The objective of this project is to learn about roof pitches and to use trigonometry and technology to analyse different roof pitches in the neighbourhood. To do this project, you need to take photos of three different roofs. You should have permission to take the photos so they can be of your own house, a friends’ house, a local business. You also need to take a measurement of part of the photo to be able to scale it correctly on GeoGebra. On one roof, you will need several photos/measurements to be able to calculate the surface area.
Project Components and Suggested Structure:
Page 1: Title page & introduction. This page should have the title of your project, your name & date and perhaps an image. The introduction should describe the objective of the project. You should state on the title page whether you are using feet and inches or meters and cm as your unit of length.
Page 2: Roof #1 Photo and analysis. Measure run, rise and calculate the angle of elevation.
Page 3: Roof #2 Photo and analysis. Measure run, rise and calculate the angle of elevation.
Page 4: Roof #3 Photo and analysis. Measure run, rise and calculate the angle of elevation.
Page 5: Surface area calculation. Choose one of the roofs you have already studied. Calculate the total surface area of the roof. Draw diagrams and explain your calculations. Calculate the cost of materials if the roof is replaced with a metal roof at $12 per square foot ($130 per square meter).