First, students will learn what the sum, difference, and power rules for derivatives are, how to prove them, and how to use them to find derivatives of polynomials. Before attempting to understand the proofs, students should be very good at finding derivatives from first principles.
Next, students will be introduced to the differential operator.
Conclude by giving your students these challenges:
- Odd Squares by NRICH
- Tables Without Tens by NRICH
- Arrowhead by NRICH
- A One in Seven Chance by NRICH
- 1999 AMC 8, Problem 17