Starship Addition Slides Cosmic Fleet • Mission Day 1
🪐 Grade 4 Virtual Space Academy
Propulsion Fuel Mission
Adding Fractions with Like Denominators
🚀
Launch Hook • Power Grid Challenge:
Starship Orion loads \( \frac{3}{8} \) battery power at Station Alpha and \( \frac{4}{8} \) at Station Beta—how much total fuel power is primed for warp drive?
⚡ Fuel Cell Bank 🛸
Orion Thruster Gauge
⚡
Fuel Strips
Visual Addition Models
🛰️
Cargo Pods
Combining Unit Parts
🌟
Warp Equations
Like Denominators
🔥
Spiral Warm-Up: Cadet Systems Check
Type answers in chat!
Q1 🔋
Unit Fraction Cell
What fraction is ONE shaded cell?
?
0
0
0
0
0
1 Cell Active 6 Equal Cells
Your Answer: ________
Q2 🚀
Full Fuel Pod
How many tenths make 1 whole tank?
All 10 Powered 1 Full Pod = ? / 10
Your Answer: ________
Q3 🛰️
Unit Decomposition
Express \( \frac{3}{5} \) as sum of unit parts:
1/5
1/5
1/5
Count: 3 copies of \( \frac{1}{5} \)
Your Answer: ________
💡
Golden Cadets Rule: The denominator states the size of each fuel cell piece!
⚡
Concept 1 • Starship Propulsion
Visual Modeling: Combining Fuel Canisters
Fuel Bank in Eighths (\( \frac{1}{8} \))
Eighths Thruster Strip
Canister Alpha: \( \frac{3}{8} \) Tank
1/8
1/8
1/8
Canister Beta: \( \frac{4}{8} \) Tank
1/8
1/8
1/8
1/8
Total Fuel Combined: \( \frac{7}{8} \) Tank
Addition Equation:
\[ \frac{3}{8} + \frac{4}{8} = \frac{3 + 4}{8} = \frac{7}{8} \]
Cadet Warning: Never Add Denominators!
\( \frac{3}{8} + \frac{4}{8} \neq \frac{7}{16} \). Each fuel chunk is still an eighth of the whole tank!
Chat Waterfall: If Thruster A has \( \frac{2}{7} \) power and Thruster B has \( \frac{3}{7} \) power, what is total power?
🛸
Concept 2 • Flight Vector Jumps
Adding on a Cosmic Number Line
Vector: \( \frac{2}{6} + \frac{3}{6} \)
Orbit Track in Sixths (\( \frac{1}{6} \) increments) Forward Jumps Model Addition
0 1/6 2/6 3/6 4/6 5/6 (Sum) 1 (6/6) + 2 sixths + 3 sixths
Step 1 (First Leap): Launch from 0 and jump forward 2 sixths (\( \frac{2}{6} \)).
Step 2 (Second Leap): Jump forward 3 more sixths to land directly on \( \frac{5}{6} \).
Moving FORWARD on a number line adds fractional pieces together!
🪐
Concept 3 • Real Space Operations
Galactic Word Problems
Space Colony Life Support
Scenario A 💧 Water Reclaimer
The Lunar Base recycled \( \frac{4}{12} \) tank of water at dawn and \( \frac{5}{12} \) tank at dusk.
Addition Work:
\( \frac{4 + 5}{12} = \frac{9}{12} \)
Total Recycled: \( \frac{9}{12} \) Tank
Scenario B 🌾 Hydroponic Crops
Astronauts harvested \( \frac{3}{10} \) bin of space wheat and \( \frac{4}{10} \) bin of space greens.
Addition Work:
\( \frac{3 + 4}{10} = \frac{7}{10} \)
Total Harvested: \( \frac{7}{10} \) Bin
In any story problem, look for "and", "combine", or "total" to signal fraction addition!
👾
Cadet Arena • Live Chat Challenge
Squadron Guided Practice
Ready Your Keyboards!
Mission 1 🛰️ Solar Arrays
Solar panel 1 collected \( \frac{2}{9} \) energy and solar panel 2 collected \( \frac{5}{9} \) energy.
Set up the Equation:
\( \frac{2}{9} + \frac{5}{9} = \text{?} \)
Your Response: Type sum in chat 💬
Mission 2 🌟 Star Crystals
A probe gathered \( \frac{3}{11} \) crate of crystals on Moon 1 and \( \frac{6}{11} \) crate on Moon 2.
Set up the Equation:
\( \frac{3}{11} + \frac{6}{11} = \text{?} \)
Your Response: Type sum in chat 💬
📢 Poll: Why do we only add numerators when denominators are equal?
