Exponentials Lesson 5

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.