To connect all nine dots using five straight lines, start by visualizing the dots arranged in a 3x3 grid. Begin at the bottom left dot, draw a line diagonally upwards to the top right dot, extend the line out past the grid, then draw a line horizontally left to the top left dot, down to the middle left dot, and finally draw a line diagonally down to the bottom right dot. This approach allows for all dots to be connected without lifting your pen.
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5 straight lines are needed to construct a pentagon.
It will be 1 + 2 + 3 + 4 + 5 + 6 = 21 dots
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One visualization of multilication is to consider (say 7 x 35) as a grid of dots, 7 dots wide and 35 dots high. Then count up the number of dots in that rectangle. Perhaps simpler is to multiply 7 x (30 +5) = 7 x 30 + 7 x 5; = 210 + 35 = 245.