🎯AA SL Skills

Factor, formula, complete the square — pick the fastest method for any quadratic.

Combine, split, and simplify expressions with logs using the three core laws.

Find the sum of an arithmetic progression using the formula booklet.

Find finite and infinite sums; identify common ratios from a sequence.

Compute f(g(x)) and g(f(x)) cleanly without dropping signs.

Find f⁻¹(x) using the swap-and-solve method, every time.

Rewrite quadratics in turning-point form a(x − h)² + k.

Find missing sides or angles in non-right triangles given AAS or ASA.

Find a side or angle when SAS or SSS is given — picks up where sine rule fails.

Convert between angle units in seconds — using π/180 and 180/π.

Compute s = rθ and A = ½r²θ for any circle slice (radians only).

Use your GDC’s 1-Var Stats to find x̄ and σ from any frequency table.

Calculate P(X = k), P(X ≤ k), P(X ≥ k) using the GDC’s binomial functions.

Find probabilities under a normal curve using normalcdf on the GDC.

Convert a normal value to z = (x − μ)/σ and back, plus inverse normal.

Drop the power, multiply by the old one — the most-used skill in IB calculus.

Differentiate composite functions like (3x + 1)⁵ or sin(2x).

Differentiate products like x²·sin(x) using uv’ + vu’.

Find y = mx + c at a given point on a curve using the gradient.

Locate where f'(x) = 0 and classify max / min / inflection.

Raise the power, divide by the new one — the reverse of differentiation.

Evaluate ∫ between two limits using F(b) − F(a). No “+ c” needed.

Compute regions enclosed by two curves using ∫(upper − lower) dx.