A 4-week intensive math intervention program set in a space exploration universe, designed for multi-grade students with disabilities in Grades 5–8. It covers additive thinking, place value, and decimal regrouping, anchored in Grades 4–6 standards with a Grade 5 core middle ground.
Challenge 7 (Star Charger Logic Matrix): Question mark ? = 3.6. Since Col 2 must sum vertically to 7.9 (2.3 + 5.6 = 7.9).
Cosmic Base Ten Intervention Program • Week 1 Field Guide Page 2 of 2
Slide 2B
01. 14.6 + 3.2 = _____
06. 5.8 + 3.4 = _____
02. 25.3 + 12.5 = _____
07. 6.9 + 2.5 = _____
03. 42.7 + 15.1 = _____
08. 245 + 50 = _____
04. 3.6 + 0.8 = _____
09. 3,570 + 1,260 = _____
05. 4.5 + 2.7 = _____
10. 4,850 + 2,690 = _____
Time Target: Under 5 minutes Answers should match the Daily Fast Fact tracker
Day 2 Group Mission
Slide 2C
Problem Description • Grade 5 Core Focus
The main energy valve generated 4.5 kilowatts. The auxiliary cell generated 2.7 kilowatts. What is the total combined charge loaded into our grid?
Projector Workspace: Draw & Regroup Decimals
Map the values to your workspace Trade 10 tenths lines for a brand new whole square!
Mission Accomplished: Battery Load Balanced
Slide 2D
Mathematical Bridge
4.5 + 2.7 = 7.2 kilowatts
1. Draw 4.5 as 4 Wholes (squares) and 5 Tenths (lines).
2. Draw 2.7 as 2 Wholes (squares) and 7 Tenths (lines).
3. Combine tenths: 5 + 7 = 12 Tenths.
4. Trade 10 tenths lines for 1 brand new Whole square, leaving 7 Wholes and 2 Tenths: 7.2!
Solar Core Status
Wholes (7)
[ ] [ ] [ ] [ ] [ ] [ ] [ ]
Tenths (2)
| |
Award: Nebula Navigator Badge Charge level nominal at 7.2 kilowatts!
Date: ________________________
Mission: Generator Cores (Grades 5-8 SWD) Grid Power
Problem 1: Generator Output Grade 4 Standard (No Regrouping)
Generator Row A produces 2,400 volts of current. Generator Row B produces 3,200 volts of current. How many total volts do both rows produce?
Solve & Model
Problem 2: Amps Tracking Grade 5 Core (Decimal Regroup Tenths)
The auxiliary core has generated 5.8 amperes of power. The backup booster generated 3.4 amperes of power. What is the total combined amperes running into our ship's turbine?
Solve & Model
Problem 3: Combined Wattage Grade 6 Standard (Three Decimal Addition)
Circuit 1 registers 42.7 kilowatts. Circuit 2 registers 15.4 kilowatts. Circuit 3 registers 9.9 kilowatts. What is the total combined kilowatt level of the generator?
Solve & Model
Cosmic Base Ten Intervention Program • Week 1 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Capacitors (Grades 5-8 SWD) Pod Logistics
Problem 1: Capacitor Stores Grade 4 Standard (No Regrouping)
Capacitor Alpha holds 5,100 fuel units. Capacitor Beta holds 3,200 fuel units. How many total fuel units are stored across both capacitors?
Solve & Model
Problem 2: Pipeline Load Grade 5 Core (Decimal Regroup Tenths)
The first power pipeline carries 6.9 tons of fuel cargo. The second pipeline carries 2.5 tons of fuel cargo. What is the total combined cargo load entered into our capacitor?
Solve & Model
Problem 3: Combined Pods Grade 6 Standard (Three Decimal Addition)
Pod 1 holds 52.4 kilograms of fuel weight. Pod 2 holds 34.8 kilograms. Pod 3 holds 5.5 kilograms. What is the total combined fuel weight delivered?
Solve & Model
Cosmic Base Ten Intervention Program • Week 1 Daily Journal Thursday • Page 4
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 5
Name: ______________________
Date: ________________________
Mission: Life Support Charger (Grades 5-8 SWD) Biosphere Air
Problem 1: Airway Tubes Grade 4 Standard (No Regrouping)
Habitat loop A cycles 6,200 tubes of clean air. Loop B cycles 3,000 tubes of clean air. How many tubes of air are cycled in total?
Solve & Model
Problem 2: Oxygen Loops Grade 5 Core (Decimal Regroup Tenths)
The main environmental reserve loop measures 7.8 liters of oxygen. The backup reserve valve measures 3.6 liters of oxygen. How many total liters of clean air are ready to cycle?
Solve & Model
Problem 3: Nitrogen Loops Grade 6 Standard (Three Decimal Addition)
Station Loop 1 measures 65.5 liters of nitrogen. Station Loop 2 measures 28.8 liters. Station Loop 3 measures 9.7 liters. What is the total liters of nitrogen cycled?
