Yes, I said calculus. Delta and Gamma can be represented as derivatives of price, and in my opinion, this is a good way to visualize and remember how these greeks actually affect the value of your contracts. WHAT ARE THEY? Delta (Δ): Delta is a value between 0 and 1 for calls and -1 to 0 for puts. It represents the sensitivity of an options price to a $1 change in the value of the underlying asset. Gamma (Γ): Gamma is a value between 0 and 1 for both calls and puts, and it represents the sensitivity of Delta with respect to the value of the underlying asset. EXAMPLES If a call option has a Delta of 0.6, a $1 increase in the stock price will increase the option’s price by $0.60. If a put option has a Delta of -0.4, a $1 increase in the stock price will decrease the option’s price by $0.40. For either a call or put, If Gamma is 0.05, and the stock price increases by $1, then Delta will increase by 0.05. This compounds the contracts ability to move, because as price goes up, not only does the value of the contract itself go up due to delta, but delta increases at the same time, making the contract price change in our scenario larger per each point it moves in that same direction. A POTENTIALLY BETTER WAY TO VISUALIZE This concept may seem hard to grasp at first, but thinking of it mathematically can make it easier to visualize, as it did for me. Here, i will use the most practical applications of calculus to make these greeks easy to think about REDEFINE Delta (Δ): the derivative of the option price (V) with respect to the price of the underlying asset (S) Δ= ∂V​/∂S Gamma (Γ): the derivative of delta with respect to the price of the underlying value, OR the second derivative of the asset price. Γ=∂Δ/∂S​=∂^2V​/∂S^2 VISUALIZATION You can't write equations here so they are kind of janky, but here comes the useful part: these derivatives can be visualized as driving a car. Option Price = Position: think about your contract's value as a car you are driving. At any given time, your position is the exact point your car is located, in the case of options, this is the exact price of your contract at a given time. Delta (Δ) = Speed: when you are driving, speed is the rate, or how fast, you change position. This is what Del;ata is to a contract because delta is the rate of change in value of the contract. So as you speed up (as delta increases), your position changes faster (the value of your contract changes faster). And in the case of options, as the price of the asset increases (as you get further from the starting point) Delta increases. Gamma (Γ) = Acceleration: acceleration is the speed at which your speed is changing. The further you press the gas pedal down, or increase the car's acceleration, the faster your speed is going to increase. This is exactly the relationship Gamma has to Delta, in that as Gamma increases (acceleration), Delta goes up at a higher rate (speed goes up faster). In our use case, acceleration is the highest at the strike price, and tapers off the farther away it gets. CONCLUSION Hopefully this offers a better way to understand the way these two Greeks affect the price of options. This is a good representation for me in my head, but i'm not sure if it translated well to writing, and i didn't proofread this lol. Lmk in the comments if i can clarify anything or if there is anything else you want to learn about.