Blueprint Basics Worksheet Blueprint Basics
Phase 1: Foundation Mix (2, 4, 8)
Builder:
Date:
Architect's Guide
Start: 1/2 + 1/4
1 × 2
2 × 2
1
4
2/4 (Light) + 1/4 (Dark) = 3/4 Total
1
1
2
1
4
=
Calculation Space
2
1
2
−
1
4
=
Calculation Space
3
3
4
1
8
=
Calculation Space
4
5
8
−
1
2
=
Calculation Space
"Always check your denominators! If they aren't the same, you can't add or subtract them yet."
Frame Finisher Worksheet Frame Finisher
Phase 2: Mixed Frames (2, 4)
Builder:
Date:
Manager's Note
Scaling Example:
1
2
× 2 →
2
4
Remember: 1 Whole = 2/2 or 4/4!
1
1
2
1
2
=
Calculation Space
2 1 −
1
4
=
Calculation Space
3
3
4
−
1
2
=
Calculation Space
4
1
4
1
2
=
Calculation Space
"Take your time! Subtraction is just about finding what's left after you scale your parts."
Eighths Elevation Worksheet Eighths Elevation
Phase 3: Precision Mix (4, 8)
Builder:
Date:
Precision Scaling
Scaling Example:
1 × 2
4 × 2
=
2
8
1/4 IS THE SAME AS 2/8
1
1
4
1
8
=
Calculation Space
2
5
8
−
1
4
=
Calculation Space
3
1
2
3
8
=
Calculation Space
4
7
8
−
1
2
=
Calculation Space
"Precision is key in high-rise building. Always double check your math before finalizing your blueprint!"
Depth Detailer Worksheet Depth Detailer
Phase 4: Excavation Mix (4, 8)
Builder:
Date:
Excavation Guide
Scaling Step:
1
2
−
3
8
→
4
8
−
3
8
=
1
8
4 Eighths − 3 Eighths (X)
1
3
4
−
1
8
=
Calculation Space
2
5
8
1
4
=
Calculation Space
3
1
2
−
1
8
=
Calculation Space
4 1 −
5
8
=
Calculation Space
5
3
8
−
1
4
=
Calculation Space
6
1
4
3
8
=
Calculation Space
"Always check the depth! Scaling to the largest denominator is the golden rule."
Master Blueprint Worksheet Master Blueprint
FINAL PHASE: MIXED CHALLENGE (2, 4, 8)
Builder:
Date:
Quick Reference
Always check the operation (+ or −) and find the common denominator (2, 4, or 8).
Example:
1
2
1
8
→
4
8
1
8
=
5
8
1
1
2
3
8
=
Show Your Calculations
2
7
8
−
1
4
=
Show Your Calculations
3
1
4
1
2
=
Show Your Calculations
4
3
4
−
3
8
=
Show Your Calculations
5
5
8
1
2
=
Show Your Calculations
6 1 −
5
8
=
Show Your Calculations
Master Builder Status
Certified in Fractional Structural Integrity
Signed & Verified:
Fraction Blueprint Keys Teacher Guide Answer Key Collection
Fraction Blueprint Lesson (Complete Key)
Teacher Resource
0. Blueprint Beginnings (Like)
1/5+2/5 = 3/5
5/8-2/8 = 3/8
2/6+3/6 = 5/6
7/10-4/10 = 3/10
3/8+4/8 = 7/8
0.1 Structural Stamina (Like 3-11)
2/3+1/3 = 1
6/7-2/7 = 4/7
1/9+4/9 = 5/9
10/11-4/11 = 6/11
3/5+1/5 = 4/5
1. Blueprint Basics
1/2+1/4 = 3/4
1/2-1/4 = 1/4
3/4+1/8 = 7/8
5/8-1/2 = 1/8
7. Advanced Assembler (Unlike)
1/3+1/5 = 8/15
3/4-1/6 = 7/12
2/7+1/3 = 13/21
5/8-1/4 = 3/8
1/9+2/3 = 7/9
3/10-1/5 = 1/10
5. Symmetry Sketcher
1/3+2/6 = 2/3
5/6-1/3 = 1/2
2/3+1/6 = 5/6
4/6-1/3 = 1/3
6. Landscape Layout
1/5+3/10 = 1/2
7/10-2/5 = 3/10
2/5+4/10 = 4/5
9/10-1/2 = 2/5
© 2026 Lenny's Learning Resources • Fraction Blueprint • Master Set 1.1
Symmetry Sketcher Worksheet Symmetry Sketcher
Phase 5: Thirds and Sixths (3, 6)
Builder:
Date:
Truss Support: Scaling Thirds
Initial Sketch: \( \frac{1}{3} + \frac{1}{6} \)
1 × 2
3 × 2
1
6
=
3
6
2/6 (Light) + 1/6 (Dark) = 3/6 (1/2)
1
1
3
2
6
=
Calculation Space
2
5
6
−
1
3
=
Calculation Space
3
2
3
1
6
=
Calculation Space
4
4
6
−
1
3
=
Calculation Space
5
1
6
1
3
=
Calculation Space
6
1
−
2
6
=
Calculation Space
"Symmetry is stability! Make sure your thirds and sixths are scaled perfectly to keep the structure standing."
