equally-sharing-a-cake-between-three-people-numberphile

# Interactive video lesson plan for: Equally sharing a cake between three people - Numberphile

#### Activity overview:

Audible (30-day trial, free audio book): https://www.audible.com/numberphile
More links & stuff in full description below ↓↓↓

This video features Dr Hannah Fry.
More videos with Hannah: http://bit.ly/hannah_vids
Hannah's website: http://www.hannahfry.co.uk
Her book mentioned is "The Mathematics of Love".

Envy free cake cutting (the paper mentioned): https://arxiv.org/abs/1604.03655

A clarifying note from Hannah: n^n^n^n^n^n is the maximum number of cuts in the n person case.

Something we could have made clearer... Bob's trimmed piece still carries the status of his "first choice", so if Charlie leaves it, Bob will (must) pick it... otherwise he'll pick the one that was his original "second choice"... The upshot of this is that there's no chance Alice will be left with the trimmed piece after everyone takes their first piece. And Bob remains envy free under these conditions too.

A trilogy of mathematical cake cutting videos... http://bit.ly/CakeCuttingTrilogy

Editing and animation in this video by Pete McPartlan

Discuss this video on Brady's subreddit: https://redd.it/72jyww

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

NUMBERPHILE
Website: http://www.numberphile.com/
Subscribe: http://bit.ly/Numberphile_Sub

Patreon: http://www.patreon.com/numberphile

Tagged under: numberphile,cake,cutting,share

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

Play this activity

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

## Ready to see what elsecan do?

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

### Spiral Reviews by Teachers and Digital Learning Coaches

@kklaster

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

@ordmiss

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

@strykerstennis

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!