Sketch the derivative of a function by hand and watch it graded live, then flip the problem and build a valid antiderivative.
Was this fun?
How to play
Phase one shows f(x); you drag across the lower graph to sketch its derivative, with sign, zeros and concavity scored against the exact answer in real time. Phase two shows a derivative g(x); you pick which antiderivative family fits and set the +C offset so its slope matches g.
Drag to draw f'(x), matching where it is positive, negative and zero
Live feedback grades sign, zeros and concavity as you draw
Submit, then choose the correct antiderivative shape for the given derivative
Set the +C offset and check that your G' equals g(x)
Game modes
Daily: a fixed function shared each day
Practice: fresh randomized rounds
Controls
Desktop: drag on the lower graph to sketch; click the shape buttons and drag the +C slider
Phone & tablet: drag across the graph to draw the derivative and tap the antiderivative options
Tips & strategy
Where f peaks or bottoms out, its derivative crosses zero, anchor your sketch on those turning points
For the antiderivative, the +C only shifts the curve up or down; match the shape first, then slide C
What you'll learn
Slopecraft links a function to its derivative and back, building the core intuition of calculus.
Skills: derivatives, calculus, the function–slope relationship
Best for: roughly grades 11–12 (and college)
For parents & teachers: a function and its derivative.
About Slopecraft
Slopecraft is an original free browser calculus game that links a function to its derivative and back again, building visual intuition for slope, concavity and the constant of integration.
A free, original browser game on PlayPendium. No download, no install.
