This lesson introduces students to the “Tragedy of the Commons,” an extended metaphor for problems of shared environmental or man-made resources that are overused and eventually depleted. In this metaphor, shared resources are compared to a common grazing pasture, or “commons,” on which any dairy farmer can graze as many cows as he/she wishes. If too many cows are added to the commons, they will overeat the grass in the pasture and the shared resource will become depleted – a disadvantage to everyone. In this lesson, students will be inspired to think about possible solutions to this problem. To get there, they will use basic math to frame the problem and will discover how useful this can be in considering consequences of various actions. Most importantly, they will become comfortable with the concept of problems of shared resources – and will learn to recognize, and seek out, examples all around them. An exposure to algebra 1 and basic functions is the only math prerequisite necessary. The lesson will take around 50 minutes to complete and the required materials for this lesson are paper and pens or pencils, as well as some sort of prize to provide the winning team with in the final activity. For all five activities, students are asked to work in groups of 4, but groups of 3 or 5 would also be okay. Students will work with their groups to discuss the logic behind the tragedy of the commons, to consider some options for preventing this tragedy and to examine examples of problems of shared resources that are relevant to them. They will also come up with functions that fit behavior described in the video, and be asked to think about the behavior of functions provided in the video and accompanying materials.

it would be ideal if students already have learned that DNA is the genetic material, and that DNA is made up of As, Ts, Gs, and Cs. It also would help if students already know that each human has two versions of every piece of DNA in their genome, one from mom and one from dad. The lesson will take about one class period, with roughly 30 minutes of footage and 30 minutes of activities.

This video is meant to be a fun, hands-on session that gets students to think hard about how machines work. It teaches them the connection between the geometry that they study and the kinematics that engineers use -- explaining that kinematics is simply geometry in motion. In this lesson, geometry will be used in a way that students are not used to. Materials necessary for the hands-on activities include two options: pegboard, nails/screws and a small saw; or colored construction paper, thumbtacks and scissors. Some in-class activities for the breaks between the video segments include: exploring the role of geometry in a slider-crank mechanism; determining at which point to locate a joint or bearing in a mechanism; recognizing useful mechanisms in the students' communities that employ the same guided motion they have been studying.

Brief video describing licensing and permissions associated with Open Educational Resources (OER), including various Creative Commons licenses. These licenses give content creators a standardized way to share their resources with other educators around the world.

The major purpose of this lesson is to promote the learning of eye function by associating eye problems and diseases to parts of the eye that are affected. Included in this module are discussions and activities that teach about eye components and their functions. The main activity is dissecting a cow eye, which in many high schools is part of the anatomy curriculum. This lesson extends the curriculum by discussing eye diseases that students might be familiar with. An added fun part of the lesson is discussion of what various animals see.

This video lesson will introduce students to algorithmic thinking through the use of a popular field in graph theory—social networking. Specifically, by acting as nodes in a graph (i.e. people in a social network), the students will experientially gain an understanding of graph theory terminology and distance in a graph (i.e. number of introductions required to meet a target person). Once the idea of distance in a graph has been built, the students will discover Dijkstra's Algorithm. The lesson should take approximately 90 minutes and can be comfortably partitioned across two class sessions if necessary (see the note in the accompanying Teacher Guide). There are no special supplies needed for this class and all necessary hand-outs can be downloaded from this website.

Beavers are generally known as the engineers of the animal world. In fact the beaver is MIT's mascot! But honeybees might be better engineers than beavers! And in this lesson involving geometry in interesting ways, you'll see why! Honeybees, over time, have optimized the design of their beehives. Mathematicians can do no better. In this lesson, students will learn how to find the areas of shapes (triangles, squares, hexagons) in terms of the radius of a circle drawn inside of these shapes. They will also learn to compare those shapes to see which one is the most efficient for beehives. This lesson also discusses the three-dimensional shape of the honeycomb and shows how bees have optimized that in multiple dimensions. During classroom breaks, students will do active learning around the mathematics involved in this engineering expertise of honeybees. Students should be conversant in geometry, and a little calculus and differential equations would help, but not mandatory.

The aim of this lesson is to introduce the concept of Neutralization and its application in our daily lives. Students are encouraged to construct their knowledge of Neutralization through brainstorming sessions, experiments, and mind mapping. This video lesson presents a series of stories relating to Neutralization—beginning with a story of a girl being cured from a stomach ache with the help of Neutralization. Prerequisites for this lesson are knowledge of the basic concept of Neutralization, chemical equations and the pH indicator scale. The lesson will take about 50 minutes to complete, but you may want to divide into two classes if the activities require more time.

This lesson is an introduction to Multiple Regression Analysis or MRA, a statistical process used widely in many professions to estimate the relationship among variables. The aim of this video is to make it easier for students to understand the introduction to the concept of MRA based upon a property valuation setting. In order to facilitate students’ understanding of this, a scaffolding method is used whereby students are first exposed to basic equations. Then they will be introduced to the concept of variables, teaching them to calculate property value based on only 2 variables. Their understanding is further enhanced by exposing them to multiple variables related to property valuation. Finally, they are asked to calculate property value based on multiple variables. It is shown in this video that finding the value of two variables is possible using the paired comparison method, but that the same method cannot be applied if we have more than 2 equations; that is when Multiple Regression Analysis is needed. MRA can solve problems related to more than 2 equations. A prerequisite for students is an understanding of basic statistics such as total, average, mod, mean and median.

With an often unexpected outcome from a simple experiment, students can discover the factors that cause and influence thermohaline circulation in our oceans. In two 45 minute class periods, students complete activities where they observe the melting of ice cubes in saltwater and freshwater, using basic materials: clear plastic cups, ice cubes, water, salt, food coloring, and thermometers. There are no prerequisites for this lesson but it is helpful if students are familiar with the concepts of density and buoyancy as well as the salinity of seawater. It is also helpful if students understand that dissolving salt in water will lower the freezing point of water. There are additional follow up investigations that help students appreciate and understand the importance of the ocean’s influence on Earth’s climate.

This lesson introduces students to the concepts of evolution, specifically the evolution of humans. So often our students assume that humans are well adapted to our environments because we are in control of our evolutionary destiny. The goal is to change these types of misconceptions and get our students to link the concepts learned in their DNA, protein synthesis, and genetics units to their understanding of evolution. Students will also discover that humans are still evolving and learn about the traits that are more recent adaptations to our environment. The lesson is designed to take two one-hour class periods to complete. The activities will allow students to draw connections between environmental pressures and selected traits, both through data analysis and modeling. Most activities can be done without any special materials, although the Modeling Natural Selection activity needs either a tri-colored pasta, or tricolored beans, to be completed effectively.