Lumi Academy — Level 5 Curriculum Workbook

🐄

LUMI ACADEMY

Level 5

Advanced Achievers

Grades 5–6 · Ages 10–12

🐄 Bessie says:
"Challenge yourself every day — that's how champions are made. Moooo-ve forward!"

Learner Information

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

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

🌟 Lumi Academy — Level 5: Advanced AchieversTable of Contents

📋 Table of Contents

🐄

Grades 5–6 are a turning point — you'll tackle fractions, algebra foundations, essay writing, body systems, and US and world history. This is where scholars are made!

🔢 Section 1 — Mathematics

Unit 1: Fractions & Decimals	Pages 4–9
Unit 2: Ratios & Proportions	Pages 10–14
Unit 3: Intro to Algebra	Pages 15–20
Unit 4: Geometry — Area & Volume	Pages 21–25
Unit 5: Statistics & Probability	Pages 26–30
Math Review	Pages 31–33

📖 Section 2 — ELA

Unit 6: Literary Analysis	Pages 34–39
Unit 7: Research & Informational Writing	Pages 40–45
Unit 8: Argument Writing	Pages 46–50
Unit 9: Advanced Grammar	Pages 51–55
ELA Review	Pages 56–57

🔬 Section 3 — Science

Unit 10: Life Science — Body Systems	Pages 58–63
Unit 11: Earth & Space Science	Pages 64–68
Unit 12: Physical Science — Energy	Pages 69–73
Science Review	Pages 74–75

🌍 Section 4 — Social Studies

Unit 13: US History — Civil War to Modern Era	Pages 76–80
Unit 14: World Geography	Pages 81–84
Completion Certificate	Page 85

🌟 Lumi Academy — Level 5Unit 1 · Fractions & Decimals

½

Unit 1 — Fractions & Decimals

Operations with Fractions · Fraction-Decimal Conversion · Ordering

📚 Key Concepts

unlike denominatorsDifferent bottom numbers — find LCD before adding

LCDLeast Common Denominator — smallest common multiple

improper fractionNumerator larger than denominator: 7/4

mixed numberWhole + fraction: 1¾ = 7/4

terminating decimalEnds: ¼ = 0.25

repeating decimalGoes on forever: ⅓ = 0.333...

Adding/Subtracting Fractions with Unlike Denominators

Example: 2/3 + 3/4
Step 1: Find LCD of 3 and 4 → LCD = 12
Step 2: Convert: 2/3 = 8/12 and 3/4 = 9/12
Step 3: Add: 8/12 + 9/12 = 17/12 = 1 5/12

Part 1 — Add and Subtract Fractions (12 points)

2/3 + 1/4 =

LCD = ___

5/6 − 1/4 =

LCD = ___

3/4 + 2/5 =

LCD = ___

7/8 − 1/3 =

LCD = ___

1/2 + 3/7 =

LCD = ___

5/6 − 2/9 =

LCD = ___

Part 2 — Multiply and Divide Fractions (8 points)

3/4 × 2/5 =

2/3 × 3/8 =

1/2 ÷ 1/4 =

3/5 ÷ 3/10 =

Part 3 — Convert Fractions to Decimals (6 points)

3/4 =

7/8 =

2/5 =

0.625 = /8

0.4 = /5

1/3 = 0. (repeating)

🌟 Lumi Academy — Level 5Unit 2 · Ratios & Proportions

⚖️

Unit 2 — Ratios & Proportions

Writing Ratios · Equivalent Ratios · Unit Rate · Proportion Problems

📚 Key Concepts

ratioComparison of two quantities: 3:5, 3/5, or "3 to 5"

proportionTwo equal ratios: 3/5 = 6/10

unit rateA ratio with denominator 1: $2.50 per pound

percentA ratio out of 100: 45% = 45/100

cross-multiplySolving proportions: a/b = c/d → ad = bc

scaleRatio between map distance and real distance

Part 1 — Write and Simplify Ratios

In a class of 30 students, 18 are girls. Write the ratio of girls to boys in simplest form.

A recipe uses 2 cups flour and 3 cups sugar. Write the ratio of flour to total ingredients.

Part 2 — Solve the Proportions (cross-multiply)

3/5 = x/25
x =

4/7 = 12/x
x =

x/8 = 9/24
x =

6/x = 18/21
x =

5/9 = 20/x
x =

x/6 = 14/42
x =

Part 3 — Unit Rate Word Problems

If 3 pencils cost $1.50, how much do 7 pencils cost?

