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Mathematics Writing Prompts
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This is three examples of "Type III" documents that I have prepared for students to write about math. Our school uses the Collins system of writing, but these could be adapted to a variety of classroom settings. The topics could be middle school or early high school topics, and they are set up to allow students to indepedently express their knowledge of the given topics in short essay form.

In addition to the writing prompts, I have included a rubric that students use to peer-edit each others' rough drafts. Students then use this feedback form to make the necessary corrections and submit a subsequent final draft.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Date Added:
04/03/2013
Measuring Distances in the Milky Way
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CC BY-NC-SA
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The main aim of this lesson is to show students that distances may be determined without a meter stick—a concept fundamental to such measurements in astronomy. It introduces students to the main concepts behind the first rung of what astronomers call the distance ladder. The four main learning objectives are the following: 1) Explore, in practice, a means of measuring distances without what we most often consider the “direct” means: a meter stick; 2) Understand the limits of a method through the exploration of uncertainties; 3) Understand in the particular method used, the relationship between baseline and the accuracy of the measurement; and 4) Understand the astronomical applications and implications of the method and its limits. Students should be able to use trigonometry and know the relation between trigonometric functions and the triangle. A knowledge of derivatives is also needed to obtain the expression for the uncertainty on the distance measured. Students will need cardboard cut into disks. The number of disks is essentially equal to half the students in the class. Two straight drink straws and one pin per disk. Students will also need a protractor. The lesson should not take more than 50 minutes to complete if the students have the mathematical ability mentioned above. This lesson is complimentary to the BLOSSOMS lesson, "The Parallax Activity." The two lessons could be used sequentially - this one being more advanced - or they could be used separately.

Subject:
Astronomy
Physical Science
Physics
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
The Pythagorean Theorem: Geometry’s Most Elegant Theorem
Date Added:
02/17/2015
Measuring Distance with Sound Waves
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Educational Use
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Students learn about sound waves and use them to measure distances between objects. They explore how engineers incorporate ultrasound waves into medical sonogram devices and ocean sonar equipment. Students learn about properties, sources and applications of three types of sound waves, known as the infra-, audible- and ultra-sound frequency ranges. They use ultrasound waves to measure distances and understand how ultrasonic sensors are engineered.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Irina Igel
Date Added:
09/18/2014
Mint-Mobiles
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Educational Use
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Students design, build and test model race cars made from simple materials (lifesaver-shaped candies, plastic drinking straws, Popsicle sticks, index cards, tape) as a way to explore independent, dependent and control variables. They measure the changes in distance travelled with the addition of mass to the vehicles. Students also practice the steps of the engineering design process by brainstorming, planning, building, testing, and improving their "mint-mobiles."

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Lesley Herrmann
Stephanie Rivale
Date Added:
09/18/2014
OER-UCLouvain: DEFI-Distance : organiser mon cours à distance
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CC BY-NC-SA
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Relevez le Défi-Distance une case à la fois!
Un parcours qui traverses des questions et des thématiques permettant à un enseignant de proposer à ses étudiants des activités d’apprentissage à distance tout en observant l’alignement pédagogique et dépassant le défi technologique.

Cette infographie interactive propose des conseils pratiques et des repères pédagogiques en réponse aux questions des enseignant·es pour enseigner à distance.

Subject:
Education
Material Type:
Diagram/Illustration
Interactive
Module
Author:
Billat Etienne
Crasset Julie
De Clercq
Docq Fran Oise
Fizaine Gr Gory
Gossiaux S Verine
Jacqmot Christine
Lecoq Julie
Motte Isabelle
Raucent Beno T
Date Added:
04/03/2020
A Race to Motherboard
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Educational Use
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In this video from Cyberchase, the CyberSquad figures out how fast their broom must go so they can reach Motherboard before Wicked.

Subject:
Mathematics
Physical Science
Physics
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Author:
U.S. Department of Education
WNET
Date Added:
07/09/2008
Robotic Perimeter
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Educational Use
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Students learn and practice how to find the perimeter of a polygonal shape. Using a ruler, they measure model rooms made of construction paper walls. They learn about other tools, such as a robot, that can help them take measurements. Using a robot built from a LEGO® MINDSTORMS® NXT kit that has been programmed to move along a wall and output the length of that wall, students record measurements and compare the perimeter value found with the robot to the perimeter found using a ruler. In both cases, students sketch maps to the scale of the model room and label the measured lengths. A concluding discussion explores the ways in which using a robot may be advantageous or disadvantageous, and real-world applications.

Subject:
Applied Science
Engineering
Geoscience
Physical Science
Physics
Technology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Rezwana Uddin
Date Added:
09/18/2014
Scaling the Map
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Educational Use
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Students learn how to determine map distances and areas using the map scale. They get a feel for how much an area represents on the map in relation to the size they are suggesting for their underground caverns to shelter the Alabraska population.

Subject:
Applied Science
Engineering
Geoscience
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/18/2014
Street Lights as Standard Candles
Unrestricted Use
CC BY
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Street lights of the same type will look brighter when they are close to you, and less bright when they are farther away. The same applies to astronomical objects: a given star will look brighter to a nearby observer than to an observer far away. In both cases, the difference in brightness can be used to deduce the relative distances of suitable objects. Standard candles, objects of constant intrinsic brightness or whose intrinsic brightness can be determined by careful measurements, are a key tool for astronomical distance determination. In this exploration, you will explore standard candles (and also effects that complicate distance measurements) in a simple everyday setting, namely that of street lights, using a digital camera and freely available software.