Landscape Layout Worksheet Landscape Layout
Phase 6: Fifth and Tenth Review (5, 10)
Builder:
Date:
Green Space: Fifth to Tenths
Start: 1/5 + 1/10
1 × 2
5 × 2
1
10
=
3
10
2/10 (Light) + 1/10 (Dark) = 3/10
1
1
5
3
10
=
Calculation Space
2
7
10
−
2
5
=
Calculation Space
3
2
5
4
10
=
Calculation Space
4
9
10
−
1
2
=
Calculation Space
Hint: 1/2 = 5/10
5
1
5
1
2
=
Calculation Space
6
1
−
3
5
=
Calculation Space
"Proper spacing is essential for any landscape. Fifth and tenths help us divide the garden into perfect sections."
Division Drafting Worksheet Division Drafting
Phase 1: 2-Digit Divisors / 4-Digit Dividends
Engineer:
Date:
Drafting Example: Precision Columns
Align every digit in its own grid cell. This ensures subtraction happens in the correct place value and prevents errors when bringing down digits.
<table class="border-collapse font-mono text-base bg-white shadow-sm"><tbody><tr><td colspan="2" class="w-5 h-5 border border-slate-100"></td><td class="w-5 h-5 border border-slate-100 border-b-2 border-b-slate-800 text-center">1</td><td class="w-5 h-5 border border-slate-100 border-b-2 border-b-slate-800 text-center">2</td><td class="w-5 h-5 border border-slate-100 border-b-2 border-b-slate-800 text-center">3</td></tr><tr><td class="w-5 h-5 border border-slate-100 text-center">1</td><td class="w-5 h-5 border border-slate-100 border-r-2 border-r-slate-800 text-center">2</td><td class="w-5 h-5 border border-slate-100 text-center bg-blue-50/50">1</td><td class="w-5 h-5 border border-slate-100 text-center bg-blue-50/50">4</td><td class="w-5 h-5 border border-slate-100 text-center bg-blue-50/50">7</td><td class="w-5 h-5 border border-slate-100 text-center bg-blue-50/50">6</td></tr><tr><td colspan="2" class="text-right pr-1 border border-slate-100 text-slate-400">−</td><td class="w-5 h-5 border border-slate-100 border-b border-b-slate-400 text-center">1</td><td class="w-5 h-5 border border-slate-100 border-b border-b-slate-400 text-center">2</td><td colspan="2" class="border border-slate-100"></td></tr><tr><td colspan="2" class="border border-slate-100"></td><td class="border border-slate-100"></td><td class="w-5 h-5 border border-slate-100 text-center">2</td><td class="w-5 h-5 border border-slate-100 text-center">7</td><td class="border border-slate-100"></td></tr><tr><td colspan="3" class="text-right pr-1 border border-slate-100 text-slate-400">−</td><td class="w-5 h-5 border border-slate-100 border-b border-b-slate-400 text-center">2</td><td class="w-5 h-5 border border-slate-100 border-b border-b-slate-400 text-center">4</td><td class="border border-slate-100"></td></tr><tr><td colspan="4" class="border border-slate-100"></td><td class="w-5 h-5 border border-slate-100 text-center">3</td><td class="w-5 h-5 border border-slate-100 text-center">6</td></tr><tr><td colspan="4" class="text-right pr-1 border border-slate-100 text-slate-400">−</td><td class="w-5 h-5 border border-slate-100 border-b border-b-slate-400 text-center">3</td><td class="w-5 h-5 border border-slate-100 border-b border-b-slate-400 text-center">6</td></tr><tr><td colspan="5" class="border border-slate-100"></td><td class="text-center text-blue-700 font-bold border border-slate-100">0</td></tr></tbody></table>