Solve & Model
Cosmic Base Ten Intervention Program • Week 1 Daily Journal Friday • Page 5
Coord 1: 2.3
Coord 2: _____
Coord 3: _____
Sum Calculation: __________________________________________________
Cosmic Base Ten Intervention Program • Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Base Ten Block Decryption
A scrambled data card is represented below. Use your decimal place-value skills to translate these blocks into decimals and solve the ultimate sum:
• Card Alpha holds: 12 Tenths and 18 Hundredths.
• Card Beta holds: 6 Tenths and 25 Hundredths.
Alpha True Decimal Value Value: ____________
Beta True Decimal Value Value: ____________
Compute the final decimal sum of Card Alpha + Card Beta:
Architecture Board
Challenge 7: Missing Coordinates Logic
In this addition grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
1.5
3.5
2.8
?
What is the value of the question mark (?) if the columns add up vertically to 4.3 and 5.9?
Commander Sign-off Evaluate your performance on this Companion Log.
🌌 Gold Cadet 🚀 Solar Pro
Cosmic Base Ten Intervention Program • Extension Pack Module 1 • Page 3
20 Min
Collaborative & Guided Practice: Students work together or 1-on-1 with the teacher to map out their core workbook story problems inside their Daily Tracker Journal.
10 Min
Student-Facing Reveal & Review: Project the Answer Reveal slide (D) and guide students to self-correct and verify their visual block and algorithm alignments.
5 Min
Positive Reinforcement & Sign-off: Award daily Cosmic Badges or sticker tokens to reinforce collaborative habits and math resilience.
Universal SWD Lesson Adaptations
Apply these adaptations systematically across all lessons to ensure maximum visual and cognitive accessibility.
Visual Supports Draw dotted grid lines directly in student workspaces to prevent vertical standard algorithm misalignment.
Motor Accommodations Allow students to point or verbally direct the teacher to place blocks on the projected whiteboard board.
Badge System Guide
The Cosmic Badge Reward System is designed to recognize and reward specific positive behavioral and academic habits of SWD in self-contained and inclusion settings.
1. Starship Navigator Awarded for precise decimal alignment and systematic standard algorithm bookkeeping.
2. Cosmic Mechanic Awarded for active, accurate use of physical manipulatives during guided group modeling.
3. Nebula Scout Awarded for explaining mathematical logic, helping crew members, and showing mathematical resilience.
Cosmic Base Ten Intervention Program • Scope & Sequence Page 2 of 2
Challenge 7 (Solar Charging Grid Matrix): Question mark ? = 0.24. Since Col 2 must sum to 0.59 (0.35 + 0.24 = 0.59).
Cosmic Base Ten Intervention Program • Week 2 Field Guide Page 2 of 2
01. 0.25 + 0.33 = _____
06. 0.65 - 0.23 = _____
02. 0.45 + 0.12 = _____
07. 0.84 - 0.39 = _____
03. 0.58 + 0.21 = _____
08. 1,250 - 400 = _____
04. 0.35 + 0.08 = _____
09. 3,450 - 1,180 = _____
05. 0.46 + 0.27 = _____
10. 5,230 - 2,890 = _____
Time Target: Under 5 minutes Verify your alignment on decimal addition!
Day 2 Group Mission
Slide 2C
Problem Description • Grade 5 Core Focus
The main energy grid receives 0.35 amperes of charge. The backup energy grid receives 0.18 amperes. What is the total current received across our panels today?
Projector Workspace: Draw & Regroup Amperes values on 100-Grid
Unpack 10 hundredths units to make a tenth rod Complete the equation vertically!
Mission Accomplished: Charging Nominal
Slide 2D
Mathematical Bridge
0.35 + 0.18 = 0.53 amperes
1. Draw 0.35 as 3 Tenths and 5 Hundredths.
2. Draw 0.18 as 1 Tenth and 8 Hundredths.
3. Combine hundredths: 5 + 8 = 13 Hundredths.
4. Bundle 10 hundredths into 1 new tenth, leaving 5 Tenths and 3 Hundredths: 0.53!
Charging Monitor View
Tenths (5)
| | | | |
Hundredths (3)
* * *
Award: Cosmic Mechanic Badge Amperes rate stabilized at 0.53!
Cosmic Base Ten • Week 2 • Day 3
Mission: Volts Bleed
Slide 3A
Stop the Power Drain!
Our capacitor bank is leaking energy during orbit. We must calculate the remaining charge in volts using decimal subtraction.
Time Target: Under 5 minutes Log scores upon completion of the drill!
Day 4 Group Mission
Slide 4C
Problem Description • Grade 5 Core Focus
The main fuel tank has 0.64 liters of reserve propellant. The computer system vents exactly 0.18 liters of vapor. How many liters of propellant remain?
Projector Workspace: Model Decimal borrowing
Unbundle 1 tenth rod into 10 hundredths cubes Cross out the subtracted values!
