Algebra 1

Function notation, domain, range, types of functions, and function operations

Polynomial operations, factoring, synthetic division, and polynomial theorems

Slope, linear equations, systems of equations, and graphing lines

Types of numbers: integers, rationals, reals, primes, composites, and number classification systems

Exponential functions, logarithms, growth/decay, and their properties

Quadratic formula, factoring quadratics, discriminant, vertex form, and parabolas

Basic arithmetic operations, exponents, powers, roots, and order of operations

Combinations, permutations, probability rules, and counting principles

Fractions, decimals, mixed numbers, and operations with fractions

Mean, median, mode, standard deviation, variance, and measures of spread

Absolute value definition, equations, inequalities, and rules

Coordinate plane, distance formula, midpoint, analytic geometry, and coordinate systems

Inequalities, compound inequalities, absolute value inequalities, interval notation, and complex numbers

Descriptive statistics, data visualization, distributions, and sampling

Probability rules, conditional probability, Bayes theorem, and probability calculations

Radicals, radical equations, rational expressions, and rationalizing

Amplitude, period, phase shift, sinusoids, and graphing trig functions

Limits, one-sided limits, continuity, intermediate value theorem, and theorems

Linear regression, correlation, least squares, and data relationships

Factors, multiples, GCF, LCM, prime factorization, and divisibility

Direct, inverse, and joint variation; proportional relationships

Core algebra vocabulary, properties, and general mathematical concepts

Conics review, spheroids, extrema, inflection points, and advanced function analysis

Measurement, scientific notation, rounding, significant digits, and mathematical notation

Conditional statements, proof methods, logical connectives, and quantifiers

Translations, reflections, stretches, compressions, and symmetry of graphs

Sets, set operations, Venn diagrams, and set notation

Linear regression, correlation, hypothesis testing, and statistical inference

Algebraic properties, number classifications, and equivalence relations

Function analysis, advanced algebra connections, and precalculus methods

Histograms, box plots, scatter plots, and data visualization methods

Interest, annuities, present/future value, and financial formulas

Gaussian integers, modular arithmetic, transcendental numbers, and number-theoretic concepts

Partial derivatives, multivariable calculus, and advanced calculus topics