This task gives students an opportunity to work with exponential functions in a real world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve exponential equations.

This task develops reasoning behind the general formula for balances under continuously compounded interest. While this task itself specifically addresses the standard (F-BF), building functions from a context, a auxiliary purpose is to introduce and motivate the number e, which plays a significant role in the (F-LE) domain of tasks.

Students incorporate their knowledge of civil engineering and physics principles as they design and build a bridge within certain parameters while choosing their own materials.

Students will be using a hands-on approach to learning about length, capacity, and weight. This lesson contains a detailed plan, slides containing notes and problems, and a video tutorial.

Through discussion and hands-on experimentation, students learn about the geological (ancient) carbon cycle. They investigate the role of dinosaurs in the carbon cycle and the eventual storage of carbon in the form of chalk. Students discover how the carbon cycle has been occurring for millions of years and is necessary for life on Earth. Finally, they may extend their knowledge to the concept of global warming and how engineers are working to understand the carbon cycle and reduce harmful CO2 emissions.

The Rubber Band Helicopter is a hands-on STEM activity where students build a simple helicopter out of rubber bands, popsicle sticks, and paper, and then test it out to see how it flies.

The Straw Rocket activity is a fun and interactive way for students to learn about the principles of rocket propulsion. Using simple materials like straws, paper, and tape, students design and build their own rockets and test them out to see how far they can fly.

Under the "The Science Behind Harry Potter" theme, a succession of diverse complex scientific topics are presented to students through direct immersive interaction. Student interest is piqued by the incorporation of popular culture into the classroom via a series of interactive, hands-on Harry Potter/movie-themed lessons and activities. They learn about the basics of acid/base chemistry (invisible ink), genetics and trait prediction (parseltongue trait in families), and force and projectile motion (motion of the thrown remembrall). In each lesson and activity, students are also made aware of the engineering connections to these fields of scientific study.

Part of a materials science engineering course, a project through which students investigate the future of solar electricity by creating prototypes of solar cells. Students complete exercises in "project planning, analysis, design, optimization, demonstration, reporting and team building."

All of us have felt sick at some point in our lives. Many times, we find ourselves asking, "What is the quickest way that I can start to feel better?" During this two-lesson unit, students study that question and determine which form of medicine delivery (pill, liquid, injection/shot) offers the fastest relief. This challenge question serves as a real-world context for learning all about flow rates. Students study how long various prescription methods take to introduce chemicals into our blood streams, as well as use flow rate to determine how increasing a person's heart rate can theoretically make medicines work more quickly. Students are introduced to engineering devices that simulate what occurs during the distribution of antibiotic cells in the body.

Students will be able to make use of structure on their way to deriving a formula for the sum of a geometric series. They will also gain more experience in finding the nth term of a sequence/series. Includes short video. [1:15]

The Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12's Basic Geometry Student Edition. The solution and assessment guides are available upon request.

This site teaches the Geometry of Circles to High Schoolers through a series of 1084 questions and interactive activities aligned to 9 Common Core mathematics skills.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

This stand-alone module examines the history, applications, and various proofs of the Pythagorean Theorem. The module also includes student activities and exercise problems. The module assumes the reader has a basic geometry background.

CK-12's Geometry - Second Edition is a clear presentation of the essentials of geometry for the high school student. Topics include: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

In this lesson, students will investigate error. As shown in earlier activities from navigation lessons 1 through 3, without an understanding of how errors can affect your position, you cannot navigate well. Introducing accuracy and precision will develop these concepts further. Also, students will learn how computers can help in navigation. Often, the calculations needed to navigate accurately are time consuming and complex. By using the power of computers to do calculations and repetitive tasks, one can quickly see how changing parameters likes angles and distances and introducing errors will affect their overall result.

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.

Introducing engineering concepts with Hour of Engineering website is an engaging way to get students thinking about a STEM future. Hour of Engineering is designed to inform and inspire students in upper elementary through high school about engineering. Helping your students build an innovation mindset with the adaptive tools to solve problems starts here!

By participating in the Hour of Engineering students will: Define STEM vocabulary; Display engineering literacy; Explore the engineering design process; Experiment with practical engineering skills; Solve real-world engineering challenges; Link concepts between science, technology, engineering, and math; Build engineering habits of mind like creativity, systems thinking, and collaboration.

There are three parts to the Hour of Engineering website: landing page with inspirational content, learning modules, and engineering design challenges. (1) The landing page features clickable items to inspire students about the connection between engineering, art, science, math and even music! Students can freely explore the videos and models to learn about each object before moving on to deeper learning. (2) Learning modules allow students to explore a specific engineering topic. Students can explore learning modules on their own or you can pair them with connected engineering challenges to guide a sequence of learning on a topic. (3) Engineering challenges are a gamified way for students to explore various topics, activities and objects within fields of engineering. Students participating in engineering challenges earn stars based on their interaction with learning elements. There are knowledge checks and interactive models for students to explore during a challenge.

In this lesson, students will learn how great navigators of the past stayed on course that is, the historical methods of navigation. The concepts of dead reckoning and celestial navigation are discussed.