Lumastery Curriculum
Every lesson in the Lumastery curriculum, Kindergarten through 8th grade — 760+ lessons across math, learning to read, reading comprehension, language arts, science, and social studies. Math follows Common Core standards; science follows the NGSS framework; social studies follows a chronological K-8 spine. Generated directly from the live curriculum, so this document always matches what your child will actually see.
This is the full curriculum. To see where your child fits in it, start with the free math placement test — about 10 minutes, no account needed.
A sequential phonics-based program children enter when developmentally ready (typically Pre-K through 1st grade) and progress through at their own pace.
Sam's Picnic (8) · The Garden (8) · The Farm (8) · The Adventure (11)
Consonant Blends (15) · Digraphs & Spelling Patterns (14) · Silent-E & Long Vowels (16) · Common Vowel Teams (12) · R-Controlled Vowels & Other Patterns (12) · Multi-Syllable Words & Fluency (12)
Advanced Spelling Patterns (8) · Soft C, Soft G & Related Patterns (8) · Meaningful Affixes (8) · Longer Words & Meaning Chunks (8) · The Chapter-Book Bridge (10)
Counting & Numbers
Counting to 10 · Number Recognition 0-10 · Counting Objects to 10 · Comparing Numbers to 10 · Ordering Numbers to 10 · Counting to 20 · Number Recognition 0-20
First Operations
Addition Within 5 · Subtraction Within 5 · Addition Within 10 · Subtraction Within 10 · Number Bonds to 10 · Shapes Recognition · Patterns (AB, ABB, ABC) · Measurement Comparison · Shape Attributes · Sorting & Classifying
K–1 Language Arts
Naming Words and Action Words · Capital Letters and End Marks · Spelling CVC Words · Picture Word Power · Word Detective Basics · Names Get Capital Letters · Verbs Tell Time
Physical Science
Our Five Senses · Describing Objects · Solids, Liquids & Gases · Pushes & Pulls · Magnets & Materials
Life Science
Living & Non-Living Things · Plant Parts & Needs · Animal Features & Groups · Habitats & Homes · Life Cycles
Earth & Space Science
Today's Weather · The Four Seasons · Hot & Cold · Day & Night · Sun, Moon & Stars
Family & Home
My Family, Your Family · Rules at Home · My Feelings, Your Feelings
My Neighborhood
Our Home and Address · My Neighborhood Walk
Community Helpers
Community Helpers I: Firefighters, Doctors, Mail Carriers · Community Helpers II: Teachers, Farmers, Builders
Money & Choices
Stores, Money, and Trading · Needs and Wants
First Maps
My First Map · A Map of My Room · Land and Water
Time & Seasons
The Calendar and the Seasons
Long Ago & Today
Long Ago and Today
Celebrations & Traditions
Celebrations Around Us
Neighbors & Community
Being a Good Neighbor
My Country
Our Country's Symbols
Capstone
From My Home to My Planet
Bigger Numbers
Counting to 100 · Number Recognition 0-100 · Place Value: Tens and Ones · Comparing Numbers to 100 · Skip Counting by 2s, 5s, and 10s · Telling Time: Hours and Half-Hours · Addition & Subtraction Within 100
Addition & Subtraction Fluency
Addition Fact Fluency to 10 · Subtraction Fact Fluency to 10 · Unknown Numbers in Equations · Addition Within 20 · Subtraction Within 20 · Coin Identification and Values · Shapes & Equal Parts · Measurement: Comparing Lengths
Understanding Stories
Finding the Main Idea · Meeting the Characters · What Happened First, Next, Last? · Retelling a Story · What Will Happen Next?
Thinking About Stories
Words We Know and Words We Learn · Main Idea and Details · Why Did That Happen? · What Kind of Person Is This? · Where and When?
