A Three-Act Task is a whole-group mathematics task consisting of three distinct parts: an engaging and perplexing Act One, an information and solution seeking Act Two, and a solution discussion and solution revealing Act Three.
ACT 1: Engage and Perplex
ACT 2: Seek Information and Solutions
ACT 3: Reveal, Discuss, Extend!
The idea is to introduce a fun, engaging topic in Act One. Grab the students' attention without revealing too much. This should be something fun and intriguing to them. In Act Two, students are simply asked "what information do you need to know?" This is where students will discuss with each other, ask questions, participate, engage in the lesson, gather formulas, perform calculations, etc. The teacher tries to stay out of it at this point, allowing them to develop their own process. Act Three is where the big reveal happens and the teacher can the extend the topic and lesson further.
Nana's Lemonade
A three-act task for making lemonade taste the same as a sample.
Popcorn Picker
A three-act task for 7th grade geometry.
Bubble Wrap
A three-act task for 6th grade geometry.
Dan Meyer's Three Act Tasks
These are great Middle School activities for incorporating the three acts of teaching math (engage, seek information, reveal)