🎫
Day 1 Exit Ticket • Virtual Academy
Flight Clearance Check
Submit in Private Chat!
Check 1 🚀
Add Like Fractions
Find the sum: \( \frac{2}{7} + \frac{3}{7} \)
A) \( \frac{5}{14} \)
B) \( \frac{5}{7} \)
C) \( \frac{6}{7} \)
Check 2 ⚡
Model Reading
What addition equation is shown?
A) \( \frac{1}{5} + \frac{2}{5} = \frac{3}{5} \)
B) \( \frac{1}{5} + \frac{2}{5} = \frac{3}{10} \)
C) \( \frac{2}{5} + \frac{2}{5} = \frac{4}{5} \)
Check 3 🌌
Cargo Problem
Add \( \frac{4}{12} \) crate and \( \frac{7}{12} \) crate:
\( \frac{4}{12} + \frac{7}{12} = \text{?} \)
A) \( \frac{11}{24} \)
B) \( \frac{11}{12} \)
C) \( \frac{28}{12} \)
Format response: 1-[choice], 2-[choice], 3-[choice] Outstanding flight session today, Cadets! 🚀
Starship Addition Activity Sheet 🚀
Starship Addition Mission
Day 1 Cadet Flight Log • Adding Fractions with Like Denominators
Cadet Name:
Date: Squadron:
⚡
Part 1: Cadet Systems Check
1. Shade ONE unit cell for sixths:
Unit Fraction =
2. Complete the full tank:
How many 10ths make 1 full pod?
1 Full Pod = / 10
3. Decompose \( \frac{3}{5} \) as sum of unit parts:
\( \frac{3}{5} = \) + +
🔋
Part 2: Thruster Fuel Gauge Addition
Add numerators, keep denominator!
4. Model and add: \( \frac{3}{8} + \frac{4}{8} \)
Shade 3 eighths in Canister 1 and 4 eighths in Canister 2, then write the total equation.
Canister 1 (\( \frac{3}{8} \))
Canister 2 (\( \frac{4}{8} \))
Write Addition Equation: \( \frac{3}{8} + \frac{4}{8} = \)
5. \( \frac{2}{7} + \frac{3}{7} \)
Total Sum =
6. \( \frac{4}{12} + \frac{5}{12} \)
Add numerators together:
\( \frac{4 + 5}{12} = \)
🛰️
Part 3: Flight Vector Number Lines
Draw forward jump arcs
7. Model \( \frac{2}{6} + \frac{3}{6} \) on the flight track below:
Jump from 0 to \( \frac{2}{6} \), then jump forward 3 more sixths to find your landing mark.
0 1/6 2/6 3/6 4/6 5/6 1 (6/6)
Landing Coordinate: \( \frac{2}{6} + \frac{3}{6} = \)
Cosmic Fraction Fleet • Mission Day 1 Turn over for Story Problems & Exit Ticket ➔ Page 1 of 2
🪐
Galactic Cargo & Flight Clearance
Day 1 Field Journal • Part 4 & 5
Page 2
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Part 4: Mission Operations Story Problems
Set up the equation and solve
8. Starship Oxygen Reserve:
Oxygen Tank A has \( \frac{3}{10} \) capacity and Oxygen Tank B has \( \frac{4}{10} \) capacity. What fraction of total oxygen is available when connected?
Write Addition Equation:
Total Oxygen Available:
9. Hydroponic Harvest Pods:
The crew collected \( \frac{2}{9} \) crate of Martian berries in the morning and \( \frac{5}{9} \) crate in the afternoon. What fraction of a full crate was harvested in total?
Write Addition Equation:
Total Harvested:
🎫
Part 5: Flight Clearance Exit Ticket
Demonstrate mastery to clear launch!
10. Add the like fractions: \( \frac{2}{7} + \frac{3}{7} \) 1 pt
Show numerator addition:
11. Solve: \( \frac{4}{11} + \frac{5}{11} \) 1 pt
Sum =
12. Explain in words: 1 pt
Why does Cadet Leo say \( \frac{3}{8} + \frac{4}{8} = \frac{7}{8} \) and NOT \( \frac{7}{16} \)?
Cosmic Fraction Fleet • Mission Day 1 Complete Flight Wings Earned! 🚀✨ Page 2 of 2
Deep Space Subtraction Slides Cosmic Fleet • Mission Day 2
🌌 Asteroid Field Navigation
Fuel Burn & Shield Systems
Subtracting Fractions with Like Denominators
🪝
Mission Hook • Asteroid Collision Alert:
Starship shields start at \( \frac{7}{8} \) power. An asteroid impact expends \( \frac{3}{8} \) shield charge—how can cadets calculate remaining defense power?
