# Exponentials Lesson 1

### Investigating the Growth of Magical Beanstalks

Arobindo and Josh explore the growth of magical beanstalks. These beanstalksâ€™ heights increase by the same factor each day. In this lesson, the students draw pictures that show these factors. They also explore how the beanstalks are growing over several days.

##### Episode 1: Making Sense

Josh and Arobindo explore the growth of a beanstalk whose height quadruples each day. They create drawings that show the growth of the beanstalk over several days.

##### Episode 2: Making Sense

The students watch a video of the beanstalk growing. They describe what they notice about how it is growing.

##### Episode 3: Exploring

Arobindo and Joshua use an applet to determine how a new beanstalk is growing.

##### Episode 4: Exploring

The students determine the factor by which the beanstalk is increasing over several time periods.

##### Episode 5: Repeating Your ReasoningÂ

Josh and Arobindo draw pictures that show the relationships they found in the previous episode.

##### Episode 6: Reflecting

Arobindo and Josh mark in mathematical relationships on a picture another student has drawn to show the factors by which a magical beanstalk is growing.

##### Episode 7: Reflecting

The students describe how a beanstalk is growing between Days 100 and 102.