SteveStrummerUK
A while back, my good friend Colin asked me to explain the red shift to him.
First off, I used the standard analogy of a speeding ambulance and how the pitch of the siren drops as it passes the observer.

Something along the lines of: The perceived pitch of the note is lower when the ambulance is moving away as the wave-fronts are reaching our ears less often, so as the frequency decreases, so does the wavelength (from λ = v/f). The opposite is true when the ambulance is approaching - the frequency of the wave reaching our ears is increased, hence the perceived wavelength increases too.
I’ve read some of your other science-y conversation starters in the past and I just figured you confused the long and short of it when discussing wavelength and frequency.
In general chemistry when we get to the section on quantum mechanics and we start discussing the wave equation and electromagnetic radiation I put up diagrams showing waves and the relationship between wavelength and frequency, the relevant wave equation, a linear scale with the colors of the rainbow on it and the equation for the energy of a photon (in terms of either wavelength or frequency). The kids usually don’t have any trouble with the algebra part and the fact that wavelength and frequency are inversely proportional … BUT … when it comes to the verbiage of wavelength and frequency and their relationship to each other and their correspondence to energy (i.e., the photon part) the kids have a meltdown.
I usually put something like this up on the board (next to all the diagrams and equations) so the kids get a feel for the words we use and the descriptions they will be seeing in their word problems when we characterize light in terms of wavelength, frequency (wave model) and energy (particle model) and compare different colors of light and/or energies of the corresponding photons.
Red Light vs
Blue Lightlow energy (photon) high energy (photon)
low frequency high frequency
long wavelength short wavelength
small frequency large frequency
large wavelength small wavelength
decreasing frequency (relative to blue) increasing frequency(relative to red)
increasing wavelength (relative to blue) decreasing wavelength (relative to red)
I’ve seen all of these expressions used and more. The point is it can be confusing (large and small are very confusing but again, I’ve seen them used) when describing two characteristics of something when they are inversely related to each other.