Click on the link below and let students take part in an interactive magic trick:
- What did you notice? Record responses.
- What do you wonder? Record responses.
- How does she keep winning?
- What strategy(ies) does she use to win?
Write a hypothesis: How do you think she is winning? What would be an unreasonable hypothesis?
Use what students noticed from Act I and have students investigate the trick either with a calculator and a partner or online using this link (note: flash player is needed):
Students may work with a partner or individually. As students investigate, have them use materials to model unknown quantities and known quantities. Students should write discoveries, representations of models and expressions/equations in their journals/notebooks.
- Students share their strategies and solutions.
- Teacher facilitates students’ developing understandings of generalizations of quantities with algebraic representations through discussion.
- Teacher may wish to encourage students to begin using Scratch to code their own math magic trick.