The goal of this task is to use geometry study the structure of beehives. Beehives have a tremendous simplicity as they are constructed entirely of small, equally sized walls. In order to as useful as possible for the hive, the goal should be to create the largest possible volume using the least amount of materials. In other words, the ratio of the volume of each cell to its surface area needs to be maximized. This then reduces to maximizing the ratio of the surface area of the cell shape to its perimeter.

This activity simulates the extraction of limited, nonrenewable resources from a "mine," so students can experience first-hand how resource extraction becomes more difficult over time. Students gather data and graph their results to determine the peak in resource extraction. They learn about the limitations of nonrenewable resources, and how these resources are currently used.

Steganography is the science and art of hiding messages in plain sight so only the sender and intended recipient know the existence of a message. Steganography can be characterized as security through obscurity. Through this lesson, students experience a portion of the engineering design process as they research steganography and steganographic methods; identify problems, criteria and constraints; brainstorm possible solutions; and generate ideas. These are the critical first steps in the engineering design process, often overlooked by students who want to get to the "doing" phases—designing, building and testing. In computer science, a thorough design phase makes program implementation much easier and more effective. Students obtain practice with a portion of the design process that may be less exciting, but is just as important as the other steps in the process.

A main concern of shoe engineers is creating shoes that provide the right amount of arch support to prevent (or fix) common gait misalignments that lead to injury. During this activity, students look at their own footprints and determine whether they have either of the two most prominent gait misalignments: overpronation (collapsing arches) or supination (high arches). Knowing the shape of a person's foot, and their natural arch movement is necessary to design shoes to fix these gain alignments.

The goal of this course is to review grammar and develop vocabulary building strategies to refine oral and written expression. Speaking and writing assignments are designed to expand communicative competence. Assignments are based on models and materials drawn from contemporary media (newspapers and magazines, television, web). The models, materials, topics and assignments vary from semester to semester.

The purpose of this book is to teach new programmers and scientists about the basics of High Performance Computing. Too many parallel and high performance computing books focus on the architecture, theory and computer science surrounding HPC. This book speaks to the practicing chemistry student, physicist, or biologist who need to write and run their programs as part of their research.

While not a full-blown modeling problem, this task does address some aspects of modeling as described in Standard for Mathematical Practice 4. Also, students often think that time must always be the independent variable, and so may need some help understanding that one chooses the independent and dependent variable based on the way one wants to view a situation.

In this task students must interpret a function in relation to a given problem.

6.976 covers system level issues of high speed communication systems and their impact on circuit requirements, with primary focus being placed on wireless and broadband data link applications. Course topics include: transistor level design techniques for high speed amplifiers, mixers, VCO's, registers and gates, and phase locked loops, and the impact of transmission line effects on circuit designs for narrowband and broadband systems. Finally, behavioral level simulation techniques are presented for phase locked loops and other communication circuits.

The purpose of this task is to assess understanding of how study design dictates whether a conclusion of causation is warranted. This study was observational and not an experiment, which means that it is not possible to reach a cause-and-effect conclusion.

This short video and interactive assessment activity is designed to teach first graders about selecting the correct addition sentence (sums to 100).

This short video and interactive assessment activity is designed to teach second graders about selecting the correct addition sentence (sums to 100).

This site features a video overview of Addition (Sums to Twenty) for 1st Graders.

This short video and interactive assessment activity is designed to teach second graders an overview of addition (sums to 20).

This short video and interactive assessment activity is designed to teach second graders about subtraction: selecting the correct sentence.

This short video and interactive assessment activity is designed to teach third graders about dividing to find the amount.

This short video and interactive assessment activity is designed to teach fourth graders about division terms.

This short video and interactive assessment activity is designed to give fourth graders an overview of complex weight problems (metric units).

This short video and interactive assessment activity is designed to teach fourth graders about using multiplication replacement to find a new amount.

This short video and interactive assessment activity is designed to teach fourth graders about multiple rounds of multiplication - multiplying 3 digits by 1 digit.