Blueprint Perimeter Graphic Organizer
Math Architect Multi-Step Geometry & Measurement
Blueprint Perimeter Graphic Organizer
NAME:
DATE: PERIOD:
Design Challenge & Problem Statement
“Daniel’s garage is 20 feet long by 12 feet wide. His living room is the same length but twice as wide as his garage. Daniel’s house is 3 times as long and 4 times as wide as his living room. What is the total perimeter of his house? Explain how you arrived at your answer.”
1 Analyze The Relationships & Given Information
Identify knowns & scaling rules
Given Garage Specs:
Length = 20 ft
Width = 12 ft
Living Room Clue:
• Length = same as garage
• Width = twice garage width
House Clue:
• Length = 3 × living room
• Width = 4 × living room
2 Dimension Comparison Table
Complete each row in order
| Structure / Room | Length Calculation & Result | Width Calculation & Result | Dimensions |
|---|
| Daniel's Garage Base measurements | | | |
| Given in problem: | | | |
20 ft
|
Given in problem:
12 ft
| 20 × 12 ft |
| Living Room Relative to garage | Rule: Same length as garage
| Rule: 2 × garage width
| ___ × ___ |
| Daniel's House Relative to living room | Rule: 3 × living room length
| Rule: 4 × living room width
| ___ × ___ |
3 Calculate The House Perimeter
Formula: P = 2(L + W) or P = 2L + 2W
House Blueprint Diagram:
Length = _______ ft Width = _______ ft Length = _______ ft Width = _______ ft
DANIEL'S HOUSE
Label all 4 side lengths before adding
Show Your Step-by-Step Calculation:
House Perimeter:
feet
Page 1 of 2 • Dimension & Calculation Organizer Continue to Page 2 for Written Explanation
Part 2 Architectural Written Defense
Explain Your Reasoning
Goal: Clear Math Communication
Mathematician's Vocabulary & Transition Bank
Key Math Terms:
dimensions length width twice product perimeter
Connecting Transitions:
First... Next... Because... Therefore... Finally...
A Stage 1: Determining Living Room Dimensions How did garage measurements lead to living room size?
Prompt: First, I found the dimensions of the living room by...
B Stage 2: Calculating Daniel's House Dimensions How did you scale length by 3 and width by 4?
Prompt: Next, I determined the length and width of Daniel's house because...
C Stage 3: Finding and Justifying the Total Perimeter Why perimeter rather than area? What operations were used?
Prompt: Finally, to calculate the total perimeter of the house, I...
Final Architect's Conclusion Statement:
The total perimeter of Daniel's house is feet because .
Verification Checklist:
Calculated living room first
Multiplied house scaling correctly
Added all 4 sides & included units
Page 2 of 2 • Explain-Your-Reasoning Page Daniel's House Blueprint Investigation