Mission Accomplished: Fuel Level Secure
Slide 4D
Mathematical Bridge
0.64 - 0.18 = 0.46 liters
1. Represent 0.64 as 6 Tenths and 4 Hundredths.
2. We cannot subtract 8 Hundredths from 4 Hundredths!
3. Borrow 1 Tenth, unbundling it into 10 Hundredths.
4. Now we have 5 Tenths and 14 Hundredths. Subtract 1 Tenth and 8 Hundredths: 0.46!
Time Target: Under 5 minutes Final daily flight check: finish strong!
Day 5 Group Mission
Slide 5C
Problem Description • Grade 5 Core Focus
Our biosphere sub-station has generated 0.75 wholes of backup cell charge. We drain exactly 0.38 wholes of cell charge. How many backup cell charges remain?
Projector Workspace: Model Cell subtraction on 100-Grid
Do we need to borrow/unbundle a tenth rod? Verify your answer on your workspace!
Mission Accomplished: Biosphere Charge nominal
Slide 5D
Mathematical Bridge
0.75 - 0.38 = 0.37 cells
1. Draw 0.75 as 7 Tenths (rods) and 5 Hundredths (cubes).
2. We cannot subtract 8 Hundredths from 5 Hundredths!
3. Borrow 1 Tenth rod, unbundling it into 10 Hundredths cubes.
4. Now we have 6 Tenths and 15 Hundredths. Subtract 3 Tenths and 8 Hundredths: 0.37!
Problem 1: Capacitor Core Subtraction Grade 4 Standard (No Borrowing)
Capacitor Bank Galileo holds 5,600 volts. Our crew safely transfers 1,100 volts to auxiliary systems. How many volts remain inside Galileo?
Solve & Model
Problem 2: Volts Drainage Grade 5 Core (Decimal Subtraction Borrowing)
The main capacitor bank had 0.85 volts of charge. During the solar burst, it bled out 0.29 volts. How many volts of charge remain in our system?
Solve & Model
Problem 3: Multi-Capacitor Check Grade 6 Standard (Multi-Step Subtraction)
The power node starts with 0.95 volts. System A draws 0.38 volts and System B draws 0.14 volts. How many volts remain?
Solve & Model
Cosmic Base Ten Intervention Program • Week 2 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Fuel Purge (Grades 5-8 SWD) Pod Logistics
Problem 1: Propellant Reserves Grade 4 Standard (No Borrowing)
Tanks on Launcher-1 hold 3,800 liters of propulsive gas. Launcher-2 tanks hold 2,200 liters. How many more liters of gas are in Launcher-1 than Launcher-2?
The main fuel tank has 0.64 liters of reserve propellant. The computer system vents exactly 0.18 liters of vapor. How many liters of propellant remain?
Solve & Model
Problem 3: Multi-Tank Fleet Vents Grade 6 Standard (Multi-Step Subtraction)
The main refueling storage holds 0.85 liters. Pod alpha vents 0.26 liters, and Pod beta vents 0.19 liters. How many liters remain in storage?
Solve & Model
Cosmic Base Ten Intervention Program • Week 2 Daily Journal Thursday • Page 4
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 5
Name: ______________________
Date: ________________________
Mission: Cell Drain (Grades 5-8 SWD) Biosphere Air
Problem 1: Bio-Battery Levels Grade 4 Standard (No Borrowing)
Bio-battery Alpha has 4,500 cells. Bio-battery Beta has 1,100 cells. How many more cells of power does Alpha hold than Beta?
Our biosphere sub-station has generated 0.75 wholes of backup cell charge. We drain exactly 0.38 wholes of charge. How many cell charges remain?
Solve & Model
Problem 3: Multi-Node Drain Grade 6 Standard (Multi-Step Subtraction)
The central energy matrix measures 0.91 wholes. Laboratory node drains 0.45 wholes, and Hangar node drains 0.18 wholes. What is the remaining charge?
Solve & Model
Cosmic Base Ten Intervention Program • Week 2 Daily Journal Friday • Page 5
Coord 2: _____
Coord 3: _____
Sum Calculation: __________________________________________________
Cosmic Base Ten Intervention Program • Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Base Ten Block Decryption
A scrambled data card is represented below. Use your decimal place-value skills to translate these blocks into decimals and solve the ultimate sum:
• Card Alpha holds: 12 Hundredths and 18 Thousandths.
• Card Beta holds: 6 Hundredths and 25 Thousandths.
Alpha True Decimal Value Value: ____________
Beta True Decimal Value Value: ____________
Compute the final decimal sum of Card Alpha + Card Beta:
Architecture Board
Challenge 7: Missing Coordinates Logic
In this addition grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
0.15
0.35
0.28
?
What is the value of the question mark (?) if the columns add up vertically to 0.43 and 0.59?
Challenge 6 (Scrambled Place Cards): Alpha: 120 + 18 = 138; Beta: 60 + 25 = 85. Sum: 223 value
Challenge 7 (Star Charger Logic Matrix): Question mark ? = 24. Column 2 vertical sum must reach 59 (35 + 24 = 59).
Cosmic Base Ten Intervention Program • Week 2 Field Guide Page 2 of 2
The navigation officer mapped 31 blue stars and 16 yellow stars. How many stars did the navigation officer map in total?
