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.

1. Counting using the grid plane
2. Arithmetic with rectangles
3. Number systems throughout history
4. The Hindu-Arabic number system
5. Laws of arithmetic using geometry
6. Fun with polyominoes
7. Addition and the names of numbers
8. Addition in practice
9. Multiples, and more names of numbers
10. Word problems using addition
11. Elementary projective (line) geometry
12. Pappus and Pascal
13. Logical reasoning with tic-tac-toe
14. The multiplication table
15. More multiplication: The 10x10 table
16. Some tricks to help with multiplication
17. Area problems using multiplication
18. The time scale of a human life
19. An introduction to measuring

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The series is meant for those who are teaching public or high school, parents who have children in those years, and anyone who would like to strengthen their understanding of the subject.