Calculus
Free lessons and practice worksheets for calculus.
Differentiation
Differentiation transforms how students understand rates of change, moving from average velocity calculations to instantaneous motion analysis. When teaching the power rule d/dx[x³] = 3x², students grasp that derivatives reveal the slope at any point on a curve.
3 min readIntegration
Integration transforms calculus students from basic derivative calculations into powerful problem-solvers who can find areas, volumes, and accumulation rates. Most students struggle with the power rule's "add 1 to exponent, divide by new exponent" pattern until they practice with structured problems ranging from simple x³ terms to definite integrals with bounds.
3 min readLimits
Teaching limits effectively requires students to master direct substitution before tackling indeterminate forms. The LK20.R1 and LK20.S1 curriculum standards emphasize building this foundation systematically, starting with simple polynomial limits like lim(x→2) (3x + 1) = 7.
3 min read