🌮

LUMI ACADEMY

Level 4

Building Scholars

Grades 3–4 · Ages 8–10

🌮 Taco says:
"Math facts, big ideas, amazing stories — we're going to tackle them all! ¡Vámonos!"

Learner Information

Student Name:
Grade:
School Year:
Parent / Teacher:

lumi-learning.web.app · YourSpace LLC · Aligned to CCSS · TEKS · NGSS

🌟 Lumi Academy — Level 4: Building ScholarsTable of Contents

📋 Table of Contents

🌮

Grades 3–4 are where learning really takes off! You'll master multiplication, fractions, essay writing, ecosystems, and US history. Big stuff — and you're ready for it!

🔢 Section 1 — Mathematics

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
Math Review	Pages 31–33

📖 Section 2 — ELA

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
ELA Review	Pages 56–58

🔬 Section 3 — Science

Unit 10: Ecosystems & Food Webs	Pages 59–63
Unit 11: Earth Science	Pages 64–68
Unit 12: Forces & Motion	Pages 69–72
Science Review	Pages 73–74

🌍 Section 4 — Social Studies

Unit 13: US Geography & Regions	Pages 75–78
Unit 14: American History	Pages 79–82
Completion Certificate	Page 83

🌟 Lumi Academy — Level 4Unit 1 · Multiplication

✖️

Unit 1 — Multiplication Tables 1–10

Facts · Strategies · Properties · Word Problems

📚 Key Vocabulary

multiplyRepeated addition of equal groups

factorNumbers being multiplied together

productThe answer to a multiplication problem

commutativeOrder doesn't matter: 4×3 = 3×4

arrayObjects arranged in rows and columns

distributive4×7 = 4×5 + 4×2 = 20+8 = 28

Multiplication Table — Complete It!

×	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

🌮

Memorize 5s first — they end in 0 or 5, easy! Then 10s (add a zero). Then doubles (2s, 4s). The hard ones (6×7, 7×8, 8×9) — write them on a flashcard and practice daily!

🌟 Lumi Academy — Level 4Unit 1 · Practice A

✏️

Unit 1 Practice A — Multiplication Facts Sprint

Name: ________________________ Date: ______________ Score: ___/40 Time: ___:___

Solve All 40 Facts as Fast as You Can! ⏱️

6 × 7 =

8 × 9 =

7 × 4 =

9 × 3 =

5 × 8 =

6 × 6 =

7 × 7 =

8 × 8 =

9 × 9 =

4 × 8 =

3 × 7 =

6 × 9 =

5 × 6 =

7 × 8 =

4 × 9 =

3 × 8 =

5 × 7 =

6 × 8 =

9 × 4 =

10 × 7 =

2 × 9 =

4 × 4 =

3 × 6 =

8 × 7 =

5 × 9 =

6 × 4 =

7 × 3 =

9 × 8 =

10 × 9 =

3 × 3 =

7 × 6 =

8 × 4 =

9 × 5 =

6 × 3 =

4 × 7 =

8 × 6 =

9 × 6 =

7 × 5 =

4 × 6 =

3 × 9 =

🌟 Lumi Academy — Level 4Unit 2 · Division

➗

Unit 2 — Division

Equal Sharing · Relationship to Multiplication · Long Division Intro

📚 Division Vocabulary

dividendThe number being divided

divisorThe number you divide by

quotientThe answer to a division problem

remainderWhat's left over after dividing equally

inverseDivision is the inverse of multiplication

equal groupsDividing into groups of the same size

Division & Multiplication Are Fact Families!

Fact Family: 6, 7, 42
6 × 7 = 42
7 × 6 = 42
42 ÷ 6 = 7
42 ÷ 7 = 6

Fact Family: 8, 9, 72
8 × 9 = 72
9 × 8 = 72
72 ÷ 8 = 9
72 ÷ 9 = 8

Part 1 — Division Facts (15 points)

36 ÷ 6 =

56 ÷ 7 =

45 ÷ 9 =

72 ÷ 8 =

63 ÷ 7 =

48 ÷ 6 =

54 ÷ 9 =

32 ÷ 4 =

81 ÷ 9 =

42 ÷ 6 =

70 ÷ 7 =

64 ÷ 8 =

Part 2 — Division with Remainders

25 ÷ 4 = R

17 ÷ 3 = R

38 ÷ 5 = R

29 ÷ 6 = R

Part 3 — Word Problems

Taco has 56 taco shells to put equally into 8 boxes. How many go in each box?

48 students split into equal teams of 6. How many teams are there?

