Resources/Study Guides & Tools
Free Academic ToolkitK-10 Standards Aligned

K-10 Study Guides & Subject Summaries

Comprehensive printable study guides, formula blueprints, step-by-step concept breakdowns, and interactive self-checks across Mathematics, Science, English Language Arts, and Social Studies.

Looking for live session utilities?

Use the Focus Timer, Icebreaker Reflection Prompts, and live Session Scratchpad.

Open Session Tools
Grade Level:
Showing 11 academic reference guides
Grade 3-5Mathematics

Multiplication & Division Fact Families

Visual fact triangles, inverse relationships, distributive property, and long division algorithms.

Core Rule / Formula:DMSB: Divide, Multiply, Subtract, Bring down • a × b = c ↔ c ÷ a = b
Number SenseMultiplicationDivisionAlgorithms
Grade 5-8Mathematics

Fractions, Decimals & Percentages

Benchmark conversion tables, common denominators, and reciprocal division (Keep-Change-Flip).

Core Rule / Formula:KCF: Keep, Change, Flip • 1/2 = 0.5 = 50% • 1/4 = 0.25 = 25% • 3/4 = 0.75 = 75%
FractionsDecimalsPercentagesEquivalence
Grade 7-9Mathematics

Algebra Basics: Solving for X

Systematic multi-step equation solving, balance principle, distributive property, and verification.

Core Rule / Formula:Golden Rule: Whatever operation you perform on one side, you must mirror on the other.
AlgebraLinear EquationsVariablesInverse Operations
Grade 6-10Mathematics

Geometry Essentials & Formula Sheet

Area, perimeter, surface area, cylinder/cone volume, and the Pythagorean Theorem.

Core Rule / Formula:Right Triangles: a² + b² = c² • Circle: A = πr², C = 2πr • Cylinder: V = πr²h
GeometryAreaPerimeterVolumePythagoras
Grade 3-8Reading & Writing

Reading Comprehension & Critical Analysis

Main idea vs topic, context clues (IDEAS), author's purpose (PIE), and inference formulation.

Core Rule / Formula:Inference Formula: Text Clues + Prior Schema = Valid Logical Deduction
ReadingComprehensionInferenceContext CluesAnalysis
Grade 5-10Reading & Writing

Essay Writing: The PEEL Blueprint

Introductory thesis statements, body paragraph PEEL scaffold, and synthesis conclusions.

Core Rule / Formula:P: Point • E: Evidence • E: Explanation (Analysis) • L: Link back to thesis
WritingEssaysPEELThesisArgumentation
Grade 4-6Science

Earth Science: Rocks, Water & Weather

The rock cycle triad, hydrologic cycle phases, atmospheric layers, and weather front mechanics.

Core Rule / Formula:Igneous (Melted) ↔ Sedimentary (Compacted) ↔ Metamorphic (Heated & Pressured)
Earth ScienceRock CycleWater CycleWeatherAtmosphere
Grade 6-8Science

Life Science: Cells & Living Systems

Cellular organelles, plant vs animal cells, photosynthesis equations, and trophic energy webs.

Core Rule / Formula:Plant Only: Cell Wall, Chloroplast, Large Vacuole • Both: Nucleus, Mitochondria, Membrane
BiologyCellsPhotosynthesisRespirationEcosystems
Grade 8-10Science

Chemistry: Atoms & The Periodic Table

Subatomic particle charges, atomic vs mass number, electron shell octets, and bonding types.

Core Rule / Formula:Atomic # = Protons • Mass # = Protons + Neutrons • Octet Rule = 8 Valence Electrons
ChemistryAtomsPeriodic TableChemical Bonding
Grade 8-10Science

Physics: Kinematics & Newton's Laws

Constant acceleration kinematics equations, Newton's 3 laws of motion, and work-energy theorem.

Core Rule / Formula:v = v₀ + at • Δx = v₀t + 1/2at² • v² = v₀² + 2aΔx • F_net = ma • W = Fd
PhysicsKinematicsNewton's LawsForcesEnergy
Grade 3-6Social Studies

Social Studies: Map Skills & Geography

Latitude vs longitude, prime meridian, map legends, compass rose, and hemisphere divisions.

Core Rule / Formula:Latitude = Flatitude (Equator 0°) • Longitude = Long vertical lines (Prime Meridian 0°)
GeographyMapsLatitudeLongitudeHemispheres