In this culminating activity of the unit, students bring together everything they've learned in order to write the code to solve the Grand Challenge. The code solution takes two images captured by robots and combines them to create an image that can be focused at different distances, similar to the way that humans can focus either near or far. They write in a derivative of C++ called QT; all code is listed in this activity.

Students learn about the concept of pushing, as well as the relationship between force and mass. Students practice measurement skills using pan scales and rulers to make predictions about mass and distance. A LEGO MINDSTORMS(TM) NXT robot is used to test their hypotheses. By the end of the activity, students have a better understanding of robotics, mass and friction and the concept of predicting.

Students learn how simple machines, including wedges, were used in building both ancient pyramids and present-day skyscrapers. In a hands-on activity, students test a variety of wedges on different materials (wax, soap, clay, foam). Students gain an understanding of how simple machines are used in engineering applications to make our lives and work easier.

Working in small groups, students complete and run functioning Python codes. They begin by determining the missing commands in a sample piece of Python code that doubles all the elements of a given input and sums the resulting values. Then students modify more advanced Python code, which numerically computes the slope of a tangent line by finding the slopes of progressively closer secant lines; to this code they add explanatory comments to describe the function of each line of code. This requires students to understand the logic employed in the Python code. Finally, students make modifications to the code in order to find the slopes of tangents to a variety of functions.

This question provides students with an opportunity to see expressions as constructed out of a sequence of operations: first taking the square root of n, then dividing the result of that operation into s. Students studying statistics encounter the expression in this question as the standard deviation of a sampling distribution with samples of size n when the distribution from which the sample is taken has standard deviation s.

In this activity students learn about literacy tests and other barriers that kept black Southerners from being able to vote. Students also take a 1960s literacy test from Alabama.

Students are introduced to the physical concept of the colors of rainbows as light energy in the form of waves with distinct wavelengths, but in a different manner than traditional kaleidoscopes. Looking at different quantum dot solutions, they make observations and measurements, and graph their data. They come to understand how nanoparticles interact with absorbing photons to produce colors. They learn the dependence of particle size and color wavelength and learn about real-world applications for using these colorful liquids.

Students explore the applications of quantum dots by researching a journal article and answering framing questions used in a classwide discussion. This "Harkness-method" discussion helps students become critical readers of scientific literature.

Students explore the physical science behind the causes of quicksand and become familiar with relationship between concepts such as total stress, pore pressure, and effective stress. Students also relate these concepts to soil liquefaction—a major concern during earthquakes. Students begin the activity by designing a simple device to test the effects of quicksand on materials of different densities and weights. They prototype a support structure that works to prevent a heavy object from sinking into quicksand. At the end of the activity, students reflect on the engineering design process and consider the steps civil engineers take in designing sturdy buildings and other structures.

This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns.

This task has some aspects of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are given all the relevant information on the nutritional labels, but they have to figure out how to use this information. They have to come up with the idea that they can set up two equations in two unknowns to solve the problem.

This tasks is an example of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are only told that there are two ingredients in the pasta and they have a picture of the box. It might even be better to just show the picture of the box, or to bring in the box and ask the students to pose the question themselves.

Students write Arduino code and use a “digital sandbox” to create new colors out of the three programming primary colors: green, red and blue. They develop their own functions, use them to make disco light shows, and vary the pattern and colors of their shows. The digital sandbox is a hardware and software learning platform powered by a microcontroller that can interact with real-world inputs like light, while at the same time controlling LEDs and other outputs.

Students practice converting between RGB and hexadecimal (hex) formats. They learn about mixing primary colors in order to get the full spectrum of colors and how to average pixel values.

This activity can be played by pairs of students to support writing numbers.

Working individually or in pairs, students compete to design, create, test and redesign free-standing, weight-bearing towers using Kapla(TM) wooden blocks. The challenge is to build the tallest tower while meeting the design criteria and minimizing the amount of material used all within a time limit. Students experiment with different geometric shapes used in structural designs and determine how design choices affect the height and strength of structures, becoming comfortable with the concepts of structural members and modeling.

Students use engineering design principles to construct and test a fully solar powered model car. Several options exist, though we recommend the "Junior Solar Sprint" (JSS) Car Kits that can be purchased with direction from the federal government. Using the JSS kit from Solar World, students are provided with a photovoltaic panel that produces ~3V at ~3W. An optional accessory kit also from Solar World includes wheels, axles and drive gears. A chassis must be built additionally. Balsa wood provides an excellent option though many others are available. The testing of the solar car culminates in a solar race between classmates.

The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one. The reason for this is that it is possible to have two unequal numbers whose squares are equal.

Selection of aural Italian grammar lessons (podcasts). Grammar examples and dialogs are built upon the escapades of Arlecchino, Pulcinella, and other masks of the Italian Commedia dell'arte. Lessons feature topical grammar discussions, dramatic readings, pdf grammar notes ... and general audio zaniness.