Earth's climate sensitivity, or its temperature response to a given change in radiative forcing, is a central quantity in climate science and governs the severity of global warming. For decades it has been estimated at around 3 K per doubling of CO2, primarily using a succession of numerical models whose complexity has increased dramatically over time. It was first credibly estimated, however, by Manabe and Wetherald in 1967 using a relatively simple onedimensional representation of Earth's climate known as radiative-convective equilibrium. It was largely for this work that Manabe received part of the 2021 Nobel Prize in Physics.Here we revisit the notion of radiative-convective equilibrium (RCE), and present a simple model of RCE suitable for blackboard exposition. We then combine this RCE model with simplified treatments of CO2 and H2O radiative transfer to obtain analytic formulae for the radiative forcing from CO2, as well as the water vapor feedback, thus enabling a chalkboard estimate of climate sensitivity in the context of radiative-convective equilibrium. Along the way we introduce key paradigms in climate dynamics and greenhouse gas physics, including the emission level approximation, the forcing-feedback decomposition of climate sensitivity, and 'Simpson's Law', which states that thermal emission from atmospheric water vapor is insensitive to surface temperature. We close by discussing the many important phenomena unaccounted for in this radiative-convective equilibrium framework, such as clouds, changes in absorbed solar radiation, and carbon cycle dynamics, which may be ripe for their own chalkboard treatments.