Unit rate: $_____ per pencil

A car travels 240 miles in 4 hours. How far does it travel in 7 hours at the same speed?

Unit rate: _____ miles per hour

Bessie makes 15 gallons of milk in 3 days. At this rate, how much in 8 days?

A map has a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. How far apart are they really?

🌟 Lumi Academy — Level 5Unit 3 · Intro to Algebra

x

Unit 3 — Introduction to Algebra

Variables · Expressions · Equations · Inequalities · Coordinate Plane

📚 Algebra Vocabulary

variableA letter representing an unknown number

expressionNumbers and variables without = sign: 3x + 5

equationShows equality with = sign: 3x + 5 = 17

solveFind the value of the variable

inequalityUses >, <, or ≠ instead of =

coordinate planeGrid with x-axis (horizontal) and y-axis (vertical)

Part 1 — Solve One-Step Equations

x + 12 = 25
x =

3x = 48
x =

75 − x = 39
x =

x/6 = 8
x =

x − 17 = 34
x =

4x = 100
x =

Part 2 — Solve Two-Step Equations

2x + 7 = 19
x =

Step 1: subtract 7. Step 2: divide by 2.

5x − 3 = 22
x =

3x + 9 = 30
x =

x/4 + 6 = 11
x =

8x − 16 = 48
x =

2x + 14 = 40
x =

Part 3 — Coordinate Plane

Plot these points and write the coordinates. Remember: (x, y) — go right/left first, then up/down.

Point A: (3, 5)

Quadrant: ___

Point B: (−2, 4)

Quadrant: ___

Point C: (−4, −3)

Quadrant: ___

Point D: (6, −1)

Quadrant: ___

🌟 Lumi Academy — Level 5Unit 4 · Geometry — Area & Volume

📐

Unit 4 — Geometry: Area & Volume

Triangles · Parallelograms · Volume of Prisms · Nets

📚 Key Formulas

Triangle

A = ½ × base × height
A = ½bh

Parallelogram

A = base × height
A = bh

Rectangular Prism

V = length × width × height
V = lwh

Part 1 — Find the Area

Triangle

base = 10 cm, height = 6 cm
A = ½ × 10 × 6 = cm²

Parallelogram

base = 8 in, height = 5 in
A = 8 × 5 = in²

Triangle

base = 14 m, height = 9 m
A = m²

Part 2 — Find the Volume

Rectangular Prism

L=5, W=4, H=3
V = 5 × 4 × 3 = units³

Cube

Side = 6 cm
V = 6 × 6 × 6 = cm³

Rectangular Prism

L=12, W=3, H=8
V = units³

Part 3 — Classifying Triangles

Type	By Sides	By Angles	Example angles
Equilateral	All 3 sides equal	All angles = 60°	60°, 60°, 60°
Isosceles	2 sides equal	2 angles equal	70°, 70°, 40°
Scalene	No sides equal	No angles equal	30°, 80°, 70°
Right	Any	One angle = 90°	90°, 45°, 45°

A triangle with angles 45°, 45°, 90° is:
Type 1:
Type 2:

A triangle with angles 60°, 60°, 60° is:
Type:

A triangle with angles 30°, 80°, 70° is:
Type:

🌟 Lumi Academy — Level 5Unit 5 · Statistics & Probability

📊

Unit 5 — Statistics & Probability

Mean · Median · Mode · Range · Probability

📚 Measures of Central Tendency

Mean

Add all values, divide by count. "Average."

Median

Middle value when ordered. With even count: average the two middle numbers.

Mode

Most frequent value. Can have more than one — or none.

Range

Difference between highest and lowest values.

Part 1 — Find Mean, Median, Mode, Range

Data Set: 4, 8, 6, 8, 10, 4, 8, 12, 6, 4

Step 1 — Order:

Mean:

Median:

Mode:

Range:

Test Scores: 72, 85, 91, 85, 78, 92, 85, 63, 90, 74

Mean:

Median:

Mode:

Range:

Part 2 — Probability

Probability = (favorable outcomes) / (total outcomes). Express as a fraction, decimal, and percent.

A bag has 4 red, 3 blue, 5 green, and 8 yellow marbles.

