have explored transformations you have used, observed, or imagined. You have also worked with figures that are similar and have learned how to calculate angles and side lengths to identify similarity. 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.

Question

have explored transformations you have used, observed, or imagined. You have also worked with figures that are similar and have learned how to calculate angles and side lengths to identify similarity. 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.

Answer 1

For my scale model design, I have chosen to model a famous landmark, the Eiffel Tower. I will use a scale factor of 1:100, meaning that every centimeter on my model will represent 100 centimeters (or 1 meter) on the actual Eiffel Tower.

One significant item on my model will be the height of the tower. The Eiffel Tower stands at a height of 330 meters, so on my model, it will be 3.3 centimeters tall. To determine this calculation, I multiplied the actual height by the scale factor (330 meters x 1/100 = 3.3 centimeters).

Another significant item on my model will be the width of the tower's base. The base of the Eiffel Tower is 125 meters wide, so on my model, it will be 1.25 centimeters wide.

To create these mathematically similar dimensions, I will need the mathematical skill of proportionality. I will need to set up the ratios between the actual dimensions and the dimensions on my model and solve for the unknown values.

For example, to determine the width of the base on my model, I can set up the proportion:

125 meters / x = 1 meter / 1.25 centimeters

Cross-multiplying gives me:

125 meters * 1.25 centimeters = x * 1 meter

156.25 meters = x meters

Therefore, the width of the base on my model will be 1.25 centimeters.

Some outside sources I may need for the calculations include measurements and dimensions of the actual Eiffel Tower. This information can be found from reliable sources such as architectural books, websites, or official documents.

Answer 2

make that a lot shorter

Answer 3

For my scale model design, I will model the Eiffel Tower using a scale factor of 1:100. This means each centimeter on my model represents 100 centimeters in the actual tower.

Two significant items on my model will be the height and base width of the tower. To determine these calculations, I will multiply the actual measurements by the scale factor. For example, if the tower's height is 330 meters, it will be 3.3 centimeters tall in my model.

The mathematical skill I will use is proportionality to set up ratios and solve for unknown values. I may need to refer to outside sources such as architectural books or websites to obtain accurate measurements of the Eiffel Tower.