Physical Science
Our Five Senses · Describing Objects · Solids, Liquids & Gases · Pushes & Pulls · Magnets & Materials
Life Science
Living & Non-Living Things · Plant Parts & Needs · Animal Features & Groups · Habitats & Homes · Life Cycles
Earth & Space Science
Today's Weather · The Four Seasons · Hot & Cold · Day & Night · Sun, Moon & Stars
First humans
Before There Were Cities
First farmers
The Seed That Changed the World
Mesopotamia
The Land Between Two Rivers · The Secret of the Clay Tablets
Ancient Egypt
The River That Gave Gifts · Mountains Made by Hand · The Boy King's Hidden Tomb
Indus Valley
The City That Forgot Its Own Name
Ancient China
Where the Dragons Began · The Wall at the Edge of the World
Ancient Greece
A Thousand Tiny Kingdoms · Who Stole the Olive Crown? · When the People Became the King
Ancient Rome
The Day Rome Fired Its King · All Roads Lead to Rome
Fact Fluency & Two-Digit Operations
Addition Fact Fluency to 20 · Subtraction Fact Fluency to 20 · Addition Within 100 · Subtraction Within 100 · Measurement with Rulers · Even and Odd Numbers
Place Value & Bigger Numbers
Place Value: Hundreds, Tens, and Ones · Comparing Numbers to 1000 · Skip Counting by 3s and 4s · Word Problems: Add & Subtract Within 100 · Geometry: Shapes by Attributes · Partitioning Shapes
Multiplication & Fractions
Arrays & Repeated Addition · Introduction to Multiplication · Basic Fractions: Halves, Thirds, Fourths · Addition Within 1000
Time, Money & Data
Telling Time to 5 Minutes · Money: Counting Coins & Making Change · Data: Tally Charts & Bar Graphs · Subtraction Within 1000
Reading Like a Detective
Fact or Opinion? · Making Connections · Context Clues · Asking Questions While You Read
2nd Grade Language Arts
One or Many? Plural Nouns · Describing Words · Pronouns: Taking the Place of Nouns · Contractions and Possessives · Tricky Vowel Patterns · Vocabulary in Context
Physical Science
Properties of Materials · States of Matter · Heating & Cooling · Mixtures & Changes
Life Science
Habitats & Survival · Food Chains & Energy · Animal Adaptations · Plant Growth & Life Cycles
Earth & Space Science
Rocks & Soil · The Water Cycle · Erosion & Weathering · Conservation & Resources
Fall of Rome
The Empire That Fell Asleep
Byzantine Empire
The City That Stayed Roman
Rise of Islam
The Faith That Crossed Deserts
Islamic Golden Age
The House of Wisdom
Vikings
The Mystery of the Empty Monastery · The Vikings Were More Than Raiders
Feudalism
How to Read a Knight · Inside the Stone Fortress
Medieval Church
The Cathedral That Touched the Sky
Mali Empire
The Caravan of Gold
Medieval China
The River the Emperor Built
Medieval Japan
The Way of the Samurai
The Crusades
The Long Walk to Jerusalem
The Black Death
The Doctor in the Bird Mask
Mongol Empire
The Empire on Horseback
The Americas
The City on the Lake
The Printing Press
The Machine That Copied Books
End of the Medieval World
The Bridge to a New Age
Multiplication Mastery
Multiplication Facts: ×2, ×5, ×10 · Multiplication Facts: ×3, ×4 · Multiplication Facts: ×6, ×7, ×8, ×9 · Multiplication Fact Fluency · Multi-Step Word Problems · Arithmetic Patterns
Division
Division as Inverse of Multiplication · Division Facts: ÷2, ÷5, ÷10 · Division Facts: ÷3, ÷4, ÷6-÷9 · Division Fact Fluency
Fractions & Place Value
Fractions on a Number Line · Comparing Fractions · Equivalent Fractions · Place Value to Thousands
Geometry, Data & Rounding
Area and Perimeter · Rounding to Nearest 10 and 100 · Scaled Bar Graphs · Classify Quadrilaterals · Elapsed Time · Liquid Volume & Mass
Deeper Understanding
Main Idea in Nonfiction · Cause and Effect Chains · Reading Between the Lines · Why Did the Author Write This? · Same and Different
Reading Power Tools
Story Elements · Text Features Are Your Friends · Word Parts: Prefixes and Suffixes · Summarizing What You Read · Poetry: Rhythm and Rhyme
3rd Grade Language Arts
