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How do you evaluate a graph that you see in an advertisement or online? Why do airlines overbook their flights - and how do they decide how many tickets to sell per flight? Is there any strategy to the game of rock, paper, scissors? TED-Ed offers this engaging series of short videos about real-life applications of mathematics. As of this write-up, the series includes almost 90 videos. Some of these videos explore the unexpected ways that math is essential in art and everyday life (for example, in Pixar animations or Van Gogh's Starry Night). Other videos feature riddles for students to solve, followed by explanations of real-world application. And, one video explains the math behind online dating websites. Each video is accompanied by a multiple choice quiz (Think), additional information (Dig Deeper), and an open-ended discussion question (Discuss) to facilitate further student engagement.

For math students and teachers, this series of short videos (10-15 minutes apiece) by mathematician Kelsey Houston-Edwards provides engaging explanations of upper-level mathematics concepts. One example: Houston-Edwards explains graph coloring and how the math concept relates to the popular puzzle, Sudoku. In another video, viewers learn about Pick's theorem and how it can be used to calculate the area of complex polygons. These videos are likely to appeal to viewers with a range of mathematical backgrounds: Houston-Edwards dedicates each video to complex, advanced mathematical concepts, but is also quite skilled at breaking down these concepts with accessible diagrams and simple vocabulary.

Mathematics educator Dan Meyer blogs about teaching math on dy/dan. Meyer shares teaching ideas along with reflections about mathematics curriculum and pedagogy. Those new to the site may want to start with the Archives, where visitors may search through past posts via a variety of subject tags, including Classroom Management, Assessment, and Great Classroom Action (which features a number of creative and engaging classroom activities). A highlight of this blog is Three-Act Tasks, a series of lesson plans centered on student problem solving. These engaging lessons are accompanied by videos that are sure to pique student interest.

Math Snacks is a collection of "[s]mart educational animations, games, and interactive tools that help mid-school learners better understand math concepts." These interactive tools are designed to engage young students - specifically those between third and seventh grade - in mathematics concepts. This website also includes a number of resources to help instructors incorporate Math Snacks into their curriculum, including a teacher's guide (in video format) and a printable student guide. All Math Snacks resources are available in both English and Spanish.

Math at the Core: Middle School is a collection of hundreds of free resources for math students in fifth through eighth grades. Most of these resources are short videos that explain a variety of mathematical concepts. The collection also includes infographics, interactive features, links to outside resources, and more. Math educators and tutors can browse the collection by grade level or by Common Core domains. Common Core domains include operations and algebraic thinking, the number system, geometry, statistics & probability, and more.

Inside Mathematics provides a resource for educators to provide the best mathematics instruction they can for their students. Our classroom doors have remained closed too often and for too long. This work grew out of the Noyce Foundation's Silicon Valley Mathematics Initiative. SVMI is based on high performance expectations, ongoing professional development, examining student work, and improved math instruction. The initiative includes a formative and summative performance assessment system, pedagogical content coaching, and leadership training and networks.

James Stanton, a mathematician, describes his site like this: On this site I present a whole host of curriculum essays, more general mathematical essays, and puzzlers. I offer books that cover the content of the high school curriculum in a joyful and accessible way (with no sacrifice to rigor) respectful of the beauty and wondrous creative nature of mathematics. I show how even high-school mathematics can surprise and delight, and how clean and uncluttered key topics can be.