P(red) =

as decimal:

P(blue or green) =

as percent: %

P(not yellow) =

as decimal:

🌟 Lumi Academy — Level 5Unit 6 · Literary Analysis

📚

Unit 6 — Literary Analysis

Theme · Character Motivation · Author's Craft · Symbolism · Comparing Texts

📚 Advanced Literary Terms

themeThe central message that applies to real life — not just a topic

motifA recurring element that supports the theme

symbolismAn object that represents something beyond itself

characterizationHow an author reveals a character's personality

author's purposeInform, persuade, or entertain

toneAuthor's attitude toward the subject

moodHow the reader feels while reading

alliterationRepeated consonant sounds: "Peter Piper picked..."

ironyWhen reality is opposite of what's expected

📖 Read and Analyze:

The Lighthouse

Every night for forty years, Old Thomas climbed the 127 steps to light the lamp. His knees ached. The storms were vicious. Sailors he'd never meet and never would were kept safe by his faithfulness.

When the lighthouse was finally automated, the town threw him a party. "You must be relieved," people said. Thomas smiled and nodded. But that night, unable to sleep, he stood at his dark window and watched the automated light sweep the bay — perfectly, relentlessly, soullessly.

He realized then that purpose and burden are often the same thing wearing different faces.

Literary Analysis Questions

Q1 — What is the theme of this story? State it as a complete idea, not just a topic.

Q2 — What does the lighthouse symbolize in this story?

Q3 — Why is the word "soullessly" significant? What does it reveal about Thomas's feelings?

Q4 — Identify the tone of this passage. Support with evidence from the text.

Q5 — What is the irony in this story?

🌟 Lumi Academy — Level 5Unit 7 · Research Writing

🔍

Unit 7 — Research & Informational Writing

Research Question · Sources · Paraphrase · Essay Structure · Citations

📚 Research Writing Process

Step 1: Choose a topic and write a focused research question

Step 2: Find at least 3 credible sources (books, encyclopedias, .gov/.edu sites)

Step 3: Take notes — paraphrase, don't copy

Step 4: Create an outline with main ideas and supporting details

Step 5: Write the essay — intro, body paragraphs, conclusion

Step 6: Cite your sources in a Works Cited list

Part 1 — Choose a Topic and Plan

Choose a topic that interests you. Complete this research planner:

My research topic:

My focused research question (not yes/no):

Source 1 (title and type):

Source 2 (title and type):

Source 3 (title and type):

Main idea 1 from my research:

Main idea 2 from my research:

Main idea 3 from my research:

My thesis statement (one sentence that answers my research question):

🌟 Lumi Academy — Level 5Unit 9 · Advanced Grammar

📏

Unit 9 — Advanced Grammar

Sentence Types · Clauses · Semicolons · Parallel Structure

📚 Sentence Structures

Type	Structure	Example
Simple	One independent clause	The dog ran.
Compound	Two independent clauses joined by FANBOYS (for, and, nor, but, or, yet, so)	The dog ran, and the cat hid.
Complex	Independent clause + dependent clause (because, although, when, if, since)	Although it rained, the dog ran outside.
Compound-Complex	Two independent + one dependent clause	The dog ran outside, and the cat hid because it was scared.

Part 1 — Identify the Sentence Type

"She studied hard, so she passed the test."

"Because it was raining, we stayed inside."

"The wind howled."

"Although he was tired, he finished the race, and the crowd cheered."

Part 2 — Combine Sentences

She was hungry. She skipped lunch. (use "although")

He loved math. She loved science. (use "while")

Part 3 — Fix the Parallel Structure

"She likes to swim, running, and to hike." → Fix it:

"He is smart, works hard, and a good person." → Fix it:

🌟 Lumi Academy — Level 5Unit 10 · Body Systems

🫀

Unit 10 — Life Science: Body Systems

Skeletal · Muscular · Digestive · Circulatory · Respiratory

📚 Major Body Systems

System	Main Job	Key Organs
Skeletal	Support, protect, enable movement	206 bones, cartilage, joints
Muscular	Movement, posture, body heat	Over 600 muscles (cardiac, smooth, skeletal)
Digestive	Break down food; absorb nutrients	Mouth, esophagus, stomach, small/large intestine
Circulatory	Transport blood, oxygen, nutrients	Heart, arteries, veins, capillaries, blood
Respiratory	Exchange oxygen and carbon dioxide	Nose, trachea, lungs, diaphragm, alveoli
Nervous	Control center, coordinates body	Brain, spinal cord, nerves, neurons
Excretory	Remove waste from body	Kidneys, skin, lungs, liver

Part 1 — Match Organ to System

Heart → system

Lungs → system

Brain → system

Stomach → system

Femur (thigh bone) → system

Kidneys → system

Part 2 — Trace the Journey

Trace the path of a bite of food through the digestive system:

Trace the path of oxygen from the air into the bloodstream:

🌟 Lumi Academy — Level 5Unit 11 · Earth & Space Science

🌍

Unit 11 — Earth & Space Science

Earth's Layers · Plate Tectonics · Rock Cycle · Moon Phases

📚 Earth's Structure

Inner Core

Solid iron & nickel. ~5,200°C. Hottest layer.

