Model Architects Teacher Guide Model Architects
Teacher Instruction Guide
Grade 4
Mathematics: Operations
LEARNING OBJECTIVE
Students will utilize part-whole bar models to distinguish between division and multiplication word problems, then construct original narratives that align with specific visual representations.
MATERIALS NEEDED
Model Architects Slides
Mystery Model Cards (set of 8)
Architect's Writing Paper
Word Problem Rubric
Lesson Timeline
5 MIN
Rapid-Fire Blueprinting (Warm-up)
Review mental math facts related to the upcoming video example.
9 × 8 = ?
72 ÷ 9 = ?
8 × 9 = ?
72 ÷ 8 = ?
5 MIN
Site Inspection (Video Analysis)
Watch the Part-Whole Bar Model - Division video. Focus on the transformation of words into a visual structure.
Teaching Moment (0:55):
Stop the video when the "?" is placed under a single unit. Ask: "Why is the question mark only on one box instead of the whole bar?"
20 MIN
Mystery Models (Main Activity)
Students receive "Mystery Model Cards". They must act as architects to build a story (word problem) that fits the provided blueprint.
Identify the Operation: Is the total unknown (Multiplication) or is the value of one part unknown (Division)?Draft the Story: Use the Writing Paper to draft a context (muffins, sports, space, etc.).Verify: Solve the equation to ensure the math matches the story.
10 MIN
Building Inspection (Reflection)
Volunteers share their stories. The class votes: "Does this story fit the blueprint?"
Extension Challenge:
Challenge students to create a "Complex Structure" by combining two bar models into a two-step word problem (e.g., finding the total, then dividing it into a second set of groups).
Part-Whole Model
Visualizing totals and shares.
The Whole
The total amount (Dividend).
The Part
The number of groups (Divisor).
The Unit
Value of one share (Quotient).
Model Architects Slides Model Architects
Designing Math Stories
Rapid-Fire Blueprinting
Solve these facts as fast as you can. Ready... Go!
Challenge Set:
9 × 8 = ______
72 ÷ 9 = ______
8 × 9 = ______
72 ÷ 8 = ______
5:00
Site Inspection
Embedded media
Watch for the "?" at 0:55!
Why is it placed under only one box?
Blueprint Breakdown
The Question Mark (?)
The location of the question mark tells you the operation!
Division
"How many in ONE box?"
Multiplication
"How many in ALL boxes?"
Division Model
72 (Total)
?
Project: Mystery Model
Observe
Look at your Mystery Card. Where is the "?" located?
Architect
Write a story problem that fits the blueprint exactly.
Calculate
Solve your math problem to check the answer!
Mystery Model Cards Mystery Model Cards
Project: Model Architects — Site Blueprints
Grade 4 Math
Teacher Note: Cut these cards out along the dashed lines. Each card provides a "blueprint" (bar model). Students must determine the operation and write a story that matches the knowns and the unknown (?).
Blueprint #1
48
?
Blueprint #2
?
12
12
12
12
Blueprint #3
60
?
Blueprint #4
?
7
7
7
7
7
7
7
Blueprint #5
36
?
Blueprint #6
?
9
9
9
9
9
Architects Writing Paper Architect's Log
Project: Model Architects Word Problem Draft
Architect:
Date:
I am working on Blueprint Card #
Site Analysis
What is the unknown value (?)
The Whole (Total Amount)
The Unit (Value of One Part)
Operation Choice
Which math tool will you use?
Multiplication
Division
THE STORY ARCHITECTURE
Draft your word problem here.
Final Calculation
Show your work here
Solution Statement
Write your final answer in a complete sentence.
Model Architects Rubric Building Permit Rubric
Model Architects Assessment Criteria
Criteria Exceeds (3) Meets (2) Approaching (1) Incomplete (0) Structural Alignment
Does the story match the bar model?
| Every number and the unknown from the card are perfectly integrated into a logical story. | Most numbers are included and the operation matches the "?" location correctly. | Story uses the correct numbers but the operation (Mult/Div) is reversed. | Story does not use the numbers or context provided on the card. |
|
Math Foundation
Is the calculation accurate?
| The equation is written correctly and solved with 100% accuracy. | The equation is written correctly but contains a minor calculation error. | The equation is written incorrectly but matches the student's story. | No equation or calculation is provided. |
|
Narrative Design
Is the word problem clear?
| The word problem is creative, clear, and ends with a specific question. | The word problem is clear and logical, though simple in context. | The story is confusing or missing a final question. | The story is illegible or irrelevant. |
|
Final Inspection
Solution statement.
| Solution is written as a complete sentence with correct units (labels). | Solution is written as a complete sentence but missing units. | Answer is given as a number only (no sentence). | No final answer is provided. |
Inspection Score
_____ / 12 Total
Architectural Feedback 
