IB Math AI HL case studies
IB Math AI HL · Put your knowledge to work in context.
IB Mathematics: Applications and Interpretation Higher Level is the more practically oriented of the two IB mathematics courses at HL. It suits students who enjoy modelling real situations - interpreting data, fitting functions, reasoning about probability - and who want statistics and calculus applied to context rather than proof-driven abstraction. The IB Math AI HL case studies are 5 cases and about 3,446 words.
1Two Truck Loans: The Cheaper Rate That Isn't
A caterer wants to buy a second food truck priced at USD 48 000. Dealer A offers 6.0% per year compounded monthly, repaid over 60 equal monthly instalments with no other charges.
632 words, about 3 min2Daylight Model, Maintenance Window, and a Broken Promise
A solar-panel installer in a city at 52°N uses a sinusoidal model for hours of daylight, L(d) = 12 + 3.6 \! (2 (d-80){365} ) , where d is the day of the year and d = 1 is 1 January.
690 words, about 3 min3Splitting a Field: An Ambiguous Fence and a Disputed Area
A surveyor has measured a four-sided field ABCD. Walking the boundary, the sides are AB = 42 m, BC = 58 m, CD = 35 m and DA = 47 m, and the diagonal AC is 65 m.
701 words, about 4 min4AI Writing Assistant and Mock Results: What the Table Can and Cannot Show
A school with 200 students in the final year of an IB programme surveyed all of them about how often they used an AI writing assistant and compared this with their result in the November mock examinations. Students who used the assistant three or more times per week: 62 passed, 38 did not.
707 words, about 4 min5Antibiotic Dosing: One Dose Fits, Two Doses Do Not
A hospital pharmacy is reviewing the dosing schedule for a new oral antibiotic. A single 400 mg dose produces a plasma concentration modelled by C(t) = 12t\,e^{-0.35t} mg/L, where t is hours after the dose, and the model is stated to be valid for 0 t 8 .
716 words, about 4 min