1. Define the mathematical concept or scene to be animated.
2. Choose the appropriate Manim scene type (e.g., `Scene`, `ThreeDScene`, `MovingCameraScene`).
3. Create the necessary mobjects (e.g., `Circle`, `Square`, `MathTex`) and position them.
4. Define animations (e.g., `Create`, `Transform`, `FadeIn`) to bring the scene to life.
5. Control the timing and pacing of animations using `self.play()` and `self.wait()`.
6. Render the scene using the `manim` command-line tool.
7. Review and refine the animation based on the rendered output.