Quick Reference
Free Printable Cheat Sheets
Formula-forward reference sheets for math and science. Each sheet covers one topic with color-coded sections, worked examples, vocabulary, and common mistakes to avoid.
Circle Theorems
A printable reference covering angle relationships, chord and tangent segment rules, cyclic quadrilaterals, arc length, sector area, and circle equations for grades 8-9.
Laws of Exponents & Radicals
A printable reference covering exponent laws, zero and negative exponents, fractional exponents, radical simplification, and rationalizing denominators for grades 8-10.
Quadratic Equations
A printable reference covering standard form, factoring, completing the square, the quadratic formula, discriminants, roots, and parabolas for grades 9-10.
Area, Surface Area & Volume
A printable reference covering area, circumference, surface area, volume, composite figures, and unit conversions for grades 7-10.
Coordinate Geometry
A printable reference covering distance, midpoint, slope, line equations, parallel and perpendicular lines, and coordinate proofs for grades 9-10.
Transformations & Symmetry
A printable reference covering translations, reflections, rotations, dilations, symmetry, and coordinate rules for grades 8-10.
Triangle Theorems & Proofs
A printable reference covering triangle congruence, similarity, angle sums, midsegments, inequalities, and proof reasoning for grades 9-10.
Functions & Relations
A printable reference covering relations, functions, domain, range, function notation, graphs, mappings, and the vertical line test for grades 8-10.
Inequalities & Absolute Value
A printable reference covering inequality symbols, graphing, interval notation, compound inequalities, and absolute value equations and inequalities for grades 8-10.
Linear Equations & Slope
A printable reference covering slope, slope-intercept form, standard form, point-slope form, and linear graphs for grades 7-9.
Logarithms & Exponential Functions
A printable reference covering exponential rules, logarithm definitions, log laws, graph features, solving equations, and change of base for grades 10-11.
Polynomials & Factoring
A printable reference covering polynomial vocabulary, operations, special products, factoring patterns, grouping, and the zero product property for grades 9-10.
Probability & Combinatorics
A printable reference covering sample spaces, probability rules, permutations, combinations, factorials, and conditional probability for grades 9-11.
Rational Expressions
A printable reference covering simplifying, multiplying, dividing, adding, subtracting, complex fractions, and excluded values for grades 9-11.
Sequences & Series
A printable reference covering arithmetic sequences, geometric sequences, recursive rules, sigma notation, finite series, and infinite geometric series for grades 9-11.
Systems of Equations
A printable reference covering graphing, substitution, elimination, solution types, word problems, and matrices for grades 8-10.
Trigonometry Ratios & Unit Circle
A printable reference covering sine, cosine, tangent, SOH-CAH-TOA, unit circle coordinates, radians, and reciprocal identities for grades 9-11.
Applications of Calculus
A printable reference covering optimization, related rates, motion, area, volume, average value, and linear approximation for grades 11-12.
Derivatives & Differentiation Rules
A printable reference covering derivative definitions, power, product, quotient, chain, trigonometric, exponential, logarithmic, implicit differentiation, and tangent lines for grades 11-12.
Integration Techniques
A printable reference covering substitution, integration by parts, trigonometric integrals, partial fractions, and improper integrals for grades 11-12.
Limits & Continuity
A printable reference covering limit laws, one-sided limits, infinite limits, continuity, and the Intermediate Value Theorem for grades 11-12.
Descriptive Statistics
A printable reference covering mean, median, mode, range, variance, standard deviation, IQR, five-number summaries, box plots, and z-scores for grades 9-12.
Hypothesis Testing & Confidence Intervals
A printable reference covering null and alternative hypotheses, p-values, confidence intervals, critical values, z-tests, t-tests, and errors for grades 11-12.
Probability Distributions
A printable reference covering discrete and continuous distributions, expected value, variance, binomial, normal, and z-scores for grades 10-12.
Kinematics Equations
A printable reference covering displacement, velocity, acceleration, constant-acceleration equations, free fall, and motion graphs for grades 9-11.
Newton's Laws & Forces
A printable reference covering Newton's laws, net force, free-body diagrams, friction, weight, normal force, tension, and acceleration for grades 9-10.
Waves & Sound
A printable reference covering wave speed, frequency, wavelength, period, amplitude, sound intensity, decibels, resonance, and Doppler effect for grades 9-10.
Electricity & Circuits
A printable reference covering Ohm’s law, electric power, series and parallel circuits, Kirchhoff’s laws, and electrical energy for grades 10-12.
Magnetism & Electromagnetism
A printable reference covering magnetic fields, forces, flux, induction, solenoids, transformers, and right-hand rules for grades 10-12.
Modern Physics & Quantum Concepts
A printable reference covering photon energy, de Broglie wavelength, photoelectric effect, Bohr model, nuclear decay, and mass-energy equivalence for grades 11-12.
