| Unit 1: Multiplication Tables 1–10 | Pages 4–9 |
| Unit 2: Division | Pages 10–14 |
| Unit 3: Fractions | Pages 15–20 |
| Unit 4: Multi-Digit Operations | Pages 21–25 |
| Unit 5: Geometry & Measurement | Pages 26–30 |
| Unit 6: Reading Comprehension & Literary Analysis | Pages 34–39 |
| Unit 7: Vocabulary & Word Study | Pages 40–44 |
| Unit 8: Opinion & Informational Writing | Pages 45–50 |
| Unit 9: Grammar | Pages 51–55 |
| Unit 10: Ecosystems & Food Webs | Pages 59–63 |
| Unit 11: Earth Science | Pages 64–68 |
| Unit 13: US Geography & Regions | Pages 75–78 |
| Unit 14: American History | Pages 79–82 |
| Completion Certificate | Page 83 |
| × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 2 | 2 | 4 | 8 | 12 | 16 | 20 | ||||
| 3 | 3 | 9 | 15 | 21 | 27 | |||||
| 4 | 4 | 8 | 16 | 24 | 32 | 40 | ||||
| 5 | 5 | 15 | 25 | 35 | 45 | |||||
| 6 | 6 | 12 | 24 | 36 | 48 | 60 | ||||
| 7 | 7 | 21 | 35 | 49 | 63 | |||||
| 8 | 8 | 16 | 32 | 48 | 64 | 80 | ||||
| 9 | 9 | 27 | 45 | 63 | 81 | |||||
| 10 | 10 | 20 | 40 | 60 | 80 | 100 |
| Angle Type | Measurement | Real-World Example |
|---|---|---|
| Acute angle | Less than 90° | Corner of a pizza slice |
| Right angle | Exactly 90° | Corner of a book, L-shape |
| Obtuse angle | Greater than 90°, less than 180° | Open laptop screen |
| Straight angle | Exactly 180° | A flat line |
Literary analysis, vocabulary, essay writing and grammar — the tools of a true scholar. Taco loves a good story!
The Empty Jar
Mei Lin had saved up all her birthday money — forty-two dollars — in a glass jar on her windowsill. Every morning she counted it, dreaming of the new bicycle in Mr. Chen's shop window.
One afternoon her younger brother ran in crying. "I broke Mrs. Park's window playing baseball," he sobbed. "She said it costs thirty dollars to fix."
Mei Lin looked at her jar. She looked at her brother's red, wet face. She picked up the jar.
The next morning, the jar was empty. But when Mei Lin passed Mr. Chen's shop, she walked a little taller.
| Prefix | Meaning | Example |
|---|---|---|
| un- | not, opposite | unhappy, undo |
| re- | again | redo, rewrite |
| pre- | before | preview, preschool |
| mis- | wrongly | mistake, misread |
| dis- | not, away | disagree, dislike |
| over- | too much | overflow, overdue |
| Suffix | Meaning | Example |
|---|---|---|
| -ful | full of | helpful, careful |
| -less | without | hopeless, careless |
| -tion | act of | action, creation |
| -ment | state of | enjoyment, movement |
| -er/-or | one who | teacher, actor |
| -ly | in a way | quickly, kindly |
| Part of Speech | What It Does | Examples |
|---|---|---|
| Noun | Names a person, place, thing, or idea | dog, city, kindness, teacher |
| Verb | Shows action or state of being | run, think, is, were |
| Adjective | Describes a noun | tall, blue, excited, three |
| Adverb | Describes a verb or adjective | quickly, very, always, well |
| Pronoun | Replaces a noun | he, she, they, it, we |
| Conjunction | Joins words or clauses | and, but, or, because, so |
| Preposition | Shows relationship between words | in, on, under, between, with |
| Type | Purpose | Punctuation | Example |
|---|---|---|---|
| Declarative | States a fact | Period (.) | The sky is blue. |
| Interrogative | Asks a question | Question mark (?) | Is the sky blue? |
| Exclamatory | Shows strong feeling | Exclamation (!) | The sky is so blue! |
| Imperative | Gives a command | Period or (!) | Look at the sky. |
| Term | Definition | Examples |
|---|---|---|
| Producer | Makes its own food using sunlight | Grass, trees, algae, flowers |
| Primary Consumer | Eats producers (herbivore) | Rabbit, deer, caterpillar, cow |
| Secondary Consumer | Eats primary consumers | Fox, frog, small fish, snake |
| Tertiary Consumer | Eats secondary consumers | Eagle, shark, lion, owl |
| Decomposer | Breaks down dead matter; recycles nutrients | Mushrooms, bacteria, worms |
| Food web | Overlapping food chains in an ecosystem | Many paths of energy flow |
Sort: grass, eagle, mushroom, rabbit, oak tree, fox, earthworm, bacteria, corn, deer
