Algebra I #3.11b, Consecutive integers – Odd or Even

Main Learning Objective:
Understand and algebraically represent consecutive integers, consecutive odd integers, and consecutive even integers, including writing and simplifying expressions for their sums.

Key Takeaways:

• Consecutive integers follow one another in sequence by adding or subtracting 1 (e.g., x, x+1, x+2).
• Both consecutive odd and consecutive even integers skip count by 2 (e.g., x, x+2, x+4).
• The sum of four consecutive integers simplifies to 4x + 6.
• The sum of four consecutive odd integers and four consecutive even integers both simplify to 4x + 12 because both types skip count by 2.