Solve & Model
Problem 2: Gem Vaults Grade 5 Core (Whole-No. Regroup Ones)
Astronaut Jax collected 57 space gems. Astronaut Lyra collected 26 space gems. How many space gems did the explorers collect together?
Solve & Model
Problem 3: Station Catalogs Grade 6 Standard (Three-Digit Addition)
Space Station Centauri mapped 438 celestial points. Space Station Orion mapped 284 points. What is the total number of mapped celestial points?
Solve & Model
Cosmic Base Ten Intervention Program • Week 2 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Supply Pods (Grades 5-8 SWD) Pod Logistics
Problem 1: Water Stores Grade 4 Standard (No Regrouping)
The first cargo compartment holds 52 hydration boxes. The second cargo compartment holds 24 hydration boxes. How many boxes are in total?
Solve & Model
Problem 2: Pod Deliveries Grade 5 Core (Whole-No. Regroup Ones)
Pod Alpha landed with 64 food canisters. Pod Beta landed with 19 medicine canisters. How many total canisters did the pods deliver?
Solve & Model
Problem 3: Warehouse Stock Grade 6 Standard (Three-Digit Addition)
The base warehouse holds 518 heavy crates. The hangar holds 396 heavy crates. How many total heavy crates are stored across both locations?
Solve & Model
Cosmic Base Ten Intervention Program • Week 2 Daily Journal Thursday • Page 4
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 5
Name: ______________________
Date: ________________________
Mission: Oxygen Reserves (Grades 5-8 SWD) Biosphere Air
Problem 1: Habitat Tubes Grade 4 Standard (No Regrouping)
The main habitat dome contains 61 oxygen tubes. The bio-dome contains 28 oxygen tubes. How many oxygen tubes are there in total?
Solve & Model
Problem 2: Primary Reserves Grade 5 Core (Whole-No. Regroup Ones)
The primary life support valve releases 55 liters of oxygen. The backup reserve valve releases 27 liters of oxygen. What is the total volume of oxygen released?
Solve & Model
Problem 3: Nitrogen Tanks Grade 6 Standard (Three-Digit Addition)
The colony ship stores 675 cubic meters of nitrogen gas. The refueling station stores 287 cubic meters. What is the total volume of nitrogen gas stored?
Solve & Model
Cosmic Base Ten Intervention Program • Week 2 Daily Journal Friday • Page 5
Num 1: 23
Num 2: _____
Num 3: _____
Sum Calculation: __________________________________________________
Cosmic Base Ten Intervention Program • Week 2 Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Base Ten Block Decryption
A scrambled data card is represented below. Use your architectural skills to translate these blocks into numbers and solve the ultimate sum:
• Card Alpha holds: 12 Tens and 18 Ones.
• Card Beta holds: 6 Tens and 25 Ones.
Alpha True Value Value: ____________
Beta True Value Value: ____________
Compute the final sum of Card Alpha + Card Beta:
Architecture Board
Challenge 7: Missing Coordinates Logic
In this addition grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
15
35
28
?
What is the value of the question mark (?) if the columns add up vertically to 43 and 59?
Challenge 7 (Star Map Coordinate Matrix): Question mark ? = 0.245. Since Col 2 must sum to 0.595 (0.350 + 0.245 = 0.595).
Cosmic Base Ten Intervention Program • Week 3 Field Guide Page 2 of 2
10-Question Launch Drill
Slide 2B
01. 3.45 + 1.22 = _____
06. 5.84 - 2.32 = _____
02. 5.36 + 2.41 = _____
07. 7.23 - 3.56 = _____
03. 6.27 + 1.51 = _____
08. 2,450 - 1,300 = _____
04. 2.48 + 1.35 = _____
09. 6,250 - 2,890 = _____
05. 4.76 + 2.59 = _____
10. 8,340 - 4,780 = _____
Time Target: Under 5 minutes Answers should match the Daily Fast Fact tracker
Day 2 Group Mission
Slide 2C
Problem Description • Grade 5 Core Focus
The main core tank has 2.48 liters of propellant. Our secondary loader pump delivers 1.35 liters of propellant. What is the total volume of fuel inside our tanks?
Projector Workspace: Model Propellant volumes (Squares, Rods, Units)
Align decimal positions Unpack 10 hundredths units to make a tenth rod!
Mission Accomplished: Core Refuel Complete
Slide 2D
Mathematical Bridge
2.48 + 1.35 = 3.83 liters
1. Draw 2.48 as 2 Wholes, 4 Tenths and 8 Hundredths.
2. Draw 1.35 as 1 Whole, 3 Tenths and 5 Hundredths.
3. Combine hundredths: 8 + 5 = 13 Hundredths.
4. Trade 10 hundredths for 1 new tenth rod, leaving 3 Wholes, 8 Tenths, and 3 Hundredths: 3.83!
Solar Core Status
Wholes (3)
[ ] [ ] [ ]
Tenths (8)
||||||||
Hundredths (3)
***
Award: Cosmic Mechanic Badge Fuel cell stabilized at 3.83 liters!