🌟 Lumi Academy — Level 4Unit 3 · Fractions

🍕

Unit 3 — Fractions

Numerator · Denominator · Equivalent Fractions · Comparing · Number Line

📚 Fraction Vocabulary

fractionA part of a whole — like ½ of a pizza

numeratorTop number — parts we have

denominatorBottom number — total equal parts

equivalentEqual in value: ½ = 2/4 = 4/8

benchmark½ is the key benchmark fraction

mixed numberWhole number + fraction: 1¾

Part 1 — Shade the Fraction

½

⅔

¾

⅕

Part 2 — Find Equivalent Fractions

½ = /4 = /8 = /10

⅓ = /6 = /9 = /12

¾ = /8 = /12

Part 3 — Compare Using >, <, or =

½ ¾

⅔ ⅓

⅖ ⅗

4/8 ½

¼ ⅓

⅔ 4/6

🌟 Lumi Academy — Level 4Unit 4 · Multi-Digit Operations

🔢

Unit 4 — Multi-Digit Operations

4-Digit Addition & Subtraction · 2×1 Multiplication · Estimation

Part 1 — Addition (8 points)

 3,456
+2,871

 7,284
+1,539

 5,607
+3,948

 4,819
+4,395

Part 2 — Subtraction (8 points)

 8,203
−4,567

 6,000
−2,347

 9,152
−3,876

 5,400
−1,683

Part 3 — Multiplication (2-digit × 1-digit) (8 points)

 34
× 7

 56
× 8

 73
× 6

 48
× 9

Part 4 — Multi-Step Word Problems

A school ordered 2,450 pencils. They used 1,387 in the first semester. How many pencils are left?

Show your work:

There are 24 classrooms with 32 students each. If 148 students are absent, how many are present?

Show your work:

🌟 Lumi Academy — Level 4Unit 5 · Geometry & Measurement

📐

Unit 5 — Geometry & Measurement

Perimeter · Area · Angles · Unit Conversion

📚 Key Formulas

Perimeter
Rectangle: P = 2(l + w)
Square: P = 4s
Any shape: add all sides

Area
Rectangle: A = l × w
Square: A = s²
Units are always squared (cm²)

Part 1 — Find Perimeter and Area

Rectangle: L=8cm, W=5cm

Perimeter = cm
Area = cm²

Square: Side=7m

Perimeter = m
Area = m²

Rectangle: L=12in, W=4in

Perimeter = in
Area = in²

Square with Perimeter=36cm

Side length = cm
Area = cm²

Part 2 — Angles

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

45° — This is:

120° — This is:

90° — This is:

180° — This is:

📖

Section 2

English Language Arts

Literary analysis, vocabulary, essay writing and grammar — the tools of a true scholar. Taco loves a good story!

🌮

"A person who reads lives a thousand lives. A person who never reads lives only one. — George R.R. Martin. ¡Léamos!" — Taco

🌟 Lumi Academy — Level 4Unit 6 · Reading Comprehension

📚

Unit 6 — Reading Comprehension & Literary Analysis

Theme · Point of View · Figurative Language · Text Structure

📚 Literary Terms

themeThe central message or lesson of a story

simileComparison using "like" or "as": fast as lightning

metaphorDirect comparison: He is a rock

point of view1st person (I/me), 3rd person (he/she)

foreshadowingHints about what will happen later

inferenceA conclusion drawn from evidence

📖 Read This Passage:

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.

Comprehension Questions

Q1 — What was Mei Lin saving money for?

Q2 — What is the theme (lesson) of this story?

Q3 — Why do you think Mei Lin "walked a little taller" at the end?

Q4 — Is this 1st or 3rd person point of view? How do you know?

Q5 — Identify a figurative expression in the story or write your own simile about Mei Lin.

🌟 Lumi Academy — Level 4Unit 7 · Vocabulary & Word Study

📝

Unit 7 — Vocabulary & Word Study

Prefixes · Suffixes · Context Clues · Homophones

📚 Common Prefixes & Suffixes

PREFIXES (beginning)

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

SUFFIXES (ending)

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 1 — Add a Prefix to Change the Meaning

___ happy → not happy

___ write → write again

___ school → before school

___ understand → wrong understanding

Part 2 — Homophones (Same Sound, Different Meaning)

there / their / they're
Use each correctly in a sentence:

to / too / two
Use each correctly in a sentence:

your / you're
Use each correctly in a sentence:

🌟 Lumi Academy — Level 4Unit 8 · Opinion Writing

✍️

Unit 8 — Opinion & Informational Writing

Claim · Evidence · Transitions · Conclusion

📚 Opinion Essay Structure

1. Introduction — State your opinion clearly (your CLAIM)

2. Reason 1 — First reason with evidence or example

3. Reason 2 — Second reason with evidence or example

4. Reason 3 (optional) — Third supporting reason

5. Conclusion — Restate opinion and wrap up

Useful Transition Words

To add a reason: First, Second, Also, In addition, Furthermore, Another reason
To give evidence: For example, For instance, According to, This shows that
To conclude: In conclusion, Therefore, For these reasons, As you can see

