Concept Taxonomy

Categories

Core mathematical building blocks: relations, functions, domain, range, variables, coordinate plane, number systems, and basic notation.

Straight lines, slope/gradient, forms of linear equations, parallel and perpendicular lines, simultaneous equations, and linear models.

Technology use, sketching vs drawing, key graph features, window settings, intercepts, turning points, and graphical methods.

Parabolas, quadratic forms (standard, factored, vertex), discriminant, nature of roots, solving techniques, and quadratic applications.

Inverse functions, one-to-one functions, horizontal line test, composite functions, composition rules, and decomposing functions.

Reciprocal function, hyperbola, asymptotes (vertical, horizontal, oblique), rational forms, domain restrictions, and holes.

Exponential growth and decay, bases, Euler's number, natural exponential, exponential equations, and real-world exponential models.

Logarithms (common, natural), logarithm laws, change of base, solving log equations, log-exponential inverse relationship, and logarithmic scale.

Higher-degree polynomials, factor and remainder theorems, polynomial division, root properties, sum/product of roots, and end behavior.

Even/odd functions, symmetry testing, periodic functions, modulus function, absolute value, piecewise functions, and function behavior analysis.

Translations, reflections, stretches, scale factors, composite transformations, transformation notation, and effect on coordinates.

Expressions, equations, inequalities, algebraic manipulation, factoring techniques, expanding, and collecting like terms.

Function modeling, regression, curve fitting, interpolation, extrapolation, mathematical modeling cycle, units, and significant figures.