Outer Core

Liquid iron & nickel. Creates Earth's magnetic field.

Mantle

Semi-solid rock. Convection drives plate movement.

Crust

Thinnest layer. Oceanic (5–10km) and continental (30–50km).

Part 1 — Label Earth's Layers (from surface to center)

Layer 1 (outermost):

Layer 2:

Layer 3:

Layer 4 (innermost):

Part 2 — Plate Tectonics

Boundary Type	What Happens	Result
Convergent	Plates move toward each other	Mountains, trenches, earthquakes
Divergent	Plates move apart	Mid-ocean ridges, rift valleys, volcanoes
Transform	Plates slide past each other	Earthquakes (ex: San Andreas Fault)

The Himalayas formed at a ___________ boundary where two continental plates collided.

The Mid-Atlantic Ridge formed at a ___________ boundary where plates pull apart.

Part 3 — Moon Phases (in order)

🌑

New Moon

🌒

Waxing Crescent

🌓

First Quarter

🌔

Waxing Gibbous

🌕

Full Moon

🌖

Waning Gibbous

🌗

Third Quarter

🌘

Waning Crescent

🌟 Lumi Academy — Level 5Unit 13 · US History

🇺🇸

Unit 13 — US History: Civil War to Modern Era

Civil War · Reconstruction · Industrial Revolution · Immigration

📚 Key Events Timeline

Period	Key Events	Important People
1861–1865	Civil War — Union vs. Confederacy over slavery and states' rights	Lincoln, Grant, Lee, Harriet Tubman, Frederick Douglass
1865–1877	Reconstruction — rebuilding the South; 13th, 14th, 15th Amendments	Lincoln, Freedmen's Bureau, Radical Republicans
1865–1900	Industrial Revolution — factories, railroads, urbanization	Carnegie, Rockefeller, Edison, Bell
1880–1920	Immigration wave — millions arrive at Ellis Island	Immigrants from Europe, Asia, and Latin America
1917–1918	World War I — US joins Allied Powers; Woodrow Wilson	Wilson, Pershing, WWI soldiers (doughboys)
1929–1939	Great Depression — stock market crash; FDR's New Deal	FDR, Hoover, Dust Bowl families

Part 1 — Civil War Analysis

Part 2 — Industrial Revolution Impact

Part 3 — Primary Source

🌟 Lumi Academy — Level 5Unit 14 · World Geography

🌐

Unit 14 — World Geography

7 Continents · 5 Oceans · Climate Zones · Major Features

📚 The 7 Continents & 5 Oceans

7 CONTINENTS

Continent	Largest Country
Africa	Algeria
Antarctica	(no countries)
Asia	Russia (spans Asia & Europe)
Australia/Oceania	Australia
Europe	Russia
North America	Canada
South America	Brazil

5 OCEANS (largest to smallest)

Ocean	Key Fact
Pacific	Largest — half of Earth's water
Atlantic	Separates Americas from Europe/Africa
Indian	Warmest ocean
Southern	Surrounds Antarctica
Arctic	Smallest and shallowest; mostly frozen

Part 1 — Name All 7 Continents from Memory

Part 2 — Climate Zones

Zone	Location	Climate Description	Example Region
Tropical	Near equator (0°–23.5°)	Hot and wet year-round	Amazon Rainforest
Subtropical	23.5°–40°	Hot summers, mild winters	Southern US, Mediterranean
Temperate	40°–60°	Four seasons, moderate	Central Europe, Northeast US
Subarctic	60°–70°	Very cold, short summers	Northern Canada, Siberia
Polar	70°–90°	Extremely cold, ice year-round	Antarctica, Arctic

Certificate of Completion

🐄⭐🏆

This certifies that

has successfully completed

Lumi Academy Level 5

Advanced Achievers — Grades 5–6 (Ages 10–12)

✅ Fractions & Decimals

✅ Ratios & Proportions

✅ Intro to Algebra

✅ Area & Volume

✅ Statistics & Probability

✅ Literary Analysis

✅ Research Writing

✅ Argument Writing

✅ Advanced Grammar

✅ Body Systems

✅ Earth & Space Science

✅ US History & World Geography

Parent Signature

Date Completed

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