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Understand factors, multiples, and prime numbers — plus prime factorization, the greatest common factor (GCF), and least common multiple (LCM) — for the SSAT, SAT, and ACT.
Master the arithmetic foundations — operations with fractions and decimals, converting between them, and the order of operations (PEMDAS) — for the SSAT, SAT, and ACT.
Graph sine and cosine functions — reading and finding amplitude, period, and midline from y = a sin(bx) + d — for the ACT and Pre-Calculus, with worked problems.
Find the complex roots of polynomials — using the discriminant and the quadratic formula — and understand why complex roots come in conjugate pairs, for the ACT.
Solve any triangle — not just right triangles — with the Law of Sines and the Law of Cosines, including how to choose between them, with worked ACT problems.
Understand limits — what a function approaches near a point — plus the calculus ideas of instantaneous rate and slope of a curve, at the level the ACT and early calculus expect.
Interpret the slope and y-intercept of a linear equation in a real-world setting — what the rate and starting value mean — a top Digital SAT skill, with worked problems.
Understand logarithms as the inverse of exponents, master the product, quotient, and power rules, and solve log and exponential equations — for the ACT, with worked problems.
Add, subtract, and multiply matrices, multiply by a scalar, and find the determinant of a 2x2 matrix — the matrix skills the ACT tests, with worked problems.