Subject-Verb Agreement · Comma Rules · Past, Present, and Future · Homophones: Sound Alike, Spell Different · Spelling with Prefixes and Suffixes · Growing Your Word Bank
Physical Science
Balanced & Unbalanced Forces · Friction & Surface Effects · Simple Machines · Magnets & Static Electricity
Life Science
Skeletal & Muscular Systems · Digestive & Respiratory Systems · Circulatory & Nervous Systems · Health, Nutrition & Growth
Earth & Space Science
Weather Instruments & Measurement · Cloud Types & Precipitation · Climate & Seasons · Severe Weather & Safety
Age of Exploration
The Map With a Missing Continent · The Sailor Who Was Wrong · Mutiny on the Spice Route
Columbian Exchange
The Great Swap
Atlantic Slave Trade
The Ship That Carried Stolen People
Conquest of the Americas
The Fall of Two Empires
The Renaissance
The Rebirth of Old Ideas
The Reformation
The Notes on the Door
Scientific Revolution
Looking Through the Telescope
Absolute Monarchs
The King Who Said "I Am the State"
The Enlightenment
The Age of Bright Ideas
England Transformed
The King Who Lost His Power
Colonial America
Roanoke: The Colony That Vanished · Thirteen Colonies by the Sea
Road to Revolution
The Tea in the Harbor
American Revolution
The General Who Refused to Be King
French Revolution
The Summer the People Rose
End of the Early Modern Era
The World the Revolutions Made
Multi-Digit Operations & Factors
Multi-Digit Multiplication · Long Division · Factors and Multiples · Multiplicative Comparison · Multistep Word Problems (4 Operations)
Fractions & Decimals
Adding & Subtracting Fractions (Same Denominator) · Comparing Fractions (Different Denominators) · Generating Equivalent Fractions · Mixed Numbers & Improper Fractions · Multiply a Fraction by a Whole Number
Geometry & Measurement
Introduction to Decimals · Angle Measurement · Line Symmetry · Classify Lines · Classify Triangles · Line Plots with Fractions
Place Value, Measurement & Patterns
Place Value to Millions · Rounding to 1,000 and 10,000 · Measurement Conversion · Area & Perimeter with Formulas · Generate & Analyze Patterns · Decimal-Fraction Connection
Figurative Language & Theme
Figurative Language · Theme: The Big Message · Point of View · Text Structure
4th Grade Language Arts
Prepositions & Prepositional Phrases · Conjunctions: Connecting Ideas · Quotation Marks & Dialogue · Complex Spelling Patterns · Advanced Context Clues
Physical Science
Forms of Energy · Energy Transfers & Transformations · Sound Waves · Light & Optics
Life Science
Cell Structure & Function · Plant vs Animal Cells · Photosynthesis & Respiration · Ecosystems & Food Webs
Earth & Space Science
Earth's Layers · Plate Tectonics Basics · Earthquakes & Volcanoes · Fossils & Earth's History
Industrial Revolution
The Machines That Never Slept
The Railroad Age
The Race to Lay the Rails
Immigration
The Children Who Crossed the Sea
The Age of Invention
The Lights That Never Went Out
The Age of Empires
The Empires That Ruled the Map
World War I
The War That Was Supposed to End Wars
The 1920s
The Decade That Danced
The Great Depression
The Day the Market Fell
World War II
The Whole World at War · The War at Home
The Cold War
The War With No Battles
Civil Rights
The Fight for Equal Rights
The Space Race
Footprints on the Moon
End of the Cold War
The Wall That Fell Overnight
The Digital Age
The Wires That Connected Everything
The Globalized World
One Small Planet · The Problems We All Share
The Story So Far
Standing on the Timeline
Operations & Place Value
Place Value: Billions to Thousandths · Multi-Digit × Multi-Digit Multiplication · Division with 2-Digit Divisors · Order of Operations (PEMDAS) · Powers of 10
Fractions
Fraction Add & Subtract (Different Denominators) · Mixed Number Add & Subtract · Multiplying Fractions · Fractions as Division · Dividing Fractions
Decimals
Compare & Order Decimals · Decimal Addition & Subtraction · Decimal Multiplication · Decimal Division
Geometry, Measurement & Conversions
