Algebra
Area Investigation
Area Investigation
You will use these skills in research and scientific reports, meterology, biology, computer science, aeronautics, physics, construction
You will be able to:
Create a consistent measurement unit or method to measure distances
Find a pattern in solving for area
Create a formula or expression which can be used to repeat the process
At the front of the school there are several garden beds.
Ambrit has decided to replace the grass with artifical grass within each garden bed.
We need to know how much grass to order and how much it will cost.
Instructions
Draw a map of the garden beds at the front of the school.
We currently do not have measuring tapes or trundle wheels available. Create your own unit of measurement that can be used to measure around each garden bed consistently (e.g. 1 length of your foot = 30cm). Measure it out take the tool down to the front of the school.
Note down the measurements for each garden bed on your map, e.g. the boundaries of each garden bed.
Think of a method or way of calculating the area inside each garden bed (approximate is fine) using only the boundary measurements taken. Explain your method and show the calculations for each.
The artificial grass is 1m x 1m squared and at a cost of 15€ per square metre. How many squares will fit into each garden bed (approximately) and what is the total area of grass needed to be covered?
How much will it cost overall?
Can you repeat this process for a much larger space?
Calculate the area of each park within the city of Rome using your method/formulae. Use google maps to map out each park.
Extension - Most of the Ambrit garden beds are not symmetrical. Can you come up with a method to calculate the error in measurement of each unit and each garden bed?
Research and calculate the percentage error of 1 garden bed.