Cosmic Base Ten • Week 3 • Day 3
Mission: Gravity Fields
Slide 3A
Escape the Gravity Pull!
We have entered a high gravity field. To break out, we must decrease our thrusters' gravitational drag value using decimal subtraction.
Time Target: Under 5 minutes Double check your decimal places on subtraction!
Day 3 Group Mission
Slide 3C
Problem Description • Grade 5 Core Focus
The local gravity field pulls with a force of 7.23 Gs. By entering the warp buffer, we can decrease gravity pull by 3.56 Gs. What is the remaining gravity pull?
Projector Workspace: Model Gravity subtraction with double borrowing
Borrow tenths, then borrow wholes Cross out the subtracted values carefully!
Mission Accomplished: Gravity Pull Escaped
Slide 3D
Mathematical Bridge
7.23 - 3.56 = 3.67 Gs
1. Represent 7.23 as 7 Wholes, 2 Tenths, and 3 Hundredths.
2. We cannot subtract 6 Hundredths from 3! Borrow 1 Tenth rod (leaves 1 Tenth, gives 13 Hundredths). 13 - 6 = 7.
Our nav-beacons are out of alignment. We must sum their parsecs locations in decimals to create a single synchronized navigation coordinate.
Operational Target Multi-step decimal addition
Beacon Alignment Records Grades 5-8 SWD • Grades 4-6 Standards
10-Question Launch Drill
Slide 4B
01. 3.45 + 1.22 = _____
06. 5.84 - 2.32 = _____
02. 5.36 + 2.41 = _____
07. 7.23 - 3.56 = _____
03. 6.27 + 1.51 = _____
08. 2,450 - 1,300 = _____
04. 2.48 + 1.35 = _____
09. 6,250 - 2,890 = _____
05. 4.76 + 2.59 = _____
10. 8,340 - 4,780 = _____
Time Target: Under 5 minutes Log scores upon completion of the drill!
Day 4 Group Mission
Slide 4C
Problem Description • Grade 5 Core Focus
The first nav-beacon measures a distance of 5.34 parsecs. The second nav-beacon measures 2.89 parsecs. What is the total parsecs distance of both beacons combined?
Projector Workspace: Model Decimal Addition with double regrouping
Align decimals and perform addition Regroup hundredths, then regroup tenths!
Mission Accomplished: Coordinate Synced
Slide 4D
Mathematical Bridge
5.34 + 2.89 = 8.23 parsecs
1. Draw 5.34 as 5 Wholes, 3 Tenths and 4 Hundredths.
2. Draw 2.89 as 2 Wholes, 8 Tenths and 9 Hundredths.
3. Combine hundredths: 4 + 9 = 13. Trade 10 hundredths for 1 new tenth rod (leaves 3 hundredths).
Time Target: Under 5 minutes Final daily flight check: finish strong!
Day 5 Group Mission
Slide 5C
Problem Description • Grade 5 Core Focus
The backup hydrogen reserve tank measures 8.25 metric tons. We vent exactly 4.69 metric tons of liquid hydrogen. How many metric tons of liquid hydrogen remain in the reserve?
Projector Workspace: Solve & Model Liquid Hydrogen Subtraction (Double Borrowing)
Align decimal positions and perform subtraction Borrow tenths, then borrow wholes!
Mission Accomplished: Vapor Pressure Balanced
Slide 5D
Mathematical Bridge
8.25 - 4.69 = 3.56 metric tons
1. Draw 8.25 as 8 Wholes (squares), 2 Tenths (lines) and 5 Hundredths (cubes).
2. We cannot subtract 9 Hundredths from 5! Borrow 1 Tenth (gives 15 hundredths). 15 - 9 = 6 hundredths.
3. We cannot subtract 6 Tenths from 1! Borrow 1 Whole (gives 11 tenths). 11 - 6 = 5 tenths.
Sector-1 has a pulling force of 9,800 Gs. Sector-2 has a pulling force of 5,700 Gs. What is the difference in gravity pull?
Solve & Model
Problem 2: Escaping Gravity Grade 5 Core (Decimal Double Borrowing)
The local gravity field pulls with a force of 7.23 Gs. By entering the warp buffer, we can decrease gravity pull by 3.56 Gs. What is the remaining gravity pull?
Solve & Model
Problem 3: Multiple Gravity Drops Grade 6 Standard (Multi-Step Subtraction)
Initial gravity pull is 8.54 Gs. Standard stabilizer drops it by 2.89 Gs and secondary drops it by 1.25 Gs. What is the final pull?
Solve & Model
Cosmic Base Ten Intervention Program • Week 3 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Parsec Align (Grades 5-8 SWD) Pod Logistics
Problem 1: Fleet Travel Sum Grade 4 Standard (Regroup Tens & Hundreds)
First probe traveled 5,600 parsecs. Second probe traveled 3,600 parsecs. What is the total parsecs traveled?
Solve & Model
Problem 2: Beacon Alignment Grade 5 Core (Decimal Double Regrouping)
The first nav-beacon measures a distance of 5.34 parsecs. The second nav-beacon measures 2.89 parsecs. What is the total parsecs distance combined?
