More patterning and making equations

We made linear patterns, where the growth is the same each time…

And some quadratic patterns which show growth that is not the same each time.  He growth grows each time by the same amount.

We are working on making the colours help us with creating equations.

Here we have 2n^2+3n.  We have two squares that have side length n, and then we have three segments that are n units long, arranged to make a T.

Here we have a n by n square in green, and two groups of n, in blue, and a constant of 1.  He expression for this is n^2+2n+1
It’s pretty neat once you get the hang of colour coding the patterns.