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

Описание: 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)

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