Put transformation and similarity concepts together to plan a design for a scale model. Showing how these concepts effectively work in the real world involves clear communication and the ability to defend your conclusions to others.
In your post, describe your design to your peers:
State the real-world figure you will model and the scale factor you will use.
Identify at least two different but significant items on your model.
Explain how you will determine the calculations and dimensions for these items to make them mathematically similar to the actual items.
Describe the specific mathematical skills you will need to create the design and give examples.
Describe some outside sources you may need for the calculations.
I will be creating a scale model of the Eiffel Tower, using a scale factor of 1:100. This means that every 1 unit on my model will represent 100 units on the actual Eiffel Tower.
Two significant items on my model will be the height of the tower and the proportions of the arches at the base. To ensure that these items are mathematically similar to the actual Eiffel Tower, I will need to calculate the dimensions using the scale factor. For example, if the actual height of the Eiffel Tower is 324 meters, I would need to divide that by 100 to get the height of my model. I would need to use similar calculations for the arches at the base.
To create the design, I will need mathematical skills such as proportionality, ratios, and conversions from actual measurements to scaled measurements. For example, I will need to use proportions to ensure that the height and width of the tower on my model are scaled correctly. I will also need to calculate the angles of the arches using trigonometry to maintain the correct proportions.
For the calculations, I may need to reference architectural drawings of the Eiffel Tower to ensure accuracy. I may also need to consult with engineers or architects to verify my calculations and dimensions. Additionally, I may need to use graphing software to visualize the design before constructing the model.