Counting using the grid plane | Elementary Mathematics (K-6) Explained 1 | NJ Wildberger скачать в хорошем качестве

Counting using the grid plane | Elementary Mathematics (K-6) Explained 1 | NJ Wildberger

We start this course in elementary mathematics suited for a general audience by introducing geometry in the simplest possible way: by using a sheet of graph paper as the basic model, and then doing some simple arithmetic in a geometrical context. We introduce the horizontal and vertical lines of the grid plane, grid points, segments and rectangles, along with the idea of measuring their sizes. This is a good place to start practicing counting: and we count a number of interesting things associated to a rectangle, including numbers of sub rectangles of a certain size, paths from one corner to another, and tilings by 1x2 or 2x1 dominoes. Video Contents: 00:00 Elementary mathematics Explained 03:24 Grid Plane - Introducing geometry 09:26 Some unstated assumptions or conventions 16:47 Segments and rectangles 20:21 Notation 28:19 Length and area of segments and rectangles 31:50 Alternate notation 36:05 Counting 46:09 Tilings by 1×2 or 2×1 rectangles ( dominoes) ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary. My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/... My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things. Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects! If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at   / njwildberger   Your support would be much appreciated. Here are the Insights into Mathematics Playlists:    • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist   Here are the Wild Egg Maths Playlists (some available only to Members!)    • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist      • Playlist   ************************