Building on their understanding of graphs, students are introduced to random processes on networks. They walk through an illustrative example to see how a random process can be used to represent the spread of an infectious disease, such as the flu, on a social network of students. This demonstrates how scientists and engineers use mathematics to model and simulate random processes on complex networks. Topics covered include random processes and modeling disease spread, specifically the SIR (susceptible, infectious, resistant) model.

This interactive game for one or two players develops students' fluency with multiplication facts, understanding of the relationship between factors and products, and strategic thinking. Players take turns moving markers on a factor list and claiming their products on a board displaying all the products of the numbers 1-9. The first player to claim four in a row wins the game. The factors and number needed to win are customizable. The resource includes links to related lessons.

In computer science, program analysis is used to determine the behavior of computer programs. Flow charts are an important tool for understanding how programs work by tracing control flow. Control flow is a graphical representation of the logic present in the program. In this lesson, students learn about, design and create flow charts for different scenarios, including a game based on the Battleship® created by Hasbro©. In the associated activity, Flow Charting App Inventor, students apply their knowledge from this lesson and gain experience with a software application called App Inventor. This lesson and its associated activity can be stand-alone or used as a launching point for the Android Acceleration Application unit or any lesson involving App Inventor.

Projections and coordinates are key advancements in the geographic sciences that allow us to better understand the nature of the Earth and how to describe location. These innovations in describing the Earth are the basis for everything that is done in a GIS framework. Shape of the Earth is a critical starting point because in fact the Earth is not round but rather a more complex shape called a geoid. Coordinate systems are often referenced to a particular model shape of the Earth, but many different formats exist because not all coordinates work equally well in all areas. While projections and coordinates are abstract concepts in themselves, students eventually find them interesting because 1) it causes them to challenge their current ideas of the Earth's shape and 2) it is much easier to visualize these ideas for learning through interactive GIS such as Google Earth.

In this lab students will make qualitative observations of flame color, a property of metals, to identify unknown metals in salt compounds.

Students experience the steps of the engineering design process as they design solutions for a real-world problem that could affect their health. After a quick review of the treatment processes that municipal water goes through before it comes from the tap, they learn about the still-present measurable contamination of drinking water due to anthropogenic (human-made) chemicals. Substances such as prescription medication, pesticides and hormones are detected in the drinking water supplies of American and European metropolitan cities. Using chlorine as a proxy for estrogen and other drugs found in water, student groups design and test prototype devices that remove the contamination as efficiently and effectively as possible. They use plastic tubing and assorted materials such as activated carbon, cotton balls, felt and cloth to create filters with the capability to regulate water flow to optimize the cleaning effect. They use water quality test strips to assess their success and redesign for improvement. They conclude by writing comprehensive summary design reports.

Students are introduced to the (hypothetical) task of developing an invisible (non-intrusive) security system to protect the school's treasured mummified troll! Solving the challenge depends on an understanding of the properties of light. After being introduced to the challenge question, students generate ideas and consider the knowledge required find solutions. They watch a portion of the "Mythbuster's Crimes and Myth-Demeanors" episode ($20), which helps direct their research and learning toward solving the challenge. They begin to study laser applications in security systems, coming to realize the role of lasers in today's society.

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.

Students analyze a cartoon of a Rube Goldberg machine and a Python programming language script to practice engineering analysis. In both cases, they study the examples to determine how the different systems operate and the function of each component. This exercise in juxtaposition enables students to see the parallels between a more traditional mechanical engineering design and computer programming. Students also gain practice in analyzing two very different systems to fully understand how they work, similar to how engineers analyze systems and determine how they function and how changes to the system might affect the system.

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.

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.

This subject introduces the key concepts and formalism of quantum mechanics and their relevance to topics in current research and to practical applications. Starting from the foundation of quantum mechanics and its applications in simple discrete systems, it develops the basic principles of interaction of electromagnetic radiation with matter. Topics covered are composite systems and entanglement, open system dynamics and decoherence, quantum theory of radiation, time-dependent perturbation theory, scattering and cross sections. Examples are drawn from active research topics and applications, such as quantum information processing, coherent control of radiation-matter interactions, neutron interferometry and magnetic resonance.

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.

In this classroom experiment the students will observe primary colors mixing together to create a secondary color.

From the early grades on, students develop their reasoning skills by making and testing mathematical conjectures, drawing logical conclusions, and justifying their thinking in developmentally appropriate ways. As they advance through the grades, students' arguments become more sophisticated and they are able to construct formal proofs. By doing so, students learn what mathematical reasoning entails.

This lesson will start with a brief history of robotics and explain how robots are beneficial to science and society. The lesson then will explore how robots have been used in recent space exploration efforts. The engineering design of the two Mars rovers, Spirit and Opportunity, will be used as prime examples. Finally, the maneuverability of their robotic arms and the functionality of their tools will be discussed.

This activity is an investigation where students experiment with reflection using plane mirrors.

In this activity, students will mix paints and create a formula to match a muted color. The formula will be tested. Students will discuss their observations and develop new questions about color mixing to pursue.

The discovery of restriction enzymes and their applications in DNA analysis has proven to be essential for biologists and chemists. This lesson focuses on restriction enzymes and their applications to DNA analysis and DNA fingerprinting. Use this lesson and its associated activity in conjunction with biology lessons on DNA analysis and DNA replication.

This course is an introduction to the history, theory, practice, and implications of rhetoric, the art and craft of persuasion. This course specifically focuses on the ways that scientists use various methods of persuasion in the construction of scientific knowledge.