Students learn about an important characteristic of lines: their slopes. Slope can be determined either in graphical or algebraic form. Slope can also be described as positive, negative, zero or undefined. Students get an explanation of when and how these different types of slope occur. Finally, they learn how slope relates to parallel and perpendicular lines. When two lines are parallel, they have the same slope and when they are perpendicular their slopes are negative reciprocals of one another.

Students analyze their social networks using graph theory. They gather data on their own social relationships, either from Facebook interactions or the interactions they have throughout the course of a day, recording it in Microsoft Excel and using Cytoscape (a free, downloadable application) to generate social network graphs that visually illustrate the key persons (nodes) and connections between them (edges). The nodes in the Cytoscape graphs are color-coded and sized according to the importance of the node (in this activity, nodes are people in students' social networks). After the analysis, the graphs are further examined to see what can be learned from the visual representation. Students gain practice with graph theory vocabulary, including node, edge, betweeness centrality and degree on interaction, and learn about a range of engineering applications of graph theory.

In this lesson, the students will investigate what types of plants and insects they could eat to survive in the Amazon. They will research various plants and/or insects and identify characteristics that make them edible or useful for the trip. The students will create posters and present their findings to the class.

The marine environment is unique and requires technologies that can use sound to gather information since there is little light underwater. The sea-floor is characterized using underwater sound and acoustical systems. Current technological innovations are allowing scientists to further understand and apply information about animal locations and habitat. Remote sensing and exploration with underwater vehicles allows scientists to map and understand the sea floor, and in some cases, the water column. In this lesson, the students will be shown benthic habitat images produced by GIS. These imaged will lead to a class discussion on why habitat mapping is useful and how current technology works to make bathymetry mapping possible. The teacher will then ask inquiry-based questions to have students brainstorm about the importance of bathymetry mapping.

Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.

Students experience haptic (the sense of touch) feedback by using LEGO® MINDSTORMS® NXT robots and touch sensors to emulate touch feedback recognition. With four touch sensors connected to LEGO NXTs, they design sensor attachments that feel physically distinguishable from each another. Then students answer questions and communicate their answers to the NXT by pressing the touch sensor that is associated with the right multiple-choice answer letter. Haptics becomes essential when students must use the NXT sensors to answer the next set of questions without the aid of their vision. This challenges them to rely solely on the tactile feeling of each unique touch sensor attachment that they created in order to choose the correct peripheral slot. Students also learn about real-world applications of haptics technology.

Students learn about the heart and its role at the center of the human cardiovascular system. In the associated activity, students play out a scenario in which they are biomedical engineers asked to design artificial hearts. They learn about the path of blood flow through the heart and use that knowledge to evaluate designs of artificial hearts on the market.

Students learn about the form and function of the human heart through lecture, research and dissection. They brainstorm ideas that pertain to various heart conditions and organize these ideas into categories that help them research possible solutions. An expert in the field of cardiac valve research was interviewed for this lesson and shares his ideas with the class. Students conclude by researching various possible heart defects.

Students explore heat transfer and energy efficiency using the context of energy efficient houses. They gain a solid understanding of the three types of heat transfer: radiation, convection and conduction, which are explained in detail and related to the real world. They learn about the many ways solar energy is used as a renewable energy source to reduce the emission of greenhouse gasses and operating costs. Students also explore ways in which a device can capitalize on the methods of heat transfer to produce a beneficial result. They are given the tools to calculate the heat transferred between a system and its surroundings.

Students gain a basic understanding of the engineering components behind telecommunications, in particular, the way telephone communication works to link one phone to another for conventional landline and cellular telephones. During this entire-class activity, students simulate how phone calls are connected by acting out a variety of searches for both local and long-distance calls. Students end up with a good understanding of how phone calls are transmitted from callers to recipients.

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.

In this activity, the students will use wax paper shaped as leaves and kite string to build a shelter to protect them from the rain. The students will then test the shelters for durability and water resistance.

Students review the what they have learned throughout the five lessons in this unit. This includes a review of many types of engineers, reminding students of the various everyday products, structures and processes they design and create in our world.

Students are introduced to a challenge question. Towards answering the question, they generate ideas for what they need to know about medicines and how they move through our bodies, watch a few short videos to gain multiple perspectives, and then learn lecture material to obtain a basic understanding of how antibiotics kill bacteria in the human body. They learn why different forms of medicine (pill, liquid or shot) get into the blood stream at different speeds.

Students teams determine the size of the caverns necessary to house the population of the state of Alabraska from the impending asteroid impact. They measure their classroom to determine area and volume, determine how many people the space could sleep, and scale this number up to accommodate all Alabraskans. They work through problems on a worksheet and perform math conversions between feet/meters and miles/kilometers.

Students learn about geotechnical engineers and their use of physical properties, such as soil density, to determine the ability of various soils to offer support to foundations. In an associated activity, students determine the bulk densities of soil samples, and assess their suitability to support foundations.

Students determine the mass and volume of soil samples and calculate the density of the soils. They use this information to determine the suitability of the soil to support a building foundation.

Students learn that it is incorrect to believe that heavier objects fall faster than lighter objects. By close observation of falling objects, they see that it is the amount of air resistance, not the weight of an object, which determines how quickly an object falls.

While learning about volcanoes, magma and lava flows, students learn about the properties of liquid movement, coming to understand viscosity and other factors that increase and decrease liquid flow. They also learn about lava composition and its risk to human settlements.