Geoboards with Ms. Hatch

Mrs. Hatch’s students used a geoboard to explore perfect squares and square roots. Students modeled various squares and analyzed their area and perimeter. Students noticed that perfect squares represent the area of a square whose side length are the same, such as 5 X 5 which has an area of 25. Therefore, 25 is a perfect square. Students then constructed all the possible perfect squares in order from least to greatest. Students made the conjecture that if you know the length of a side of a square then you can figure out the area by squaring the side. Furthermore, if you know the area of a square you can figure out the side length by take the square root of the area.