https://www.educreations.com/lesson/view/3d-geometry/29389361/

NOTE: These are video notes! They are to be used AFTER instruction of these concepts or possibly as a precursor to the actual activities.

The link provided is a 27 minute video that I have used for notes with my 6th grade honors class. Obviously students shouldn't sit down and watch a 27 minute video all at once but it could be used in a part series as students are discovering these concepts in your class with actual activities.

I love Educreations because it's really easy to make a video, get a link that you can embed into any online classroom space, and a large portion of the storage space is free! YAY FREE!

Short Description:
An open textbook created to improve both teaching and learning vital concepts and techniques in multivariable calculus, one of the fundamental courses across the undergraduate curriculum in science and engineering. The goals of this resource are to help learners develop their geometric intuition about abstract and complex mathematical concepts (e.g., partial derivatives, multiple integrals, vector fields), and train them to make connections between concepts visually (e.g., connecting “vectors” in mathematics with “magnitude” and “direction” in physics) in order to more fully understand engineering, physics and mathematical problems (e.g., differential equations) in their subsequent STEM coursework.

Word Count: 7075

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3-D Mapping | Topography
By Dana Hoppe, Copyright 2018 by Dana Hoppe under Creative Commons Non-Commercial License. Individuals and organizations may copy, reproduce, distribute, and perform this work and alter or remix this work for non-commercial purposes only.

Download: 3-D_MappingTopography.pdfDelete

Topography - Design Challenge
Introduction - Expanded learning opportunities (ELOs) have the potential to be the great equalizer in American education. Regular participation in high quality before and afterschool learning, and enriching summer school programs have been shown to help low-income students succeed academically on par with their more affluent peers. These programs, characterized by strong school-community partnerships, can also help high-performing students stay engaged and achieve even greater levels of understanding. In short, high-quality ELOs are for everyone - and the benefits they create are critical to Nebraska's future economy. - Beyond School Bells I would like to thank Beyond School Bells as well as Nebraska Innovation Studio for providing me with the opportunity, resources, and encouragement to develop this program as an Innovation Fellow. Their willingness to give the intellectual and creative freedom to build upon my ideas and inspirations is what enabled this program to exist. I strongly believe that opportunities such as the Innovation Fellowship are planting the seeds for Nebraska's future. -Dana Hoppe, Program Creator

Concept and Purpose - Interdisciplinary Learning: This program is focused on developing fundamental STEM skills through interdisciplinary learning. The truth is that all areas of study overlap significantly in one way or another, and the cognitive skills that lead to success in one area surely extend to other areas. A recurring theme I have noticed through my personal experience of being and artist as well as a scientist is that I have heavily utilized my creative thinking abilities to solve challenging problems. Imagination and creativity, when combined with background knowledge and understanding, allow us to find solutions that often lie beyond the rigid structure often associated with mathematics and the sciences. Once we begin to see the overlap between these areas, we begin building bridges between them and new ideas and applications emerge from a formerly empty space. The concept of topography was always interesting to me. The strangeness of being able to discern the shape of the land simply from the distance between a hypnotizing assortment of lines on a flat piece of paper was immediately intriguing. How does this flat sheet of abstract shapes translate to the three-dimensional complexity of a mountain, a valley, or a bluff? Topography is the platform of this program because it is a very versatile concept and can be used to create art and models representing a diverse range of fields. The activities in this program focus on having the students follow processes often found in Computer Science. Every process they complete can be thought of as an algorithm, and when they repeat steps, it can be thought of as a loop. They are also recursively calling the same function on each resulting piece they create, mimicking the concept of dynamic programing. The permutation matrix activities will familiarize students with moving through the data in a matrix and adding data to stacks. While they are doing all of these activities, however, there will be no jargon they have to learn, and they will probably not even realize until they take their first Computer Science course that it is even related. To the students, they will simply be creating art in a new and interesting way.

This workshop covers the basics of 3D modelling in Processing. From the 3D coordinate system, placing different shapes, surfaces, and camera angles. This introductory workshop is suitable for all students with some basic Processing knowledge. We assume that you are familiar with 2D shapes in Processing,  including pushMatrix, rotate and translate. This workshop will only cover basics, sufficient to create a landscape with 3D objects and a moving object. 

Play-Doh model of a geologic map

Provenance: Carol Ormand Ph.D., Carleton College
Reuse: This item is offered under a Creative Commons Attribution-NonCommercial-ShareAlike license http://creativecommons.org/licenses/by-nc-sa/3.0/ You may reuse this item for non-commercial purposes as long as you provide attribution and offer any derivative works under a similar license.
Students analyze a geologic map of an angular unconformity that truncates a pair of dikes, with some topography. When students have deciphered the map and constructed a cross-section, I show them a Play-Doh model of the geology and ask them to compare it to their mental model of the area.

