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The purpose of this task is to provide students with a multi-step problem involving volume and to give them a chance to discuss the difference between exact calculations and their meaning in a context.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Unrestricted Use
CC BY
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The PhET project at the University of Colorado creates "fun, interactive, research-based simulations of physical phenomena." This particular one deals with Beer's Law. "The thicker the glass, the darker the brew, the less the light that passes through." Make colorful concentrated and dilute solutions and explore how much light they absorb and transmit using a virtual spectrophotometer! The simulation is also paired with a teachers' guide and related resources from PhET. The simulation is also available in multiple languages.

Subject:
Chemistry
Physical Science
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Chris Malley
Emily B. Moore
Julia Chamberlain
Kathy Perkins
Kelly Lancaster
Date Added:
05/14/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this unit students will learn to find the perimeter and area of plane and composite figures, find the circumference and area of circles, Surface Area of Prisms and Cylinders, Volume of Prisms and Cylinders, Volume and Surface Area Applications.

Subject:
Education
Geometry
Mathematics
Material Type:
Activity/Lab
Assessment
Homework/Assignment
Lesson
Lesson Plan
Teaching/Learning Strategy
Unit of Study
Date Added:
08/08/2019
Read the Fine Print
Educational Use
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After learning, comparing and contrasting the steps of the engineering design process (EDP) and scientific method, students review the human skeletal system, including the major bones, bone types, bone functions and bone tissues, as well as other details about bone composition. Students then pair-read an article about bones and bone growth and compile their notes to summarize the article. Finally, students complete a homework assignment to review the major bones in the human body, preparing them for the associated activities in which they create and test prototype replacement bones with appropriate densities. Two PowerPoint(TM) presentations, pre-/post-test, handout and worksheet are provided.

Subject:
Anatomy/Physiology
Applied Science
Engineering
Life Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Carleigh Samson
Dua Chaker
Jeanne Hubelbank
Kristen Billiar
Michelle Gallagher
Terri Camesano
Date Added:
10/14/2015
Read the Fine Print
Educational Use
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Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things. Students then consider why consumer goods generally aren't packaged in cube-shaped boxes, even though they would require less material to produce and ultimately, less waste to discard. To display their findings, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. The activities involved provide valuable experience in problem solving with spatial-visual relationships.

Subject:
Applied Science
Engineering
Geometry
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Mary R. Hebrank
Date Added:
09/18/2014
Read the Fine Print
Educational Use
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To display the results from the previous activity, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. They problem solve and apply their understanding of see-saws and lever systems to create balanced mobiles.

Subject:
Applied Science
Engineering
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Mary R. Hebrank
Date Added:
10/14/2015
Read the Fine Print
Educational Use
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Student pairs are given 10 minutes to create the biggest box possible using one piece of construction paper. Teams use only scissors and tape to each construct a box and determine how much puffed rice it can hold. Then, to meet the challenge, they improve their designs to create bigger boxes. They plot the class data, comparing measured to calculated volumes for each box, seeing the mathematical relationship. They discuss how the concepts of volume and design iteration are important for engineers. Making 3-D shapes also supports the development of spatial visualization skills. This activity and its associated lesson and activity all employ volume and geometry to cultivate seeing patterns and understanding scale models, practices used in engineering design to analyze the effectiveness of proposed design solutions.

Subject:
Geometry
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Aaron Lamplugh
Maia Vadeen
Malinda Zarske
Nathan Coyle
Russell Anderson
Ryan Sullivan
Date Added:
02/07/2017
Unrestricted Use
CC BY
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When will objects float and when will they sink? Learn how buoyancy works with blocks. Arrows show the applied forces, and you can modify the properties of the blocks and the fluid.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Archie Paulson
Carl Wieman
Chris Malley
Jonathan Olson
Kathy Perkins
Kelly Lancaster
Noah Podolefsky
Sam Reid
Trish Loeblein
Wendy Adams
Date Added:
09/30/2010
Unrestricted Use
CC BY
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When will objects float and when will they sink? Learn how buoyancy works with blocks. Arrows show the applied forces, and you can modify the properties of the blocks and the fluid.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Archie Paulson
Carl Wieman
Chris Malley
Jonathan Olson
Kathy Perkins
Kelly Lancaster
Noah Podolefsky
Patricia Loblein
Sam Reid
Wendy Adams
Date Added:
10/01/2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this activity, learners burn a peanut, which produces a flame that can be used to boil away water and count the calories contained in the peanut. Learners use a formula to calculate the calories in a peanut and then differentiate between food calories and physicist calories as well as calories and joules.

Subject:
Physical Science
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Don Rathjen
Paul Doherty
The Exploratorium
Date Added:
10/31/2000
Conditional Remix & Share Permitted
CC BY-NC-SA
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This book is a "flexed" version of CK-12's Basic Geometry that aligns with College Access Geometry and contains embedded literacy supports. It covers the essentials of geometry for the high school student.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Fauteux, Michael
Zapata, Rosamaria
Date Added:
05/18/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/06/2009
Read the Fine Print
Educational Use
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After completing the associated lesson and its first associated activity, students are familiar with the 20 major bones in the human body knowing their locations and relative densities. When those bones break, lose their densities or are destroyed, we look to biomedical engineers to provide replacements. In this activity, student pairs are challenged to choose materials and create prototypes that could replace specific bones. They follow the steps of the engineering design process, researching, brainstorming, prototyping and testing to find bone replacement solutions. Specifically, they focus on identifying substances that when combined into a creative design might provide the same density (and thus strength and support) as their natural counterparts. After iterations to improve their designs, they present their bone alternative solutions to the rest of the class. They refer to the measured and calculated densities for fabricated human bones calculated in the previous activity, and conduct Internet research to learn the densities of given fabrication materials (or measure/calculate those densities if not found online).

Subject:
Anatomy/Physiology
Applied Science
Engineering
Life Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jeanne Hubelbank
Kristen Billiar
Michelle Gallagher
Terri Camesano
Date Added:
10/14/2015
Read the Fine Print
Educational Use
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Students observe Pascal's law, Archimedes' principle and the ideal gas law as a Cartesian diver moves within a closed system. The Cartesian diver is neutrally buoyant and begins to sink when an external pressure is applied to the closed system. A basic explanation and proof of this process is provided in this activity, and supplementary ideas for more extensive demonstrations and independent group activities are presented.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Emily Sappington
Mila Taylor
Date Added:
09/18/2014
Unrestricted Use
CC BY
Rating
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The purpose of this task is to use geometric and algebraic reasoning to model a real-life scenario. In particular, students are in several places (implicitly or explicitly) to reason as to when making approximations is reasonable and when to round, when to use equalities vs. inequalities, and the choice of units to work with (e.g., mm vs. cm).

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