Subject:
Astronomy
Physical Science
Material Type:
Activity/Lab
Lesson
Provider:
International Astronomical Union
Provider Set:
astroEDU
Author:
Markus Pössel
Date Added:
01/01/2016
Swiss Alps Emergency Sled Design
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Educational Use
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Students act as engineers to solve a hypothetical problem that has occurred in the Swiss Alps due to a seismic event. In research groups, students follow the steps of the engineering design process as teams compete to design and create small-size model sleds that can transport materials to people in distress who are living in the affected town. The sleds need to be able to carry various resources that the citizens need for survival as well as meet other design requirements. Students test their designs and make redesigns to improve their prototypes in order to achieve final working designs. Once the designs and final testing are complete, students create final technical reports.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Cynthia Dickman
Emma Cipriani
Shane Sullivan
Date Added:
11/13/2018
Timing a Speedbot!
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Educational Use
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Students strengthen their communicate skills about measurements by learning the meaning of base units and derived units, including speed one of the most common derived units (distance/time). Working in groups, students measure the time for LEGO MINDSTORMS(TM) NXT robots to move a certain distance. The robots are started and stopped via touch sensors and programmed to display the distance traveled. Using their collected data, students complete a worksheet to calculate the robots' (mean/average) speeds at given motor powers.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
James Cox
Sam Sangankar
Date Added:
09/18/2014
Trebuchet Launch
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Educational Use
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Students work as engineers to design and test trebuchets (in this case LEGO® MINDSTORMS® robots) that can launch objects. During the testing stage, they change one variable at a time to study its effect on the outcome of their designs. Specifically, they determine how far objects travel depending on their weights. As students learn about the different components of robot design and the specific function controls, they determine what design features are important for launching objects.

Subject:
Applied Science
Architecture and Design
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jennifer S. Haghpanah
Date Added:
09/18/2014
Trig River
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Educational Use
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Students learn about and use a right triangle to determine the width of a "pretend" river. Working in teams, they estimate of the width of the river, measure it and compare their results with classmates.

Subject:
Applied Science
Engineering
Mathematics
Trigonometry
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Penny Axelrad
Date Added:
09/26/2008
Vector Voyage!
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Educational Use
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In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing winds and currents.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Matt Lippis
Penny Axelrad
Date Added:
09/26/2008
Vertical Height of the Atmosphere
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This is a lesson about the vertical dimension of the atmosphere and includes four activities. Activity 1 Introduces concepts related to distance, including length and height and units of measurement. Students are asked to make comparisons of distances. In activity 2, students learn about the vertical profile of the atmosphere. They work with a graph and plot the heights of objects and the layers of the atmosphere: troposphere, stratosphere, mesosphere, thermosphere, and exosphere. In activity 3, students learn about other forms of visual displays using satellite imagery. They compare images of the same weather feature, a hurricane, using two different images from MODIS and CALIPSO. One image is looking down on the hurricane from space, the other looks through the hurricane to display a profile of the hurricane. Activity 4 reinforces the concept of the vertical nature of the atmosphere. Students will take a CALIPSO satellite image that shows a profile of the atmosphere and use this information to plot mountains and clouds on their own graph of the atmosphere. The recommended order for the activities is to complete the first two activities on day one, and the second two activities on day two. Each day will require approximately 1 to 1.5 hours.

Subject:
Applied Science
Atmospheric Science
Engineering
Geoscience
Mathematics
Physical Science
Physics
Technology
Material Type:
Activity/Lab
Data Set
Diagram/Illustration
Lesson Plan
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
11/05/2014
What Is a Motor? How Does a Rotation Sensor Work?
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Educational Use
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Students learn about electric motors and rotational sensors. They learn that motors convert electrical energy to mechanical energy and typically include rotational sensors to enable distance measuring. They also learn the basics about gear trains and gear ratios. Students create a basic program using the LEGO MINDSTORMS(TM) NXT interface to control a motor to move a small robot. Then, through a 10-minute mini-activity, they make measurements and observations to test a LEGO rotation sensor's ability to measure distance in rotations. This prepares them for the associated activity during which they calculate how many wheel rotations are needed to travel a distance. A PowerPoint® presentation, worksheet and pre/post quizzes are provided.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Nishant Sinha
Pranit Samarth
Satish S. Nair
Date Added:
09/18/2014
Wheeling It In!
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Educational Use
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In this open-ended design activity, students use everyday materials milk cartons, water bottles, pencils, straws, candy to build small-scale transportation devices. They incorporate the use two simple machines a wheel and axle, and a lever into their designs. Student pairs choose their materials and engineer solutions suitable to convey pyramid-building materials (small blocks of clay). They race their carts/trucks, measuring distance, time and weight; and then calculate speed.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Glen Sirakavit
Jacquelyn Sullivan
Lawrence E. Carlson
Luz Quiñónez
Malinda Schaefer Zarske
Date Added:
10/14/2015