In this lesson, students learn how to determine location by triangulation. We describe the process of triangulation and practice finding your location on a worksheet, in the classroom, and outdoors.

Students learn about weight by building a spring scale and observing how it responds to objects with different masses.

Students use a hurricane tracking map to measure the distance from a specific latitude and longitude location of the eye of a hurricane to a city. Then they use the map's scale factor to convert the distance to miles. They also apply the distance formula by creating an x-y coordinate plane on the map. Students are challenged to analyze what data might be used by computer science engineers to write code that generates hurricane tracking models. Then students analyze a MATLAB® computer code that uses the distance formula repetitively to generate a table of data that tracks a hurricane at specific time intervals. Students come to realize that using a computer program to generate the calculations (instead of by hand) is very advantageous for a dynamic situation like tracking storm movements. Their inspection of some MATLAB code helps them understand how it communicates what to do using mathematical formulas, logical instructions and repeated tasks. They also conclude that the example program is too simplistic to really be a useful tool; useful computer model tools must necessarily be much more complex.

This resource provides both the Childrens and Adult Hope Scales in English and Spanish. This Hope Scale is referenced in the "Administering the Hope Scale Community Toolkit" resource. The Hope Scale is the tool that a practioner measures hope with. 

The sizes and distances of things in space are awe-inspiring, but hard to fathom. Things that are unimaginably massive can look tiny to us from Earth, and things that appear very large to us may be among the smallest in the sky. Although students can learn names and features of objects in the night sky, scale is one of the biggest stumbling blocks they need to overcome to actually understand what they’re looking at and to understand astronomy in general. But students have lots of daily life experience with bigger things looking smaller because of relative distance (and visa versa). How Big & How Far takes this experience of observing relative sizes and distances here on Earth and challenges students to apply it to night sky objects.

In this Night Sky Activity, the group measures how many fists tall a volunteer is. Then, students scatter and measure again, this time with outstretched fists and with much smaller and varied measurements. Students discuss how the distance you are from an object can make it appear larger or smaller. This activity sets them up to apply this idea afterwards as they observe night sky objects and attempt to better understand the actual sizes of the objects they see.

This course provides a foundation to the design of the environment from the scale of the object, to the building to the larger territory. The design disciplines of architecture as well as urbanism and landscape are examined in context of the larger influence of the arts and sciences. Students are expected to develop skills in thinking and analysis, spatial representation, and design methodologies. Through lectures and design exercises, students are provided an opportunity to establish a reference for understanding the discipline of architecture and environmental design, and are given an introduction to design fundamentals and the design process.

The CyberSquad creates a bar graph representing the amount of bugs that are infecting the Cybrary in this video from Cyberchase.

In this activity on page 1 of the PDF, learners compare the relative sizes of biological objects (like DNA and bacteria) that can't be seen by the naked eye. Learners will be surprised to discover the range of sizes in the microscopic world. This activity can be followed up with a second activity, "What's in a microbe?", located on page 3 in the same resource.

Students learn about the difference between temperature and thermal energy. They build a thermometer using simple materials and develop their own scale for measuring temperature. They compare their thermometer to a commercial thermometer, and get a sense for why engineers need to understand the properties of thermal energy.

Whether you realize it or not, when you carry a smart phone, use a navigation system in your car, or look up the nearest coffee shop on your computer, you are using geographic information. Geographic data and technologies are embedded in almost all aspects of our lives. GEOG 160, Mapping Our Changing World, explores what geographic information and data are, what makes them unique, how they are created, and how we use them. You'll explore how geographic technologies like geographic information systems (GIS), remote sensing from satellites, and global positioning systems (GPS) work together to provide us with information we rely on. You'll also become an informed consumer of the geographic content in your life.

Four full-year digital course, built from the ground up and fully-aligned to the Common Core State Standards, for 7th grade Mathematics. Created using research-based approaches to teaching and learning, the Open Access Common Core Course for Mathematics is designed with student-centered learning in mind, including activities for students to develop valuable 21st century skills and academic mindset.

Zooming In On Figures

Unit Overview

Type of Unit: Concept; Project

Length of Unit: 18 days and 5 days for project

Prior Knowledge

Students should be able to:

Find the area of triangles and special quadrilaterals.
Use nets composed of triangles and rectangles in order to find the surface area of solids.
Find the volume of right rectangular prisms.
Solve proportions.

