ACT Math · COVERAGE & GAPSACT Math: Coverage Map & Learning Gaps
Selected enhanced ACT Math foundations
Real/complex number systems and numerical representations
Partial practice3 linked question families · 15 variants. Variants are not separate syllabus objectives.
What still needs work
- Rational exponents, number-line reasoning and nonroutine complex arithmetic not represented.
Vectors and matrices
Partial practice5 linked question families · 25 variants. Variants are not separate syllabus objectives.
What still needs work
- Full matrix products, inverse matrices, and vector geometry proofs remain outside this expansion.
Algebraic expressions and linear, polynomial, radical and exponential equations
Partial practice9 linked question families · 40 variants. Variants are not separate syllabus objectives.
What still needs work
- General polynomial division, rational equations with several restrictions and exponential equations with unlike bases remain incomplete.
Systems and applications
Partial practice4 linked question families · 16 variants. Variants are not separate syllabus objectives.
What still needs work
- No matrix systems or nonlinear simultaneous equations.
Function notation, representation, translation and graph features
Partial practice14 linked question families · 60 variants. Variants are not separate syllabus objectives.
What still needs work
- Graph-to-equation synthesis, logarithmic transformations and rich piecewise comparisons remain incomplete.
Shapes, missing lengths and coordinate representations
Partial practice8 linked question families · 32 variants. Variants are not separate syllabus objectives.
What still needs work
- Conic translation from geometric constraints and geometric proofs remain incomplete.
Shapes and solids: composition, similarity and measurement
Partial practice10 linked question families · 40 variants. Variants are not separate syllabus objectives.
What still needs work
- Surface areas of composite solids, congruence proof and oblique solid models remain incomplete.
Triangles, circles and trigonometric relationships
Partial practice9 linked question families · 36 variants. Variants are not separate syllabus objectives.
What still needs work
- General trigonometric equations, sine rule ambiguity and circle tangent relationships remain incomplete.
Center and spread of distributions
Partial practice8 linked question families · 32 variants. Variants are not separate syllabus objectives.
What still needs work
- Comparing skewed distributions graphically and computing standard deviation from full data remain incomplete.
Data collection and bivariate relationships
Partial practice8 linked question families · 32 variants. Variants are not separate syllabus objectives.
What still needs work
- Sampling-bias identification and causal-claim critique remain mainly explanatory; categorical study-design selection tasks are not yet assessed.
Probabilities and sample spaces
Partial practice10 linked question families · 40 variants. Variants are not separate syllabus objectives.
What still needs work
- Longer probability trees, dependent multistage events and combinatorial conditional probability remain incomplete.
Integrate rates, proportions, averages and measurement
Partial practice6 linked question families · 24 variants. Variants are not separate syllabus objectives.
What still needs work
- Few nonroutine extended chains; percent change and multi-representation synthesis missing.
Create, interpret and evaluate models
Partial practice8 linked question families · 32 variants. Variants are not separate syllabus objectives.
What still needs work
- Open model construction, critique of nonlinear assumptions and optimization remain incomplete.
