Algebra 1

Absolute value definition, equations, inequalities, and rules

Core algebra vocabulary, properties, and general mathematical concepts

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

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

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

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

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

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

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

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

Fractions, decimals, mixed numbers, and operations with fractions

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

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

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

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

Linear regression, correlation, hypothesis testing, and statistical inference

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

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

Conditional statements, proof methods, logical connectives, and quantifiers

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

Partial derivatives, multivariable calculus, and advanced calculus topics

Algebraic properties, number classifications, and equivalence relations

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

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

Polynomial operations, factoring, synthetic division, and polynomial theorems

Function analysis, advanced algebra connections, and precalculus methods

Combinations, permutations, probability rules, and counting principles

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

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

Radicals, radical equations, rational expressions, and rationalizing

Linear regression, correlation, least squares, and data relationships

Sets, set operations, Venn diagrams, and set notation

Descriptive statistics, data visualization, distributions, and sampling

Direct, inverse, and joint variation; proportional relationships