🛡️ Deflector Grid ☄️
Shield Drain: \( - \frac{3}{8} \)
🛡️
Cross-Out Strips
Visual Removal Models
💫
Orbital Jumps
Backward Number Paths
⚡
Burn Equations
Like Denominators
🔥
Spiral Warm-Up: Day 1 Fleet Review
Type answers in chat!
Q1 ⚡
Add Fuel Parts
Solve: \( \frac{2}{6} + \frac{3}{6} \)
1/6
1/6
1/6
1/6
1/6
0
2 Blue 3 Gold 1 Empty
Your Answer: ________
Q2 🔋
Decompose
Which sum equals \( \frac{5}{8} \)?
\( \frac{2}{8} + \frac{3}{8} \text{ or } \frac{2}{4} + \frac{3}{4} \)?
Hint: Keep the same denominator!
Your Answer: ________
Q3 🛸
Whole Tank
How many fifths are in 1 whole pod?
1 Whole Tank = ? / 5
Your Answer: ________
💡
Today's Big Question: How does our addition rule directly help us subtract like fractions?
🛡️
Concept 1 • Removal Models
Visual Modeling: Subtracting Deflector Cells
Shield Grid in Eighths (\( \frac{1}{8} \))
Deflector Grid in Eighths (\( \frac{1}{8} \) each) ⚡
Start with \( \frac{7}{8} \) power. An asteroid drains \( \frac{3}{8} \) .
\( \frac{1}{8} \)
\( \frac{1}{8} \)
\( \frac{1}{8} \)
\( \frac{1}{8} \)
\( \frac{1}{8} \) ✕
\( \frac{1}{8} \) ✕
\( \frac{1}{8} \) ✕
0
Drained: 3 eighths Remaining: 4 eighths
Subtraction Equation:
\[ \frac{7}{8} - \frac{3}{8} = \frac{7 - 3}{8} = \frac{4}{8} \]
The Subtraction Rule
Subtract the numerators (\( 7 - 3 = 4 \)). Keep the denominator the same: 8 .
Chat Waterfall: What is \( \frac{9}{10} - \frac{4}{10} \)? Type just the fraction in chat!
💫
Concept 2 • Backward Vector Jumps
Orbital Jumps: Moving to the Left
Orbit: \( \frac{6}{6} - \frac{4}{6} \)
Representing: \( \frac{6}{6} - \frac{4}{6} = \frac{2}{6} \) Each mark is \( \frac{1}{6} \)
0 1/6 2/6 (Difference) 3/6 4/6 5/6 1 (6/6 Start) Jump back 4 sixths (-4/6)
Starting Position: Starship begins at full tank mark \( 1 \) (\( \frac{6}{6} \)).
Landing Position: After leaping back 4 units, lands directly at \( \frac{2}{6} \).
Moving to the LEFT on a number line models taking away or expending parts!
🛰️
Concept 3 • Space Operations
Subtraction Mission Operations
Orbital Maneuvers
Mission A ☄️ Thruster Burn
The probe held \( \frac{11}{12} \) canister of xenon gas. An orbital burn expended \( \frac{4}{12} \) canister.
Subtraction Work:
\( \frac{11 - 4}{12} = \frac{7}{12} \)
Remaining Gas: \( \frac{7}{12} \) Canister
Mission B 📦 Payload Jettison
Cargo bay was \( \frac{8}{10} \) full of space ore. The drone deployed \( \frac{5}{10} \) into the station lock.
Subtraction Work:
\( \frac{8 - 5}{10} = \frac{3}{10} \)
Remaining Ore: \( \frac{3}{10} \) Bay
In any story problem, words like "used", "drained", "expended", or "remaining" signal fraction subtraction!
👾
Cadet Arena • Live Chat Challenge
Defense Squadron Challenges
Chat Waterfall Ready!
Mission 1 🚀 Thruster Discharge
Starship hold has \( \frac{9}{12} \) battery energy. It powers a booster with \( \frac{5}{12} \) energy.
Set up the Equation:
\( \frac{9}{12} - \frac{5}{12} = \text{?} \)
Your Response: Type difference in chat 💬
Mission 2 💧 Water Pod Consumption
A full tank is \( \frac{10}{10} \). Cadets consume \( \frac{4}{10} \) on the training march.
