AP Calculus Projects Day 1 – 2015

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

Origami

IMG_1190        IMG_1191

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

IMG_1192

Fibonnaci sequence

Another one by hand

IMG_1193

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

CaptureDesmos to model the shape of the bottle.

Capture1Fitting a curve. Actual volume was 355mL

Capture2Adjusting to where coke actually starts.

Capture3Adjusting for thickness of the glass and vertically shifting curve down.

Capture4Final 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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