Math & Physics — Interactive Scripts
Adjust sliders and see results update in real time.
Elementary school
Multiplication table
Pick a number and see its full multiplication table instantly.
5
❓ What do you notice about the table for 10? For 11?
Elementary school
Addition of two numbers
Change
a and b and see their sum and difference.
8
3
a + b
11
a − b
5
❓ What happens when both numbers are negative?
High school
Linear equation y = k·x + n
Change the slope
k and intercept n to see how the line shifts.
2
3
❓ What does the line look like when k = 0? When k is negative?
High school
Quadratic equation ax² + bx + c = 0
Adjust
a, b, c and find the roots.
1
-3
2
❓ Why do some equations have no real solutions?
Physics — free fall
Free fall: h(t) = h₀ − ½·g·t²
Change the initial height and watch the object fall second by second.
100 m
❓ How long does it take to fall from 50 m? From 200 m?
Physics — unit conversion
Speed conversion: km/h → m/s
Drag the slider and see both units update live.
100
km/h
100
m/s
27.8
❓ Why do we divide by 3.6? (Hint: 1 km = 1000 m, 1 h = 3600 s)
Advanced — trigonometry
Sine and cosine
Change the number of periods displayed.
1
❓ Where do sin(x) and cos(x) intersect? Can you find all intersections in 2 periods?
Advanced — calculus
Numerical derivative of f(x) = xⁿ
Pick a point
x and power n to compare numerical vs exact derivative.
3
2
Numerical f′(x)
6.001
Exact f′(x)
6.000
❓ What happens when n = 1? What does the derivative represent geometrically?