Set up the Equation:
\( \frac{10}{10} - \frac{4}{10} = \text{?} \)
Your Response: Type difference in chat 💬
📢 Poll: Why does the denominator stay the exact same during subtraction?
🎫
Day 2 Exit Ticket • Virtual Academy
Deep Space Navigation Clearance
Submit in Private Chat!
Check 1 🛡️
Cross-Out Model
What subtraction sentence matches?
✕
✕
A) \( \frac{4}{5} - \frac{1}{5} \)
B) \( \frac{4}{5} - \frac{2}{5} = \frac{2}{5} \)
C) \( \frac{5}{5} - \frac{2}{5} \)
Check 2 ⚡
Subtract Like
Find the difference:
\( \frac{8}{9} - \frac{3}{9} = \text{?} \)
A) \( \frac{5}{0} \)
B) \( \frac{5}{9} \)
C) \( \frac{11}{9} \)
Check 3 💫
Story Check
Solve \( \frac{11}{12} - \frac{7}{12} \):
\( \frac{11 - 7}{12} = \text{?} \)
A) \( \frac{4}{12} \)
B) \( \frac{4}{0} \)
C) \( \frac{18}{12} \)
Format response: 1-[choice], 2-[choice], 3-[choice] Incredible 2-Day Space Mission Accomplished! 🏆🌌
Deep Space Subtraction Activity Sheet 🛡️
Deep Space Subtraction
Day 2 Cadet Flight Log • Subtracting Fractions with Like Denominators
Cadet Name:
Date: Squadron:
🔥
Part 1: Trail Warm-Up (Day 1 Review)
1. Add like fractions:
\( \frac{2}{6} + \frac{3}{6} = \)
2. Decompose \( \frac{5}{8} \):
\( \frac{5}{8} = \) +
3. Whole Pod Match:
1 Whole Pod = / 5
🛡️
Part 2: Deflector Shield Cross-Out Models
Cross out the drained cells
4. Model and solve: \( \frac{7}{8} - \frac{3}{8} \)
Seven eighths are charged. Put an ✕ over 3 cells to represent asteroid drain.
1/8
1/8
1/8
1/8
1/8
1/8
1/8
Write Subtraction Equation: \( \frac{7}{8} - \frac{3}{8} = \)
5. Shade \( \frac{5}{6} \), then cross out \( \frac{2}{6} \) to find remaining power:
Write the equation: \( \frac{5}{6} - \frac{2}{6} = \)
⚡
Part 3: Like Denominator Subtraction
Subtract numerators, keep denominator
6. \( \frac{8}{10} - \frac{3}{10} \)
Show numerator work:
\( \frac{8 - 3}{10} = \)
7. \( \frac{6}{7} - \frac{4}{7} \)
Show numerator work:
\( \frac{6 - 4}{7} = \)
8. \( \frac{11}{12} - \frac{7}{12} \)
Show numerator work:
\( \frac{11 - 7}{12} = \)
Cosmic Fraction Fleet • Mission Day 2 Turn over for Number Lines & Exit Ticket ➔ Page 1 of 2
💫
Orbital Tracks & Navigation Clearance
Day 2 Field Journal • Part 4, 5 & Exit Ticket
Page 2
🚀
Part 4: Backward Orbital Vector Jumps
Draw backward jump arcs
9. Model \( \frac{7}{8} - \frac{4}{8} \) on the orbital track below:
Start at \( \frac{7}{8} \). Draw jump arrows backwards by 4 eighths to find your landing mark.
0 1/8 2/8 3/8 4/8 5/8 6/8 7/8 1 (8/8)
Landing Coordinate Equation: \( \frac{7}{8} - \frac{4}{8} = \)
📦
Part 5: Flight Operations Story Problems
Set up the equation and solve
10. Oxygen Reserve Burn:
A tank was \( \frac{9}{10} \) full. During spacewalk, \( \frac{4}{10} \) was used. What fraction remains?
Equation:
11. Space Ore Jettison:
Cargo had \( \frac{11}{12} \) ton of ore. Crew unloaded \( \frac{6}{12} \) ton. How much is left?
Equation:
🎫
Part 6: Deep Space Navigation Clearance
Final Day 2 Mission Clearance
12. Solve: \( \frac{8}{9} - \frac{3}{9} \) 1 pt
Show your work:
13. Solve: \( \frac{10}{11} - \frac{6}{11} \) 1 pt
Difference =
14. Starship Pilot Explanation: 1 pt
Why does the denominator remain unchanged when subtracting fractions with like denominators?
Cosmic Fraction Fleet • Mission Day 2 Complete Master Space Commander Badge 🏆🌌 Page 2 of 2
