Projectile Motion Meets Quadratic Roots
A ball thrown upward traces a parabolic path, linking a real physics scenario to the algebra of quadratic equations. The animation pauses to let viewers predict landing time, then reveals how x-intercepts on the graph correspond to solutions of the equation. Step-by-step algebraic transformations are animated with highlighted terms, arrows, and zooms, ending with a challenge problem. Useful for high school students learning to connect graphical and algebraic representations of quadratics.
Narrated · 16:9 · every frame verified for overlaps, spacing and edges before rendering
The prompt that made it
Create a 90-second high-school math video for TM Math Studio explaining quadratic equations. Do NOT make it a static lecture. Start with a surprising real-world problem involving a ball being thrown upward. Animate the trajectory as a parabola. Ask the student to predict when the ball reaches the ground. Give them 3 seconds to think. Then connect the x-intercepts to the solutions of the quadratic equation. Animate each algebraic transformation visually. Use moving graphs, highlighted terms, arrows, zooms and transformations. Keep the screen visually active. Finish with a short challenge problem. Use an energetic but clear teacher narration.
Make the next one in this series
- Show how the quadratic formula is derived by completing the square, step by step
- Animate how changing a, b, and c shifts and stretches the parabola's shape
- Compare factoring, completing the square, and the quadratic formula on the same problem
