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## Pixar in a Box

### Unit 12: Lesson 2

Mathematics of subdivision- Start here!
- Weighted average of three points
- Weighted average intuition
- Weighted average of three points
- 2. Weighted subdivision
- Weighted subdivision
- 3. Fun with weights
- Interactive: Weighted subdivision
- Subdivision weights
- Bonus: Equations for points in subdivision

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# Start here!

Overview of this lesson

## Ready to dive in?

In this lesson we are going to develop the mathematics behind the

**subdivision operation.**We used subdivision in the previous lesson to make smooth shapes like this:**weighted averages of three points**.

Next we'll look at how weighted averages are used during the subdivision operation. This will tell the points where to go after we click

*average*:

But if we aren't careful with the

**weights**used in the

**averaging step**we'll get funky behaviours like this:

By the end of this lesson you'll understand how computer modeling tools work underneath the hood. You'll be able to describe

*mathematically*why those points move the way they do.# What do I need to know before starting?

- You should be familiar with how to calculate the
**weighted average of two points**. We covered this in the Environment modeling lesson here. - You should have mastered grade 6 level algebra (this exercise should be easy for you)

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