Introduction to Fractional Exponents
The students begin to explore the height of a magic beanstalk at times between Day 0 and Day 1. Specifically, the investigate the height of a beanstalk on Day ½, day ¼, and Day ⅓.
Episode 1: Making Sense
Josh and Arobindo review the mathematical relationships on a timeline that represents the growth of a beanstalk that triples in height each day and has a height of 1 cm on Day 0.
Episode 2: Exploring
The students use their timeline to find the height of the beanstalk on Day ½.
Episode 3: Repeating Your Reasoning
Josh and Arobindo use their timeline to find the height of the beanstalk on Day ¼.
Episode 4: Repeating Your Reasoning
Arobindo and Josh use their timeline to find the height of the beanstalk on Day ⅓.
Episode 5: Reflecting
The students reflect on how a beanstalk grows over each half day.