Calculating Tree Height

A challenge was presented to the class this week, to calculate the height of the trees on the playground to the nearest centimeter safely and using math.  After analyzing the situation on the playground yesterday, eventually the class realized that if they used ratios and proportions they could complete the challenge.

After a day of posed practice problems in the classroom, student groups set out today to find several tree heights.  First, they measured the height of one of their members, as well as the person's shadow.  They then set this ratio up into a proportion against the tree's height (a variable) and the length of the tree's shadow.  Returning to the classroom and using calculators and a team effort, students successfully (we imagine, as it will be hard to actually calculate without climbing) found the heights of the trees.

It was fantastic to see the excitement of everyone as they raced against time as well as the sun coming and going out from behind the clouds.