This video segment from Greater Boston examines whether environmental toxins may be to blame for a rare skin disease.

The goal of this task is to interpret the mathematics behind a famous story from ancient mythology, giving rise to linear and quadratic expressions which model the story.

C3. Inquiry based lesson plan that includes several links and additional resources. Students evaluate why immigrants came to the U.S. and their experiences once they arrived at Ellis Island. Includes links to virtual tours of Ellis Island, primary sources (photographs), a poem to analyze, and an interactive resource that details immigrants' experiences. Excellent extension offered that connects wtih immigrants in present day.

Students analyze primary source texts, including excerpts from the Federalist papers, to investigate the purposes of the Necessary and Proper Clause, the ways in which the separation of powers limit government, and how factions and personal liberties affect the functioning of government. Next, students will write an essay or produce another type of product to answer the question the lesson title poses. Then students will create and deliver brief persuasive speeches in support of how our current federal government is either functional or dysfunctional.

This is a final lesson in a unit teaching German food and drink vocabulary and restaurant customs and vocabulary. Students will review the target vocabulary and create a story to present to the class and demonstrate their knowledge of the vocabulary and understanding of German restaurant customs.Utah World Languages Core Standards for ProficiencyLearning Indicator NH.IC.5I can interact with others in everyday situations.  c. I can order a meal.Learning Indicator NM.PS.2I can express my likes and dislikes using words, phrases, and memorized expressions.  c. I can state my favorite foods and drinks and those I don't like.Learning Indicator NM.PS.5I can present simple information about something I learned using words, phrases, and memorized expressions.  c. I can talk about animals, colors, foods, historical figures, or sports based on pictures or photos.Thumbnail photo "Woman buys fruits at a German food market in Munich Ludwigsvorstadt-Isarvorstadt" by verchmarco is licensed under CC BY 2.0.

This is an infographic that shows the differences between the Federalists and the Antifederalists are vast and at times complex. Federalists’ beliefs could be better described as nationalist. The Federalists were instrumental in 1787 in shaping the new US Constitution, which strengthened the national government at the expense, according to the Antifederalists, of the states and the people. The Antifederalists opposed the ratification of the US Constitution, but they never organized efficiently across all thirteen states, and so had to fight the ratification at every state convention. Their great success was in forcing the first Congress under the new Constitution to establish a bill of rights to ensure the liberties that the Antifederalists felt the Constitution violated.

In this video segment from Nature, learn about six different breeds of cattle.

In this segment from Curious, learn about creating energy from solar rays to meet the growing energy needs of the world.

This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.

In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course, we work on the craft of proving estimates.

This 10-minute video lesson provides an introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. [Differential Equations playlist: Lesson 13 of 45]

This 8-minute video lesson continues the discussion from the previous video and shows how to find the general solution. [Differential Equations playlist: Lesson 14 of 45]

This 6-minute video lesson continues the discussion from the previous videos and introduces some initial conditions to solve for the particular solution. [Differential Equations playlist: Lesson 15 of 45]

This 9-minute video lesson continues the discussion from the previous videos and provides another example using initial conditions. [Differential Equations playlist: Lesson 16 of 45]

This 10-minute video lesson looks at what happens when the characteristic equations has complex roots. [Differential Equations playlist: Lesson 17 of 45]

This 10-minute video lesson continues the discussion of what happens when the characteristic equation has complex roots. [Differential Equations playlist: Lesson 18 of 45]

This 10-minute video lesson concludes the series on complex roots of characteristic equations and demonstrates an example with initial conditions. [Differential Equations playlist: Lesson 19 of 45]

This 18-minute video lesson provides an introduction to the Dirac Delta Function. [Differential Equations playlist: Lesson 41 of 45]

This 12-minute video lesson gives the first example of solving an exact differential equation. [Differential Equations playlist: Lesson 6 of 45]

This 8-minute video lesson provides some more examples of exact equations. [Differential Equations playlist: Lesson 7 of 45]