ACT: Number & Quantity
– 1.1 Number properties — primes, factors, multiples, LCM/GCF
– 1.2 Fraction & decimal arithmetic; repeating decimals
– 1.3 Scientific notation
– 1.4 Radicals & simplifying roots
– 1.5 Exponent rules (integer & rational)
– 1.6 Complex numbers & powers of i
– 1.7 Matrices — scalar, products, determinants
– 1.8 Vectors
ACT: Algebra
– 2.1 Linear equations (incl. variables both sides)
– 2.2 Expressions — combine like terms, distribute
– 2.3 Expanding & factoring
– 2.4 Quadratics — roots, formula, discriminant, vertex form, completing the square
– 2.5 Systems of equations
– 2.6 Inequalities — compound, absolute-value
– 2.7 Absolute-value equations
– 2.8 Rational expressions
ACT: Functions
– 3.1 Notation & evaluation
– 3.2 Composite functions
– 3.3 Domain & range
– 3.4 Transformations (shift/stretch/reflect)
– 3.5 Inverse functions
– 3.6 Reading functions from tables & graphs
– 3.7 Rational functions & asymptotes
– 3.8 Sequences — arithmetic, geometric, recursive
– 3.9 Exponential & logarithmic functions/equations
– 3.10 Trigonometry — SOHCAHTOA, graphs (amplitude/period/phase), identities, law of sines & cosines, radians
ACT: Geometry
– 4.1 Angles — triangle sum, exterior angle, parallel lines, polygons
– 4.2 Triangles — isosceles/equilateral, special right, similar
– 4.3 Circles — arc length, sector area, central/inscribed angles, equation of a circle
– 4.4 Coordinate geometry — midpoint, distance, slope, parallel/perpendicular
– 4.5 Transformations (geometric)
– 4.6 Area & perimeter
– 4.7 Volume, surface area & displacement
– 4.8 Conics — ellipses, hyperbolas
ACT: Statistics & Probability
– 5.1 Mean/median/mode/range
– 5.2 Weighted average & expected value
– 5.3 Standard deviation (conceptual)
– 5.4 Standard score / z-score
– 5.5 Probability — compound, with/without replacement, and/or
– 5.6 Two-way tables & Venn diagrams
– 5.7 Counting, permutations & combinations
– 5.8 Data interpretation (charts & graphs)
– 5.9 Sampling / representativeness
ACT: Integrating Essential Skills
– 6.1 Percent — change & word problems
– 6.2 Rates & unit conversion
– 6.3 Proportional reasoning & scale
– 6.4 Multi-step real-world setups