Lesson Flow

After an initial exploratory lesson that gets students thinking in general about geometry and its application in real-world contexts, the unit is divided into two concept development sections: the first focuses on two-dimensional (2-D) figures and measures, and the second looks at three-dimensional (3-D) figures and measures.
The first set of conceptual lessons looks at 2-D figures and area and length calculations. Students explore finding the area of polygons by deconstructing them into known figures. This exploration will lead to looking at regular polygons and deriving a general formula. The general formula for polygons leads to the formula for the area of a circle. Students will also investigate the ratio of circumference to diameter ( pi ). All of this will be applied toward looking at scale and the way that length and area are affected. All the lessons noted above will feature examples of real-world contexts.
The second set of conceptual development lessons focuses on 3-D figures and surface area and volume calculations. Students will revisit nets to arrive at a general formula for finding the surface area of any right prism. Students will extend their knowledge of area of polygons to surface area calculations as well as a general formula for the volume of any right prism. Students will explore the 3-D surface that results from a plane slicing through a rectangular prism or pyramid. Students will also explore 3-D figures composed of cubes, finding the surface area and volume by looking at 3-D views.
The unit ends with a unit examination and project presentations.

Students further explore scale, taking a scale drawing floor plan and redrawing it at a different scale.Key ConceptsStudents explore change from one scale to another, focusing on the ratios. Students will draw a scale model of a house.GoalsRedraw a scale drawing at a different scale.Find measurements using a scale drawing.

Lesson OverviewStudents will work on the final portion of their project which includes creating the nets for the sides, making a slice in one of their buildings, and putting their buildings together. Once their two model buildings are complete, they will find the surface area and volume for their models and the full-size buildings their models represent.Key ConceptsThe second part of the project is essentially a review of the second half of the unit, while still using scale drawings. Students will find the surface area of a prism as well as the surface area of a truncated prism. The second prism will require estimating and problem solving to figure out the net and find the surface area. Students will also be drawing the figure using scale to find actual surface area.GoalsRedraw a scale drawing at a different scale.Find measurements using a scale drawing.Find the surface area of a prism.SWD: Students with disabilities may have a more challenging time identifying areas of improvement to target in their projects. It may be helpful to model explicitly for students (using an example project or student sample) how to review a project using the rubric to assess and plan for revisions based on that assessment.Students with fine motor difficulties may require grid paper with a larger scale. Whenever motor tasks are required, consider adaptive tools or supplementary materials that may benefit students with disabilities.Students with disabilities may struggle to recall prerequisite skills as they move through the project. It may be necessary to check in with students to review and reinforce estimation skills.

You may not think about it, but size does matter. It is especially true when talking about the very tiny things that exist in the nano world.

Multi-scale systems (MuSS) consist of components from two or more length scales (nano, micro, meso, or macro-scales). In MuSS, the engineering modeling, design principles, and fabrication processes of the components are fundamentally different. The challenge is to make these components so they are conceptually and model-wise compatible with other-scale components with which they interface. This course covers the fundamental properties of scales, design theories, modeling methods and manufacturing issues which must be addressed in these systems. Examples of MuSS include precision instruments, nanomanipulators, fiber optics, micro/nano-photonics, nanorobotics, MEMS (piezoelectric driven manipulators and optics), X-Ray telescopes and carbon nano-tube assemblies. Students master the materials through problem sets and a project literature critique.

This class is an introduction to the analysis of tonal music. Students develop analytical techniques based upon concepts learned in 21M.301-21M.302. Students study rhythm and form, harmony, line and motivic relationships at local and large scale levels of musical structure. Three papers (totaling 20 pages, one to be revised) and one oral presentation are required.

This customized independent study course puts Sloan Fellows MBA students into direct contact with innovators tackling global needs in education, healthcare, and energy/environment. Co-designed projects address low-income markets in the U.S. or globally, focusing on the application of new ideas and technology rooted in MIT innovations or the Boston ecosystem. Every project aims to develop better ways for the right innovations to reach scale, sustainability, and quality, thereby improving lives and uncovering opportunities in underserved markets.

The purpose of this resource is to familiarize students with the importance of perspective and various scales of remotely sensed data. Students create a 3-D model of an area and develop a classification system for the landforms in their model. The maps can then be used to answer certain questions about the environment.