Momentum & Collisions
A printable reference covering momentum, impulse, conservation of momentum, elastic collisions, inelastic collisions, and recoil for grades 10-11.
Optics & Light
A printable reference covering reflection, refraction, Snell’s law, lenses, mirrors, magnification, and light wave behavior for grades 10-11.
Thermodynamics & Heat Transfer
A printable reference covering heat, temperature, specific heat, latent heat, ideal gases, thermodynamic laws, and heat transfer for grades 10-12.
Work, Energy & Power
A printable reference covering work, kinetic and potential energy, conservation of energy, power, efficiency, and simple machines for grades 9-11.
Acids, Bases & pH
A printable reference covering pH, pOH, Kw, acid-base definitions, neutralization, titration, and indicators for grades 10-11.
Atomic Structure & Periodic Trends
A printable reference covering atomic particles, isotope notation, electron configuration, valence electrons, ions, and periodic trends for grades 9-10.
Chemical Bonding & Molecular Geometry
A printable reference covering Lewis structures, formal charge, electronegativity, VSEPR shapes, bond angles, polarity, and intermolecular forces for grades 10-11.
Chemical Equilibrium
A printable reference covering equilibrium constants, reaction quotient, Le Chatelier's principle, $K_p$, and ICE tables for grades 11-12.
Stoichiometry & Molar Mass
A printable reference covering molar mass, mole conversions, Avogadro's number, percent composition, empirical formulas, and stoichiometric ratios for grades 10-11.
Thermochemistry & Hess's Law
A printable reference covering enthalpy, calorimetry, Hess's Law, standard enthalpy of formation, and bond enthalpy for grades 11-12.
Cell Structure & Function
A printable reference covering cell types, organelles, membranes, transport, surface area to volume ratio, and microscopy scale for grades 9-10.
DNA, RNA & Protein Synthesis
A printable reference covering DNA structure, RNA types, base pairing, transcription, translation, codons, and protein synthesis for grades 10-11.
Evolution & Natural Selection
A printable reference covering natural selection, allele frequencies, Hardy-Weinberg equations, speciation, evidence for evolution, and phylogenetic trees for grades 10-12.
Genetics & Mendelian Inheritance
A printable reference covering alleles, genotypes, Punnett squares, Mendel’s laws, monohybrid ratios, dihybrid ratios, and inheritance patterns for grades 10-11.
Photosynthesis & Cellular Respiration
A printable reference covering photosynthesis, cellular respiration, ATP, chloroplasts, mitochondria, and chemical equations for grades 10-11.
Algorithms & Big-O Notation
A printable reference covering algorithm steps, Big-O notation, time complexity, space complexity, loops, recursion, and common growth rates for grades 10-12.
Boolean Logic & Binary
A printable reference covering Boolean operators, truth tables, binary place value, base conversion, bitwise logic, and binary addition for grades 9-12.
Data Structures Overview
A printable reference covering arrays, linked lists, stacks, queues, trees, hash tables, graphs, and Big-O complexity for grades 10-12.
Programming Fundamentals
A printable reference covering variables, data types, conditionals, loops, functions, arrays, algorithms, and debugging for grades 9-12.
Atmosphere & Weather Patterns
A printable reference covering atmosphere layers, air pressure, humidity, fronts, wind, clouds, and weather patterns for grades 7-9.
Plate Tectonics & Earthquakes
A printable reference covering plate boundaries, seismic waves, earthquake magnitude, epicenters, and earthquake safety for grades 7-9.
Rock Cycle & Minerals
A printable reference covering the rock cycle, igneous, sedimentary, metamorphic rocks, mineral properties, Mohs hardness, and crystal structure for grades 6-9.
The Solar System
A printable reference covering planet order, orbits, gravity, rotation, revolution, moons, asteroids, comets, and scale for grades 6-9.
Essay Writing Structure
A printable reference covering thesis statements, introductions, body paragraphs, evidence, analysis, transitions, and conclusions for grades 8-12.
Grammar & Punctuation
A printable reference covering sentence parts, clauses, commas, apostrophes, quotation marks, semicolons, colons, and capitalization for grades 6-9.
Literary Devices
A printable reference covering simile, metaphor, personification, hyperbole, imagery, symbolism, irony, tone, and theme for grades 7-10.
Poetry Terms & Analysis
A printable reference covering poetic forms, figurative language, sound devices, imagery, tone, theme, and poetry analysis structures for grades 8-12.
Reading Comprehension Strategies
A printable reference covering previewing, annotating, main idea, inference, context clues, summary, and evidence for grades 6-10.
Research Writing & Citations
A printable reference covering thesis statements, source evaluation, MLA citations, in-text citations, quotation integration, paraphrasing, and works cited for grades 9-12.