Solve & Model
Problem 3: Multiple Beacon Check Grade 6 Standard (Three Decimal Addition)
Star beacon A is 3.75 parsecs away, beacon B is 2.85 parsecs, and beacon C is 1.48 parsecs. What is the total alignment distance?
Solve & Model
Cosmic Base Ten Intervention Program • Week 3 Daily Journal Thursday • Page 4
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 5
Name: ______________________
Date: ________________________
Mission: Hydrogen Vapor (Grades 5-8 SWD) Biosphere Air
Problem 1: Launch pad Tanks Grade 4 Standard (No Borrowing)
Refueling depot has 6,500 metric tons of hydrogen. We transfer 3,000 metric tons to the thruster tanks. How much remains in the depot?
The backup hydrogen reserve tank measures 8.25 metric tons. We vent exactly 4.69 metric tons of liquid hydrogen. How many metric tons of hydrogen remain?
Solve & Model
Problem 3: Multiple Propellant Vents Grade 6 Standard (Multi-Step Subtraction)
Central tank has 9.42 metric tons. Auxiliary vent draws 3.78 metric tons, and lab node drains 1.55 metric tons. How much remains?
Solve & Model
Cosmic Base Ten Intervention Program • Week 3 Daily Journal Friday • Page 5
Coord 1: 0.235
Coord 2: _____
Coord 3: _____
Sum Calculation: __________________________________________________
Cosmic Base Ten Intervention Program • Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Base Ten Block Decryption
A scrambled data card is represented below. Use your decimal place-value skills to translate these blocks into decimals and solve the ultimate sum:
• Card Alpha holds: 125 Thousandths and 184 Ten-Thousandths.
• Card Beta holds: 62 Thousandths and 258 Ten-Thousandths.
Alpha True Decimal Value Value: ____________
Beta True Decimal Value Value: ____________
Compute the final decimal sum of Card Alpha + Card Beta:
Architecture Board
Challenge 7: Missing Coordinates Logic
In this addition grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
0.150
0.350
0.280
?
What is the value of the question mark (?) if the columns add up vertically to 0.430 and 0.595?
Commander Sign-off Evaluate your performance on this Companion Log.
🌌 Gold Cadet 🚀 Solar Pro
Cosmic Base Ten Intervention Program • Extension Pack Module 1 • Page 3
"We cannot add halves to fourths directly! Let's multiply our numerator and denominator of 1/2 by 2. That gives us 2/4. Now we can add: 2/4 + 1/4 = 3/4!"
The navigation officer maps 3/8 of Sector Alpha and 2/8 of Sector Beta. What is the total fraction of sector space mapped?
Solve & Model
Problem 2: Star Chart Bay Grade 5 Core (Unlike Denominators)
Our coordinate bay is 2/3 full of star charts. The pilot unloads 1/6 of a bay of charts. What fraction of the bay remains filled?
Solve & Model
Problem 3: Standard Tracking Hours Grade 6 Standard (Mixed Numbers)
Charting Sector 1 takes 1 1/2 hours. Charting Sector 2 takes 2 1/4 hours. What is the total time spent charting both sectors?
Solve & Model
Cosmic Base Ten Intervention Program • Week 3 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Power Capacitors (Grades 5-8 SWD) Capacitor
Problem 1: Pipeline Charge Grade 4 Standard (Like Denominators)
Pipeline A fills 2/3 of a power cell. Pipeline B fills 1/3 of a power cell. What is the total fraction of a cell filled?
Solve & Model
Problem 2: Propellant Tanks Grade 5 Core (Unlike Denominators)
The backup tank starts with 5/6 of a tank of propellant. An engine burn consumes 1/3 of a tank. What fraction of a tank remains?
Solve & Model
Problem 3: Cooling Fluids Grade 6 Standard (Mixed Numbers)
Tank 1 has 3 1/2 liters of cooling fluid. Tank 2 has 1 1/4 liters. How many liters of cooling fluid are there in total?
Solve & Model
Cosmic Base Ten Intervention Program • Week 3 Daily Journal Thursday • Page 4
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 5
Name: ______________________
Date: ________________________
Mission: Water Supply Shares (Grades 5-8 SWD) Rations
Problem 1: Loop held fraction Grade 4 Standard (Like Denominators)
The primary loop holds 5/10 of a water container. The secondary loop holds 3/10 of a container. What is the total fraction held?
Solve & Model
Problem 2: Primary & Auxiliary water Grade 5 Core (Unlike Denominators)
The crew gets 1/2 container of fresh water, and the auxiliary bay has 3/8 container of water. What fraction of a container do they have in total?
Solve & Model
Problem 3: Reservoir Levels Grade 6 Standard (Mixed Numbers)
The water reservoir is 5 3/4 full. After three days, the crew drinks 2 1/4 of the reservoir volume. What fraction of the reservoir remains filled?
