Today was the first day of the AP Calculus AB projects. Here are the 5 presentations from Day 1. More to come tomorrow.

**Origami**

Cube octahedron Butterfly

This student gave a verbal presentation on the origins of Origami. She showed us various ones she had made, including the 2 above. She described what made up the cube octahedron and other various pieces she had made. She then demonstrated how to make another piece fold by fold.

**String Art**

Fibonnaci sequence

Another one by hand

Presentation: Math and String Art

**Math in Rainbows**

Video explaining their project and how rainbows are made here.

Video of them creating rainbows here.

__How to Solve a Rubik’s Cube__

This student had zero experience with a Rubik’s Cube and decided to figure out the algorithm to solve a Rubik’s cube. After she learned the algorithms she recorded herself solving it and showed us every single algorithm. She then put together a nice video explaining it here: https://vimeo.com/130179285

Presentation: How to Solve a Rubik’s Cube Using Algorithms

**Coke Bottle Revolution**

Desmos to model the shape of the bottle.

Fitting a curve. Actual volume was 355mL

Adjusting to where coke actually starts.

Adjusting for thickness of the glass and vertically shifting curve down.

Final Calculation.

The actual volume was 355mL so this group calculated a 3.45% error.

Presentation: Solids of Revolution ft. Coke

__Mathematical Programming__

Inspired by Dan Anderson (2 doors down, always nice.) Some good math “art”

Open Processing Loops (Non-interactive)

Open Processing (Interactive)

Presentation: Calc final Presentation

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