Students use a tension-compression machine (or an alternative bone-breaking setup) to see how different bones fracture differently and with different amounts of force, depending on their body locations. Teams determine bone mass and volume, calculate bone density, and predict fracture force. Then they each test a small animal bone (chicken, turkey, cat) to failure, examining the break to analyze the fracture type. Groups conduct research about biomedical challenges, materials and repair methods, and design repair treatment plans specific to their bones and fracture types, presenting their design recommendations to the class.

Students are introduced to the challenge question, which revolves around proving that a cabinet x-ray system can produce bone mineral density images. Students work independently to generate ideas from the questions provided, then share with partners and then with the class as part of the Multiple Perspectives phase of this unit. Then, as part of the associated activity, students explore multiple websites to gather information about bone mineral density and answer worksheet questions, followed by a quiz on the material covered in the articles.

In their reading from activity 1 of this unit, students should have discovered the term "logarithm." It is at this point that they begin their study of logarithms. Specifically, students examine the definition, history and relationship to exponents; they rewrite exponents as logarithms and vice versa, evaluating expressions, solving for a missing piece. Students then study the properties of logarithms (multiplication/addition, division/subtraction, exponents). They complete a set of practice problems to apply the skills they have learned (rewriting logarithms and exponents, evaluating expressions, solving/examining equations for a missing variable.) Then they complete a short quiz covering what they have studied thus far concerning logarithms (problems similar to the practice problems). They consider how what they have learned moves them closer to answering the unit's challenge question.

Students learn about the role engineers and engineering play in repairing severe bone fractures. They acquire knowledge about the design and development of implant rods, pins, plates, screws and bone grafts. They learn about materials science, biocompatibility and minimally-invasive surgery.

Students revisit the mathematics required to find bone mineral density, to which they were introduced in lesson 2 of this unit. They learn the equation to find intensity, Beer's law, and how to use it. Then they complete a sheet of practice problems that use the equation.

Students examine an image produced by a cabinet x-ray system to determine if it is a quality bone mineral density image. They write in their journals about what they need to know to be able to make this judgment. Students learn about what bone mineral density is, how a BMD image can be obtained, and how it is related to the x-ray field. Students examine the process used to obtain a BMD image and how this process is related to mathematics, primarily through logarithmic functions. They study the relationship between logarithms and exponents, the properties of logarithms, common and natural logarithms, solving exponential equations and Beer's law.

Students investigate the bone structure of a turkey femur and then create their own prototype versions as if they are biomedical engineers designing bone transplants for a bird. The challenge is to mimic the size, shape, structure, mass and density of the real bone. Students begin by watching a TED Talk about printing a human kidney and reading a news article about 3D printing a replacement bone for an eagle. Then teams gather data—using calipers to get the exact turkey femur measurements—and determine the bone’s mass and density. They make to-scale sketches of the bone and then use modeling clay, plastic drinking straws and pipe cleaners to create 3D prototypes of the bone. Next, groups each cut and measure a turkey femur cross-section, which they draw in CAD software and then print on a 3D printer. Students reflect on the design/build process and the challenges encountered when making realistic bone replacements. A pre/post-quiz, worksheet and rubric are included. If no 3D printer, shorten the activity by just making the hand-generated replicate bones.

After learning, comparing and contrasting the steps of the engineering design process (EDP) and scientific method, students review the human skeletal system, including the major bones, bone types, bone functions and bone tissues, as well as other details about bone composition. Students then pair-read an article about bones and bone growth and compile their notes to summarize the article. Finally, students complete a homework assignment to review the major bones in the human body, preparing them for the associated activities in which they create and test prototype replacement bones with appropriate densities. Two PowerPoint(TM) presentations, pre-/post-test, handout and worksheet are provided.

This art history video discussion looks at Rosa Bonheur's "Plowing in the Nivernais (or The First Dressing)", oil on canvas, 1849 (Musee d'Orsay, Paris).

