First, students will learn how to prove polynomial identities.
Watch these Khan Academy videos, in order:
Polynomial identities by Khan Academy
Next, students will learn how to prove that the differences between the consecutive square numbers, are the consecutive odd numbers.
Describing numerical relationships with polynomial identities by Khan Academy
Next, give your students these challenges:
- The Sum of the Ends by MAA
Find the area of the red region:
Here's the solution.
Conclude by leading this investigation:
Square Dance (patterns)
by MathPickle