Welcome, I will be sharing with you some open educational resources for K-12 mathematics instruction. There exists a vast array of such resources, and I'll be showing you just a few examples of the types of materials you might find and incorporate in a virtual learning space or in a traditional face-to-face course. Let's begin by talking about open resources for mathematics lesson plans and content. One of my favorites is the Engage New York site. In the United States, many schools have adopted the Common Core Standards and instructors are rapidly trying to redesign their course curriculum to adhere to the new standards. Engage NY has a set of comprehensive instructional materials and assessments organized by grade level and correlated to the Common Core Standards. The materials are organized by grade level and broken down into modules containing pre, mid, and post assessment plus full lessons. Each lesson is clearly tied to a particular Common Core Standard. A similar resource is the Illuminations material created by the National Council of Teachers of Mathematics, or NCTM. The Illuminations site has full lesson plans and activities for a wide range of K-12 mathematics topics. Their online activities are particularly noteworthy, and try to foster student excitement and enthusiasm for mathematics. Once again, the lessons are organized by grade level and correlated to the standards. Another lesson plan resource is that of the Discovery Education which is hosted by Discovery Chanel. The Discovery Education online site has a number of high quality, engaging lessons, many with video components. These lessons particularly focus on applications of mathematical materials to the real world, and would make nice additions for motivating a topic in a virtual learning environment. A final lesson plan resource is that of the Drexel Math Forum. In the Drexel Teacher Exchange, teachers can find lessons as well as contribute their own lessons. There exist a wide range of lessons with many more creative implementations than we've seen in the previous sites. The quality of these lessons varies a bit, but there do exist many high quality lessons with supporting activities, worksheets and hand-outs. Now that we've seen some sources of full lessons in content, let's talk about some open supplementary instructional resources that might be useful to integrate in virtual learning space. The Home School Math website, though designed for home school parents, has some useful resources for teachers as well. Of particular note, are the extensive math worksheets available for grades one through seven. There's also a nice list of online math games designed to make math practice fun and enjoyable. A popular resource you're probably already familiar with is that of the Khan Academy. The Khan Academy has an extensive set of videos for K-12 mathematics Plus assessments and practice exercises. For those of you interested in a flipped or hybrid instructional model, the Khan Academy has support resources for instructors who want to utilize their materials to flip their class. Meaning that you have the students watch videos at home, and during class time you engage with the students in problem solving. this would also work in a virtual learning environment. For high school level mathematics videos, a very nice resource is Patrick's Just Math Tutorials. This site has a comprehensive set of tutorials for arithmetic, algebra, trigonometry and calculus. The videos are short, just three to eight minutes in length, but each of them gives clear, mathematically precise explanations and examples on a particular math skill. Finally, for younger children, IXL has a great set of math games for grade school children. IXL has a very huge array of games organized by grade level, with some grade levels having almost 300 distinct games. These games are particularly suitable for integration into a virtual course, and allow a teacher to diversify their instruction. And let each student work on a topic until they've achieved mastery. The final set of open resources for mathematics that I'd like to share with you are some enrichment materials. These are things you might need to challenge your gifted students or engage your class beyond the traditional curriculum. MathWire is one such source. MathWire has a decent set of math enrichment materials on novel math topics plus some great problem solving and logic games. Cut the Knot is a site with a hodgepodge of recreational and educational math materials. Particularly noteworthy for teachers is their games and puzzles section. The also have nice resources on advanced math topics which are suitable for gifted middle school or high school students to study. Finally, if you organize a math club or train a math competition team, the Art of Problem Solving site may have a useful resources for you. This site has very few resources itself, but it does have a huge list of links to useful materials. This is a fantastic place to access an array of challenging math competition type problems plus good problem solving guides. As you've hopefully seen, there exists a vast array of open K-12 mathematics resources. Many of these open lesson plans, textbooks, games, and other sources may be well suited for adaptation into a virtual or a traditional classroom experience. I hope you will have fun exploring these and other open math resources, thanks.