IB AA HL M25 Paper 3 Prep Part 1

Here are some themes and problem types I’d love to see show up — and they’re definitely worth reviewing: 🔹 First principles problems — especially with sine or exponential functions. 🔹 Binomial coefficients — including: • Hockey Stick Theorem • Pascal’s Triangle identities, like Pascal’s Identity • Classic counting questions, like coin toss problems or variations of the Monty Hall setup 🔹 Differential equations with Maclaurin series, particularly ones that involve: • Comparing coefficients • Solving recurrence relations 🔹 The Basel Problem (∑ 1/n² = π²/6) — maybe as a derivation using a Maclaurin series, or tied into Fourier analysis or complex numbers through divergent series 🔹 Reduction formulas might appear again — they were seen on Paper 1 in Asia time zone, so there’s a chance they could reappear in other zones. 🔹 A conceptual link between binomial and Poisson distributions might come up too — especially if you’re asked to derive Poisson from Binomial. 🔹Conic section with parametric equations, including circle, ellipse, hyperbola etc 🔹 Differential equations: Integrating factor with Bernoulli or Ricatti Differential Equations 🔹 Complex Number, working with polygons derived from Roots of Unity on Argand Diagram, use it for further computation, such as geometric series or integration 🔹 Long wordy contradiction problem with sqrt(2), cbrt(2), sqrt(2)+sqrt(6) etc 🔹 Geometry problem with radian measures, deriving compound angle formula, working with deductive geometry and circle theorem: Heron's formula, etc 🔹 miscellaneous transformation, multiple modulus on a function, even and odd linking with Maclaurin Series 🔹 Polynomials, Cubic Formula, Cardano's Formula with complex number or using completing the 'cube' 🔹 Faulhaber's Formula linking with Bernoulli Number 🔹 Recurrence Relations like Fibonacci sequence and golden ratio 🔹 Intensive Trig integrals with Hyperbolic Trigs or Beta functions #IBMathematics #IBMathAA #IBMathAI #IBPaper1 #IBPaper2 #IBPaper3 #IBExamPrep #MathInternalAssessment #IBExtendedEssay #IBMathTips #MaclaurinSeries #BernoulliNumbers #IBMathSL #IBMathHL #IBMathStudy #MathAnalysis #MathApplications #IBMathHelp #IBMathResources #ExamSuccess #국제학위수학 #IB수학AA #IB수학AI #IB수학1교시 #IB수학2교시 #IB수학3교시 #IB시험준비 #수학내부평가 #IB확장에세이 #IB수학팁 #맥클로린급수 #베르누이수 #IB수학공부 #수학분석과접근 #수학적용과해석 #IB수학자료 #시험성공