Curve

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/curve

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 differential geometry?Studies properties like curvature and torsion using calculus
2. What is the computational application?Bezier curves and NURBS are fundamental to computer graphics and CAD software
3. Why do scientists and engineers use curves?Curves help describe how objects move, how waves travel, and how to design smooth shapes for cars, planes, and bridges. They also let us calculate areas, lengths, and forces.
4. How do we measure how bendy a curve is?The bendiness is called curvature. A straight line has zero curvature, while a circle has the same curvature everywhere.

Parametric Equation: Equations that express coordinates as functions of an independent variable called a parameter.
Derivative: Measures the instantaneous rate of change of a function, representing the slope of a curve.
Integral: Used to calculate the area under a curve or the length of a curve.
Curvature: A measure of how sharply a curve bends at a given point.