Solve & Model
Cosmic Base Ten Intervention Program • Week 3 Daily Journal Friday • Page 5
Slice 1: 1/2
Slice 2: _____
Slice 3: _____
Sum Calculation: __________________________________________________
Cosmic Base Ten Intervention Program • Week 3 Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Scrambled Ratios Decryption
Two scrambled data cards are represented below. Use your equivalent fraction skills to translate these blocks into a single combined sum:
• Card Alpha holds: 3/4 cup of battery acid.
• Card Beta holds: 2/3 cup of battery acid.
Alpha Twelfths Value Value: ____________
Beta Twelfths Value Value: ____________
Compute the final combined sum of Card Alpha + Card Beta:
Architecture Board
Challenge 7: Missing Coordinates Logic
In this addition grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
1/2
1/3
1/2
?
What is the value of the question mark (?) if the columns add up vertically to 1 whole and 5/6?
Time Target: Under 5 minutes Double check your borrowing on multiple columns!
Day 3 Group Mission
Slide 3C
Problem Description • Grade 5 Core Focus
Our target singularity coordinates is 9.23 parsecs away. We glide through the warp fold, shortening the travel distance by 4.67 parsecs. What is our remaining travel distance?
Projector Workspace: Model standard subtraction borrowing with inverses check
Borrow wholes, tenths, and hundredths in order Verify your answer with an inverse addition check!
Mission Accomplished: Singularity Crossed
Slide 3D
Mathematical Bridge
9.23 - 4.67 = 4.56 parsecs
1. Represent 9.23 as 9 Wholes, 2 Tenths, and 3 Hundredths.
Time Target: Under 5 minutes Final daily flight check: finish strong!
Day 5 Group Mission
Slide 5C
Problem Description • Grade 5 Core Focus
Our command ship has 8.12 metric tons of liquid propellant left. We burn exactly 4.56 metric tons of propellant to clear the singularity fold. How many metric tons remain?
Projector Workspace: Model Final Standard Subtraction algorithm
Line up the decimals first, then subtract columns Double check: Do we need to borrow twice? Yes!
Mission Accomplished: Command Wings Earned!
Slide 5D
Mathematical Bridge
8.12 - 4.56 = 3.56 metric tons
1. Represent 8.12 as 8 Wholes, 1 Tenth, and 2 Hundredths.
Our target singularity coordinate is 9.23 parsecs away. We glide through the warp fold, shortening the distance by 4.67 parsecs. What is the remaining distance?
Solve & Model
Problem 3: Multiple Coordinate Shifts Grade 6 Standard (Multi-Step Subtraction)
Initial coordinate point is 9.95 parsecs. Grid drift shifts it by 3.68 parsecs and thruster adjustments shift it by 1.45 parsecs. What is the final position?
Solve & Model
Cosmic Base Ten Intervention Program • Week 4 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Escape Velocity (Grades 5-8 SWD) Pod Logistics
Problem 1: Force Accumulation Grade 4 Standard (Regroup Multi-Column)
First thruster generated 4,560 kilowatts of force. Second thruster generated 3,760 kilowatts of force. What is the total force generated?
Solve & Model
Problem 2: Escape Vectors Grade 5 Core (Decimal Double Regrouping)
Thruster A logs 5.68 parsecs of escape force. Thruster B logs 2.75 parsecs of force. What is the total escape force generated combined?
Solve & Model
Problem 3: Multiple Escape Drives Grade 6 Standard (Three Decimal Addition)
Engine A provides 3.45 parsecs of push, Engine B provides 2.85 parsecs, and Engine C provides 2.15 parsecs. What is the total combined force?
Solve & Model
Cosmic Base Ten Intervention Program • Week 4 Daily Journal Thursday • Page 4
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 5
Name: ______________________
Date: ________________________
Mission: Final Flight Exam (Grades 5-8 SWD) Biosphere Air
Problem 1: Final Reservoir Purges Grade 4 Standard (Regroup Multi-Column Subtraction)
Command silo has 9,130 liters of propellant. We consume 5,680 liters during the final thrust loop. How many liters remain?
Our command ship has 8.12 metric tons of liquid propellant left. We burn exactly 4.56 metric tons of propellant. How many metric tons remain?
Solve & Model
Problem 3: Multiple Command Drains Grade 6 Standard (Multi-Step Subtraction)
Primary bank stores 9.45 metric tons. Thruster-1 consumes 3.78 metric tons, and thruster-2 consumes 2.15 metric tons. What is the final amount remaining?
Solve & Model
Cosmic Base Ten Intervention Program • Week 4 Daily Journal Friday • Page 5
Coord 1: 0.435
Coord 2: _____
Coord 3: _____
Sum Calculation: __________________________________________________
Cosmic Base Ten Intervention Program • Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Base Ten Block Decryption
A scrambled data card is represented below. Use your decimal place-value skills to translate these blocks into decimals and solve the ultimate sum:
• Card Alpha holds: 225 Thousandths and 184 Ten-Thousandths.
• Card Beta holds: 162 Thousandths and 258 Ten-Thousandths.
