This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

The purpose of this task is to assess a student's ability to explain the meaning of independence in a simple context.

Students learn about stress and strain by designing and building beams using polymer clay. They compete to find the best beam strength to beam weight ratio, and learn about the trade-offs engineers make when designing a structure.

Students learn about and experiment with the concept of surface tension. How can a paper clip "float" on top of water? How can a paper boat be powered by soap in water? How do water striders "walk" on top of water? Why do engineers care about surface tension? Students answer these questions as they investigate surface tension and surfactants.

Students use a simple pH indicator to measure how much CO2 is produced during respiration, at rest and after exercising. They begin by comparing some common household solutions in order to determine the color change of the indicator. They review the concepts of pH and respiration and extend their knowledge to measuring the effectiveness of bioremediation in the environment.

Students explore how tension and compression forces act on three different bridge types. Using sponges, cardboard and string, they create models of beam, arch and suspension bridges and apply forces to understand how they disperse or transfer these loads.

Through a five-lesson series that includes numerous hands-on activities, students are introduced to the importance and pervasiveness of bridges for connecting people to resources, places and other people, with references to many historical and current-day examples. In learning about bridge types arch, beam, truss and suspension students explore the effect of tensile and compressive forces. Students investigate the calculations that go into designing bridges; they learn about loads and cross-sectional areas by designing and testing the strength of model piers. Geology and soils are explored as they discover the importance of foundations, bearing pressure and settlement considerations in the creation of dependable bridges and structures. Students learn about brittle and ductile material properties. Students also learn about the many cost factors that comprise the economic considerations of bridge building. Bridges are unique challenges that take advantage of the creative nature of engineering.

This classroom lab is a guided practice for inquiry using brine shrimp as the subject to be investigated.

SSAC Physical Volcanology module. Students build a spreadsheet and apply the ideal gas law to model the velocity of a bubble rising in a viscous magma.

In this Spreadsheets Across the Curriculum module, students build spreadsheets and draw graphs to explore a chemical buffer's ability to resist pH change, i.e., the buffer capacity. Quantification of buffer capacity is conceptually straightforward but involves multiple repetitive calculations. The key relationship is the Henderson-Hasselbalch equation: , which follows from the Law of Mass Action and The spreadsheets automate many of the calculations, thereby simplifying the process. Instead of focusing on the calculations, students can see what buffer capacity means and focus on the a deeper understanding of its implications. After reviewing several buffer calculations, the stduents use the spreadsheet to investigate buffer capacity graphically and characterize blood's physiological buffer system. While solving the question of how many breaths one can take before alkalosis sets in, the students manipulate a logarithmic equation, do "what if" modeling, and analyze rates of change from plots of their cacluated results.

This activity is a biology lab investigation where students create habitats to observe decomposers in a controlled setting.

In this hands-on activity, students explore the electrical force that takes place between two objects. Each student builds an electroscope and uses the device to draw conclusions about objects' charge intensity. Students also determine what factors influence electric force.

Students create their own anemometers instruments for measuring wind speed. They see how an anemometer measures wind speed by taking measurements at various school locations. They also learn about different types of anemometers, real-world applications, and how wind speed information helps engineers decide where to place wind turbines.

All living beings are made up of cells. Some of them are made up of only one cell and others have many cells. Also in: Dutch | French | Hungarian | Spanish

Students build their own small-scale model roller coasters using pipe insulation and marbles, and then analyze them using physics principles learned in the associated lesson. They examine conversions between kinetic and potential energy and frictional effects to design roller coasters that are completely driven by gravity. A class competition using different marbles types to represent different passenger loads determines the most innovative and successful roller coasters.