Sagittarius A-Star said:
I propose the sequence:
- Stipulate that a one way-speed is isotropic in an inertial frame, although the universe cares only for 2-way speeds
- Define (as preparation for the following), what a standard inertial coordinate system is
- Describe the spacetime Geometry with the Minkowski metric
- L-shape light clock: time dilation, length contraction, relativity of simultaneity
- Derive the Lorentz transformation and velocity addition
- Show the Minkowski diagram
- Describe 4-momentum and 4-current / 4-potential to shows the unification of momentum and energy, magnetism and electricity.
- Four-frequency, light aberration and Doppler effect
Bondi would essentially start with the Doppler effect, the invariance of the speed of light, and the principle of relativity on a Minkowski diagram... then (oh, by the way) the rest of the standard textbook stuff follows.
https://archive.org/details/relativitycommon0000bond
(bolding mine)
I. ...The Concept of Force—The Evaluation of Acceleration
II. Momentum
III. Rotation
IV. Light - Faraday and the Polarization of Light—Maxwell and the Electromagnetic Theory of Light—
Using Radar to Measure Distance—The Units of Distance—The Velocity of Light
V. Propagation of Sound Waves
The Doppler Shift—The Sonic Boom
VI.
The Uniqueness of Light , A Hypothetical Ether—The Absurdity of the Ether Concept—Measuring Velocity—The Michelson-Morley Experiment
VII. On Common Sense - The Experience of Everyday Life —Time: A Private Matter—The
"Route-Dependence' of Time
VIII. The Nature of Time - The Peculiarities of High Speeds—
The Relationships of Inertial and Moving Observers...
The Value of k: A Fundamental Ratio
IX.
Velocity -Einstein's Long Trains—
Determining
Relative Velocities by the Radar Method—
The Relationship between k and v—
Velocity Composition-
Proper Speed—The Unique Character of Light
X.
Coordinates and the Lorentz Transformation ...
XI. Faster Than Light?
Cause and Effect—
Simultaneity of Spatially Separated Events—
Past and Future: Absolute and Relative—
The Light Cone
XII. Acceleration - Acceleration and Clocks—
The Twin "Paradox"-How Far Can We Travel
in Space?
XIII.
Putting on Mass The Stretching of Time—Increasing Mass—Accelerating Protons—Einstein's Equation—Theory and Observation
(umm...well... we can let some terms in XIII slide )