Proportionality

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/proportionality

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the historical significance?Central to Euclidean geometry and foundational to algebraic and calculus-based analysis
2. What is the modern relevance?Applied in computer graphics, data science, astrophysics, and complex system modeling
3. What is proportionality in math?Proportionality means two things grow together so that their ratio stays the same. If one goes up, the other goes up at the same rate.
4. How do we write a direct proportionality equation?We use y = kx, where k is the constant that shows how fast y changes when x changes.

Constant of Proportionality (k): The fixed ratio between two directly proportional quantities or the fixed product for inversely proportional quantities.
Aspect Ratio: The proportional relationship between an image's width and its height, crucial for visual scaling.
Scaling Laws: Mathematical relationships describing how properties of a system change with size.