Calculus

Here is a list of all of the skills that cover calculus! These skills are organised by grade, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the skills that cover calculus! To start practising, just click on any link.

Grade 12 skills

  1. T.1 Find limits using graphs
  2. T.2 Find one-sided limits using graphs
  3. T.3 Determine if a limit exists
  4. U.1 Find limits using addition, subtraction and multiplication laws
  5. U.2 Find limits using the division law
  6. U.3 Find limits using power and root laws
  7. U.4 Find limits using limit laws
  8. U.5 Find limits of polynomials and rational functions
  9. U.6 Find limits involving factorisation
  10. U.7 Find limits involving absolute value functions
  11. U.8 Find limits involving trigonometric functions
  12. V.1 Find limits at vertical asymptotes using graphs
  13. V.2 Determine end behaviour using graphs
  14. V.3 Determine end behaviour of polynomial and rational functions
  15. W.1 Find the limit at a vertical asymptote of a rational function I
  16. W.2 Find the limit at a vertical asymptote of a rational function II
  17. X.1 Identify graphs of continuous functions
  18. X.2 Determine continuity using graphs
  19. X.3 Determine one-sided continuity using graphs
  20. X.4 Find and analyse points of discontinuity using graphs
  21. X.5 Determine continuity on an interval using graphs
  22. X.6 Determine the continuity of a piecewise function at a point
  23. X.7 Make a piecewise function continuous
  24. X.8 Intermediate Value Theorem
  25. Y.1 Average rate of change I
  26. Y.2 Average rate of change II
  27. Y.3 Find instantaneous rates of change
  28. Y.4 Velocity as a rate of change
  29. Y.5 Find values of derivatives using limits
  30. Y.6 Find the gradient of a tangent line using limits
  31. Y.7 Find equations of tangent lines using limits
  32. Z.1 Sum and difference rules
  33. Z.2 Power rule I
  34. Z.3 Power rule II
  35. Z.4 Find derivatives of polynomials I
  36. Z.5 Find derivatives of polynomials II
  37. Z.6 Find second derivatives of polynomials
  38. Z.7 Find derivatives of rational functions