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Why Is Gamma Highest for ATM Options?

Gamma is highest for At-the-Money (ATM) options because their Delta is most sensitive to changes in the underlying price at this point. An ATM option is at the inflection point where a small move can quickly push its Delta towards 1 (ITM) or 0 (OTM).

This rapid change in Delta means the option's price sensitivity is accelerating fastest, which is the definition of high Gamma.

Explain the Inverse Relationship between Theta and Gamma
What Is the “Gamma” of an Option and Why Is It Highest for ATM Options?
Why Is the Delta of an ATM Option Most Sensitive to Changes in Implied Volatility?
What Is the Relationship between Gamma and Time to Expiration?