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Students see firsthand that stars and constellations are not arranged in a flat, 2-D pattern in this Moveable Museum unit. The five-page PDF guide includes suggested general background readings for educators, activity notes, step-by-step directions, and a Big Dipper map. Students make their own 3-D models of the Big Dipper using readily available materials and examine their models, observing the 3-D constellation from new perspectives.

Using a 3 D printer to model the printing of a mathematical object. Continueing on to calculate the volume of material used and total cost if the item based on this volume.

Make a 3D printed bracelet holder using files from Thingiverse, Cura, and a Lulzbot Mini 2 printer

Step by step instructions to print numbered dice for games using a 3D printer and TinkerCad design.

Create 3D printed components for a vegetable/fruit STEM racer!

From the article:

"These 3D printed STEM race cars are the perfect project based learning tool to help teachers get kids excited about science, technology, engineering, math, and nutrition to boot! The racers I show you how to make in this instructable will provide an opportunity to turn almost anything (no kittens or other live things please) into a race car – allowing different sized and weighted objects to illustrate mechanical physics concepts like mass, friction, force, speed, distance, and gravity!"

Design and create your own custom, 3D printed zipper pull! This project utilizes Tinkercad and some simple tools.

Students learn how 3D printing, also known as additive manufacturing, is revolutionizing the manufacturing process. First, students learn what considerations to make in the engineering design process to print an object with quality and to scale. Students learn the basic principles of how a computer-aided design (CAD) model is converted to a series of data points then turned into a program that operates the 3D printer. The activity takes students through a step-by-step process on how a computer can control a manufacturing process through defined data points. Within this activity, students also learn how to program using basic G-code to create a wireframe 3D shapes that can be read by a 3D printer or computer numerical control (CNC) machine.

These are step by step tutorial handouts for using a Flex Mendel or flexMendel open source 3D printer.  There are matching videos located on YouTube at:https://www.youtube.com/playlist?list=PLYZc2FR9EwWYF16SVbPzijWCRbMGpE38uandhttps://www.youtube.com/playlist?list=PLYZc2FR9EwWY7tOr0E_ncfZDYmR3NyQfo

Make cool wall art using a 3D printer. Use themes such as superheroes, space, fantasy, holidays, etc.

This guide takes the reader through the 3D Printing for Repair (3DP4R) process. It consists of guidelines and tools to create a 3D printable version of spare parts needed for a product repair. 3D printing a spare part is more than just printing the original part. Instead, it is an iterative process in which the part is analysed, redesigned, manufactured, and tested, in order to come to a final part. This guide will describe these four phases in detail. The guide is meant for anybody who is interested in trying to manufacture spare parts with 3D printing technologies, remakers, tinkerers, volunteer repairers, professional repairers, and everyone who is interested in repair initiatives.

A Beginner’s Guide for Teachers

Short Description:
This book is for math teachers with little to no experience with 3D printing who would like to incorporate it into their classroom.

Long Description:
This book is for math teachers with little to no experience with 3D printing who would like to incorporate it into their classroom. Included are reasons why 3D printing is useful in a classroom, logistics of how 3D printing works, example activities for all grade levels, and ways for teachers to think of their own activities.

Word Count: 17468

(Note: This resource's metadata has been created automatically as part of a bulk import process by reformatting and/or combining the information that the author initially provided. As a result, there may be errors in formatting.)

As a whole group, students will sort a collection of three-dimensional objects into categories by shape.

A 2-D map is a great guide here on Earth—and virtually worthless for finding your way around in outer space. Take a 3-D look at mapping our solar system and universe. This Moveable Museum article, available as a printable PDF file, looks at how astronomers use data to create 3-D models of the universe. Explore these concepts further using the recommended resources mentioned in this reading selection.

Using cameras mounted to drones, students will design and construct an experiment to take enough photos to make a 3-dimensional image of an outcrop or landform in a process called structure from motion (SfM). This activity has both a hands-on component (collecting data with the drone) and a computer-based component (creating the 3-dimensional model).___________________Drones can take photos that can be analyzed later. By planning ahead to have enough overlap between photos, you take those individual photos and make a 3-dimensional image!In this activity, you guide the students to identify an outcrop or landform to study later or over repeat visits. They go through the process to plan, conduct, and analyze an investigation to help answer their science question.The Challenge: Design and conduct an experiment to take enough photos to make a 3-dimensional image of an outcrop or landform, then analyze the image and interpret the resulting 3-d image.For instance they might wish to study a hillside that has been changed from a previous forest fire. How is the hillside starting to shift after rainstorms or snows? Monitoring an area over many months can lead to discoveries about how the erosional processes happen and also provide homeowners, park rangers, planners, and others valuable information to take action to stabilize areas to prevent landslides.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)