Justifying the Product Rule for Exponential Expressions
Josh and Arobindo write two equivalent exponential expressions that represent the growth of a magical beanstalk over any two consecutive time periods. In doing so, they justify a rule for rewriting exponential expressions of a certain form.
Episode 1: Making Sense
The students create two equivalent expressions that both represent the height of the beanstalk 5 days after Day 2, and create a number line to represent these expressions
Episode 2: Making Sense
Arobindo and Josh create two equivalent expressions that both represent the height of the beanstalk 18 days after Day 2, and create a number line to represent these expressions.
Episode 3: Repeating Your Reasoning
The students create an expression that represents the height of the beanstalk any number of days after Day 2, and create a number line to represent this expression.
Episode 4: Repeating Your Reasoning
The students create an expression that represents the height of the beanstalk 5 days after an unknown start date, and create a number line to represent this expression.
Episode 5: Reflecting
Josh and Arobindo determine whether or not two exponential expressions are equivalent.
Episode 6: Reflecting
Arobindo and Josh interpret several exponential expressions using a number line.
Episode 7: Reflecting
The students create two equivalent exponential expressions that both represent the height of the beanstalk any number of days after an unknown start date. They justify these expressions using a number line.