Pick's theorem poster
Pick's Theorem Poster
Age
11 to 14
Challenge level
Problem
This poster is based on the problem Pick's Theorem.
The poster is available as a PDF, or the image below can be clicked on to enlarge it.
Student Solutions
The formula linking $p, i $ and $A$ is $A = \frac12p + i - 1$
Trying out different shapes, you can find a pattern:
Image
$p$ increase by $1$ $\Rightarrow A$ increase by $\frac12$ (down table)
$i$ increase by $1$ $\Rightarrow A$ increase by $1$ (across table)
So $A = \frac12p + i - 1$