Fraction-Decimal Conversion · Volume of Rectangular Prisms · Coordinate Plane · Classifying 2D Shapes · Measurement Conversions Across Systems · Line Plots with Fraction Data
Advanced Analysis
Analyzing Arguments · Tone and Mood · Connotation vs. Denotation · Complex Text Analysis
5th Grade Language Arts
Adverbs: How, When, Where · The 8 Parts of Speech · Relative Pronouns & Clauses · Advanced Spelling Words · Greek & Latin Roots
Life Science
DNA & Genes · Inherited vs Learned Traits · Natural Selection · Classification of Living Things
Physical Science
Atoms & Elements · Compounds & Mixtures · Chemical Reactions · Introduction to the Periodic Table
Earth & Space Science
The Solar System · Stars & Galaxies · Moon Phases & Tides · Space Exploration
Before 1492
The First Americans
First colonies
The Mystery of the Missing Colony · Jamestown: The Starving Time · Why Write Rules on a Boat?
Colonial life
Thirteen Colonies, Three Ways to Live
Road to revolution
The Bill That Changed Everything · No Taxation Without Representation
Revolution
The Midnight Ride: Fact vs. Legend · The Argument in the Declaration · The War Nobody Expected to Win
Building a nation
The Room of Compromises · Ten Promises: The Bill of Rights
A growing nation
Doubling the Country: Lewis & Clark · The Trail of Tears
The divide deepens
Cotton, Slavery, and the Divide · Wagons, Gold, and "Manifest Destiny"
Civil War
A House Dividing · The Civil War
Number Theory & Fractions
GCF & LCM · Prime Factorization · Dividing Fractions · Ratios and Proportions · Percents
Integers & Algebra
Negative Numbers · Absolute Value · Expressions with Variables · Write Equations from Word Problems · Dependent & Independent Variables · Solving One-Step Equations · One-Step Inequalities
Geometry & Measurement
Area of Triangles & Parallelograms · Area of Trapezoids · Surface Area and Volume · Four-Quadrant Coordinate Graphing · Nets of 3D Figures
Data, Statistics & Probability
Mean, Median, and Mode · Statistical Variability · Data Displays & Distributions · Probability
Author's Craft & Evidence
Author's Craft · Evidence-Based Reasoning · Literary Analysis · Rhetoric and Persuasion
6th Grade Language Arts
Active & Passive Voice · Verbals: Gerunds, Participles & Infinitives · Spelling Academic Vocabulary · Academic Vocabulary
Earth & Space Science
Minerals & Identification · Rock Types & Classification · The Rock Cycle · Soil Formation & Layers · Plate Boundaries · Evidence for Plate Tectonics · Earthquakes & Seismic Waves · Volcanoes · Geologic Time Scale · Fossils & Earth’s History · Topographic Maps & Reading the Land · Ocean Floor Features · Ocean Currents & Tides · Weather Forecasting with Data · Atmospheric Layers & Weather Systems · Natural Hazards & Engineering Solutions · Climate Zones & Climate Change · Earth’s Resources & Human Impact
Reconstruction · 1865–1877
The Promise That Wasn't Kept
The West · 1865–1890
The Last Open Range
Immigration · 1880–1920
The Island of Twelve Million Names
The Gilded Age · 1870–1900
The Men Who Owned the Country
Labor · 1900–1920
The Fire That Changed the Factory
The Progressive Era · 1890–1920
The People Who Told the Truth
Suffrage · 1848–1920
The Long Road to the Ballot
World War I · 1914–1919
Over There
The Twenties · 1920–1929
When the Country Got Loud
The Great Depression · 1929–1939
The Breadlines and the Dust Bowl
The New Deal · 1933–1939
A New Deal
World War II · 1941–1945
The Double V
Postwar America · 1945–1960
The Bomb and the Boom
The Cold War · 1947–1991
The Wall Across the World
Civil Rights · 1954–1965
The Seat on the Bus
Civil Rights · 1963–1968
The March and the Dream
The Sixties · 1960–1975
The Living-Room War and the Moon
The Information Age · 1975–today
The World in Your Pocket
Integers & Rational Numbers
Integer Operations · Rational Number Operations · Proportional Relationships · Percent Applications · Unit Rates with Complex Fractions
Equations & Expressions
