PreIB HL AA Bridging Programme
6-week structured course + warm-up library
Warm-up library
HL AA practice, flashcards & diagnostics
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What the HL AA bridging course covers
Analysis and Approaches HL Paper 1 is sat without a calculator, so exact algebra has to be secure before DP1 starts. The six weeks go further than the SL course, into calculus and probability:
- Week 1, foundational algebra: algebraic fractions, the laws of indices, standard form, and surds with rationalising the denominator.
- Week 2, quadratics, equations and inequalities: quadratic expressions and equations, simultaneous equations, inequalities and an introduction to functions.
- Week 3, geometry and trigonometry: straight lines, right-angled trigonometry with exact values, non-right-angled trigonometry and 3D geometry.
- Week 4, sequences, series, probability and statistics: sequences and series, the binomial theorem, basic probability and descriptive statistics.
- Week 5, calculus foundations: limits and differentiation from first principles, the rules of differentiation, tangents and normals, and basic integration.
- Week 6, functions and statistics: exponentials and logarithms, transformations of graphs, discrete random variables, and bivariate data and correlation.
Each sub-topic has worked examples and practice questions with full solutions, and every week ends with a four-question check; week 1 adds two optional questions marked by AI from a photo of your working.
The 15-question diagnostic reaches beyond GCSE: find log2 32, solve 32x−1 = 27, find the values of k for which x² + kx + 9 = 0 has exactly one real root, differentiate x²e3x and solve z² + 2z + 5 = 0. If you cannot start a question, do the week that covers it first.