Alpha True Decimal Value Value: ____________
Beta True Decimal Value Value: ____________
Compute the final decimal sum of Card Alpha + Card Beta:
Architecture Board
Challenge 7: Missing Coordinates Logic
In this addition grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
0.150
0.350
0.280
?
What is the value of the question mark (?) if the columns add up vertically to 0.430 and 0.595?
Market Books Team Grades 5-8 SWD • Grades 4-6 Standards
10-Question Launch Drill
Slide 2B
01. 12.50 + 4.30 = _____
06. 7.10 - 2.85 = _____
02. 27.80 - 14.50 = _____
07. 8.45 + 4.90 = _____
03. 3.85 + 2.70 = _____
08. 1,250 + 4,300 = _____
04. 4.20 - 1.65 = _____
09. 3,480 - 1,160 = _____
05. 5.60 + 3.95 = _____
10. 4,210 + 2,890 = _____
Time Target: Under 5 minutes Answers should match the Daily Fast Fact tracker
Day 2 Group Mission
Slide 2C
Problem Description • Grade 5 Core Focus
Our trade register holds 4.50 credits. We make a sale of 3.90 credits, and then pay a transaction fee of 2.80 credits. What is our final active credit level?
Problem 1: Generator Hardware Grade 4 Standard (No Regrouping)
A primary shield generator costs 2,400 credits. An extra backup converter costs 2,400 credits. What is the total cost of both pieces of shield equipment?
Solve & Model
Problem 2: Trade Exchange Grade 5 Core (Decimal Money Synthesis)
An engineer has 5.60 credits in change. He buys a shield bolt for 4.90 credits, and then sells a spare fuse to a pilot for 3.80 credits. What is his final credits balance?
Solve & Model
Problem 3: Refund Deductions Grade 6 Standard (Synthesis Calculations)
Buying three shield components costs: 43.80 credits, 28.40 credits, and 18.50 credits. If the crew receives a cargo refund of 29.80 credits from the hangar, what is their final net cost?
Solve & Model
Cosmic Base Ten Intervention Program • Week 4 Daily Journal Wednesday • Page 3
Cosmic Base Ten • Workbook
Daily Tracker Journal: Day 4
Name: ______________________
Date: ________________________
Mission: Life Support Supplies (Grades 5-8 SWD) Cosmic Credits
Problem 1: Hangar Filter Systems Grade 4 Standard (No Regrouping)
Buying a bio-dome air filter costs 5,100 credits. Buying a secondary water filter costs 4,100 credits. What is the total cost of these vital filters?
Solve & Model
Problem 2: Account Balances Grade 5 Core (Decimal Money Synthesis)
A pilot has 6.40 credits in her account. She sells a recycled valve for 2.90 credits, and then purchases a clean filter mask for 1.80 credits. What is her final account balance?
Solve & Model
Problem 3: Nitrogen Airway Purchases Grade 6 Standard (Synthesis Calculations)
The crew buys three clean-air loops for: 51.80 credits, 39.60 credits, and 25.50 credits. If the hangar gives them a discount rebate of 18.70 credits, what is the final net price paid?
Solve & Model
Cosmic Base Ten Intervention Program • Week 4 Daily Journal Thursday • Page 4
Problem 1: Hangar Tools Grade 4 Standard (No Regrouping)
The hangar manager bought a primary wrench set for 5,800 credits and a precision screwdriver kit for 3,300 credits. How many credits did he spend in total?
Solve & Model
Problem 2: Propellant Fees Grade 5 Core (Decimal Money Synthesis)
A mechanic has 7.50 credits. He buys a cargo strap for 4.80 credits, and then sells a spare magnetic key card for 3.60 credits. How many credits does he have left?
Solve & Model
Problem 3: Flight Cargo Sales Grade 6 Standard (Synthesis Calculations)
The hangar logs three tool sales of: 67.50 credits, 28.70 credits, and 12.50 credits. If the store pays a shipping fee of 14.90 credits to deliver them, what is their net earnings?
Solve & Model
Cosmic Base Ten Intervention Program • Week 4 Daily Journal Friday • Page 5
A vortex signal starts at 9.5 Hz. A sensor surge adds 1.5 Hz, and then a gravitational drift subtracts 2.8 Hz. What is the final operational signal frequency of the vortex?
Final Operational Frequency: _________________________ Hz
Cosmic Base Ten Intervention Program • Week 4 Extension Pack Module 1 • Page 2
Cosmic Base Ten • Advanced Extension
Flight Companion Log
Name: ______________________
Date: ________________________
Challenge 6: Consoles Decryption
Three scrambled data consoles are represented below. Translate these blocks into decimals, add Console Alpha and Console Beta together, and then subtract Console Gamma to find the final value:
Compute the final decimal synthesis of (Alpha + Beta) - Gamma:
Architecture Board
Challenge 7: Capstone Coordinate Logic Matrix
In this synthesis grid matrix, the columns and rows must sum up to the target numbers indicated on the ends. Complete the missing star numbers so every line adds up correctly!
2.5
3.5
4.1
?
What is the value of the question mark (?) if the columns add up vertically to 6.6 and 7.8?
