Now we are ready to calculate an intersection point using our ray CP (parametric form) and our line AB (slope-intercept form).

Now that we have a feeling for constructing permutations let's introduce the factorial formula to make counting them easy.

In this video we'll uncover the connection between the previous diagram and the rotation formulas. Repeat viewing suggested!

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.

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

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.

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.

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Children creat a 3 dimensional model of various constellations to learn how 2d images are actually 3d.

We can use de Casteljau's algorithm to calculate curves using any number of points.

Let's take a closer look at the weights used during subdivision. Do we have to be careful when selecting weights?

Let's look more closely at how light bounces when it strikes an object. We'll cover reflected and refracted rays.

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: Your teacher was just awarded \$1,000 to spend on materials for your classroom. She asked all 20 of her students in the class to help her decide how to...

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: Mrs. Moore’s third grade class wants to go on a field trip to the science museum. * The cost of the trip is \$245. * The class can earn money by runnin...

Are we really creating parabolic curves using this construction? Let's gain some insight first.

Use an array to store many objects as well as create any shape you can imagine. Click here to review objects.