Designing with Proportions What is proportionality? How do you use a scale factor to create proportionality?
What is a Proportion? An equation stating that two ratios are equal.
What does proportional mean? Having the same or a constant ratio Are the four sides of these quadrilaterals proportional?
Scale Factor When you compare corresponding measurements of proportional objects, you get a ratio. This ratio is called the scale factor.
How are scale factors used? (sample student answers) Maps Models Drawings Movie miniatures
Are dolls and action figures accurate models? Are their measurements proportional to real people? Are they proportional to the environment that they live in?
How do reality and imagination coexist?
Your Goal: Design a doll or action figure Create an environment in which that character would live (dream house, secret lair, vacation motor-home, etc.) Decide how tall your character would be in real life and how tall its figurine would be. Use these measurements to create a scale factor.
Math Man and his Magical Mathematical Mansion! Scale Factor: 6 inches = 7 feet Simplifies to: 1 inch = 1 1/6 feet Scale Factor: 6 inches = 7 feet Simplifies to: 1 inch = 1 1/6 feet