Students are introduced to the nano-size length scale as they make measurements and calculate unit conversions. They measure common objects and convert their units to nanometers, giving them a simple reference frame for understanding the very small size of nanometers. Then, they compare provided length data from objects too small to measure, such as a human hair and a flea, giving them a comparative insight to the nanotechnology scale. Using familiar and common objects for comparison helps students understand more complex scientific concepts.

Students act as food science engineers as they explore and apply their understanding of cooling rate and specific heat capacity by completing two separate, but interconnected, tasks. In Part 1, student groups conduct an experiment to explore the cooling rate of a cup of hot chocolate. They collect and graph data to create a mathematical model that represents the cooling rate, and use an exponential decay regression to determine how long a person should wait to drink the cup of hot chocolate at an optimal temperature. In Part 2, students investigate the specific heat capacity of the hot chocolate. They determine how much energy is needed to heat the hot chocolate to an optimal temperature after it has cooled to room temperature. Two activity-guiding worksheets are included.

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.

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.

This project will raise student awareness of the problem of waste and waste management in our community. As we progress through the unit the goal is to reduce the amount of waste that our school produces. There are many ways to do this but the most unique aspect is to reduce biodegradable waste from our cafeteria through the process of vermicomposting. Students will design and create worm bins to reduce our cafeteria waste. The project will take a couple of weeks for the content and the construction of worm bins and then we will monitor our worm bins throughout the school year.

Students learn about trigonometry, geometry and measurements while participating in a hands-on interaction with LEGO® MINDSTORMS® NXT technology. First they review fundamental geometrical and trigonometric concepts. Then, they estimate the height of various objects by using simple trigonometry. Students measure the height of the objects using the LEGO robot kit, giving them an opportunity to see how sensors and technology can be used to measure things on a larger scale. Students discover that they can use this method to estimate the height of buildings, trees or other tall objects. Finally, students synthesize their knowledge by applying it to solve similar problems. By activity end, students have a better grasp of trigonometry and its everyday applications.