| Region | States (examples) | Key Features |
|---|---|---|
| Northeast | New York, Massachusetts, Pennsylvania | Rocky coastline, dense cities, oldest US history |
| Southeast | Florida, Georgia, Texas, Virginia | Warm climate, Atlantic/Gulf coast, Appalachians |
| Midwest | Ohio, Illinois, Iowa, Kansas | Great Plains, farming, Great Lakes, tornadoes |
| Southwest | Arizona, New Mexico, Nevada | Desert, Grand Canyon, dry climate, canyons |
| West | California, Oregon, Washington, Colorado | Pacific coast, Rocky Mountains, rain forests |
| Period | Key Events | Important People |
|---|---|---|
| Before 1492 | Native Americans build diverse civilizations across North America | Many nations: Cherokee, Iroquois, Navajo, Sioux |
| 1492–1607 | European exploration begins; Columbus reaches Americas | Columbus, Cortés, de Soto |
| 1607–1770 | 13 colonies established along Atlantic coast | John Smith, William Penn, Ben Franklin |
| 1770–1783 | American Revolution — colonies fight for independence | Washington, Jefferson, Adams, Paul Revere |
| 1783–1800 | Constitution written; new nation formed | Madison, Hamilton, Washington (1st President) |
The colonists were angry at Britain for several reasons. List 3 causes:
English Language Arts works best when printable practice connects back to a real learning routine. Lumi pairs screen-based lessons with workbooks, coloring pages, report cards, attendance records, and certificates so families can keep both digital and paper evidence of learning.
Printables are especially useful for handwriting, quiet practice, portfolios, co-op days, review weeks, and end-of-year records. They also give kids a hands-on break after voice-guided or interactive lessons.
For homeschool documentation, the value is consistency: digital lesson history shows what was taught, while printable pages show practice artifacts families can save.
Kids start from their own profile and move through a guided session with a friendly on-screen teacher, short explanations, interactive questions, and instant encouragement. Younger learners can use tap choices and read-aloud prompts; older learners answer by tapping or typing, with quizzes and subject-specific checks.
Parents can review lesson history, scores, subject progress, standards touched, attendance, and printable summaries. That turns daily learning into usable homeschool documentation instead of a vague "we did school today" memory.
Lumi keeps lessons short, varied, and forgiving. If a child misses something, the app can explain again, offer a hint, log the result, and bring the concept back later. That makes the curriculum feel less like a worksheet stack and more like a steady learning loop.
For best results, treat Lumi as the daily spine of your homeschool routine. Most families do one focused session per child, then add reading aloud, outdoor time, projects, errands, co-op classes, or hands-on practice around it. The app covers the repeatable academic work while parents keep the flexibility that makes homeschooling valuable.
If you are comparing programs, look closely at whether the tool teaches the lesson, checks understanding, saves progress, and gives you printable records. A page can promise "complete curriculum," but the day-to-day mechanics are what determine whether parents can actually sustain it.
Yes. Lumi is designed as a full K-8 homeschool curriculum with math, reading and writing, science, social studies, quizzes, progress records, and printable parent documentation. Some families add field trips, library books, religious instruction, or co-op classes on top.
Each learner has a separate profile with age range, grade level, subject progress, guide character, daily goal, and lesson history. The app uses completed lessons, missed questions, retry queues, and performance patterns to keep practice moving at a workable pace.
Most families begin with the free trial, add each child profile, choose age range or grade level, then let Lumi run the daily lesson sequence while the parent dashboard tracks progress.