
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2015
The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
Conditions of Use:
Remix and Share
Rating

The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

Subject:
Engineering
Algebra
Numbers and Operations
Physics
Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2012
Astrophysics Science and Technology Project: Integrating Research and Education (ASPIRE)
Conditions of Use:
Read the Fine Print
Rating

The ASPIRE Lab is now one of the most innovative and interactive science education websites available on the Internet. You will find not only fun interactive labs, but well designed and produced curriculum content, created by teachers for teachers. The powerful combination of inquiry-based content, along with interactive, hands-on labs provides a powerful visualization tool for you and your students to use. Best of all, the ASPIRE Lab is free!

Subject:
Physics
Material Type:
Activity/Lab
Provider:
University of Utah
Provider Set:
ASPIRE
Date Added:
10/13/2005
Bacteria Populations
Conditions of Use:
No Strings Attached
Rating

This task provides a real world context for interpreting and solving exponential equations. There are two solutions provided for part (a). The first solution demonstrates how to deduce the conclusion by thinking in terms of the functions and their rates of change. The second approach illustrates a rigorous algebraic demonstration that the two populations can never be equal.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Balloons & Buoyancy (AR)
Conditions of Use:
Read the Fine Print
Rating

Experiment with a helium balloon, a hot air balloon, or a rigid sphere filled with different gases. Discover what makes some balloons float and others sink.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Kathy Perkins
Ron LeMaster
Date Added:
07/02/2009
البالونات والكهرباء الثابتة
Conditions of Use:
قراءة النص المطبوع بخط رفيع
Rating

لماذا يلتصق البالون بكنزتك؟ قم بفرك البالون بكنزتك, ثم دع البالون و ستجده يطير و يلتصق بالكنزة. شاهد الشحنات على الكنزة, على البالون, و على الجدار.

الموضوع:
الفيزياء
نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Sam Reid
Wendy Adams
Date Added:
07/02/2008
Bank Shot
Conditions of Use:
No Strings Attached
Rating

This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.

Subject:
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/21/2012
Baseball Fun: Percentages, Decimals, and Fractions
Conditions of Use:
Remix and Share
Rating

Students will learn the concepts behind fractions, decimals, and percents by using sports statistics found on baseball cards.

A lesson plan for grade 8 Mathematics.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
University of North Carolina at Chapel Hill School of Education
Provider Set:
LEARN NC Lesson Plans
Author:
Adrian Bustle
Date Added:
01/15/2003
"Baseketball"
Conditions of Use:
Remix and Share
Rating

This trick from Exploratorium physicist Paul Doherty lets you add together the bounces of two balls and send one ball flying. When we tried this trick on the Exploratorium's exhibit floor, we gathered a crowd of visitors who wanted to know what we were doing. We explained that we were engaged in serious scientific experimentation related to energy transfer. Some of them may have believed us. If you'd like to go into the physical calculations of this phenomenam, see the related resource "Bouncing Balls" - it's the same activity but with the math explained.

Subject:
Physics
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Paul Doherty
The Exploratorium
Date Added:
11/07/2012
Battery-Resistor Circuit
Conditions of Use:
No Strings Attached
Rating

Look inside a resistor to see how it works. Increase the battery voltage to make more electrons flow though the resistor. Increase the resistance to block the flow of electrons. Watch the current and resistor temperature change.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Sam Reid
Date Added:
11/20/2008
Battery Voltage (AR)
Conditions of Use:
Read the Fine Print
Rating

Look inside a battery to see how it works. Select the battery voltage and little stick figures move charges from one end of the battery to the other. A voltmeter tells you the resulting battery voltage.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Sam Reid
Date Added:
07/02/2008
البوارج
Rating

يستكشف هذا النشاط الخوارزميات الرئيسية التي يتم استخدامها كأساس للبحث عن أجهزة الكمبيوتر وذلك باستخدام أشكال مختلفة على لعبة حربية. يوضح هذا النشاط ثلاث طرق بحث للعثور على معلومات في البيانات: البحث الخطي، ثنائي البحث والثرم. كما يتضمن نشاط استهلالي اختياري وكذلك شريط فيديو يظهر مظاهرة مرح تتعلق بنفس المحتويات.

الموضوع:
علم الحاسوب
الهندسة
التعليم
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Game
Lesson Plan
محاكاة
Provider:
Computer Science Unplugged
Science and Math Informal Learning Educators (SMILE)
Provider Set:
Computer Science Unplugged
SMILE Pathway: Science and Math Activities in One Search
المؤلف:
Brian Mason Scientific and Technical Trust
Computer Science Unplugged
Google Inc.
Ian Witten
Jane McKenzie
Mike Fellows
Robyn Adams
Tim Bell
Date Added:
01/02/2002
Bernardo and Sylvia Play a Game
Conditions of Use:
No Strings Attached
Rating

This task presents a simple but mathematically interesting game whose solution is a challenging exercise in creating and reasoning with algebraic inequalities. The core of the task involves converting a verbal statement into a mathematical inequality in a context in which the inequality is not obviously presented, and then repeatedly using the inequality to deduce information about the structure of the game.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/21/2013
Braking Distance
Conditions of Use:
No Strings Attached
Rating

This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

Subject:
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012