Write an Opinion Essay — Use This Planner First

Topic: Choose one — "School should have a longer lunch break" OR "Every student should learn a musical instrument" OR your own topic

My opinion (claim):

Reason 1:

Evidence/example for Reason 1:

Reason 2:

Evidence/example for Reason 2:

Conclusion idea:

🌟 Lumi Academy — Level 4Unit 8 · Essay Draft

📄

Opinion Essay — Full Draft

Name: ________________________ Date: ______________

🌟 Lumi Academy — Level 4Unit 9 · Grammar

📏

Unit 9 — Grammar

Parts of Speech · Sentence Types · Punctuation

📚 Parts of Speech Quick Reference

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

Part 1 — Label Each Word's Part of Speech

"The happy dog ran quickly toward the park."

Write: N (noun), V (verb), Adj (adjective), Adv (adverb), or Prep (preposition) above each blank

Part 2 — Sentence Types

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.

Write one interrogative sentence:

Write one exclamatory sentence:

🌟 Lumi Academy — Level 4Unit 10 · Ecosystems & Food Webs

🌿

Unit 10 — Ecosystems & Food Webs

Producers · Consumers · Decomposers · Food Chains · Human Impact

📚 Ecosystem Vocabulary

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

Part 1 — Complete the Food Chains

Forest food chain:

oak tree 🌳→→→hawk 🦅

Ocean food chain:

algae 🌿→→tuna 🐟→

Part 2 — Producers, Consumers, Decomposers

Sort: grass, eagle, mushroom, rabbit, oak tree, fox, earthworm, bacteria, corn, deer

Producers 🌱

Consumers 🦊

Decomposers 🍄

🌟 Lumi Academy — Level 4Unit 11 · Earth Science

🌍

Unit 11 — Earth Science

Rocks & Minerals · Weathering & Erosion · Rock Cycle · Natural Resources

📚 The Rock Cycle

🪨

Igneous Rock

Forms from cooled magma or lava
Examples: granite, basalt, obsidian

⛰️

Sedimentary Rock

Forms from compressed layers of sediment
Examples: sandstone, limestone, shale

💎

Metamorphic Rock

Forms under heat and pressure
Examples: marble, slate, quartzite

Part 1 — Rock Types

Granite — What type of rock?

Limestone — What type of rock?

Marble — What type of rock?

Part 2 — Weathering & Erosion

weatheringBreaking rocks into smaller pieces (wind, water, ice, plants)

erosionMoving broken rock pieces from one place to another

depositionDropping of eroded material in a new place

Give one example of physical weathering in nature:

How do rivers cause erosion? Explain in one sentence:

Name 3 natural resources found in the Earth:

Are fossils found in igneous, sedimentary, or metamorphic rock? Why?

🌟 Lumi Academy — Level 4Unit 13 · US Geography

🗺️

Unit 13 — US Geography & Regions

5 Regions · Geographic Features · Map Skills · State Capitals

🗺️ The 5 Regions of the United States

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

Part 1 — Match the State to Its Region

Part 2 — State Capitals (Match)

Texas

California

New York

Florida

Ohio

Columbus

Austin

Sacramento

Albany

Tallahassee

🌟 Lumi Academy — Level 4Unit 14 · American History

🗽

Unit 14 — American History

Native Americans · Colonial America · American Revolution · Key Figures

📚 Timeline of Early American History

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)

Part 1 — Causes of the American Revolution

The colonists were angry at Britain for several reasons. List 3 causes:

Part 2 — Match the Person to Their Contribution

George Washington

Thomas Jefferson

Benjamin Franklin

Paul Revere

Warned colonists "The British are coming!"

Led the Continental Army

Helped write the Declaration of Independence

Inventor, diplomat, Founding Father

Part 3 — Primary Source Thinking

Certificate of Completion

🌮⭐🏆

This certifies that

has successfully completed

Lumi Academy Level 4

Building Scholars — Grades 3–4 (Ages 8–10)

✅ Multiplication Tables 1–10

✅ Division with Remainders

✅ Fractions & Equivalents

✅ Multi-Digit Operations

✅ Geometry & Measurement

✅ Literary Analysis

✅ Vocabulary & Word Study

✅ Opinion Essay Writing

✅ Grammar Mastery

✅ Ecosystems & Food Webs

✅ Earth Science & Rock Cycle

✅ US History & Geography

Parent Signature

Date Completed

🌟 Lumi Academy · lumi-learning.web.app · YourSpace LLC · CCSS · TEKS Aligned

×	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

×	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

×	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