Lesson 1:

1. Introduction to Mathematical Induction - Definition and Overview
2. Theory and Example of Mathematical Induction a. Basis Step b. Inductive Step
3. Tools and Techniques of Mathematical Induction

Lesson 2:

1. Introduction to Divisibility - Definition and Overview
2. Basics of Divisibility: Factors and Multiples
3. Rules of Divisibility a. Divisibility by 2, 3, 4 and 5 b. Divisibility by 6 and 9 c. Divisibility by 10
4. Proofs of Divisibility - Examples and Practice Problems

Lesson 3:

1. Advanced Uses and Applications of Divisibility Rules
2. Practice Problems and Examples Using Divisibility Rules
3. What to Look Out For - Common Misconceptions
4. Conclusion and Summary