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AHL 5.15 (HL)—Slope fields Topic Practice

AHL 5.15 (HL)—Slope fields Topic Practice
IB Maths AI syllabusMaths AI SL/HLFirst assessment 2025

Students practise interpreting slope fields to sketch solution curves through given points and identify loci where dy/dx = 0, often linked to quadratic forms like y = ax².

How this is tested

  • sketch a solution through the given point, matching local slopes and shape
  • identify the curve y = ax² where dy/dx = 0 everywhere on it, then solve for a by substituting into
  • choose the correct slope field diagram by testing gradient signs
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