Students analyze and begin to design a pyramid. Working in engineering teams, they perform calculations to determine the area of the pyramid base, stone block volumes, and the number of blocks required for their pyramid base. They make a scaled drawing of the pyramid using graph paper.

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This is a lesson about detecting atmospheres of planets. Learners will explore stellar occultation events (by interpreting light curves) to determine if an imaginary dwarf planet ‰ÛÏSnorkzat‰Û� has an atmosphere. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System.

Students will create their own work of art that serves as a social commentary. Students will make a moral or ethical statement in their work and use elements of the Neoclassical style to communicate their message.

Students are introduced to the technology of flexible circuits, some applications and the photolithography fabrication process. They are challenged to determine if the fabrication process results in a change in the circuit dimensions since, as circuits get smaller and smaller (nano-circuits), this could become very problematic. The lesson prepares students to conduct the associated activity in which they perform statistical analysis (using Excel® and GeoGebra) to determine if the circuit dimension sizes before and after fabrication are in fact statistically different. A PowerPoint® presentation and post-quiz are provided. This lesson and its associated activity are suitable for use during the last six weeks of the AP Statistics course; see the topics and timing note for details.

In the first video segment, we describe the fundamental postulate of statistical mechanics. The direct product notation we introduce in the second segment helps us to discuss the states available to a collection of many parts, which helps us, in turn, to derive the Boltzmann factor in the third segment. The fourth video segment explains how the Boltzmann factor helps us to calculate average properties for systems in thermal contact with large baths and introduces entropy (Greek letter sigma), free energy (F), and the partition function (Z).

Students will encounter the concept of a distribution, along with parameters that describe a distribution's "typical" values (average) and a distribution's spread (variance). To understand simple distributions and uncertainty propagation in the coming sections, it is necessary to be familiar with the concept of statistical independence. When two variables fluctuate independently, their covariance vanishes, and the variance of their sum is the sum of their variances.

TED Studies, created in collaboration with Wiley, are curated video collections 逖 supplemented by rich educational materials 逖 for students, educators and self-guided learners. In Visualizing Data, TED speakers shake up statistics with elegant, dynamic representations that make mountains of data comprehensible 逖 and even exciting. Learn how to visualize data and present complicated statistics in elegant and captivating ways. Relevant areas of interest, study and coursework include: information design, demography, statistical literacy, economics, sociology, media studies, linguistics, meteorology and computer science.

La statistique est la branche des mathématiques qui consiste à recueillir des données, puis à les analyser afin d'établir des hypothèses utilisées pour prédire des évènements.

Les statistiques sont les données recueillies et celles obtenues à partir de calculs.

Students will understand that livestock face multiple challenges and many people are involved in solving those challenges.

This is the first lesson in a sequential unit. Students look at and discuss still-life paintings and develop a definition for the genre. They then further their understanding of this type of painting and practice watercolor techniques by painting their own still lifes from direct observation. Art production focuses on the tools used to create the illusion of three-dimensional space and convey texture in watercolors.

This lesson is part of a sequential unit. Students choose meaningful objects for a still-life arrangement and paint it using watercolors. After reflecting on their choice of objects and composition, students begin to write an artist's statement.

This lesson is part of a sequential unit. Students paint the same still-life arrangement from Lesson 2, but in an opaque medium. They compare similarities and differences of working with the transparent and opaque mediums and refine their artist's statements.

This lesson is part of a sequential unit. Students display the two still-life paintings that they created in previous lessons along with their artist's statements. They write a review of a peer's work and discuss all of the paintings in a group critique.

Students will plan and design a still life composition. When composing the still life, students will choose objects that emphasize a variety of shapes and textures, and arrange the objects to reflect balance. Next students will create a photographic still life and use it as inspiration to write a poem. Then students will present the still life photograph and poem to the class.

Even when we model the dynamics of the abundances of molecules inside biological systems using calculus, it is important to remember that underlying behavior can be apparently random ("stochastic"). Even a deterministic system containing components moving in periodic ways can, at early times, support dynamics that appear disordered. The behavior of systems containing complicated collections of interacting parts can be difficult to predict with accuracy (chaos). Finally, systems can display stochasticity because the outcomes of measurements on quantum systems are indeterminate in a fundamental way. Random processes are modeled using Markov models.

This folktale is about three monks who visit a village filled with unhappy people. The villagers do not welcome the monks, so the three monks decide to make stone soup to teach the villagers a lesson in happiness.