1 Site Log: 3,480 ÷ 15
<table class="border-collapse bg-white font-mono text-lg shadow-inner"><tbody><tr><td colspan="2"></td><td colspan="4" class="h-4 border-b-2 border-slate-800"></td></tr><tr><td class="w-8 h-8 border-slate-300 border text-center">1</td><td class="w-8 h-8 border-r-2 border-slate-800 border-slate-300 border text-center">5</td><td class="w-8 h-8 border-slate-300 border text-center bg-slate-50">3</td><td class="w-8 h-8 border-slate-300 border text-center bg-slate-50">4</td><td class="w-8 h-8 border-slate-300 border text-center bg-slate-50">8</td><td class="w-8 h-8 border-slate-300 border text-center bg-slate-50">0</td></tr><script>for(let i=0; i<10; i++) { document.write('<tr>' + Array(6).fill('<td class="w-8 h-8 border-slate-200 border"></td>').join('') + '</tr>'); }</script></tbody></table>
Division Drafting Key Division Key
Division Drafting Lesson
Teacher Resource
Worksheet 1: Division Drafting
1 3,480 ÷ 15 = 232
2 5,607 ÷ 21 = 267
3 2,925 ÷ 13 = 225
4 9,450 ÷ 42 = 225
© 2026 Lenny's Learning Resources • Master Division Series
Blueprint Beginnings Worksheet Blueprint Beginnings
Core Phase: Same-Size Parts (Like Denominators)
Apprentice:
Date:
The Apprentice Rule
When denominators are the same , the pieces are already the same size . Just add or subtract the top numbers!
1
4
2
4
=
3
4
1/4 + 2/4 = 3/4
1
1
5
2
5
=
Workspace
2
5
8
−
2
8
=
Workspace
3
2
6
3
6
=
Workspace
4
7
10
−
4
10
=
Workspace
5
3
8
4
8
=
Workspace
"Start with the foundation. If the pieces are the same size, your job is easy! Just keep that denominator steady."
Structural Stamina Worksheet Structural Stamina
Apprentice Level: Like Denominators Review (3-11)
Apprentice:
Date:
The Apprentice Rule
If the pieces are the same size (same denominator), just add or subtract the numerators!
4
11
5
11
=
9
11
Blueprint Symbol
"Don't change the base!"
1
2
3
1
3
=
Structural Log
2
6
7
−
2
7
=
Structural Log
3
1
9
4
9
=
Structural Log
4
10
11
−
4
11
=
Structural Log
5
3
5
1
5
=
Structural Log
End of Inspection
"Consistent foundations lead to stable skyscrapers. When the denominators match, keep them exactly as they are in the result!"
Advanced Assembler Worksheet Advanced Assembler
Phase 7: Custom scaling (Unlike Denominators 3-11)
Engineer:
Date:
Assembly Guide: Scaling Both Parts
Example: 1/3 + 1/4
1. Find common ground: 3 and 4 both fit into 12.
2. Scale parts: \( \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \) and \( \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \)
3. Assemble: \( \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \)
4
12
3
12
=
7
12
1
1
3
1
5
=
Calculation Site 01
2
3
4
−
1
6
=
Calculation Site 02
3
2
7
1
3
=
Calculation Site 03
4
5
8
−
1
4
=
Calculation Site 04
5
1
9
2
3
=
Calculation Site 05
6
3
10
−
1
5
=
Calculation Site 06
"Complex builds require both sides to match. Multiply each fraction by a value that gets them to the same denominator!"