Two-Step Equations · Inequalities · Combining Like Terms · Distributive Property · Multi-Step Equations & Inequalities
Geometry & Scale
Angle Relationships · Circumference & Area of Circles · Scale Drawings
Probability & 3-D Figures
Compound Probability · Surface Area & Volume (Prisms & Pyramids) · Cross Sections of 3-D Figures · Proportional Relationships in Depth · Statistical Sampling & Inference
Critical Reading
Synthesis Across Texts · Multiple Points of View · Advanced Figurative Language · Evaluating Arguments
7th Grade Language Arts
Parallel Structure · Semicolons & Advanced Punctuation · Tricky Words & Homophones
Life Science
Cell Organelles & Function · Cell Membrane & Transport · Cell Division (Mitosis) · Meiosis & Sexual Reproduction · Tissues, Organs & Organ Systems · Body System Interactions & Homeostasis · Immune System & Disease · Bacteria & Viruses · DNA Structure & Replication · Dominant & Recessive Traits · Punnett Squares & Probability · Mutations & Genetic Variation · Ecosystems & Biomes · Energy Flow & Nutrient Cycles · Ecological Succession · Natural Selection & Evolution · Human Impact & Biodiversity · Bioethics & Genetic Engineering Intro
Map Skills
The Lines That Map the World
Physical & Human Geography
Why Cities Grow Where Rivers Bend
Tectonics & Hazards
The Ring of Fire
Mountains
The Roof of the World
Climate & Monsoon
The Monsoon Economy
Deserts & Adaptation
The Desert That Is Growing
Rivers & Water
The Rivers That Feed Billions
Southeast Asia & Archipelagos
A Country Made of 17,000 Islands
Polar Regions
The Frozen Frontier
Rainforests & South America
The Green Heart of the World
Grasslands & Agriculture
The Grass Sea
The Mediterranean Crossroads
The Crossroads Sea
Cities & Urbanization
The Rise of the Megacity
Migration (Investigation)
Reading a Migration Route
Culture, Language & Religion
The Map of Many Tongues
Economic Geography & Resources
The Resource Curse and the Resource Gift
Environment & Change
When the Map Changes
Capstone
Your Place on the Planet
Exponents & Number System
Exponents & Scientific Notation · Exponent Rules · Scientific Notation Operations · Square & Cube Roots · Irrational Numbers
Linear Algebra & Functions
Linear Equations & Slope · Systems of Equations · Introduction to Functions · Linear vs. Nonlinear · Constructing Linear Functions · Interpreting Graphs Qualitatively
Geometry & Transformations
Pythagorean Theorem · Transformations · Congruence & Similarity · Parallel Lines & Angles · Distance Formula · Triangle Angle Sum & Exterior Angles
Data & Volume
Scatter Plots & Trend Lines · Two-Way Tables · Volume: Cylinders, Cones & Spheres · Relative Frequency & Data Analysis
Reading Mastery
Comparing Texts Across Genres · Integrating Information from Multiple Sources · Greek and Latin Roots · Analyzing Complex Arguments
8th Grade Language Arts
Sentence Combining & Style · Clauses & Phrases · Pronoun Case · Rhetorical Style · Etymology & Advanced Words
Physical Science
Speed, Velocity & Acceleration · Newton's Three Laws of Motion · Momentum & Collisions · Gravity & Orbital Motion · Work, Power & Machines · Energy Transformations & Conservation · Thermal Energy & Heat Transfer · Waves & the Electromagnetic Spectrum · Static Electricity & Charge · Electricity & Circuits · Magnetism & Electromagnetism · Nuclear Energy Basics · Atoms & Atomic Structure · Periodic Table Trends & Patterns · Chemical Bonding · Reaction Types & Balancing Equations · Engineering Design & Testing · Science of Everyday Technology
Foundations of Government
What Is Government For? · Experiments Before the Constitution
Making the Constitution
The Convention: Arguments and Compromises · Ratification: Federalists vs Anti-Federalists · The Constitution's Blueprint
The Three Branches
Congress: How a Bill Really Becomes Law · The Presidency: Powers and Their Edges · The Courts and Judicial Review
Dividing Power
Checks and Balances in Action · Federalism: Who Decides — Washington or the States?
