This is a lesson about representative sampling. When given parts of the Hubble Deep Field image, learners will count the number of galaxies in one sample section of the image. Then, they will calculate how many galaxies there are in each whole image and how many objects the Hubble Space Telescope could see in the entire Universe. This is Activity H-6 of Universe at Your Fingertips 2.0: A Collection of Activities and Resources for Teaching Astronomy DVD-ROM, which is available for purchase.

This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree.

In this problem, the variables a,b,c, and d are introduced to represent important quantities for this esimate: students should all understand where the formula in the solution for the number of leaves comes from. Estimating the values of these variables is much trickier and the teacher should expect and allow a wide range of variation here.

This task requires students to find linear equations with different numbers of solutions.

The fact that no one knows the answer to this question is what makes it exciting. The story of physics has been one of an ever-expanding understanding of the sheer scale of reality, to the point where physicists are now postulating that there may be far more universes than just our own. Chris Anderson explores the thrilling implications of this idea. A quiz, thought provoking question, and links for further study are provided to create a lesson around the 5-minute video. Educators may use the platform to easily "Flip" or create their own lesson for use with their students of any age or level.

Information processing model: Sensory, working, and long term memory (video)

Learn about the information processing model of human memory.

Have you ever talked with a friend about a problem, only to realize that he just doesn壽猼 seem to grasp why the issue is so important to you? Have you ever presented an idea to a group, and it壽猻 met with utter confusion? What壽猻 going on here? Katherine Hampsten describes why miscommunication occurs so frequently, and how we can minimize frustration while expressing ourselves better.

This resource explores all aspects of Financial Literacy, including information, videos and a free book (use the tabs on the top right side of the site to navigate).
Topics include:
*cost of waiting
*pay yourself first (savings)
*rule of 72
*interest
*debt stacking
*owning vs borrowing/loaning
*responsibility

Students investigate how mountains are formed. Concepts include the composition and structure of the Earth's tectonic plates and tectonic plate boundaries, with an emphasis on plate convergence as it relates to mountain formation. Students learn that geotechnical engineers design technologies to measure movement of tectonic plates and mountain formation, as well as design to alter the mountain environment to create safe and dependable roadways and tunnels.

Students relate thermal energy to heat capacity by comparing the heat capacities of different materials and graphing the change in temperature over time for a specific material. Students learn why heat capacity is an important property of thermal energy that engineers use in many applications.

The purpose of this task is to help students see the connection between aÖb and ab in a particular concrete example. The relationship between the division problem 3Ö8 and the fraction 3/8 is actually very subtle.

Most of the flavoring in gum is due to the sugar or other sweetener it contains. As gum is chewed, the sugar dissolves and is swallowed. After a piece of gum loses its flavor, it can be left to dry at room temperature and then the difference between its initial (unchewed) mass and its chewed mass can be used to calculate the percentage of sugar in the gum. This demonstration experiment is used to generate new questions about gums and their ingredients, and students can then design and execute new experiments based on their own questions.

Students keep track of their own water usage for one week, gaining an understanding of how much water is used for various everyday activities. They relate their own water usages to the average residents of imaginary Thirsty County, and calculate the necessary water capacity of a dam that would provide residential water to the community.

Pennies have a monetary face value of one cent, but they are made of material that has a market value that is usually different. It is the value of the materials that requires attention in this problem. While it is interesting to compare the face value with the value of the materials, this does not have any bearing on the calculations. Interference between these two notions of value is a possible area of difficulty for some students.

This video outlines some examples of agricultural technology that is changing farming production.

Today we’re going to explain how exchangers...exchange heat. We’ll look at concentric tubes, finned tubes, plate heat exchangers, and shell-and-tube heat exchangers. And we’ll look at some equations to help us sort through heat transfer and decide what heat exchangers are best suited for our designs.

In our increasingly globalized world, a single infected person can board a plane and spread a virus across continents. Mark Honigsbaum describes the history of pandemics and how that knowledge can help halt future outbreaks. A quiz, thought provoking question, and links for further study are provided to create a lesson around the 8-minute video. Educators may use the platform to easily "Flip" or create their own lesson for use with their students of any age or level.

Students follow weather forecasts to gauge their accuracy and produce a weather report for the class. They develop skills of observation, recording and reporting.