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### Course: Pixar in a Box > Unit 2

Lesson 2: Mathematics of animation curves- Start here!
- Linear interpolation
- Repeated linear interpolation
- 1. Mathematics of linear interpolation
- 3. De Casteljau's algorithm
- Construção de curvas usando interpolação linear repetida
- 4. What degree are these curves?
- Bonus: Equations from de Casteljau's algorithm

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# Start here!

# Ready to dive into some math?

In this lesson we are going to uncover a really useful way to construct

**Bezier curves**of various degrees using de Casteljau's algorithm.We'll begin by reviewing how we do linear interpolation using the slope intercept form of a line.

Then we'll revisit de Castlejau's algorithm using three points which was covered in the Environment modeling topic.

Finally we'll extend this construction to

**cubic curves**which are used in animation at Pixar. We'll even see how it works for curves of*any degree*.# What do I need to know before starting?

- Slope intercept form (click here to review with Sal)
- Complete the calculating parabolas lesson