This art history video discussion looks at Rosa Bonheur "Sheep in the Highlands", 1857, oil on canvas (Wallace Collection, London). The Wallace Collection suggests that this painting is likely the result of a trip that the artist made to Scotland the previous year.

Student teams design their own booms (bridges) and engage in a friendly competition with other teams to test their designs. Each team strives to design a boom that is light, can hold a certain amount of weight, and is affordable to build. Teams are also assessed on how close their design estimations are to the final weight and cost of their boom "construction." This activity teaches students how to simplify the math behind the risk and estimation process that takes place at every engineering firm prior to the bidding phase when an engineering firm calculates how much money it will take to build the project and then "bids" against other competitors.

In 1803, the United States purchased the Louisiana Territory—800,000 square miles of land in the interior of North America. Most of this land had not been previously explored or documented. President Thomas Jefferson chose Meriwether Lewis and William Clark to lead an ambitious military expedition, seeking a northwestern passage to the Pacific Ocean and to document their journey in this unknown territory. Starting in what is now Missouri, the expedition followed the Missouri River and passed through present-day Montana on its way to the Pacific. The explorers commented on the beauty of the landscape and the abundance of animals, and their descriptions attracted fur traders and others ready to take advantage of the region's abundant natural resources. The discovery of gold in 1862 brought in the first rush of people and subsequent mining forever changed the region. The mining industry demanded support in the form of towns, railroads, logging, ranching, and farming. These industries shaped Montana and the people who settled there. This exhibition explores the industries that brought settlers to Montana from the early days to the 1920s. Each industry had its own “boom and bust” cycle that impacted the residents and the future of the state. This exhibition was created as part of the DPLA’s Public Library Partnerships Project by collaborators from Montana Memory Project: Jennifer Birnel, Della Yeager, Cody Allen, Dale Alger, Caroline Campbell, Carly Delsigne, Pam Henley, Stef Johnson, Lisa Mecklenberg-Jackson, Laura Tretter, and Franky Abbott. Exhibition organizers: Jennifer Birnel and Franky Abbott.

This collection uses primary sources to explore twentieth-century mining in the Mojave Desert. Digital Public Library of America Primary Source Sets are designed to help students develop their critical thinking skills and draw diverse material from libraries, archives, and museums across the United States. Each set includes an overview, ten to fifteen primary sources, links to related resources, and a teaching guide. These sets were created and reviewed by the teachers on the DPLA's Education Advisory Committee.

This art history video discussion examines Hieronymus Bosch's "Last Judgment Triptych", 1504-08, Akademie fur bildenden Kunste, Vienna, overall dimensions.

This collection uses primary sources to explore the Boston Tea Party. Digital Public Library of America Primary Source Sets are designed to help students develop their critical thinking skills and draw diverse material from libraries, archives, and museums across the United States. Each set includes an overview, ten to fifteen primary sources, links to related resources, and a teaching guide. These sets were created and reviewed by the teachers on the DPLA's Education Advisory Committee.

By exploring historical accounts of events surrounding the Boston Tea Party, students learn about the sources and methods that historians use to reconstruct what happened in the past.

This lesson discusses the result of a charge being subject to both electric and magnetic fields at the same time. It covers the Hall effect, velocity selector, and the charge to mass ratio. Given several sample problems, students learn to calculate the Hall Voltage dependent upon the width of the plate, the drift velocity, and the strength of the magnetic field. Then students learn to calculate the velocity selector, represented by the ratio of the magnitude of the fields assuming the strength of each field is known. Finally, students proceed through a series of calculations to arrive at the charge to mass ratio. A homework set is included as an evaluation of student progress.

This art history video discussion looks at Botticelli's "La Primavera (Spring)", 1481-1482, tempera on panel, 80 x 123 1/2" (203 x 314), Uffizi, Florence.

This art history video discussion examines Francois Boucher's "Madame de Pompadour", oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum.

Students examine how different balls react when colliding with different surfaces, giving plenty of opportunity for them to see the difference between elastic and inelastic collisions, learn how to calculate momentum, and understand the principle of conservation of momentum.