Rights & Liberties
The First Amendment: Five Freedoms · The Rights of the Accused
Equal Protection
Equal Protection: The Slow Promise
The Franchise & Elections
The Vote's Long Expansion · Elections & Representation
Federalism Up Close
State & Local Government
Citizenship in Practice
Taxes and Public Goods: Who Pays for the Streetlight?
Capstone — The Citizen's Job
The Citizen's Toolkit
For students who complete the 8th grade sequence early. Full Algebra I and Geometry courses with the same teach-then-practice structure.
Linear Relationships
Solving Linear Equations · Forms of Linear Equations · Linear & Compound Inequalities · Systems of Linear Equations · Function Notation & Evaluation
Polynomials & Factoring
Adding & Subtracting Polynomials · Multiplying Polynomials · Factoring Out the GCF · Factoring Quadratic Trinomials · Factoring Special Products
Quadratic Functions & Equations
Solving Quadratics by Factoring · Solving Quadratics by Square Roots · Completing the Square · The Quadratic Formula · Graphing Parabolas
Exponential Functions
Rational Exponents · Exponential Functions · Exponential Growth & Decay
Radicals & Rational Expressions
Simplifying Radicals · Operations with Radicals · Simplifying Rational Expressions · Operations with Rational Expressions
Geometry Foundations
Points, Lines, and Planes · Segment Addition & Midpoints · Angle Pairs · Parallel Lines & Transversals
Triangles
Triangle Angle Sum & Exterior Angle · Classifying Triangles · Triangle Inequality · Congruent Triangles · Isosceles & Equilateral Theorems
Similarity
Similar Triangles & AA · SSS & SAS Similarity · Triangle Proportionality & Midsegments
Right Triangles & Trigonometry
Pythagorean Theorem · Special Right Triangles · Trig Ratios: SOHCAHTOA · Solving Right Triangles
Quadrilaterals & Polygons
Parallelograms: Properties · Rectangles, Rhombi, Squares · Trapezoids & Kites · Polygon Angle Sums
Circles
Circle Basics: Chords, Arcs, Central Angles · Inscribed Angles · Tangents & Secants
Area & Perimeter
Area: Triangles, Parallelograms, Trapezoids · Circle Area, Circumference, Arc Length, Sector Area · Regular Polygon Area (Apothem Formula) · Composite Area & Scaling
Solids: Volume & Surface Area
Prisms & Cylinders: Volume and Surface Area · Pyramids & Cones: Volume and Surface Area · Spheres: Volume and Surface Area
Coordinate Geometry & Transformations
Coordinate Geometry: Distance, Midpoint, Slope · Rigid Transformations: Translations, Reflections, Rotations · Dilations & Similarity: Scale Factor k · Equations of Circles & Lines on the Coordinate Plane
Congruence & Proof
Triangle Congruence: SSS, SAS, ASA, AAS, HL · Geometric Proofs: Two-Column Reasoning
Right Triangles & Trigonometry
Special Right Triangles: 45-45-90 and 30-60-90 · Law of Sines · Law of Cosines
Polynomial Functions
Polynomial Long Division & Synthetic Division · Remainder & Factor Theorems · Rational Root Theorem & Finding All Zeros
Beyond the lessons listed here, every child also receives adaptive daily practice across 200+ individually tracked skills with spaced-repetition review, placement testing, and mastery-based progression.
Science curriculum detail · Skills map · Free placement test