An interactive applet and associated web page that demonstrate the properties of a 30-60-90 triangle. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's angles remain 30 degrees, 60 degrees and 90 degrees The text on the page points out that the sides of a 30-60-90 triangle are always in the ratio of 1 : 2 : root 3 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.

An interactive applet and associated web page that demonstrate the properties of a 3:4:5 triangle - one of the Pythagorean triples. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's side remain in the ration 3:4:5. The text on the page has an example of how the triangle can be used to measure a right angle on even large objects. 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.

Dan Meyer's Three Act Math task on proportions. Learners work with ratios and proportions, to determine how to fix the incorrectly mixed paint.

This comprehensive Open Source lesson plan is designed for Kindergarten through Middle School level students to learn about life cycles, plants needs, and plant structures & their functions through hands-on investigations with Wisconsin Fast Plants. Depending on the grade level, students engage at an appropriate depth with developing models and constructing arguments that plants have internal and external structures that function to support survival, growth, behavior, and reproduction. This lesson is available as a Google Doc in the Gather, Reason, Communicate instructional model. You may copy the lesson Doc to your own Drive and edit/adapt for your own use--it is shared by the Fast Plants Program as an Open Education Resource" therefore, you are free to use and adapt for noncommercial purposes, provided you attribute the Wisconsin Fast Plants Programs website (www.fastplants.org) as your source and share openly (for noncommercial purposes) any materials you develop with ours.

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

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

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 resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"When modern 3D printing was invented in the early 1980s, few could have predicted the influence it has today. At no other time in history has it been this easy to transform a sketch into the real thing. And while that feat has proven immensely useful for constructing complex machines, it is unlikely more meaningful anywhere else today than in the field of biomedicine. With the ability to churn out standard or custom prosthetics, devices, and even test models, the 3D printing of biomaterials is revolutionizing medical care. One of the greatest conveniences afforded by biomedical 3D printing is the ability to manufacture parts on demand. Common load-bearing prosthetics, such as those for knee or hip replacements, no longer have to be built in bulk and benched before use. Virtually stored print files can be called upon and processed into parts as soon as they are needed in the clinic, with the printing material and method suited to the part’s function and placement..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

An interactive applet and associated web page that demonstrate the properties of a 45-45-90 isosceles right triangle. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's angles remain 45 degrees, 45 degrees and 90 degrees The text on the page points out that the sides of a 45-45-90 triangle are always in the ratio of 1 : 2 : root 2 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.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Letters can be thought of as geometric figures. How many line segments are needed to make the letter A? How many angles are there? Are they acute, obtu...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Corresponds with Chapter 5 Openstax Biology 2e "Structure and Function of Plasma Membrane"

College Algebra
A pre-lecture worksheet for students to preview section 5.5 and find the descriptions for the theorems covered in this section. Also having them try an example for each of the theorems.